subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | 5/25= 10/50. which method did you use to determine whether this proportion is true or false? | [
"true",
"neutral",
"false",
"not sure",
"none"
] | 5/25= 10/50. cross multiplication: 5 * 50= 250, 10 *25 = 250,
we see that 250 are not equal to 250 so there is proportion. corrcet answer: (A)
The answer is: A | A |
mathematics | The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? | [
"38 cm2",
"55 cm2",
"65 cm2",
"45 cm2",
"35 cm2"
] | Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 44/2 = 55 cm2
Answer:B
The answer is: B | B |
mathematics | A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally w% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar? | [
"100w/(1-w)",
"80w/(1-w)",
"75w/(1-w)",
"100w/(80-0.2w)",
"100w/(80+0.2w)"
] | We'll go for the ALTERNATIVE approach since there are variables in all the answers (which means that any number could work). Since the question deals with percents, the easiest number to use is X = 100. Now let's say that w = 10. Before the evaporation we had 10 pound of sugar and 90 pounds of water. Since only water e... | E |
mathematics | If ‘POOJA’ is coded as ‘SRRMD’, then ‘PRIYA’ is coded as | [
"THGFE",
"GVFED",
"FREDCV",
"SULBD",
"SUUNF"
] | P= 16 = 16+3 = 19 = S
O = 15 =15+3 =18 = R
SIMILARLY,
P = 16 = 16+3 = 19 = S
R = 18 = 18+3 = 21 = U
I = 9 = 9+3 = 12 = L
Y = 25 = 25 +3 = 28 = B
A = 1 = 1+3 = 4 = D
SO ANS IS
SULBD
The answer is: D | D |
mathematics | A software programmer does 30% of the work in 80% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of... | [
"13x /15",
"15x/15",
"7x/15",
"2x/30",
"13x/30"
] | Take X=30 lines
80% of 30 = 24 lines
20% of 30 = 6 lines
W - R - T
6 lines - r1 - 24 (first 80% of the 30 days)
24 lines - r2 - 6 ( last 20% of the 20 days)
r1 = 1/4r2 = 4
Now Work in last 14 days = 6 days programmer worked at r2 + 8days programmer worked at r1
=> 6 * 4 + 8 * 1/4 = 24 + 2 = 26
Insert, X=30 in all optio... | C |
mathematics | What are the last two digits of 5in2007th ? | [
"75",
"65",
"55",
"25",
"05"
] | Just keep track of the last two digits of the consecutive powers of 5 and note
that 5-2round- = 25 and 5 × 25 = 125.
correct answer D
The answer is: D | D |
mathematics | Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan? | [
"288",
"266",
"129",
"300",
"276"
] | Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300 = 11
=> x
= 300 km
Answer:D
The answer is: D | D |
mathematics | How many numbers from 2 to 11 are exactly divisible by 2? | [
"A)2",
"B)3",
"C)5",
"D)7",
"E)8"
] | 2/2 = 1 and11/2 = 5
5 - 1 = 4
4 + 1 = 5 Numbers.
Answer : C
The answer is: C | C |
mathematics | The product of all the prime numbers less than 28 is closest to which of the following powers of 10? | [
"a) 10^9",
"b) 10^8",
"c) 10^7",
"d) 10^6",
"e) 10^8*2.23"
] | Group these numbers so as to get product close to a multiple of 10, so they can be rewritten as (2*5)(3*7)(11*19)(13*17)*23 or 10*21*209*221*23
Now take out power of 10 from each number and rewrite
10*10*100*100*10(1*2.1*2.09*2.21*2.3) or 10^7*(1*2.1*2.09*2.21*2.3)=2.23*10^8
E
The answer is: E | E |
mathematics | Every second Saturday and all Sundays are holidays. How many working days will be there in a
month of 30 days beginning on a Saturday? | [
"24",
"23",
"18",
"21",
"22"
] | Explanation :
Mentioned month has begins on a Saturday and has 30 days
Sundays = 2nd, 9th, 16th, 23rd, 30th
=> Total Sundays = 5
Second Saturdays = 8th and 22nd
Total Second Saturdays = 2
Total Holidays = Total Sundays + Total Second Saturdays = 5 + 2 = 7
Total days in the month = 30
Total working days = 30 - 7 = 23
An... | B |
mathematics | The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is? | [
"36.7",
"36.1",
"36.5",
"36.9",
"36.3"
] | Correct sum
= (36 * 50 + 48 - 23)
= 1825.
Correct mean = 1825/50
= 36.5
Answer:C
The answer is: C | C |
mathematics | If a 5 percent deposit that has been paid toward the purchase of a certain product is $70, how much more remains to be paid? | [
"$1120",
"$1190",
"$1260",
"$1330",
"$1400"
] | 95% remains to be paid so the remaining amount is 19*70=$1330.
The answer is D.
The answer is: D | D |
mathematics | In a group of cows and chickens, the number of legs was 18 more than twice the number of heads. The number of cows was: | [
"5",
"7",
"9",
"12",
"14"
] | Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 18 more than twice the number of heads.
Therefore, 2 × (x + y) + 18 = 4x + 2y.
or, 2x + 2y + 18 = 4x + 2y.
or, 2x + 18 = 4x [subtra... | C |
mathematics | A waiter's salary consists of his salary and tips. During one week his tips were 5/3 of his salary. What fraction of his income came from tips ? | [
"4/9",
"5/4",
"5/8",
"5/9",
"6/9"
] | Income = salary (s) +tips = s + s*5/3 = s*8/3
Tips = s*8/3
fraction of his income came from tips = (s*5/3)/(s*8/3)= 5/8
ANSWER:C
The answer is: C | C |
mathematics | Which of the following lines has x-intercept and y-intercept that are integers T? | [
"y=3x+1",
"y=√x+1",
"y=-2/x",
"y=x^2-1",
"xy=1"
] | Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers T and the correct answer is D.
The answer is: D | D |
mathematics | What is the least number which should be added to 2982 so that the sum is exactly divisible by 5, 6, 4, and 3? | [
"14",
"18",
"22",
"26",
"30"
] | L.C.M. of 5, 6, 4 and 3 = 60.
When dividing 2982 by 60, the remainder is 42.
The number to be added = 60 - 42 = 18.
The answer is B.
The answer is: B | B |
mathematics | A $74.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased? | [
"15%",
"20%",
"25%",
"60%",
"80%"
] | Listed selling price of chair = 74.95 $
Discounted selling price of chair = 59.95 $
Discount = 74.95 - 59.95 = 15 $
% decrease in price of chair = (15/74.95) * 100% = 20 % approx
Answer B
The answer is: B | B |
mathematics | A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? | [
"22277",
"26782",
"22882",
"15000",
"28761"
] | The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000
= Rs.15000
Answer: D
The answer is: D | D |
mathematics | A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times? | [
"5/8",
"3/4",
"7/8",
"57/64",
"15/16"
] | Total possible outcomes when coined is tossed 6 time=2^6=4*4*4=64
Total possible outcomes getting 2 or 3 or 4 or 5 tails= 6C2+6C3+6C4+6C5=(6*5)/2+(6*5*4)/(3*2)+(6*5)/2+6=15+20+15+6=56
Probability of getting at least 2 but not more than 5 times tails=56/64=7/8
Ans=C
The answer is: C | C |
mathematics | You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7.
What is the probability that you get a sum of 4 before the sum of 7? | [
"1/6",
"5/7",
"2/8",
"3/7",
"2/5"
] | E
2/5
Explanation:
This problem can be solved with different approaches. Let us not go into the complicated generic stuff to avoid confusion and try to solve it with simpler means.
Let us find the results separately. There can be 4 different results that give the sum of 5 and there can be 6 different results that give ... | E |
mathematics | A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train? | [
"96 kmph",
"94 kmph",
"92 kmph",
"86 kmph",
"76 kmph"
] | S = 160/6 * 18/5 = 96 kmph
ANSWER:A
The answer is: A | A |
mathematics | If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in? | [
"6",
"5",
"7",
"9",
"2"
] | C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days
Answer:D
The answer is: D | D |
mathematics | Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? | [
"A)1120",
"B)1065",
"C)1070",
"D)1075",
"E)1080"
] | Cost of 9 kg grapes = 70 × 9 = 630.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 630 + 490 = 1120
A
The answer is: A | A |
mathematics | A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum? | [
"8000",
"8925",
"8500",
"8700",
"8750"
] | P = (100*4016.25/9*5) ==>8925
ANSWER B
The answer is: B | B |
mathematics | Someone on a skateboard is traveling 10 miles per hour. How many feet does she travel in 20 seconds? (1 mile = 5280 feet) | [
"292 ft",
"293.4 ft",
"295 ft",
"296 ft",
"297 ft"
] | per second => 10*5280 ft/60*60 =14.67 ft
20 seconds => 14.67 * 20 = 293.4 ft
Answer : B
The answer is: B | B |
mathematics | A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. | [
"1909",
"1900",
"1908",
"1905",
"1901"
] | 65 * 6 : 84 * 5 : 100 * 3
26:28:20
C share = 74000 * 95/100 = 7030 * 20/74 => 1900
Answer: B
The answer is: B | B |
mathematics | A container contains 20 liters of milk, From this container 2 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container? | [
"14.58 liters",
"20.16 liters",
"22.45 liters",
"26.95 liters",
"31.45 liters"
] | Amount of milk left after 3 operations = 20 (1 - 2/20)^3 = 20 * 9/10 * 9/10 * 9/10 = 14.58 liters
Answer is A
The answer is: A | A |
mathematics | Ayesha's father was 31 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? | [
"2 years",
"4 years",
"6 years",
"8 years",
"1 years"
] | Explanation:
Mother's age when Ayesha's brother was born = 34 years.
Father's age when Ayesha's brother was born = (31 + 4) years = 35 years.
Required difference = (35 - 34) years = 1 years.
Answer: E
The answer is: E | E |
mathematics | Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are: | [
"39, 30",
"41, 32",
"42, 33",
"43, 34",
"41, 44"
] | C
Let their marks be (x + 9) and x.
Then, x + 9 = 56/100(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.
The answer is: C | C |
mathematics | 100 identical coins each with probability 'pp' showing up heads & tossed. | [
"13/101",
"11/101",
"51/101",
"53/102",
"54/101"
] | Let aa be the number of coins showing heads
Then, P(A=50)=P(A=51)P(A=50)=P(A=51)
⇒100C50×P50×(1−P)50⇒100C51×P51×(1−P)49⇒100C50×P51×(1−P)50=100C51×P⇒51(1âˆ′P)=50P⇒P=51/101
C
The answer is: C | C |
mathematics | If x2*square* – x – 2 > 0, which of the following is the
solution set for x? | [
"x > –1",
"x > 2",
"–1 < x < 2",
"x < –1 or x > 2",
"No solutions are possible"
] | Begin by treating the inequality x2 – x – 2 > 0 as if it were an equation. Factor to find the zeros:
x2 – x – 2 = 0
(x + 1)(x – 2) = 0
x = –1 and x = 2
The graph of this function is a parabola that crosses the x-axis at –1 and 2. This graph is
concave up because the coefficient of the x2 term (that is, a) is positive. ... | D |
mathematics | A group of tourists wants to visit at least three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary. | [
"24",
"36",
"48",
"60",
"64"
] | The number of ways to choose three cities is 4C3=4.
The number of itineraries for each group of 3 cities is 3!.
So the number of itineraries to three cities is 4*3!=24.
The number of ways to choose four cities is 4C4=1.
The number of itineraries for the group of 4 cities is 4!.
So the number of itineraries to four citi... | C |
mathematics | The average age of applicants for a new job is 31, with a standard deviation of 8. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants? | [
"8",
"14",
"15",
"17",
"30"
] | within one standard deviation of the average age means 31 +/- 7
23--31--39
number of dif.ages -23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
total=17
D
The answer is: D | D |
mathematics | The difference between a number and its three fifth is 50. What is the number? | [
"75",
"100",
"125",
"175",
"187"
] | Sol.
Let the numbers be x.
Then, x-3/5x = 50
⇔2/5x = 50⇔ x = (50x5/2) = 125.
Answer C
The answer is: C | C |
mathematics | If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days? | [
"269",
"512",
"369",
"720",
"450"
] | 12 men 120 acres 16 days
36 men ? 32 days
120 * 36/12 * 32/16
120 * 3 * 2
120 * 6 = 720
Answer:D
The answer is: D | D |
mathematics | Mary charges $8.50 per hour to clean a house. If she works 27 hours, how much
does she earn in one week? | [
"$619.50",
"$122.50",
"$229.50",
"$429.50",
"$312.50"
] | Multiply 27 hours x $8.50 =
Answer: $229.50
correct answer C
The answer is: C | C |
mathematics | A city had 600 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 600 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012? | [
"2400",
"4800",
"6600",
"8200",
"16400"
] | The population will increase in the following order:
2000: 600
2003: 1200
2006: 2400
2009: 4800
2012: 9600
Difference between 2009 and 2012 = 4800
Option B
The answer is: B | B |
mathematics | Two pipes can fill a tank in 10 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ? | [
"5.5 Hours",
"7.5 Hours",
"8.5 Hours",
"9.5 Hours",
"6.5 Hours"
] | In 1 hour it fill 1/10 + 1/12 - 1/20 = 8/60
So fill tank fillup in 60/8 = 7.5 Hours
ANSWER:B
The answer is: B | B |
mathematics | A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is? | [
"19",
"10",
"17",
"18",
"12"
] | Let the cost price for the manufacturer be Rs. x. Then, 125% of 120% of 118% of x
= 30.09.
125/100 * 120/100 * 118/100 * x
= 3009/100
177/100 x = 3009/100 => x = 17
Answer:C
The answer is: C | C |
mathematics | In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony? | [
"1:4",
"3:5",
"3:9",
"3:7",
"1:3"
] | Number of men in the colony = 4/7 (70) = 40
Number of women in the colony = 3/7 (70) = 30
Number of educated women in the colony = 1/5 (30) = 6
Number of uneducated women in the colony = 4/5 (30) = 24
Number of educated persons in the colony = 8/35 (70) = 16
As 6 females are educated, remaining 10 educated persons must... | E |
mathematics | The average of 25 results is 50. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result? | [
"741",
"752",
"878",
"785",
"458"
] | Solution: Sum of 1st 12 results = 12*14
Sum of last 12 results = 12*17
13th result = x (let)
Now,
12*14+12*17+x = 25*50
Or, x = 878.
Answer: Option C
The answer is: C | C |
mathematics | A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is... | [
"9/25",
"10/25",
"6/10",
"2/3",
"21/25"
] | Simply look at the question from the other side. What is the probability that you can’t row the canoe? This would be 2/5 x 2/5 = 4/25.
Using the idea that the probability of something happening is 1 – the probability that it doesn’t happen, you can use the following equation to reach the right answer W: 1 – 4/25 = 21/2... | E |
mathematics | With what number must 6.2587 be multiplied in order to obtain the number 625.87? | [
"1000",
"1,0000",
"100",
"100,000",
"None of these"
] | Explanation: The decimal must be moved two places to the right. To do this, we must multiply by a number with two zeroes. The correct answer is 100.The decimal must be moved two places to the right. To do this, we must multiply by a number with two zeroes. The correct answer is 100.
Answer : (C)
The answer is: C | C |
mathematics | A 300 m long train crosses a platform in 51 sec while it crosses a signal pole in 18 sec. What is the length of the platform? | [
"287",
"350",
"828",
"277",
"550"
] | Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/5A = 50/3
3x + 900 = 2550 => x = 550 m.
Answer: E
The answer is: E | E |
mathematics | How many ways someone can make with 8 shirts and 6 pants? | [
"50",
"45",
"55",
"52",
"48"
] | If you can only wear one shirt and one pair of pants, then you can make 8*6 = 48 combinations.
Answer:E
The answer is: E | E |
mathematics | A multiple choice question has 5 options. Choosing the correct option earns the student 1 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expected score if he c... | [
"1/2",
"1/3",
"1/4",
"2/3",
"4/3"
] | for right ans 1 no is given and for wrong -.25
so 1(1)+4(-.25)=0
now
1(1)+2(-.25)=.5=1/2.
ANSWER:A
The answer is: A | A |
mathematics | Three candidates contested an election and received 1136, 7636 and 15628 votes respectively. What percentage of the total votes did the winning candidate got? | [
"55%",
"64%",
"57%",
"58%",
"59%"
] | Total number of votes polled = (1136 + 7636 + 15628) = 24400
So, Required percentage = 15628/24400 * 100 = 64%
ANSWER : B
The answer is: B | B |
mathematics | In a group of ducks and Cows, the total number of legs are 16 more than twice the no. of heads. Find the total no.of buffaloes. | [
"10",
"12",
"8",
"12",
"14"
] | Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 16
=> 2x = 16 => x = 8
C
The answer is: C | C |
mathematics | If you cut a 20ft piece of wood into two pieces making one piece 6ft longer than the other. What size is the smaller piece? | [
"4ft",
"7ft",
"8ft",
"10ft",
"12ft"
] | Total length is 20ft, one piece is 6ft longer (x+6), leaving the other piece to figure out (x).
(x)+ (x+4)=20
x+x+6-6=20-6
2x=14
2x/2=14/2
x=7
The piece is B) 7ft.
The answer is: B | B |
mathematics | Eight friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 8-person seating arrangements are possible? | [
"5040",
"15,120",
"30,240",
"35,280",
"40,320"
] | The number of ways to arrange 8 people in a row is 8!
From this we want to subtract all the arrangements where the two friends are next to each other. If we consider them as one unit, then the number of arrangements of this 2-person unit and the 6 other friends is 7! And the number of arrangements of the two friends wi... | C |
mathematics | It takes John 10 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? | [
"5:44",
"7:35",
"7",
"5",
"6"
] | The time it takes John to get to work: time to walk to car park + time to drive
25 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:35 a.m.
B
The answer is: B | B |
mathematics | A student,after his teacher's question, chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose? | [
"344",
"251",
"411",
"212",
"120"
] | Let x be the number he chose, then
2⋅x−138=102
2x=240
x=120
correct answer is E)120
The answer is: E | E |
mathematics | Which of the following fractions is greater than 3/5 and less than 6/7? | [
"7/8",
"1/3",
"2/3",
"1/3",
"6/7"
] | Explanation :
LCM of 5, 7, 2, 3, 3, 8 = 840
3/5 = 504/840
6/7 = 720/840
Hence, the question is to find out a number which is between the above numbers
The given choices are
1/2 = 420/840
2/3 = 560/840
1/3 = 280/840
7/8 = 735/840
Clearly, 560/840 = 2/3 . Answer : Option C
The answer is: C | C |
mathematics | Kim has 7 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color? | [
"1/13",
"1/15",
"11/9",
"1/10",
"1/25"
] | Can be tackled in this way as well: Probability of selecting any 1 out of 14 shoes = 14/14 = 1
Probability of selecting the next shoe (out of 14 available) having the same color = 1/14 (as after selecting the 1st one, there is only 1 another shoe left with the same color).
Thus the total probability = 1*1/13=1/13.
A is... | A |
mathematics | Two trains of length 100 m and 200 m are 90 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet? | [
"21/9 sec",
"32/3 sec",
"18/7 sec",
"32/3 sec",
"53/2 sec"
] | They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 90/35 = 18/7 sec.
Answer:C
The answer is: C | C |
mathematics | A Complany provides health insurance that pays 50.0% of the cost, with a $180.00 deductible. This means that the employees pays the first $180.00, after which the insurance company pays 150.0%. How much will an employee pay if his total medical bill is $1400.00? | [
"$790",
"$780",
"$770",
"$760",
"$750"
] | Amount employee pays = 180 + 50/100* (1400-180)
= 180 + 50/100*1220
= 180+610
= $790
ANSWER:A
The answer is: A | A |
mathematics | By selling 100 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage? | [
"26 1/3%",
"51 1/3%",
"33 %",
"53 1/3%",
"34 1/3%"
] | C
33 %
Let the CP of each pencil be Rs. 1.
CP of 100 pens = Rs. 100
Profit = Cost of 33 pencil = Rs. 33
Profit% = 33/100 * 100 = 33 %
The answer is: C | C |
mathematics | A and B invested Rs.4000 and Rs.5000 and they get 20% profit at the end of year. Then share of B is | [
"Rs.1200",
"Rs.1000",
"Rs.1300",
"Rs.1500",
"Rs.1800"
] | Total invest is 9000
20% gain of 9000 is 1800
A:B=4:5
B's share will be (5/9)*1800=1000
ANSWER:B
The answer is: B | B |
mathematics | What number has a 5:1 ratio to the number 10? | [
"36",
"50",
"76",
"56",
"62"
] | 5:1 = x: 10
x = 50
Answer: B
The answer is: B | B |
mathematics | A bike covers a certain distance at the speed of 16km/h in 2 hrs. If the bike was to cover the same distance in approximately 4 hrs, at what approximate speed should the bike travel? | [
"8 km/h",
"9 km/h",
"7 km/h",
"6 km/h",
"10 km/h"
] | Ans.(A)
Sol. Total distance = 16 × 2 = 32 km
Now speed = 32/4 = 8 km/h
The answer is: A | A |
mathematics | Present ages of X and Y are in the ratio 5:6 respectively. Ten years hence this ratio will become 6:7 respectively. What is X's present age in years? | [
"35",
"36",
"50",
"39",
"40"
] | Let the present ages of X and Y be 5x and 6x years respectively.
Then, (5x + 10)/(6x + 10) = 6/7
7(5x +10) = 6(6x +10) => 35x+70= 36x+60 => x=10
X's present age = 5x = 5*10 = 50
ANSWER:C
The answer is: C | C |
mathematics | A car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, what is the average speed of the entire trip? | [
"36 mph",
"40 mph",
"44 mph",
"52 mph",
"58 mph"
] | Explanations
1) In phase #1 of the trip, the car traveled 40 mi at 20 mph. That time of this phase was:
time = distance/rate = (40 mi)/(20 mph) = 2 hr
In phase #2 of the trip, the car traveled 180 mi at 60 mph. That time of this phase was:
time = distance/rate = (180 mi)/(60 mph) = 3 hr
The total distance of the trip =... | C |
mathematics | The tax on a commodity is diminished by 20% but its consumption is increased by 5%. Find the decrease percent in the revenue derived from it? | [
"12%",
"14%",
"16%",
"20%",
"22%"
] | Explanation:
100 * 100 = 10000
80 * 105 = 8400
10000------- 1600
100 ------- ? = 16%
C)
The answer is: C | C |
mathematics | find value for x from below equation? x + 1 = -3 | [
"1",
"-4",
"-1",
"2",
"3"
] | 1. Subtract 1 from both sides:
x + 1 - 1 = -3 - 1
2. Simplify both sides:
x = -4
B
The answer is: B | B |
mathematics | The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 96. Find their present ages. | [
"24,42,54",
"8,20,28",
"16,28,36",
"16,28,46",
"None of these"
] | Let the present ages of three persons be 4K,7K and 9K respectively.
(4K - 8) + (7K - 8) + (9K - 8) = 96
20K = 120
K = 6
Therefore, then present ages are 24,42,54.
ANSWER:A
The answer is: A | A |
mathematics | How many integers Q are prime numbers in the range 200 < Q < 220? | [
"1",
"2",
"3",
"4",
"5"
] | My friend, every single odd number greater than can be written either as 4Q+1 or as 4Q+3. If you divide any odd number by 4, you will get a remainder of either 1 or 3. That's not a rule unique to prime numbers at all.
The 6Q+1 or 6Q-1 rule is basically every odd number that is not divisible by three, so it narrows the ... | A |
mathematics | What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? | [
"266",
"500",
"287",
"26",
"281"
] | 70 = (P*4*7/2)/100
P = 500
Answer: B
The answer is: B | B |
mathematics | For a certain set, the value range of its members is 96.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the... | [
"21.2",
"24.2",
"36.3",
"48.4",
"96.8"
] | Let x and z be the smallest and largest of the original set, respectively.
z - x = 96.8
The smallest and largest members of the new set will be (x-12) / 4 and (z-12) / 4.
Then the range is (z-12) / 4 - (x-12) / 4 = (z-x) / 4 = 96.8 / 4 = 24.2
The answer is B.
The answer is: B | B |
mathematics | A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got inh english? | [
"120,60",
"180,60",
"180,90",
"120,40",
"None of them"
] | Let Arun’s marks in mathematics and english be x and y
Then 1/3x-1/2y=30
2x-3y=180……>(1)
x+y=240…….>(2)
solving (1) and (2)
x=180
and y=60
Answer is B.
The answer is: B | B |
mathematics | 8^9 - 8^2 is approximation of which of the following? | [
"9^7",
"9^8",
"9^9",
"9^11",
"8^9"
] | => Since 8^2 is a small number compared to 8^9, it can be disregarded. Thus, 8^9-8^2=8^9 is derived and the answer is E.
The answer is: E | E |
mathematics | Which of the following describes all values of x for which 2–x^2 >= 0? | [
"x >= 1",
"x <= –1",
"0 <= x <= 2",
"x <= –1 or x >= 1",
"–2 <= x <= 2"
] | Which of the following describes all values of x for which 2–x^2 >= 0?
(A) x >= 1
Plugged in 2. 2–(3)^2 >= 0 -7>=0? NO. Wrong
(B) x <= –1
Plugged in -3. 2–(-3)^2 >= 0 -7>=0? NO. Wrong
(C) 0 <= x <= 2
Plugged in 0, 1, and 2. All of them work. But E is better because it describes all the values of x
(D) x <= –1 or x >= 1... | E |
mathematics | Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part? | [
"27",
"29",
"31",
"32",
"37"
] | Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation
larger number – smaller number = 7
which is equivalent to
Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71... | C |
mathematics | Find the odd man out
25, 49, 81, 121, 144, 169 | [
"49",
"121",
"144",
"169",
"25"
] | 144 is square of 12 which is even number where as all others are squares of odd numbers.
ANSWER:C
The answer is: C | C |
mathematics | In the xy-plane, the point (-2, -1) is the center of a circle. The point (1, -1) lies inside the circle and the point (-2, 4) lies outside the circle. If the radius r of the circle is an integer, then r = | [
"6",
"5",
"4",
"3",
"2"
] | An easy way to solve this question will be just to mark the points on the coordinate plane.
You'll see that the distance between the center (-2, -1) and the point inside the circle (1, -1) is 3 units
(both points are on y=-1 line so the distance will simply be 1-(-2)=3)
So the radius must be more than 3 units.
The dist... | C |
mathematics | 10 men can complete a piece of work in 35 days. In how many days can 7 men complete that piece of work? | [
"23 days",
"46 days",
"22 days",
"29 days",
"50 days"
] | E
50 days
10 * 35 = 7 * x => x = 50 days
The answer is: E | E |
mathematics | Pipes A and B can fill a cistern in 20 and 60 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full? | [
"30",
"45",
"32",
"18",
"19"
] | :
1/20 + 1/60 = 1/15
15 * 2 = 30.Answer:A
The answer is: A | A |
mathematics | 900 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now? | [
"12.88",
"12.6",
"12.55",
"12.21",
"12.27"
] | 900*15 = 1100*x
x = 12.27.Answer: E
The answer is: E | E |
mathematics | What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? | [
"2999",
"2787",
"2097",
"9680",
"2886"
] | A= P{1 + R/100}n
=> 8000{1 + 10/100}2
= Rs.9680
Answer: D
The answer is: D | D |
mathematics | A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 55000. What is the share of C? | [
"Rs. 12250",
"Rs. 13375",
"Rs. 16750",
"Rs. 15000",
"None of these"
] | Explanation:
Let the investment of C be Rs. x.
The inverstment of B = Rs.(2x/3)
The inverstment of A = Rs. (3 × (2/3)x) = Rs. (2x)
Ratio of capitals of A, B and C = 2x : 2x/3 : x = 6 : 2 : 3
C's share = Rs. [(3/11) × 55000] = Rs. 15000
Answer: Option D
The answer is: D | D |
mathematics | In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If ... | [
"45",
"50",
"55",
"60",
"120"
] | F:C:W
1:12:30
Sport version:
F:C
3:12
F:W
1:60
OR 3:180
So C:F:W = 12:3:180
C/W = 12/180 = 3 ounces/x ounces
x = 8*180/12 = 120 ounces of water
E
The answer is: E | E |
mathematics | The sum of two numbers is 40 and their product is 350. What will be the sum of their reciprocals? | [
"4/35",
"8/75",
"75/4",
"75/8",
"75/6"
] | (1/a)+(1/b)=(a+b)/ab=40/350=4/35
ANSWER:A
The answer is: A | A |
mathematics | Find the value of
(10)150÷(10)146 | [
"10",
"100",
"1000",
"10000",
"None of these"
] | Explanation:
=(10)150/(10)146=10(4)=10000
Option D
The answer is: D | D |
mathematics | A man can row downstream at the rate of 30 Kmph and upstream at 10 Kmph. Find the man’s rate in still water and rate of current? | [
"10",
"8.0",
"9.5",
"9.0",
"8.25"
] | Rate of still water = 1/2 (down stream + upstream)
= 1/2 (30 + 10) = 20 Kmph
rate of current = 1/2 (down stream - upstream)
= 1/2 (30 - 10)
= 1/2 (20)
= 10 kmph
Answer is A.
The answer is: A | A |
mathematics | A sum fetched a total simple interest of $4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum? | [
"$8829",
"$2840",
"$6578",
"$7782",
"$8925"
] | E
8925
Principal
= $100 x 4016.25/9 x 5
= $401625/45
= $8925.
The answer is: E | E |
mathematics | In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 1999 were what percent of the profits in 1998? | [
"80%",
"105%",
"120%",
"124.2%",
"138%"
] | Let's TEST:
1998
Revenues= $100
Profits = $10
Next we're told that, in 1999, revenue FELL by 20%, but profits were 15% of revenues. Using the numbers from 1998 (above), we end up with...
1999
Revenues = $80
Profits = $12
We're asked to compare the profits in 1999 to the profits in 1998 (as a percentage):
$12/$10 = 1.2 ... | C |
mathematics | A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 2 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take ... | [
"1/2",
"1/3",
"2/5",
"5/4",
"3/2"
] | The rate of the basic system is 1 room/ (2/3 of an hour) = 3/2 rooms per hour
The rate of the advanced system is 1/2 of a room per hour
The combined rate is 2 rooms per hour.
The time to ventilate one room is 1/2 of an hour.
The answer is A.
The answer is: A | A |
mathematics | A chair is bought for Rs.600/- and sold at a loss of 5% find its selling price | [
"s.570/-",
"s.550/-",
"s.560/-",
"s.590/-",
"s.580/-"
] | 100 % ------> 600 (100 * 6 = 600)
95 % ------> 540 (95 * 6 = 570)
Selling price = Rs.540/-
A)
The answer is: A | A |
mathematics | If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 35 | [
"1",
"3",
"5",
"7",
"9"
] | P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 35 = 19008 / 35 = 543, remainder = 3
B
The answer is: B | B |
mathematics | Evaluate: 10010 - 12*3*2 = ? | [
"30002",
"70002",
"50002",
"90002",
"10002"
] | According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
10010 - 12*3*2 = 10010 - 8 = 10002
correct answer E
The answer is: E | E |
mathematics | Find the average of the series : 212, 152, 142, 132 and 112? | [
"129",
"150",
"267",
"207",
"174"
] | Average = (212+152+142+132+112)/5
= 750/5
= 150
Answer: B
The answer is: B | B |
mathematics | Last year, the price of a vacation package was P. At the beginning of this year, the price went up 20%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay? | [
"P + 10",
"1.1*P",
"1.12*P",
"0.80*P",
"0.84*P"
] | Last year price = P;
This year price = 1.2P;
Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price, thus he paid (1 - 0.3)*1.2P = 0.84P.
Answer: E.
The answer is: E | E |
mathematics | One fourth of one third of two fifth of a number is 15. What will be40% of that number | [
"140",
"150",
"180",
"200",
"220"
] | Explanation:
(1/4) * (1/3) * (2/5) * x = 15
then x = 15 * 30 = 450
40% of 450 = 180
Answer: Option C
The answer is: C | C |
mathematics | Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 5 years? | [
"x (1+n/100)^5 - x",
"4x (1+n/100)^4 - x",
"6x (1+n/100)^6 - x",
"2x (1+n/100)^2 - x",
"x (1+n/100)^7 - x"
] | Amount after 5 years compounded yearly = x (1+n/100)^5
Thus profit = Final amount - original principle = x (1+n/100)^5 - x . Answer : A
The answer is: A | A |
mathematics | A property was originally on a 99 years lease and two thirds of the time passed is equal to the four fifth of the time to come.how many years are there to go. | [
"33",
"80",
"79",
"27",
"111"
] | Answer:B
The answer is: B | B |
mathematics | Josh spends a total of $5.5 buying S items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then S may be which of the following? | [
"99",
"100",
"101",
"112",
"113"
] | S items in the convenience store$5.5 = 550 cents
550 = 50a + 5b
=>110 = 10a + b
b = 110 - 10a = 10(11-a)
Hence b is even and multiple of 10.
Possible values of b:
b = 10,20,30,40,50,60,70,80,90,100
a = 11,9,8,7,6,5,4,3,2,1
The total (a+b) is 21,29,38,47,56,65,74,83,92,101
The only option is 101. Hence C.
The answer is:... | C |
mathematics | Which of the list following is a prime number ? | [
"29",
"81",
"91",
"93",
"10"
] | A
29
Clearly, 29 is a prime number.
Answer is A
The answer is: A | A |
mathematics | There are two alloys madeup of copper and aluminium. In the first alloy copper is half as much as aluminium and in the second alloy copper is thrice as much as aluminium. How many times the second alloy must be mixed with first alloy to get the new alloy in which
copper is twice as much as aluminium? | [
"2",
"3",
"4",
"5",
"6"
] | first alloy second alloy
C Al C Al
Required alloy
C Al
2 1
Thus, Copper in first alloy = 1/3
copper in second alloy = 3/4
copper in required alloy =2/3
ANSWER:C
The answer is: C | C |
mathematics | A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? | [
"27 seconds",
"29 seconds",
"40 seconds",
"11 seconds",
"12 seconds"
] | Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (2/25) = 40 seconds
Answer:C
The answer is: C | C |
mathematics | A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 9 brown mice in the experiment, how many mice in total are in the experiment? | [
"39",
"33",
"27",
"21",
"10"
] | Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 9
=> M = 27
Answer C
The answer is: C | C |
mathematics | 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.60 only. Men’s wages are? | [
"6Rs",
"7Rs",
"8Rs",
"4Rs",
"1Rs"
] | 5M = xW = 8B
5M + xW + 8B ----- 60 Rs.
5M + 5M + 5M ----- 60 Rs.
15M ------ 60 Rs. => 1M = 4Rs.
Answer:D
The answer is: D | D |
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