subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? | [
"3388",
"2177",
"2877",
"1678",
"9680"
] | A= P{1 + R/100}n
=> 8000{1 + 10/100}2 = Rs.9680
Answer: E
The answer is: E | E |
mathematics | A and B invest money in the ratio 8:9 and they has loss of Rs.6900 at the end of year. what is the share of loss of B? | [
"Rs.1600",
"Rs.1500",
"Rs.1400",
"Rs.1300",
"None of the above"
] | et ratio of A and B be 8x & 9x
so net loss = 8x+9x= 6800
x=400
A=3x=3(400)=1200
B= 4x=4(400)=1600
so, B= 1600
ANSWER:A
The answer is: A | A |
mathematics | Two cars start from the opposite places of a main road, 140 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 ... | [
"65",
"38",
"20",
"55",
"21"
] | Answer: D) 55 km
The answer is: D | D |
mathematics | The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is | [
"fifty nine",
"57",
"55",
"58",
"60"
] | 4x-17y=1
y=(4x-1)/17
x has to be a positive integer such that 1 <=x<=1000(4x-1) is a factor of 17 so that y is also a positive integer
So we need to know how many numbers in the set {3,7,11,15,....,3999} are divisible by 17
Lets try to observe the pattern
1. 3 mod 17 = 3
2. 7 mod 17 = 7
3. 11 mod 17 = 11
4. 15 mod 17 =... | A |
mathematics | Two pipes can fill a tank in 15 minutes and 12 minutes. The outlet pipe can empty the tank in 20 minutes. If all the pipes are opened when, the tank is empty, then in how many minutes will it take to fill the tank? | [
"12",
"13",
"11",
"10",
"9"
] | Part of tank filled by all three pipes in one minute =
1/15 + 1/12 – 1/20 = (8+10-6) / 120
= 18-6 / 120
= 1/10
So, the tank becomes full in 10 minutes.
ANSWER:D
The answer is: D | D |
mathematics | In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 17 to the thrice of the remainder. The dividend is | [
"74",
"146",
"86",
"92",
"98"
] | Divisor = (6 * 3) + 17 = 35
5 * Quotient = 35
Quotient = 7.
Dividend = (Divisor * Quotient) + Remainder
Dividend = (20 * 7) + 6 = 146.
B)
The answer is: B | B |
mathematics | If it takes a tub 2 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty? | [
"48 seconds",
"1 minute, 12 seconds",
"1 minute, 50 seconds",
"2 minutes, 14 seconds",
"4 minutes, 12 seconds"
] | If 5/7 of tub's content is drained 2/7 th of tub still needs to be drained.
If it takes 2 minutes to drain 5/7 th of tub it takes 2*(7/5) minutes to drain the entire tub and 2*(7/5)*(2/7) min to drain 2/7 th of the tub which is 4/5 minutes or 48 minutes
So answer is A
The answer is: A | A |
mathematics | John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 140% of John's weight. Which of these 5 people weighs the least? | [
"John",
"Susan",
"Sam",
"Mark",
"Lynn"
] | John weighs twice as much as Susan --> J=2S --> John cannot weigh the least;
Susan's weight is 60% of Sam's weight --> S=0.6*Sam --> Sam cannot weigh the least;
Mark weighs 50% of Lynn's weight --> M=0.5*L --> Lynn cannot weigh the least;
Lynn weighs 140% of John's weight --> L=1.9*J --> John cannot weigh the least (we... | B |
mathematics | A rectangular circuit board is designed to have width w inches, perimeter p inches, and area r square inches. Which of the following equations must be true? | [
"w^2 + pw + r = 0",
"w^2 - pw + 2r = 0",
"2w^2 + pw + 2r = 0",
"2w^2 - pw - 2r = 0",
"2w^2 - pw + 2r = 0"
] | Notice that we can discard options A, and C right away. The sum of 3 positive values Cannot be 0.
Now, assume:
Width =w = 1 inchand length = 1 inch;
Perimeter =p = 4 inches;
Area =r = 1 square inches.
Plug the values of w, p, and r into the answer choices: only for E 2w^2 - pw + 2r = 2 - 4 + 2 = 0.
Answer: E.
The answe... | E |
mathematics | In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 65, what is the greatest possible value of B × A? | [
"0",
"5",
"10",
"15",
"25"
] | You should notice that 65*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0=0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*2=10 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).... | C |
mathematics | If four coins are tossed, the probability of getting two heads and two tails is | [
"3/8",
"6/11",
"2/5",
"4/5",
"5/11"
] | Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer : A
The answer is: A | A |
mathematics | Mary's income is 70 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income? | [
"124%",
"102%",
"96%",
"80%",
"64%"
] | Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 102 (70 percent more than Tim's income).
Thus, Mary's income (102) is 102% of Juan's income (100).
Answer: B.
The answer is: B | B |
mathematics | In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 60 different models of televisions, what is the minimum number of letters that must be used to make the codes? | [
"6",
"7",
"8",
"9",
"10"
] | If n is the number of distinct letters used to create the two lettered codes, then a total of n∗n=n^2 different codes can be created. We need n2≥60. The smallest n which fulfills this condition is n = 8.
Answer C
The answer is: C | C |
mathematics | The average (arithmetic mean) of four distinct positive integers is 5. If the average of the smaller two of these four integers is 6, which of the following represents the maximum possible value of the largest integer? | [
"2",
"4",
"3",
"8",
"1"
] | Let the distinct number be A,B,C, and D
Its given A > B > C > D
also A + B + C + D =20 and A + B = 6 means C + D = 14
Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 8
Answer : D
The answer is: D | D |
mathematics | The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 158.4, what is the average of the other half? | [
"12.8",
"24.2",
"48.6",
"72.1",
"96.8"
] | arithmetic mean = sum / total numbers
sum = 44.1 * 8 = 352.8
sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum = 352.8-158.4 = 194.4
Arithmetic mean of the 4 nos = 194.4/4 = 48.6
Hence, C is the answer.
The answer is: C | C |
mathematics | The average of four consecutive odd numbers is 24. Find the largest number? | [
"25",
"29",
"27",
"31",
"None"
] | Let the numbers are x, x+2, x+4, x+6, then
x+(x+2)+(x+4)+(x+6)/4=24
4x+12/4=24
x+3=24
x=21
So largest number is 21 + 6 = 27
Answer C
The answer is: C | C |
mathematics | In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/15 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders? | [
"23/30",
"11/15",
"7/10",
"4/5",
"2/15"
] | 1/5 -- cable TV (This includes some data from video cassette recorder)
1/15 -- video cassette recorder including 1/3(equiped with cable tv) i.e. 1/3(1/5) = 1/15
therefore only video cassette recorder = 1/15 - 1/15 = 0
Total = 1/5+0+neither cable tv nor videocassette recorders
1 = 1/5 + neither cable tv nor videocassett... | D |
mathematics | A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years. | [
"3.5",
"3.75",
"4",
"4.25",
"4.5"
] | (1000xtx3/100) + (1400xtx5/100) = 350 → t =3.5 answer A
The answer is: A | A |
mathematics | In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1,155, and if 1< p < q < r < s, how many students in the class are accounting majors? | [
"3",
"5",
"8",
"11",
"17"
] | Prime factorization of the product
pqrs = 1155
= 3* 5 *7 * 11
Since 1< p < q < r < s
Number of students who are accounting majors , p = 3
Answer A
The answer is: A | A |
mathematics | Johnny makes $6.75 per hour at his work. If he works 10 hours, how much money will he earn? | [
"$67.50",
"$54",
"$28.50",
"$12.50",
"$9.60"
] | 6.75*10=67.50. Answer is A.
The answer is: A | A |
mathematics | 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? | [
"6",
"5",
"7",
"8",
"2"
] | 1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
Answer:C
The answer is: C | C |
mathematics | If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1? | [
"200 km",
"210 km",
"220 km",
"240 km",
"250 km"
] | let the distance travelled at 40 kmph=x km
distance travelled at 30 kmph =300-x km
x/40 + (300-x)/30 = 8
x = 240
ANSWER:D
The answer is: D | D |
mathematics | An employer pays Rs.20 for each day a worker works and for fests Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal? | [
"40",
"30",
"70",
"20",
"10"
] | Suppose a worker remained ideal for x days then he worked for 60-x days
20*(60-x)-3x=280
1200-23x=280
23x=920
x=40
Answer is A.
The answer is: A | A |
mathematics | A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference? | [
"10 feet",
"12 feet",
"13 feet",
"15 feet",
"18 feet"
] | total circuit=16/4=4
total feet squirrel travels=4*3=12 feet
ANSWER:B
The answer is: B | B |
mathematics | Fresh grapes contain 70% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 30kgs of raisins? | [
"75 kgs",
"64kgs",
"72 kgs",
"65 kgs",
"70 kgs"
] | The weight of non-water in 30 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-70=30% of whole weight),
so 30*0.75 = x*0.3
--> x = 75.
Answer: A.
The answer is: A | A |
mathematics | Find the invalid no.from the following series 15 46 63 71 75 77 78 | [
"15",
"46",
"75",
"77",
"78"
] | In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right cl... | B |
mathematics | Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. The sales total for September was approximately what percent of the year´s sales? | [
"15 %",
"27%",
"31%",
"42%",
"75%"
] | 11 moth avg = x
11 month total = 11x
sept = 400% of x + x = 5x
sept/total = =5x/(11x+5x) = =31%
ANSWER:C
The answer is: C | C |
mathematics | In a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. If there are 30 children in the kindergarten, how many of them have cats? | [
"6",
"12",
"14",
"16",
"20"
] | A : Only Cats
B : Both Cats and Dogs
C : Only Dogs
As per question, A + B + C =30
C = 18
B = 6, so A = 6. Hence, A + b = 12. Answer is B
The answer is: B | B |
mathematics | If A:B is 7:5, B:C is 3:4 and C is 30 then what is the value of A? | [
"31.5",
"25.5",
"32.5",
"33.8",
"35.7"
] | A/B=7/5,
B/C=3/4,C=30
B=90/4
4A/90=7/5
A=630/20
A=31.5
ANSWER:A
The answer is: A | A |
mathematics | When a is divided by b, the quotient is c with remainder 5. What is a in terms of 5, b, and c? | [
"bc-5",
"5bc",
"5b/c",
"b/c",
"bc+5"
] | a/b =c with remainder 5
i.e, a-5 = bc
a= bc+5
Answer : E
The answer is: E | E |
mathematics | professor absentminded has a very peculiar problem that he cannot remember number larger than 15. however he tells his wife, i can remember any number up to 100 by remembering the three numbers obtained as remainder when the numbers is divided by 3,7 and 11 respectively. for example (2,3,6)is 17. professor remembers th... | [
"45",
"46",
"47",
"48",
"49"
] | find out the common term in those 3 series for (2,4,8)
3N+2=2,5,8,11,14......71,74
7N+4=4,11,18...67,74
11N+8=8,19,30......63,74
find out the common term in those 3 series for (2,5,4)
3N+2=2,5.....23,26
7N+5=5,12,19,26
11N+4=4,15,26
now 74-26=48
ANSWER:D
The answer is: D | D |
mathematics | 1, 8, 27, 64, 125, 216, (....) | [
"354",
"343",
"245",
"392",
"400"
] | The pattern is 1^3, 2^3, 3^3, 4^3, 5^3, 6^3, etc
Hence, next number is 7^3 = 343
Answer is B
The answer is: B | B |
mathematics | X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be? | [
"15 days.",
"12 days.",
"24 days.",
"13 days.",
"16 days."
] | X and y complete in one day =1/12 part, y completes in one day=1/24 parts. Therefore X alone can do in one day =1/24part. Therefore the work can be finished by X = 24 days. Ans: C
The answer is: C | C |
mathematics | Which of the following best approximates the value of q if 5^25+5^15=5^q ? | [
"40",
"26",
"25",
"24",
"20"
] | We have: 5^25+5^15=5^q
==> because 5^15 > 0 --> 5^q MUST be equal or greater than 5^25 ==>q MUST be equal or greater than 25
==> Option D and E are out immediately.
Divide both sides by 5^q and q >= 25
We have:
5^(25-q) + 5^15/5^q = 1
Because q >= 25 ==>5^15/5^q = 0.0000xyz, that is very small,we can ignore it.
Thus, 5... | C |
mathematics | Average temperature of first 4 days of a week is 6°C and that of the last 4 days is 40.3°C. If the average temperature of the week be 39.1°C, the temperature on 4th day is? | [
"36.7°C",
"38.6°C",
"39.8°C",
"41.9°C",
"51.9°C"
] | Let temperature on 4th day be X°C
Therefore, 4 x 38.6 + 4 x 40.3 - X = 7 x 39.1
=> X = 41.9
Therefore, temperature on 4th day = 41.9°C.
ANSWER:D
The answer is: D | D |
mathematics | If A and B are positive integers, and the remainder obtained when A is divided by B is the same as the remainder obtained when B is divided by A, which of the following is a possible value of AB? | [
"62",
"55",
"49",
"34",
"24"
] | I am not too sure on this. I guess it is possible only when A and B are both same. If they are both same, AB must be a perfect square.
49 is a perfect square.
Ans:C
The answer is: C | C |
mathematics | Find out the C.I on Rs.6000 at 4% p.a. compound half-yearly for 1 1/2 years | [
"367.25",
"306.07",
"306.04",
"306.03",
"306.01"
] | A = 6000(51/50)3
= 6367.248
6000
-----------
367.25
Answer:A
The answer is: A | A |
mathematics | A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it... | [
"59028",
"59010",
"59190",
"59000",
"92700"
] | Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the re... | D |
mathematics | Sam invested Rs. 12000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be? | [
"13230.0",
"12300.02",
"16537.5",
"15000.0",
"16537.11"
] | P = Rs. 12000 ; R = 10% p.a. = 5% per half-year; T = 1 year
= 2 half-year
Amount = [12000 * (1 + 5/100)2]
= (12000 * 21/20 * 21/20)
= Rs.13230.00
Answer:A
The answer is: A | A |
mathematics | What is the sum of the integers from -150 to 155, inclusive? | [
"865",
"955",
"1050",
"765",
"750"
] | In an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=155, a=-150, d=1
hence, 155=-150+(n-1)
or n=306
Sum of n terms can be calculated by sn=n/2(a+l)
a=first term, l=last term, n=no. of terms
sn=306*(-150+155)/2
sn=306*5/2 = 765
Answer : D
The answer is: D | D |
mathematics | A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone
can do the whole work in | [
"15 days",
"10 days",
"9 days",
"8 days",
"None of these"
] | Explanation:
Ratio of times taken by A and B = 1:3
Means B will take 3 times which A will do in 1 Ɵme
If difference of time is 2 days, B takes 3 days
If difference of time is 10 days, B takes (3/2) * 10 =15 days
Answer: A
The answer is: A | A |
mathematics | The sum of three consecutive even numbers multiples of 3 is 72. what is the largest number ? | [
"21",
"24",
"27",
"36",
"None"
] | Solution
let the number be x and x + 2.
Then, (x + 2)2 - x2 = 84 ⇔ 4 x + 4 = 84 ⇔ 4 x = 80 ⇔ x = 20.
∴ Required sum = x + (x + 2) = 2 x + 2 = 42.
Answer C
The answer is: C | C |
mathematics | If the price has fallen by 15% what percent of its consumption be: increased so that the expenditure may be the same as before? | [
"11 1/8%",
"11 1/5%",
"17 11/17%",
"18 7/9%",
"21 1/9%"
] | 100 – 15 = 85
85------15
100------? => 17 11/17%
Answer: C
The answer is: C | C |
mathematics | If a young child was 15 months old one year ago, how old was the child, in months, x months ago? | [
"x − 27",
"x − 12",
"15 − x",
"24 − x",
"27 − x"
] | The child's age today is 15 months + 12 months = 27 months
x months ago, the child's age was (27 - x) months old.
The answer is E.
The answer is: E | E |
mathematics | From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 12 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ? | [
"38",
"39",
"40",
"41",
"42"
] | Soln:-
12x=45 --> 28/25*x=45 --> x=45*25/28=1125/28=~40
Answer: C.
The answer is: C | C |
mathematics | Shopkeeper rise price by 34% and gives successive discount of 10% and 15%. What is overall % gain or loss? | [
"2.51%",
"4.51%",
"3.51%",
"6.51%",
"7.51%"
] | Let d initial price be 100
34 % rise
now price = 134/100*100 = 134
10% discount
Then price = 134 * 90/100 = 120.6
15 % discount
Then price = 120.6 * 85/100 = 102.51
So Gain = 102.51 - 100 = 2.51
Gain % = Gain * 100 /CP
==> 2.51 * 100 /100 = 2.51%
ANSWER:A
The answer is: A | A |
mathematics | The present worth of a sum due sometimes hence is Rs.5760 and the banker's gain is Rs.10. What is the true discount? | [
"Rs. 480",
"Rs. 420",
"Rs. 120",
"Rs. 240",
"None of these"
] | TD = √PW × BG
=√5760×10
=√57600
= Rs. 240
ANSWER:D
The answer is: D | D |
mathematics | Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east o... | [
"14th",
"15th",
"16th",
"17th",
"18th"
] | 3.2 km / 200 m = 16.
However, the street at the 3.2-km mark is not 16th Street; it is Cherry Street.
Therefore, the highest numbered street is 15th Street.
The answer is B.
The answer is: B | B |
mathematics | If a coin is tossed twice what is the probability that it will land either heads both times or tails both times? | [
"1/8",
"1/6",
"1/4",
"1/2",
"1"
] | Prob to get 2 heads = 1/2*1/2 = 1/4
Prob to get 2 tails = 1/2*1/2 = 1/4
So, Prob to get either 2 heads or 2 tails = 1/4+1/4 = 1/2
Answer will be D.
The answer is: D | D |
mathematics | If 625(5^x) = 1 then x= | [
"–2",
"-4",
"0",
"-1",
"2"
] | 5^x = 1/625
5^x = 1/5^4
5^x= 5^-4
x = -4
B
The answer is: B | B |
mathematics | A can do a piece of work in 8 hours; B and C together can do it in 12 hours, while A and C together can do it in 16 hours. How long will B alone take to do it? | [
"7 8/5 hours",
"5 9/8 hours",
"5 6/8 hours",
"6 6/7 hours",
"none of the above"
] | A's 1 hour's work = 1/8 ;
(B + C)'s 1 hour's work = 1/12 ;
(B + C)'s 1 hour's work = 1/16
(A + B + C)'s 1 hour's work = (1/8 + 1/12) = 5/24
B's 1 hour's work = (5/24 - 1/16) = 7/48
B alone will take 48/7 hours to do the work.
=6 6/7
Answer = D
The answer is: D | D |
mathematics | Given two fair dice, what is the probability Q that the sum of their numbers is 4 if exactly one die shows a 3? | [
"a) 2/11",
"b) 1/18",
"c) 3/11",
"d) 2/39",
"e) 1/5"
] | If exactly one die shows 3, there are 10 such combinations (given that we have 2 fair dice).
1:3, 2:3, 4:3, 5:3, 6:3,
3:1, 3:2, 3:4, 3:5, 3:6
The sum of numbers would be 4 for two events: 1:3, 3:1.the probability Q that the sum of their numbers is 4 if exactly one die shows a 3
2/11 would be the answer if 'at least one... | A |
mathematics | If x, 3, 5, 7 are there and the range and median of them are the same, what is the value of x? | [
"0",
"1",
"2",
"5",
"4"
] | Try taking the values of x as you suggested and then see if the median and the range are equal.
Once you do that, you will get the answer yourself.
Tried substituting values starting with 3, 5, 7...
only x = 5 satisfies the condition.
D
The answer is: D | D |
mathematics | The average expenditure of a man for the first five months is Rs.180 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is : | [
"Rs.140",
"Rs.150",
"Rs.160",
"Rs.175",
"none"
] | Explanation:
Total income = Rs.(180×5+130×7+290)=Rs.2100
Average monthly income
= Rs. (2100/12)=Rs.175
Correct Option: D
The answer is: D | D |
mathematics | If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -. | [
"1/4",
"1/2",
"3/4",
"3/5",
"None of these"
] | The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
ANSWER:B
The answer is: B | B |
mathematics | During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 150 miles to her detination. What was the total distance, in miles fro... | [
"280",
"320",
"360",
"400",
"480"
] | Easy 400 is the answer.
3/4 ( x/2) = 150
x = 150 * 8 /3 = 400.
Answer D
The answer is: D | D |
mathematics | On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investm... | [
"$5",
"$15",
"$50",
"$100",
"$105"
] | Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.
With respect to the problem at hand, at the end of two years, Tim would have
1,000(1.10)^2 = 1,000(1.2... | A |
mathematics | If it takes 6 identical printing presses exactly 4 hours T to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers? | [
"3 hours, 20 minutes",
"4 hours, 20 minutes",
"4 hours, 48 minutes",
"5 hours, 48 minutes",
"6 hours, 50 minutes"
] | 6 presses - 5,000 newspapers - 4 hours ;
3 presses - 2,500 newspapers - 4 hours ;
3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = T.
Answer: C.
The answer is: C | C |
mathematics | Find LCM of fraction series 4/5, 8/35, 2/15, 6/25 ? | [
"36/5",
"24/5",
"16/5",
"36/7",
"25/2"
] | We know that the LCM for fraction can be calculated as:
LCM = (LCM of numerators) / (HCF of denominators)
= (LCM of 4, 8, 2, 6) / (HCF of 5, 35, 15, 25)
= (2 x 2 x 2 x 3) / (5)
= 24 / 5
Ans - B
The answer is: B | B |
mathematics | A can do a work in 3 days. B can do the same work in 6 days. If both A & B are working together in how many days they will finish the work? | [
"3",
"5",
"4",
"2",
"6"
] | A rate = 1/3
B rate = 1/6
(A+B) rate = (1/3)+(1/6) = 1/2
A & B finish the work in 2days
correct option is D
The answer is: D | D |
mathematics | A cricket player whose bowling average was 20.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match? | [
"64",
"72",
"101",
"111",
"128"
] | Average = Total Runs / Total wickets
Total runs after last match = 20.5w + 52
Total wickets after last match = w + 5
(20.5w + 52) / (w + 5) = 20.5 - 0.5 = 20
w = 96
so total wickets aftr last match = w+5 = 101
ANSWER:C
The answer is: C | C |
mathematics | What distance will be covered by a bus moving at 72 kmph in 30 seconds? | [
"700 m",
"500 m",
"800 m",
"600 m",
"400 m"
] | D
600 m
72 kmph = 72 * 5/18 = 20 mps
D = Speed * time = 20 * 30 = 600 m.
The answer is: D | D |
mathematics | There are 10 magazines lying on a table; 5 are fashion magazines and the other 5 are sports magzines. If 4 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected? | [
"60/61",
"40/42",
"41/42",
"45/46",
"54/55"
] | 1- (5c4/10c4) = 1-1/42 = 41/42
Answer : C
The answer is: C | C |
mathematics | 20 men do a work in 20days. How many men are needed to finish the work in 5days? | [
"50",
"20",
"80",
"10",
"15"
] | men required to finish the work in 5days = 20*20/5 = 80
Answer is C
The answer is: C | C |
mathematics | Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 590. The income of the deceased was? | [
"Rs. 692.80",
"Rs. 820",
"Rs. 1170",
"Rs. 1385",
"None"
] | Answer
Income of the deceased = Total income of 4 members - total income of remaining 3 members.
= 735 x 4 - 590 x 3 Rs.
= 1170 Rs.
Correct Option: C
The answer is: C | C |
mathematics | A room 14 m 21 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. | [
"22636",
"22640",
"22647",
"22533",
"22675"
] | Explanation:
Area of the room = (1421 x 777) cm2.
Size of largest square tile = H.C.F. of 1421 cm and 777 cm = 7 cm.
Area of 1 tile = (7 x 7) cm2.
Number of tiles required =(1147×777)/(7×7)=22533
Answer: Option D
The answer is: D | D |
mathematics | The average age of a group of persons going for picnic is years. Sixteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is | [
"5",
"10",
"16",
"45",
"52"
] | Solution
Let the initial number of persons be x. Then
16x + 16 x 15 = 15.5(x+20)
= 0.5x = 8
x = 16
Answer C
The answer is: C | C |
mathematics | How many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number? for example if we take 98 then 9*8=72, 72=7*2=14, 14=1*4=4. Consider only 4 prime numbers (2,3,5,7) | [
"27",
"28",
"18",
"99",
"01"
] | Explanation:
2 = 12 or 21 So 1×2, 2×1, 3×4, 4×3, 2×6, 6×2, 3×7, 7×3
3 = 13 or 31 So 1×3, 3×1
5 = 15, 51 So 1×5, 5×1, 3×5, 5×3, 7×5, 5×7
7 = 17 or 71 So 1×7, 7×1
15 = 3×5 = 5×3
So total 18 numbers = 12,13,15,17,21,26,31,34,35,37,43,51,53,57,62,71,73,75
Answer:C
The answer is: C | C |
mathematics | A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race? | [
"111.12",
"111.13",
"111.22",
"111.0",
"111.12"
] | A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9
= 888.88 m.
B can give C = 1000 - 888.88
=111.12m.
Answer:A
The answer is: A | A |
mathematics | The curved surface of a sphere is 64 π cm2. Find its radius? | [
"8",
"6",
"4",
"2",
"5"
] | 4 πr2
= 64
=> r = 4
Answer: C
The answer is: C | C |
mathematics | A deer is standing 50 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 80 meters from the tunnel. If the deer ran in the opposite direction ... | [
"90",
"100",
"110",
"120",
"130"
] | Let x be the length of the tunnel.
When the deer runs 50 meters west, the train goes 500 meters to a point 80 meters from west entrance of the tunnel.
When the deer runs east, the deer runs x-50 meters while the train goes x + 500 + 80 meters.
x + 500 + 80 = 10(x-50)
9x = 1080
x = 120 meters
The answer is D.
The answer... | D |
mathematics | A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? | [
"3989",
"2772",
"2500",
"2888",
"1551"
] | A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 200
B capital = 15000*1/6 = 2500
Answer: C
The answer is: C | C |
mathematics | A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ? | [
"4 months",
"5 months",
"6 months",
"8 months",
"9 months"
] | Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months.ANSWER D
The answer is: D | D |
mathematics | a number divided by 44 leaves remainder 12 what is the remainder when same number divided by 12 | [
"7",
"8",
"9",
"10",
"11"
] | add 44+12=56
now 56divided by 12 so we get 8 as reaminder
ANSWER:B
The answer is: B | B |
mathematics | From a group of 5 managers (Joon, Kendra, Lee, Marnie and Noomi), 2 people are randomly selected to attend a conference in Las Vegas. What is the probability that Marnie and Noomi are both selected? | [
"0.1",
"0.2",
"0.25",
"0.4",
"0.6"
] | (1/6)*(1/5)+(1/6)*(1/5)=2/30=1/15
ANS:A
The answer is: A | A |
mathematics | In a simultaneous throw of two coins, the probability of getting atleast one headis: | [
"1/2",
"1/3",
"2/3",
"3/4",
"1/4"
] | n(S)=4
E = even getting at least one head
N(E)=3
P(E)=3/4
ANSWER D 3/4
The answer is: D | D |
mathematics | Ace Transport has acquired two trucks to carry different types of cargo. One costs $70,000; the other costs $52,000. The company expects that the first will last 165,000 miles, after which it can be sold for salvage for about $4,000. The other will fetch the same salvage price, but will last 200,000 miles. The two truc... | [
"87,500 miles",
"100,000 miles",
"107,750 miles",
"112,500 miles",
"The residual values will never be equal."
] | Truck 1 : 70,000 = m1 * 165,000 + 4,000 , where m1 is the depreciation $ per mile
Solve for m1 = 0.4
So the depreciation line for Truck 1 is y = 0.4 x + 4,000 , where y is in dollars and x is in mileage.
Similarly for Truck 2 : 52,000 = m2 * 200,000 + 4,000
and this gives m2 = 0.24
and similar line for Truck 2 is y = 0... | D |
mathematics | Albert invested amount of 12000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit | [
"Rs. 8510",
"Rs. 8620",
"Rs. 8730",
"Rs. 13230",
"None of these"
] | Explanation:
=>(12000×(1+5/100)2)
=>12000×21/20×21/20
=>13230
Option D
The answer is: D | D |
mathematics | What will be the remainder of the following division:
(1234567....141516...20212223....404142)/43? | [
"0",
"1",
"2",
"3",
"4"
] | first add the digits
1+2+3+.........+42
=>903
then 903 divided by 43
because it is the rule of division by 43( a prime number)
so 903%43=0
% is modulo operator it returns the remainder part
ANSWER:A
The answer is: A | A |
mathematics | Patanjali walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day... | [
"24",
"44",
"58",
"60",
"62"
] | Patanjali walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3 = 6 Hours
Second day time of walk = 6-1 = 5 hours and Speed = 3+1=4 miles per hour i.e. Distance walked on second day = 5*4 = 20 miles
Third day time of walk = 6 hours and Speed = 4 miles per hour i.e. Distance ... | E |
mathematics | A can finish a piece of work in 5 days. B can do it in 25 days. They work together for four days and then A goes away. In how many days will B finish the work? | [
"3 days",
"1 day",
"2 days",
"4 days",
"5 days"
] | 4/5 + (4 + x)/25 = 1 => x = 1 day
Answer: B
The answer is: B | B |
mathematics | Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 25% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above? | [
"5%",
"10%",
"15%",
"25%",
"30%"
] | The formula is
n(AUBUC) = n(A)+n(B)+n(C)-B+A-N
where B is both (it will sum of (AB), (BC), (CA)).
and A is All
and N is neither
so plugging in we get
100 = 60+50+25+10-B-0
B = 45.
exactly two = 45 - 3(10) = 15
subtracting 10% three times as this value is including in all the (AB), (BC), (CA).
Answer C
The answer is: C | C |
mathematics | A feed store sells two varieties of birdseed: Brand A, which is 65% millet and 35% sunflower, and Brand B, which is 40% millet and 60% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A? | [
"40%",
"45%",
"50 %",
"60 %",
"55 %"
] | Yes there is a simple method :
Consider the following method
Brand A : 65% millet and 35% sunflower
Brand B : 40% millet and 60% safflower
Mix : 50% millet
Here the weighted average is 50%,
Now Brand A has 65% millet, which is 15% more than the weighted average of mix = + 0.15 A --------------- I
Similarly, Brand B has... | A |
mathematics | The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 50%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output? | [
"20%",
"24%",
"30%",
"32%",
"39%"
] | take it as original output =100.
to meet demand increase by 10%, then output=110.
to meet holiday demand , new output increase by 50% then output equals 165
To restore new holidy demand output to original 100.
final -initial/final*100
=65/165*100=39% approxiamately.
option E is correct.
The answer is: E | E |
mathematics | B completes a work in 6 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days? | [
"3.33 days",
"4.33 days",
"5.33 days",
"6.33 days",
"7.33 days"
] | 1/5 + 1/10 = 3/10
10/3 = 3.33 days
ANSWER:A
The answer is: A | A |
mathematics | Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.2 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years? | [
"24 years",
"44 years",
"34 years",
"64 years",
"16 years"
] | 16 years
If current ages of Rahim and Thomas be 5A years and 4A years correspondingly
Then, 5A + 2 = 11
4A + 2 = 9
9(5A + 2)=11(4A + 2)
A = 4
Thomas’s current age = 4A
= 16 years.
E
The answer is: E | E |
mathematics | A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day befo... | [
"a) $100",
"b) $115",
"c) $125",
"d) $130",
"e) $135"
] | I recommend one should use fractions to solve this one rather than converting it into decimals
Sol:
1500 heads -> $600
1 head -> $600/1500
1 head -> $(2/5)
25% more of (2/5) -> 125/100 * 2/5 = $(1/2)
He sold 2/3*1500 = 1000 heads for $(1/2) per head
Total revenue by selling 1000 heads = 1000 * 1/2 = $500
Heads left: 50... | C |
mathematics | How many numbers between 0 and 1770 have a prime tens digit and a prime units digit? | [
"266",
"272",
"278",
"284",
"290"
] | From 1-9 there are 4 prime numbers {2, 3, 5, 7}. The 10s and 1s of the number must be made with these numbers. The total number of combinations is 4*4 = 16. Thus every set of 100 consecutive positive integers has 16 such numbers.
From 0 to 1700, there 16*17 = 272 such numbers.
From 1701 to 1770, the 10s units can only ... | D |
mathematics | Last week we got 3.5 inches of snow. Six-tenths of an inch melted before another storm added
8.3 inches. Since then we have lost 4.2 inches to melting or evaporation. How may inches of snow
are left on the ground? | [
"7\" remaining",
"5\" remaining",
"8\" remaining",
"6\" remaining",
"10\" remaining"
] | 3.5 - .6 = 2.9"
2.9 + 8.3 = 11.2"
11.2 - 4.2 = 7" remaining
correct answer A
The answer is: A | A |
mathematics | A club wants to mix 10 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? | [
"20",
"30",
"40",
"50",
"60"
] | Let number of pounds of 5$ candy to be used be w
6 = (10*8 + 5*w)/(10 +w)
=> 60 + 6w = 80 + 5w
=> w = 20
Answer A
The answer is: A | A |
mathematics | Molly can do a task in 15 days while Sandy can do the task in 10 days. How many days will it take to complete the task if both work together? | [
"6",
"7",
"7.5",
"8",
"9"
] | Each day, Molly can do 1/15 of the task.
Each day, Sandy can do 1/10 of the task.
Each day, they can do 1/15 + 1/10 = 1/6 of the task.
The task will be completed in 6 days.
The answer is A.
The answer is: A | A |
mathematics | What is 0.1 percent of 12,356? | [
"0.12356",
"1.2356",
"12.356",
"0.012356",
"0.0012356"
] | Since, Percent=1/100, what=something(s), and is:=. We can write the question as s=0.1(1/100)12,356. The answer is 12.356. Hence, the correct answer is C.
The answer is: C | C |
mathematics | The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? | [
"10",
"99",
"77",
"55",
"22"
] | Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream
= (80-60)/2
= 10 kmph.
Answer: A
The answer is: A | A |
mathematics | The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 360 metres, what is its area? | [
"1320 sq.metres",
"4260 sq.metres",
"6870 sq.metres",
"7875 sq.metres",
"None of these"
] | Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 360 ⇒ x = 15
Area = 7 × 15 × 5 × 15 = 7875 sq.m.
Answer D
The answer is: D | D |
mathematics | At a certain supplier, a machine of type A costs $24,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c... | [
"$2,640",
"$11,200",
"$12,000",
"$12,800",
"$13,200"
] | Total Cost of 2 Machines of Type A
= 20% of (Cost of 2 machine A) + remainder + 40 % remainder
= 20% of 48000 + (48000 - 20% of 48000) + 40% of (48000 - 20% of 48000)
= 63360
Total Cost of 1 Machine of Type B
= 20% of (Cost of 1 machine B) + remainder + 40 % remainder
= 20% of 50000 + (50000 - 20% of 50000) + 40% of (5... | A |
mathematics | Which of the following functions does not intersect with E = 3x^2 + 2x + 1 | [
"E = 3x^2 + 3x + 1",
"E = 2x^2 + 3x + 1",
"E = 3x^2 + 2x + 3",
"E = 4x^2 + 2x - 3",
"E = x^2 + 2x + 3"
] | Let’s find the actual intersecting point of given function and each choice E.
A. 3x^2 + 2x + 1 = 3x^2 + 3x + 1 --> x=0
B. 3x^2 + 2x + 1 = 2x^2 + 3x + 1 --> x^2 – x =0 --> x=0 or 1
C. 3x^2 + 2x + 1 = 3x^2 + 2x + 3 --> 1=3(X) --> they don’t have any intersect.
D. 3x^2 + 2x + 1 = 4x^2 + 2x - 3 --> x^2 –4=0 --> x= 2 or -2
... | C |
mathematics | Kramer can pack 10 boxes of cigarettes per minute. If there are 5 boxes of cigarettes in one case, how many cases can Kramer pack in 2 hours? | [
"100",
"120",
"240",
"150",
"200"
] | Kramer can pack 10 boxes per min.
Therefore in 2 hrs(120mins)he can pack 120*10= 1200 boxes.
If there are 5 boxes in one case then then the total number of cases packed by Kramer = 1200/5 = 240
Answer is C
The answer is: C | C |
mathematics | Find the median of the data 25, 37, 47, 18, 19, 26, 36. | [
"22",
"23",
"24",
"25",
"26"
] | Arranging the data in ascending order, we get 18, 19, 25, 26, 36, 37, 47
Here, the number of observations is odd, i.e., 7.
Therefore, median = (n + 1/2)th observation.
= (7 + 1/2)th observation.
= (8/2)th observation
= 4th observation.
4th observation is 26.
Therefore, median of the data is 26. ANSWER :E
The answer is:... | E |
mathematics | Walking at 5/6 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is | [
"36",
"42",
"48",
"54",
"60"
] | Let V be her normal speed and let T be her normal time.
D = (5/6)V * (T+12)
Since the distance is the same we can equate this to a regular day which is D = V*T
V*T = (5/6)V * (T+12)
T/6 = 10
T=60
The answer is E.
The answer is: E | E |
mathematics | A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train. | [
"150",
"278",
"179",
"200",
"191"
] | :
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter
Answer:D
The answer is: D | D |
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