subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers E was deleted? | [
"a",
"b",
"c",
"d",
"e"
] | a+b+c+d+e => 1+2+3+4+5=15
20%*15= 3 =>C
The answer is: C | C |
mathematics | If 36 men can do a piece of work in 25 hours, in how many hours will 13 men
do it ? | [
"65 hours",
"69 hours",
"30 hours",
"62 hours",
"66 hours"
] | Let the required number of hours be x. Then,
Less men, More hours (Indirect Proportion)
13 : 36 : : 25 : x (13 x x) = (36 x 25) (36 x 25)/13= 69
Hence, 15 men can do it in 60 hours.
Answer is B.
The answer is: B | B |
mathematics | A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what
time can the son do it alone ? | [
"712days",
"612days",
"512days",
"412days",
"None of these"
] | Explanation:
In this type of question, where we have one person work and together work done. Then we can easily
get the other person work just by subtracting them. As
Son's one day work =
(13−15)=(5−315)=215
So son will do whole work in 15/2 days
which is =
712days
Answer: A
The answer is: A | A |
mathematics | Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions? | [
"10 sec",
"16 sec",
"13 sec",
"67 sec",
"13 sec"
] | RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 40 = 100 * 5/18
T = 2500/9 * 18/500 = 10 sec
Answer: A
The answer is: A | A |
mathematics | 60% of a number is added to 120, the result is the same number. Find the number? | [
"300",
"200",
"400",
"500",
"600"
] | (60/100) * X + 120 = X
2X = 600
X = 300
ANSWER:A
The answer is: A | A |
mathematics | The jogging track in a sports complex is 900 m in circumference. Sunil and Sachin start from the same point and walk in opposite directions at 5.4 km/hr and 3.6km/hr respectively. They will meet for the first time in? | [
"2.98 min",
"5.7 min",
"6.0 min",
"6.3 min",
"7.2 min"
] | Clearly, the two will meet when they are 900m apart.
To be (5.4+ 3.6) = 9.0 km apart, they take 1 hour.
To be 900 m apart, they take
= (900/9000 * 60) min
= 6.00 min.
Answer: C
The answer is: C | C |
mathematics | The units digit of (10)^(87) + (5)^(46) is: | [
"2",
"4",
"6",
"8",
"0"
] | any power of anything ending in 5 always has a units digit of 5. So the first term has a units digit of 5. Done.
The second term anything power to 10 unit digit will be zero
then 5 + 0 = 5,
E
The answer is: E | E |
mathematics | Out of first 28 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -. | [
"1/2",
"16/19",
"4/5",
"22/28",
"3/5"
] | n(S) = 28
n(Even no) = 14 = n(E)
n(Prime no) = 9 = n(P)
P(EᴜP) = 14/28 + 9/28 - 1/28 = 22/28
ANSWER:D
The answer is: D | D |
mathematics | In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: | [
"2700",
"2900",
"3000",
"3100",
"3300"
] | Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
=45/100 x 6000 = 2700
ANSWER :A
The answer is: A | A |
mathematics | Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is: | [
"60",
"100",
"120",
"180",
"200"
] | Work done by the waste pipe in 1 min = 1/15-(1/20+1/24)
=-1/40
volume of whole = (3*40)=120 gallons
ANSWER C
The answer is: C | C |
mathematics | A man buys 12 lts of liquid which contains 10% of the liquid and the rest is water. He then mixes it with 10 lts of another mixture with 30% of liquid. What is the % of water in the new mixture? | [
"80.91",
"76.45",
"77.45",
"74.45",
"73.45"
] | 10% in 12 lts is 1.2. So water = 12-1.2 = 10.8 lts. 30% of 10 lts = 3. So water in 2nd mixture = 10-3 = 7 lts. Now total quantity = 12 + 10 = 22 lts. Total water in it will be 10.8 + 7 = 17.8 lts. % of water = (100*17.8)/22 = 80.91. Answer:A
The answer is: A | A |
mathematics | The side of a square is increased by 25% then how much % does its area increases? | [
"52.65",
"56.25",
"50.75",
"42.75",
"52.75"
] | a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
ANSWER:B
The answer is: B | B |
mathematics | In an examination 35% of the students passed and 520 failed. How many students appeared for the examination? | [
"A)540",
"B)400",
"C)800",
"D)650",
"E)840"
] | Let the number of students appeared be x
then, 65% of x = 520
65x/100 = 520
x = 520*100/65 = 800
Answer is C
The answer is: C | C |
mathematics | 10^25 - 260 is divisible by all of the following except: | [
"A.10",
"B.8",
"C.5",
"D.4",
"E.2"
] | The last three digits ( 1000 - 260 ) 740
740 is divisible by 10,4,2,5
740 is not evenly divisible by 8 so the answer is B) 8
The answer is: B | B |
mathematics | A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 21 days, A finished the remaining work. In how many days A alone can finish the job? | [
"10",
"25",
"60",
"30",
"28"
] | A+B 10days work = 10*1/40 = 1/4
Remaining work = 1-1/4 = 3/4
3/4 work is done by A in 21 days
whole work will be done by A in 21*4/3 = 28 days
Answer is E
The answer is: E | E |
mathematics | The food in a camp lasts for 25 men for 40 days. If ten more men join, how many days will the food last? | [
"40 days",
"29 days",
"60 days",
"50 days",
"45 days"
] | one man can consume the same food in 25*40 = 1000 days.
10 more men join, the total number of men = 35
The number of days the food will last = 1000/35 = 29 days.
ANSWER:B
The answer is: B | B |
mathematics | The value of a machine depreiates at the rate of 10% per annum. If its present is Rs.1,62,000 what will be its worth after 2 years ? What was the value of the machine 2 years ago ? | [
"Rs.200000",
"Rs.100000",
"Rs.500000",
"Rs.300000",
"Rs.800000"
] | Value of the machine after 2 years
=Rs.[162000*(1-(10/100))^2] = Rs.[162000*(9/10)*(9/10)]
=Rs. 131220
Value of the machine 2 years ago
= Rs.[162000/(1-(10/100)^2)]=Rs.[162000*(10/9)*(10/9)]=Rs.200000
Answer is A.
The answer is: A | A |
mathematics | Calculate the average mark scored by Andrea if he had the following scores in an examination: 66, 60, 72, 77, 55 and 85 marks (out of 100) in English, Mathematics, Chemistry, Biology, French Language and Physics respectively? | [
"74",
"76",
"70",
"67",
"69.2"
] | Explanation:
Average mark = 66+60+72+77+55+85/6=69.2
Answer: Option E
The answer is: E | E |
mathematics | There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is | [
"12",
"15",
"16",
"13",
"18"
] | Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
The answer is: D | D |
mathematics | There are between 120 and 130 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? | [
"121",
"123",
"125",
"127",
"129"
] | The numbers with the form 4n+1 are 121, 125, and 129.
Only 125 has the form 3k+2.
The answer is C.
The answer is: C | C |
mathematics | The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream? | [
"40, 68 kmph",
"40, 30 kmph",
"90, 60 kmph",
"40, 60 kmph",
"90, 30 kmph"
] | Speed downstream = 60 + 30 = 90 kmph
Speed upstream = 60 - 30 = 30 kmph
Answer: E
The answer is: E | E |
mathematics | A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? | [
"180%",
"189%",
"100%",
"109%",
"120%"
] | MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
Answer: C
The answer is: C | C |
mathematics | The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy? | [
"39 kg",
"36 kg",
"32 kg",
"31 kg",
"96 kg"
] | Let the weights of the three boys be 4k, 5k and 6k respectively.
4k + 6k = 5k + 45
=> 5k = 45 => k = 9
Therefore the weight of the lightest boy
= 4k = 4(9) = 36 kg.
Answer:B
The answer is: B | B |
mathematics | A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? | [
"250",
"277",
"299",
"266",
"292"
] | CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250.Answer: A
The answer is: A | A |
mathematics | The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is | [
"31 years",
"40 years",
"50 years",
"55 years",
"None"
] | Solution
Sum of the present ages of husband, wife and child = (24x3+3x3) years
= 81 years.
Sum of the present ages of wife and child = (20x2+5x2) years
= 50 years.
∴ Husband's present age = (81 - 50) years
= 31 years.
Answer A
The answer is: A | A |
mathematics | How many total number of ways in which n distinct objects can be put into two different boxes is | [
"n2",
"2n",
"2n",
"3n",
"None of these"
] | Let the two boxes be B1 and B2. There are two choices for each of the n objects. So, the total number of ways is
2 × 2 ×.....× 2 (n times ) = 2n
Answer B
The answer is: B | B |
mathematics | A train running at the speed of 142 km/hr crosses a pole in 12 seconds. Find the length of the train. | [
"540",
"288",
"200",
"340",
"712"
] | Speed = 162*(5/18) m/sec = 45m/sec
Length of Train (Distance) = Speed * Time
45 * 12 = 540 meter
Answer: A
The answer is: A | A |
mathematics | Roger can read a book in k minutes. What part of the book can he read in 4 minutes? (k>8) | [
"8+k",
"8/k",
"k/8",
"(k+ 8)/k",
"(k-8) / k"
] | Let's sayk = 24
That is, it takes 24 minutes to read the entire book.
So, in 8 minutes, Roger can read1/3of the book
So, we're looking for the answer choice that yields an OUTPUT of1/3whenk = 24
A) 8+24=32ELIMINATE
B) 8/24=1/3KEEP
C)24/8 =3ELIMINATE
D) (24+ 8)/24=32/24 = 4/3ELIMINATE
E) (24-8) /24=16/24 = 2/3ELIMINATE
... | A |
mathematics | By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? | [
"5",
"6",
"8",
"9",
"1"
] | Marked price = Rs. 300
C.P. = 100/120 * 300 = Rs. 250
Sale price = 90% of Rs. 300 = Rs. 270
Required gain % = 20/250 * 100 = 8%.
Answer:C
The answer is: C | C |
mathematics | A sum of Rs.66000 is divided into three parts such that the simple interests accrued on them for six, two and eleven years respectively may be equal. Find the amount deposited for 11 years. | [
"6500",
"2000",
"4500",
"3000",
"6000"
] | Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 2 years 6 years and 11 years i.e. 2x = 6y = 11z = k.
L.C.M. of 2,6,11 = 66 So x:y:z: = 33000 : 11000 :6000
The amount deposited for 11 years = 6000
ANSWER:E
The answer is: E | E |
mathematics | Your town has a population of 1260. Every three people have a car. How many cars are in your town? | [
"400",
"410",
"420",
"430",
"450"
] | Every three person has a car, then the number of cars in the town could be calculated by the division of number of people over the person-to-car ratio.
the number of cars in the town=1260/(3/1)=1260/3=420 cars
So the correct choice is C
The answer is: C | C |
mathematics | A can finish a piece of work in 5 days. B can do it in 10 days. They work together for 1 day and then A goes away. In how many days will B finish the work? | [
"8 days",
"5 days",
"6 days",
"7 days",
"9 days"
] | 1/5 + (1 + x)/10 = 1 => x = 7 days
Answer: D
The answer is: D | D |
mathematics | Rs.280 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? | [
"210",
"266",
"120",
"299",
"267"
] | 4x 5x 6x
100 50 25
400x + 250x + 150x = 28000
x = 35
6x = 210
Answer: A
The answer is: A | A |
mathematics | The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/2 of the area of the field. What is the length of the field? | [
"13",
"16",
"34",
"43",
"42"
] | Explanation:
A/2 = 8 * 8 => A = 8 * 8 * 2
x * 2x = 8 * 8 * 2
x = 8 => 2x = 16
Answer: Option B
The answer is: B | B |
mathematics | The speed of a train is 120 kmph. What is the distance covered by it in 8 minutes? | [
"15 kmph",
"11 kmph",
"16 kmph",
"18 kmph",
"12 kmph"
] | 120 * 8/60
= 16 kmph
Answer:C
The answer is: C | C |
mathematics | Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 6, while all other numbers remain the same, what is the new average of Set S? | [
"6.6",
"6.7",
"6.8",
"6.85",
"6.9"
] | Old set S - Total is avg * no of elements = 6.2*10 = 62
If one number is increased by 6 then total increased to 62+6=68
New avg - 68/10 = 6.8.
Hence answer is C.
The answer is: C | C |
mathematics | Calculate the L.C.M of 1/5, 6/ 7, 5/6, 3/5 is : | [
"15",
"30",
"20",
"40",
"10"
] | Required L.C.M =L.C.M. of 1, 6, 5, 3/H.C.F. of 5, 7, 6, 5 =30/1=30
Answer is B
The answer is: B | B |
mathematics | Ritesh and Co. generated revenue of Rs. 1,800 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007? | [
"17.36%",
"20%",
"25%",
"50%",
"None of these"
] | Explanation :
Given, Ritesh and Co. generated revenue of Rs. 1,800 in 2006 and that this was 12.5% of the gross revenue.
Hence, if 1800 is 12.5% of the revenue, then 100% (gross revenue) is:
=>(100/12.5)×1800.
=>14,400.
Hence, the total revenue by end of 2007 is Rs. 14,400. In 2006, revenue grew by Rs. 2500. This is a ... | A |
mathematics | The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 1 year? | [
"3277",
"2977",
"30000",
"6077",
"17112"
] | Explanation: 40,000*(3/4)^1
Answer:C
The answer is: C | C |
mathematics | If a and d are both integers, a>d, and -3c>19, then the largest value of d would be? | [
"-5",
"-6",
"-7",
"-8",
"-10"
] | No, your thinking is incorrect. When we know that a>d and a<-6.33, the largest value of a can be -7 while if a=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these value... | D |
mathematics | For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+2 and 6*+6, inclusive ? | [
"1",
"None of the above",
"2",
"3",
"4"
] | Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6* + 2 = 6! + 2 and 6* + 6 = 6! + 6.
Now, notice that we can factor out 2 our of 6! + 2 so it cannot be a prime number, we can factor out 3 our of 6! + 3 so it cannot be a prime number, we can factor out 4 our of 6! + 4 so it cannot be a p... | B |
mathematics | A larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 8 smaller cubes and the surface area of the larger cube, in square inch? | [
"24",
"64",
"81",
"108",
"120"
] | Volume of larger cube = 8 = 2^3
Side of larger cube = 2
Volume of smaller cube = 1 --> Side of smaller cube = 1
Surface area of larger cube = 6 * 2^2 = 24
Surface area of 27 smaller cubes = 8 * 6 * 1 = 48
Difference = 48 - 24 = 24
Answer: A
The answer is: A | A |
mathematics | Pipe B that can fill a tank in an hour and pipe A that can fill the tank in half an hour are opened simultaneously when the tank is empty. Pipe A is shut 15 minutes before the tank overflows. When will the tank overflow? | [
"32 mins",
"35 mins",
"40 mins",
"30 mins",
"36 mins"
] | The last 15 minutes only pipe B was open. Since it needs 1 hour to fill the tank, then in 15 minutes it fills 1/4th of the tank, thus 3/4 of the tank is filled with both pipes open.
The combined rate of two pipes is 1 + 2 = 3 tanks/hour, therefore to fill 3/4th of the tank they need (time) = (work)/(rate) = (3/4)/3 = 1... | D |
mathematics | John purchased a fridge and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit. | [
"139",
"160",
"200",
"220",
"250"
] | Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C
The answer is: C | C |
mathematics | CONVERT 2.0 hectares in ares | [
"130 ares.",
"160 ares.",
"180 ares.",
"200 ares.",
"250 ares."
] | 2.0 hectares in ares
1 hectare = 100 ares
Therefore, 2.0 hectares = 2.0 × 100 ares
= 200 ares.
ANSWER- D
The answer is: D | D |
mathematics | Manoj borrowed Rs.4200 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then wha... | [
"22877",
"5855",
"2778",
"6787",
"1771"
] | Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 4200.3.6/100 = Rs.824.85
27P = 75600 = 82485
P = (82485 + 75600)/27 = 3055 + 2800 = Rs.5855
Answer: B
The answer is: B | B |
mathematics | What is the angle between the two hands at 8.20 O'clock? | [
"150 degree",
"120 degree",
"130 degree",
"250 degree",
"320 degree"
] | angle=|11/2(min)-30(hrs)|
=|11/2(20)-30(8)|
=|110-240|
=130 deg
ANSWER:C
The answer is: C | C |
mathematics | The speed of a bus increases by 2 kmph after every one hour. If the distance travelled in the first one hour was 35 km, what was the total distance travelled in 12 hours? | [
"550",
"500",
"552",
"560",
"580"
] | Dist 1st hr = 35 km
speed of bus by 2 kmph 2nd hr = 37 km
3rd hr = 39 km
tot = 35+37+39+....(12 terms)
12/2(2*35+(12-1)2]
=6*92
= 552
ANSWER C
The answer is: C | C |
mathematics | Calculate the amount that an investor needs to be invest to earn $1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11% compounded semi-annually? | [
"8000",
"8100",
"8900",
"8600",
"8400"
] | the approach is substitution,
our interest requirement is $1005 after 12 months, 2 compounding period.
calculate the compound interest on each option and find out the one that yields 460 in 12 months
8900 yielded $1005
using the formula
A = P(1 + r/n)nt
hence answer is C
The answer is: C | C |
mathematics | If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? | [
"20:15:15",
"20:15:10",
"20:15:12",
"20:15:11",
"20:15:13"
] | 6A = 8B = 10 C
A:B:C = 1/6:1/8:1/10
= 20:15:12.Answer: C
The answer is: C | C |
mathematics | In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is : | [
"38",
"40",
"26",
"25",
"11"
] | Explanation:
Let the number of correct answers be x.
Then numbers of incorrect answers will be 75 – x
We get 4x – (75 – x)×1= 125
On solving the equation we get x= 40
Answer: B
The answer is: B | B |
mathematics | What is the area of square field whose side of length 15 m? | [
"225",
"2878",
"277",
"266",
"279"
] | 15 * 15
= 225 sq m
Answer: A
The answer is: A | A |
mathematics | How much 60% of 50 is greater than 40% of 30? | [
"18",
"13",
"15",
"20",
"25"
] | Explanation:
(60/100) * 50 – (40/100) * 30
30 - 12 = 18
Answer is A
The answer is: A | A |
mathematics | The profit obtained by selling an article for Rs. 57 is the same as the loss obtained by selling it for Rs. 43. What is the cost price of the article? | [
"Rs. 40",
"Rs. 50",
"Rs. 49",
"Rs. 59",
"None of these"
] | S.P 1- C.P = C.P – S.P 2
57 - C.P = C.P - 43
2 C.P = 57 + 43;
C.P = 100/2 = 50
ANSWER:B
The answer is: B | B |
mathematics | An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy? (1 Gallon = 8 Pints ) | [
"16",
"18",
"20",
"22",
"24"
] | 1 gallon = 8 pints
7.5 gallons = 60 pints
Buttermilk = 2 orange
orange = 3 brandy
buttermilk+orange+brandy = 60
2orange+orange+1/3 orange = 60
10 orange = 180
orange = 18 pints
ANSWER:B
The answer is: B | B |
mathematics | A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? | [
"50",
"100",
"65",
"500",
"980"
] | Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $637
x = 65 pairs were sold.
ANSWER:C
The answer is: C | C |
mathematics | David's Bank's saving amount is decreased 10% due to loan payment and current balance is Rs.90000. Find the actual balance before deduction? | [
"8000",
"8500",
"9000",
"9500",
"100000"
] | 10% decreased
90% Balance = 90000
100% = 90000/90*100 = 100000
Answer : E
The answer is: E | E |
mathematics | When E is divided by 9, the remainder is 4. All of the following are possible values of E, except for which of the following? | [
"13",
"31",
"49",
"57",
"67"
] | The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....
by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed E in the form of 9x+4
In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doe... | D |
mathematics | Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 3 hours? | [
"2.4.",
"3.6.",
"4.8.",
"5.5.",
"6.4"
] | W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate = work done/ time
2xR = 2/2.5
R = 1/2.5 = 2/5 (this is the rate of each carpenter)
Work done by 4 carpenters in 3 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 3 =4.8 desks
C is the correct answer.
The answer is: C | C |
mathematics | For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3).
If 3y = –30, then y = | [
"–15",
"–6",
"-3",
"6",
"15"
] | (3+2)(y-3)=-30..
x-3=-6..
x=-3
C
The answer is: C | C |
mathematics | What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%? | [
"85 %",
"26 %",
"10 %",
"20 %",
"15 %"
] | Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer:D
The answer is: D | D |
mathematics | If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n? | [
"15",
"45",
"75",
"125",
"150"
] | (2^5) x (12^2) x (7^3) x (10) has two appearances of 3 (in 12^2) and one appearance of 5 (in the 10).
Thus n must include at least 3 * 5 = 15
The answer is A.
The answer is: A | A |
mathematics | A photo-mat shop charges $0.55 for the first photo inside a film, and 20% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos? | [
"4 films and 12 photos",
"5 films and 6 photos",
"5 films and 14 photos",
"6 films and 4 photos",
"2 films and 28 photos"
] | 1st photo = 0.55
Subsequent = 0.55*0.6=0.33
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*4=48.4
52.58-48.4=4.18
4.18=0.55+0.33x
x=11
52.58--->2 full films and 1+11=28 photos
Answer: E
The answer is: E | E |
mathematics | If x and y are two-single digit integers such that x < 40 and y<7, which of the following is closest to the maximum possible value of xy ? | [
"700",
"2,800",
"4,000",
"7,000",
"63"
] | To get the maximum possible value of xy, we need maximize the value of both x and y
max x can be = 9 (given x is a two-digit integer < 40)
max y can be = 7 (given y is a two-digit integer < 7)
xy = 9*7 = 63
Answer (E)
The answer is: E | E |
mathematics | Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long W would it have taken for him to walk both ways. | [
"8 h 45 min",
"7 h 45 min",
"6 h 45 min",
"5 h 30 min",
"None of these"
] | 1.Walking to to a viewpoint+Driving back=6 hours 45 minutes
2.Driving to a viewpoint+Driving back=6 hours 45 minutes - 2 hours=4 hours 45 minutes, thereforeone way driving=4 hours 45 minutes/2 =2 hours 22.5 minutes.
3. From 1.one way driving=6 hours 45 minutes-2 hours 22.5 minutes=4 hours 22.5 minutes.
4.Walking to to ... | A |
mathematics | For a bake sale, Simon baked 2n more pies than Theresa. Theresa baked half as many pies as Roger, who baked 1313n pies. No other pies were baked for the sale. What fraction of the total pies for sale did Roger bake? | [
"1/16",
"1/8",
"3/16",
"3/8",
"13/16"
] | S : Simon
T : Theresa
R : Roger
Let Theresa baked A.
As per question, we have S = A + 2n
R = 2A = n/3 or A = n/6
Now, Total = A + (A+2n) + 2A = 8n/3
Fraction, (n/3) / (8n/3) = 1/8
ANSWER:B
The answer is: B | B |
mathematics | Of the 5 numbers, whose average is 100, the first is one-fourth of the sum of the last 4. The first number is? | [
"83.3",
"80",
"78.63",
"56.98",
"67.85"
] | Let the first number be x
sum of the 5 numbers = x+5x = 6x
6x/5 = 100
x = 100*5/6 = 83.3
Answer is A
The answer is: A | A |
mathematics | (A% of 4B + B% of A) is equal to ? | [
"A% of B",
"B% of A",
"5% of AB",
"AB% of 3",
"None"
] | Answer
A% of 4B + B% of A =4AB/100 + AB/100
= 5AB/100 = 5% of AB
Correct Option: C
The answer is: C | C |
mathematics | The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? | [
"1000",
"1500",
"2000",
"3000",
"4000"
] | Let monthly income of A = a
monthly income of B = b
monthly income of C = c
a + b = 2 × 5050 .... (Equation 1)
b + c = 2 × 6250 .... (Equation 2)
a + c = 2 × 5200 .... (Equation 3)
(Equation 1) + (Equation 3) - (Equation 2)
=> a + b + a + c - (b + c) = (2 × 5050) + (2 × 5200) - (2 × 6250)
=> 2a = 2(5050 + 5200 - 6250)
... | E |
mathematics | What is the difference between the largest number and the least number written with the digits 6, 3, 2, 5? | [
"6084",
"4176",
"2077",
"2721",
"1812"
] | Explanation:
2356
6532
------------
4176
Answer:B
The answer is: B | B |
mathematics | During a certain two-week period, 80 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms o... | [
"5 A",
"15 A",
"20 A",
"1/25 A",
"30 A"
] | Movies: 80 % comedies. 20 % remaining genre.
Now in this 20 %, there are only 2 categories. Action movies and Drama Movies.
If Action = x; Drama movies = 4x. Total 5x.
5x = 20; x = 4
Action movies: 4 %
Drama movies: 16 %
we can say that out of 100z,:
comedies: 80z
action: 4z
drama: 16 z
Now action movies wereA
This mea... | C |
mathematics | Find the number of ways in which 8 different beads can be arranged to form a necklace. | [
"30",
"20",
"2520",
"60",
"80"
] | Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,8 beads can be arranged to form a necklace in(8-1)! /2ways
= 7*6*5*4*3*2/2 = 2520 ways
Answer is C
The answer is: C | C |
mathematics | In August,a cricket team that played 120 matches won 22% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average? | [
"40",
"52",
"68",
"75",
"98"
] | let the no of matches played more=x
so,
(120+x)*52/100=26.4+x
by solving we get x=75
ANSWER:D
The answer is: D | D |
mathematics | A and B are two partially filled buckets of water. If 6 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 6 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water? | [
"66/5",
"13",
"17",
"21",
"23"
] | Let Bucket A be A and Bucket B be B
Scenario 1
A-6 = 1/3 (B+6) ----> 3A-18 =B+6
Scenario 2
B-6 = 1/2 (A+6) -----> 2B-12 = A+6
From Scenario 1, B = 3A-24
Substitute B with this information in Stmt 2
2 (3A-24) -12 = A+6 ------> 6A -48-12 = A+6 ------> 6A- A = 60+6 ---> 5A= 66
A= 66/5, Answer choice A
The answer is: A | A |
mathematics | Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 16 hours respectively. The ratio of their speeds is | [
"4:1",
"4:2",
"4:5",
"4:3",
"4:7"
] | Ratio of their speeds = Speed of first train : Speed of second train
= √16−−√49
= 4:7
Answer is E.
The answer is: E | E |
mathematics | If n is an even integer, then which of the following must be an odd integer? | [
"2n",
"3n",
"3n + n^2 + 2",
"n^2 + 1",
"2n + n^2"
] | Answer: D
A: 2n = even
B: 3n = even
C: 3n + n^2 + 2 = even
D: n^2 + 1 = odd
E: 2n + n^2 = even
Answer: D
The answer is: D | D |
mathematics | A certain team has 16 members, including Joey. A three-member relay team will be selected as follows: one of the 16 members is to be chosen at random to run first, one of the remaining 15 members is to be chosen at random to run second, and one of the remaining 14 members is to be chosen at random to run third. What is... | [
"1/4",
"2/5",
"1/6",
"2/7",
"1/8"
] | Each member has an equal probability to run second (1/16) or third (1/16).
The probability that Joey runs second or third is 1/16 + 1/16 = 1/8
The answer is E.
The answer is: E | E |
mathematics | January 1, 2007 was Monday. What day of the week lies on Jan. 3, 2008? | [
"Monday",
"Thursday",
"Wednesday",
"Friday",
"Sunday"
] | The year 2007 is an ordinary year. So, it has 1 odd day.
day of the year 2007 was Monday
day of the year 2008 will be 3 days beyond Monday
Hence, It will be Thursday. answer : B
The answer is: B | B |
mathematics | 4 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is? | [
"18:19",
"17:19",
"15:19",
"18:14",
"18:11"
] | 4M + 12B ----- 4 days
7M + 6B ------- 5 days
16M + 48B = 35M + 30B
18B = 19M => 5M = 6B
M: B = 18:19
ANSWER:A
The answer is: A | A |
mathematics | One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing? | [
"East",
"West",
"South",
"North",
"2891"
] | Explanation:
Sun rises in the east in the morning. Since the shadow of Suresh falls to his right. So he is facing South.
Answer: C) South
The answer is: C | C |
mathematics | Solve 7y – 5 = 3y + 11 | [
"4",
"6(1/3)",
"7(1/3)",
"3",
"9(1/3)"
] | Sol.
7y – 5 = 3y + 11
=> 7y – 3y = 11 + 5
=> 4y = 16 => x = 4
Answer A
The answer is: A | A |
mathematics | Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000? | [
"81000",
"29899",
"26798",
"27799",
"27781"
] | 64000* 9/8 * 9/8 = 81000.Answer: A
The answer is: A | A |
mathematics | What will be the cost of building a fence around a square plot with area equal to 25 sq ft, if the price per foot of building the fence is Rs. 58? | [
"1160",
"1251",
"1102",
"1352",
"1450"
] | Let the side of the square plot be a ft.
a2 = 25 => a = 5
Length of the fence = Perimeter of the plot = 4a = 20 ft.
Cost of building the fence = 20 * 58 = Rs. 1160.
Answer: A
The answer is: A | A |
mathematics | Fesdus goes out cycling outdoors. He travels at an average speed of 3km/h, to the top of the hill where the midpoint of the trip is. Going down hill, Juan travels at an average speed of 9km/h. Which of the following is the closest approximation of Fesdus's average speed, in kilometers per hour, for the round trip? | [
"4.2",
"4.5",
"7.6",
"3.6",
"2.2"
] | Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 3 km/hour and 9 km/hour, using a multiple of both 3 and 9 would make the math easiest.
Let's set the Distance up the hill at 36 km.
So, going uphill, we have....
D = (R)(T)
36 = (3)(T)
36/3 = 13 = T
13 hours... | A |
mathematics | Find the average of first 4 multiples of 5? | [
"10",
"12.5",
"22.5",
"31.3",
"40.8"
] | average = (5+10+15+20)/4 = 12.5
Answer is B
The answer is: B | B |
mathematics | A and B can complete a job in 30 and 20 days respectively. They start working together and B leaves 5 days before the work is finished. In how many days is the total work finished? | [
"15",
"6",
"5",
"4",
"3"
] | A and B can do the job in 30 and 20 days individually, so together they will take 30*20/(30 + 20) = 600/50 = 12 days.
The work that A can do in 5 days is 1/6th. So, A left when 5/6th of the work was done or A left after (5/6)*12 = 10 days
Total time taken = 10 + 5 = 15 days.
ANSWER:A
The answer is: A | A |
mathematics | Ravi and Kavi start a business by investing ₹ 4000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year. | [
"2 : 28",
"5 : 28",
"7 : 18",
"1 : 18",
"3 : 18"
] | Ratio of profit = Ratio of investments
= 4000 : 72000 = 1 : 18
Answer : D
The answer is: D | D |
mathematics | My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born? | [
"32 yrs, 23 yrs",
"32 yrs, 29 yrs",
"35 yrs, 29 yrs",
"35 yrs, 33 yrs",
"none"
] | Sol.
Clearly, my brother was born 3 years before I was born and 4 years after my sister was born.
So, father's age when brother was born = (28 + 4) = 32 years.
mother's age when was born = (26 - 3) years = 23 years.
Answer A
The answer is: A | A |
mathematics | The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange ligh... | [
"0:03 AM",
"0:04 AM",
"0:06 AM",
"0:12 AM",
"0:24 AM"
] | Time taken by each light to on
Red = 20 secs
Blue = 30 secs
Green = 45 secs
Orange = 60 secs
Yellow = 80 secs
We need to take LCM to find the time all five colored lights will flash together.
LCM = 720 secs
=12 mins
=0.12 AM
Ans = D
The answer is: D | D |
mathematics | Which of the following inequalities is always true for any real number 'a' and 'b'? | [
"|a+b| >= |(|a|-|b|)|",
"|a-b| <= |(|a|-|b|)|",
"|a-b| = |(|a|-|b|)|",
"|a-b| >= |(|a|-|b|)|",
"|a-b| <= |a|-|b|"
] | The answer here is D. One of the fundamental properties of absolute value is subadditivity, and this is a reverse triangle inequality, which is equivalent to subadditivity. So this means that difference of two any elements is something (some number) which is greater than or equal to the difference of the each element t... | D |
mathematics | If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is | [
"4/17",
"4/16",
"4/15",
"4/13",
"4/12"
] | P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.
P(SᴜK) = 13/52 + 4/52 - 1/52
= 4/13
Answer:D
The answer is: D | D |
mathematics | Balloons are bought at 8 for Rs.10/- and sold at 10 for Rs.8/-. Find the gain or loss percentage? | [
"36% Loss",
"36% Gain",
"18% Loss",
"18% Gain",
"19% Loss"
] | Explanation:
8 Balloons -----> Rs.10/-
10 Balloons ----> Rs.8/-
Note: In every time same in the cost price articles and selling price articles.
10(8 10) ==> 80 100 = Cost price
8(10 8) ==> 80 64 = Selling price
Then, 36/100 × 100 = 36 % Loss
Answer: Option A
The answer is: A | A |
mathematics | The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? | [
"3%",
"4%",
"5%",
"6%",
"7%"
] | 65*(90/100)*((100-x)/100) = 56.16
x = 4%
ANSWER:B
The answer is: B | B |
mathematics | At a conference table, 5 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these five employees? | [
"5",
"10",
"24",
"32",
"120"
] | Head's sit is fixed. Now 4 people is left with 4 seats.
4 people can sit on 4 seats in 4! ways or 24 ways.
Ans is C
The answer is: C | C |
mathematics | The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ? | [
"140 km/hr",
"130 km/hr",
"110 km/hr",
"120 km/hr",
"None of these"
] | Explanation:
Let the speeds of two trains be 7X and 9X km/hr.
9/X=540/3=>X=20Km/hr
So speed of first train is 20*7 = 140 km/hr
Option A
The answer is: A | A |
mathematics | What percent is 36 paisa's of 12 rupees? | [
"2 %",
"3 %",
"4 %",
"5 %",
"6 %"
] | 12 Rupees = 1200 paisa's
36/1200 × 100 = 3/12
12/3 = 3 %
B
The answer is: B | B |
mathematics | A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right? | [
"7/108",
"5/54",
"1/9",
"2/17",
"1/4"
] | The least sum of the numbers of the two dice in the right hand is 2. The maximum sum of the numbers on these two dice can be 5, for the left hand dice to be able to have a greater number.
Therefore the number on the dice in the left hand must be 3 or more.
Number of ways to get a sum of 2 with the two dice in the right... | B |
mathematics | What is the average of four tenths and two thousandths | [
"0.2022",
"0.3325",
"0.201",
"0.2012",
"0.2114"
] | Explanation:
Four tenths = 0.4
two thousandths = 0.002
The average is (0.4 + 0.002)/2 = 0.201
Answer: C
The answer is: C | C |
mathematics | f, b, c, and d are positive integers. If the remainder is 9 when f is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d? | [
"20",
"19",
"18",
"16",
"15"
] | When f is divided by b remainder is 9 that means b is greater than or equals to 10, similarly d is greater than or equals to 6.
b + d cannot be 15, hence E is the answer.
The answer is: E | E |
mathematics | 10 machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days? | [
"2",
"3",
"4",
"5",
"8"
] | Another solution which is faster is Since each machine works at a constant rate. The time needs to bought down from 12 to 8. So the new time is 2/3 of the original time. Thus to achieve this we need the rate to be 3/2 of original.
So 3/2* 10 = 15
So we need 15-10 = 5 more machines.
Answer : D
The answer is: D | D |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.