loafeihong/math_mmlu_format huggingface dataset:
Solution Y is 30 percent liquid P and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid P? Answer Choice: (A) 30% (B) 33 1/3% (C) 37 1/2% (D) 40% (E) 50%
Answer: C
Machine T can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N? Answer Choice: (A)  1/2 (B)  1/3 (C)  4/13 (D)  8/29 (E)  6/33
Answer: C
If all the numbers 2, 3, 4, 5, 6, 7, 8 are arranged, find the number of arrangements in which 2, 3, 4, are together? Answer Choice: (A) 650 (B) 680 (C) 720 (D) 740 (E) 750
Answer: C
The average of first 10 natural numbers is? Answer Choice: (A) 5.9 (B) 5.5 (C) 5.4 (D) 5.1 (E) 5.2
Answer: B
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: Answer Choice: (A) 60 kmph (B) 5 kmph (C) 10 kmph (D) 15 kmph (E) 120 kmph
Answer: E
How long will take a leak at the bottom of a tank to empty it if it will take
8 hours to fill it without the leak, but due to the leak it will take 9 hours to be filled? Answer Choice: (A) 50 hours (B) 33 hours (C) 72 hours (D) 82 hours (E) 92 hours
Answer: C
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is? Answer Choice: (A) 3000 (B) 2802 (C) 1750 (D) 2990 (E) 2982
Answer: C
Which of the following options represents an approximate value for the question mark (?) in the following equation? 662.4 + 15.2 × 4.1 + ? = 672.951 Answer Choice: (A) 71.9 (B) 74.9 (C) 76.9 (D) 77.9 (E) 72.9
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? Answer Choice: (A) 7 (B) 8 (C) 5 (D) 4 (E) 10
Answer: E
When 1/10 percent of 6,000 is subtracted from 1/10 of 6,000, the difference is Answer Choice: (A)  0 (B)  50 (C)  450 (D)  495 (E)  694
Answer: E
A sum was put at simple interest at a certain rate for 7 years Had it been put at 2% higher rate, it would have fetched 140 more. Find the sum. Answer Choice: (A) 500 (B) 750 (C) 1000 (D) 1250 (E) 1500
Answer: C
The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group? Answer Choice: (A) 22 (B) 77 (C) 23 (D) 44 (E) 51
Answer: C
A merchant sells an item at a 20% discount, but still makes a gross profit of 30 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount? Answer Choice: (A) 20% (B) 40% (C) 50% (D) 62.5% (E) 75%
Answer: D
What was the day of the week on, 18th July, 1776? Answer Choice: (A) Thursday (B) Wednesday (C) Monday (D) Saturday (E) SUNDAY
Answer: A
If a2 - b2 = 10 and a*b = 8, find a4 + b4. Answer Choice: (A) 200 (B) 228 (C) 182 (D) 102 (E) 128
Answer: B
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Answer Choice: (A) 38 seconds (B) 26 seconds (C) 88 seconds (D) 12 seconds (E) 18 seconds
Answer: D
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/5 %, then the amount invested at 11% was? Answer Choice: (A) 23777 (B) 30000 (C) 29977 (D) 26777 (E) 19871
Answer: B
The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 255 (B) 267 (C) 245 (D) 277 (E) 215
Answer: E
What number when divided in half becomes zero ? Answer Choice: (A) 2 (B) 4 (C) 9 (D) 6 (E) 8
Answer: E
Calculate the distance covered by 320 revolutions of a wheel of radius 28.1 cm. Answer Choice: (A) 465.2 m (B) 965.2 m (C) 265.2 m (D) 565.2 m (E) 165.2 m
Answer: D
A rectangular field has to be fenced on three sides leaving a side of 2020 feet uncovered. If the area of the field is 680680 sq. feet, how many feet of fencing will be required? Answer Choice: (A) 95 (B) 92 (C) 88 (D) 82 (E) 80
Answer: C
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Answer Choice: (A) 8 hours (B) 10 hours (C) 12 hours (D) 24 hours (E) none of the above
Answer: C
What is the sum of natural numbers between 60 and 100 Answer Choice: (A) 4800 (B) 4860 (C) 5000 (D) 5500 (E) 3280
Answer: E
he total marks obtained by a student in Physics, Chemistry and Mathematics is 130 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Answer Choice: (A) 55 (B) 65 (C) 75 (D) 85 (E) 95
Answer: B
A table is bought for Rs.400/- and sold at Rs.300/- find gain or loss percentage Answer Choice: (A) 25% loss (B) 20% gain (C) 20% loss (D) 15% gain (E) None
Answer: A
Joseph Paul and his friend went for fishing.
They got six fishes without heads, nine fishes without the tail and eight fishes cut in two halves.
How many fishes did they caught ? Answer Choice: (A) 0 (B) 4 (C) 1 (D) 7 (E) 5
Answer: A
A green lizard can travel from the green cave to the blue cave in 108 minutes; the blue lizard can travel from the blue cave to the green cave in 25% less time. If the green lizard started to travel 7.5 minutes before the blue lizard, how many minutes after the blue lizard, will the green lizard pass the middle line? Answer Choice: (A) 2. (B) 3.5. (C) 4. (D) 5.5. (E) 6.
Answer: E
If 40% of a certain number is 160, then what is 60% of that number? Answer Choice: (A) 270 (B) 380 (C) 260 (D) 360 (E) 240
Answer: E
Working simultaneously and independently at an identical constant rate, 6 machines of a certain type can produce a total of x units of product P in 10 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5x units of product P in 6 days? Answer Choice: (A) 50 (B) 18 (C) 16 (D) 12 (E) 8
Answer: A
Find the least number must be subtracted from 11070 so that remaining number is divisible by 22. Answer Choice: (A) 2 (B) 3 (C) 4 (D) 7 (E) 8
Answer: A
The perimeter of one face of a cube is 28 cm. Its volume will be: Answer Choice: (A) 125cm3 (B) 343cm3 (C) 250cm3 (D) 625cm3 (E) None of these
Answer: B
If a2 + b2 + c2 = 213 and ab + bc + ca = 6, then a + b + c is Answer Choice: (A) 14 (B) 20 (C) 15 (D) 32 (E) 64
Answer: C
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 20 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)? Answer Choice: (A) 16 km/hr (B) 20 km/hr (C) 24 km/hr (D) 28 km/hr (E) 32 km/hr
Answer: C
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Answer Choice: (A) 2:5 (B) 1:5 (C) 3:5 (D) 4:5 (E) 6:5
Answer: A
In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 14 (E) 15
Answer: C
If p^2 = q^2, which of the following must be true? Answer Choice: (A) p =q (B) p = −q (C) p = |k| (D) |p| = |q| (E) p = −|q|
Answer: D
In the manufacture of a certain product, 4 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale? Answer Choice: (A) 0.125% (B) 0.2% (C) 0.16% (D) 1.25% (E) 2.0%
Answer: C
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/4 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? Answer Choice: (A) 3/4 (B) 11/15 (C) 7/10 (D) 1/6 (E) 2/15
Answer: A
The time on a clock is 20 minutes past 7. What is the angle between the hands of the clock? Answer Choice: (A) 60 degrees (B) 100 degrees (C) 80 degrees (D) 50 degrees (E) 120 degrees
Answer: B
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: Answer Choice: (A) 1677 (B) 1683 (C) 2523 (D) 3363 (E) 3478
Answer: B
On a summer camp, 25% of the campers paid $110 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80? Answer Choice: (A) 18% (B) 21% (C) 33.35 (D) 33.3% (E) 37.5%
Answer: C
If there are 8 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group? Answer Choice: (A) 32 (B) 24 (C) 56 (D) 448 (E) 540
Answer: D
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle? Answer Choice: (A) 432 sq m (B) 356 sq m (C) 300 sq m (D) 428 sq m (E) 525 sq m
Answer: C
If wy + z = w(y + z), which of the following must be true? Answer Choice: (A)  x = 0 and z = 0 (B)  w = 1 and y = 1 (C)  w = 1 and z = 0 (D)  w = 1 or y = 0 (E)  w = 1 or z = 0
Answer: E
The sum of present age of Abe and the age before 7 years is 37. Find the present age of Abe. What will be his age after 7 years? Answer Choice: (A) 25 (B) 26 (C) 27 (D) 28 (E) 29
Answer: E
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 65 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Answer Choice: (A)  50% (B)  47% (C)  54% (D)  55% (E)  57%
Answer: B
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Answer Choice: (A) 9 1/4 min (B) 11 1/4 min (C) 7 1/4 min (D) 8 1/2 min (E) 9 1/2 min
Answer: B
A furniture manufacturer has two machines, but only one can be used at a time. Machine F is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine F can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule? Answer Choice: (A) 14 (B) 13 (C) 11 (D) 9 (E) 7
Answer: D
There are 30 children in a classroom, each student will get 1 dozen pencils and 2 dozen erasers, there are 6 teachers. how many pencils will each teacher have to give out to each student? Answer Choice: (A) 6 (B) 4 (C) 3 (D) 2 (E) 5
Answer: D
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000
Answer: C
There are, in a certain league, 20 teams, and each team face another team for a total of 4 times. How many games are played in the season? Answer Choice: (A) 450 (B) 760 (C) 110 (D) 180 (E) 400
Answer: B
The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 40% more than the price of the other, what is the price of each of these two oranges? Answer Choice: (A) Rs 5, Rs 7.50 (B) Rs 8, Rs 12 (C) Rs 10, Rs 16 (D) Rs 10.8, Rs 15.2 (E) None of these
Answer: D
On a map, 2 inches represent 30 miles. How many miles approximately is the distance if you measured 38 centimeters assuming that 1-inch is 2.54 centimeters? Answer Choice: (A) 226 (B) 228 (C) 230 (D) 224 (E) 232
Answer: D
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have? Answer Choice: (A) Rs. 460 (B) Rs. 484 (C) Rs. 550 (D) Rs. 664 (E) Rs. 764
Answer: B
A Sum at compound interest amounts to Rs.7500 in 2 years and to Rs.9000 in 3 years then rate per annum is Answer Choice: (A) 11% (B) 12% (C) 15% (D) 20% (E) 22%
Answer: D
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is Answer Choice: (A) 12 (B) 32 (C) 42 (D) 52 (E) 58
Answer: C
If the price of an article went up by 15%, then by what percent should it be brought down to bring it back to its original price? Answer Choice: (A) 17.39% (B) 2/8% (C) 2/1% (D) 1/3% (E) 2/7%
Answer: A
What percent of 17 is 17 percent of 1? Answer Choice: (A)  0.001 (B)  0.01 (C)  0.1 (D)  14 (E)  1
Answer: E
Find k if 24 / k = 4. Answer Choice: (A) 6 (B) 7 (C) 8 (D) 4 (E) 3
Answer: A
Average of first five multiples of 3 is Answer Choice: (A) 9 (B) 11 (C) 13 (D) 15 (E) 16
Answer: A
Find a sum for 1st 4 prime number's? Answer Choice: (A) 25 (B) 17 (C) 30 (D) 34 (E) 36
Answer: B
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Answer Choice: (A) 18 (B) 17 (C) 17 (D) 12 (E) 13
Answer: D
The population of a city increases by 7% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years? Answer Choice: (A) 9% (B) 9.10% (C) 27% (D) 12% (E) None of these
Answer: B
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 5 and peanut cookies in batches of 6. If he makes exactly 94 cookies, what is the minimum number of chocolate chip cookies he makes? Answer Choice: (A) 7 (B) 14 (C) 21 (D) 28 (E) 40
Answer: E
A bag contains 9 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf? Answer Choice: (A) 1/4 (B) 2/9 (C) 3/11 (D) 4/19 (E) 5/26
Answer: A
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 50 Kmph (B) 45 Kmph (C) 54 Kmph (D) 56 Kmph (E) 60 Kmph
Answer: E
4 Women & 6 men have to be seated in a row given that no two women can sit together. How many different arrangements are there. Answer Choice: (A) 6! x 7P4 (B) 6! x 9P4 (C) 6! x 5P4 (D) 6! x 3P4 (E) 6! x 2P4
Answer: A
n the youth summer village there are 150 people, 75 of them are not working, 50 of them have families and 100 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower? Answer Choice: (A) 25. (B) 50. (C) 75 (D) 100 (E) 150
Answer: C
A metallic sheet is of rectangular shape with dimensions 46 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is: Answer Choice: (A) 4830 (B) 5120 (C) 6420 (D) 4800 (E) 8960
Answer: D
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? Answer Choice: (A) 3 : 5 : 2 (B) 3 : 5 : 5 (C) 6 : 10 : 5 (D) 6 : 11 : 2 (E) Data inadequate
Answer: C
Truck X is 13 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X? Answer Choice: (A) 2 hours (B) 2 hours 20 minutes (C) 2 hours 30 minutes (D) 2 hours 45 minutes (E) 3 hours
Answer: E
The G.C.D. of 1.08, 0.36 and 0.6 is? Answer Choice: (A) 0.03 (B) 0.9 (C) 0.18 (D) 0.12 (E) none of these
Answer: D
Statement : A man must be wise to be a good wrangler. Good wranglers are talkative and boring.
Conclusions :
I. All the wise persons are boring.
II. All the wise persons are wranglers. Answer Choice: (A) Only conclusion I follows (B) Only conclusion II follows (C) Either I or II follows (D) Neither I nor II follows (E) Both I and II follow
Answer: D
Q-1) Of the 84 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 22 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments? Answer Choice: (A) 25 (B) 36 (C) 38 (D) 42 (E) 45
Answer: D
A bag contains 3 red, 4 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 2/15 (B) 2/21 (C) 3/55 (D) 3/29 (E) 4/27
Answer: C
If a quality control check is made inspecting a sample of 2 light bulbs from a box of 11 lighbulbs, how many different samples can be chosen? Answer Choice: (A) 6 (B) 24 (C) 55 (D) 66 (E) 72
Answer: C
Find the odd man out. 15, 25, 30, 53, 90, 110, 130 Answer Choice: (A) 15 (B) 25 (C) 53 (D) 90 (E) 115
Answer: C
Wane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour? Answer Choice: (A) 1 hour 45 minutes (B) 2 hours (C) 2 hours 30 minutes (D) 3 hours (E) None of these
Answer: D
Can anyhow help me with an easy solution for this
3, 4, 100, 5, 4, 144, 7, 3, ? Answer Choice: (A) 144 (B) 265 (C) 276 (D) 225 (E) 169
Answer: E
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 110 units raises the average to 55 units per day, what is the value of n? Answer Choice: (A) 9 (B) 11 (C) 13 (D) 15 (E) 17
Answer: B
How many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18? Answer Choice: (A) 36 (B) 37 (C) 38 (D) 39 (E) 40
Answer: C
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Answer Choice: (A) A.72 (B) B.50 (C) C.92 (D) D.46 (E) E.44
Answer: C
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 200 terms? Answer Choice: (A) 40/41 (B) 50/51 (C) 100/101 (D) 200/201 (E) 400/401
Answer: D
((-1.9)(0.6) – (2.6)(1.2))/5.0 = ? Answer Choice: (A) -0.852 (B) 1.0 (C) 1.07 (D) 1.71 (E) 2.71
Answer: A
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place? Answer Choice: (A) 24km (B) 30km (C) 48km (D) 12km (E) 15km
Answer: A
A train crosses a platform of 150 m in 10 sec, same train crosses another platform of length 250 m in 15 sec. then find the length of the train? Answer Choice: (A) 150m (B) 180m (C) 159m (D) 250m (E) 50 m
Answer: E
6^(x-4)=6
What is the value of x ? Answer Choice: (A) 5 (B) 2 (C) -6 (D) 6 (E) 4
Answer: A
In "Clash Royal" App Game, Warrior "The Bomber" is a very good defensive options. It can be purchased from the card shop.
The cost of the bomber is quite interesting.
The Cost of 1st bomber is: 2
The Cost of 2nd bomber is: 4
The Cost of 3rd bomber is: 6
The Cost of 4th bomber is: 8
The Cost of 5th bomber is: 10
i.e to buy 5 bombers you need 2+4+6+8+10 = 30 coins.
How many bombers can you buy using 1000 coins ? ? Answer Choice: (A) 61 (B) 62 (C) 63 (D) 64 (E) 65
Answer: B
In a single throw of a die, what is probability of getting a number greater than 4? Answer Choice: (A) 2/3 (B) 3/5 (C) 4/7 (D) 8/9 (E) 1/3
Answer: E
The area of a triangle will be when a = 3m, b = 5m, c = 10m, a, b, c being lengths of respective sides? Answer Choice: (A) 3 (B) 6 (C) 4 (D) 9 (E) 1
Answer: D
Ben's income is 60% less than Rex's income, and Sam's income is 25% less than Ben's income. If Rex gave 60% of his income to Sam and 40% of his income to Ben, Ben's new income would be what fraction of Sam's new income? Answer Choice: (A) 8/9 (B) 11/12 (C) 8/13 (D) 11/13 (E) 12/13
Answer: A
The average of 38 numbers is 45. If two numbers namely 32 and 45 are discarded, The average of
remaining numbers is? Answer Choice: (A) 35.5 (B) 47.5 (C) 39.5 (D) 45.3 (E) 44.3
Answer: D
A certain galaxy is known to comprise approximately 2 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun? Answer Choice: (A) 800 (B) 1,250 (C) 8,000 (D) 4,000 (E) 80,000
Answer: D
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is Answer Choice: (A) 27 (B) 29 (C) 12 (D) 11 (E) Cannot be determined
Answer: E
The average of first nine prime numbers which are odd is? Answer Choice: (A) 12.55 (B) 13.55 (C) 14.55 (D) 11.55 (E) 12.95
Answer: A
A total of 535 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie. Answer Choice: (A) 511 (B) 512 (C) 534 (D) 255 (E) 1023
Answer: C
Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z? Answer Choice: (A) y + 3z (B) (y +z) / 4 (C) 2y + 3z (D) z/2 (E) 3y + 4.5z
Answer: D
If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) II and III
Answer: B
In a school 10% of the boys are same in number as 1/3th of the girls. what is the ratio of boys to the girls in the school? Answer Choice: (A) 5:2 (B) 2:3 (C) 10:3 (D) 3:7 (E) 2:5
Answer: C
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Answer Choice: (A) 11 kmph (B) 10 kmph (C) 18 kmph (D) 15 kmph (E) 16 kmph
Answer: D
Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 2 pumps to empty the same pool? Answer Choice: (A) 25 (B) 24 (C) 22 (D) 23 (E) 21
Answer: E
How many positive integers W less than 10,000 are such that the product of their digits is 210? Answer Choice: (A) 24 (B) 30 (C) 48 (D) 54 (E) 72
Answer: D
A bag contains 2 red, 3 green, and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball? Answer Choice: (A) 5/7 (B) 9/14 (C) 13/21 (D) 17/28 (E) 23/35
Answer: B
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 37 seconds. Find the length of the faster train? Answer Choice: (A) 270 (B) 370 (C) 266 (D) 299 (E) 126
Answer: B