loafeihong/math_mmlu_format huggingface dataset:
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 4/5 of the juniors is equal to 1/2 of the seniors, what fraction of the students in the room are juniors? Answer Choice: (A) 13/20 (B) 11/3 (C) 5/13 (D) 12/17 (E) 17/20
Answer: C
5x + y = 19 , and x + 3y = 1. Find the value of 3x + 2y Answer Choice: (A) 20 (B) 18 (C) 11 (D) 10 (E) 5
Answer: D
A card is drawn from a pack of 52 cards. The probability of getting a queen of spade or an ace of club is: Answer Choice: (A) 1/13 (B) 1/26 (C) 2/13 (D) 1/52 (E) 1/48
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 45 km/hr (B) 50 km/hr (C) 54 km/hr (D) 55 km/hr (E) 59 km/hr
Answer: B
There is a train and car. The ratio between the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 320 km in 5 hours. The speed of the bus is 4/5th of the speed of the train. How many kilometers will the car cover in 7 hours? Answer Choice: (A) 375 (B) 425 (C) 475 (D) 525 (E) 575
Answer: D
In a 5 digit ID number, what is the probability of exactly 4 digits are the digit 2? Answer Choice: (A) 0.81 (B) 1 (C) 11/22500 (D) 0.0081 (E) .144
Answer: C
If S = {8, 16, 24, 32, 40, 48}, what is the product of mean and median of the numbers in S? Answer Choice: (A) 652 (B) 589 (C) 456 (D) 620 (E) 784
Answer: E
There are 10 boxes numbered from 1 to 10. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done? Answer Choice: (A) 46 (B) 49 (C) 52 (D) 55 (E) 58
Answer: D
If A = x% of y and B = y% of x, then which of the following is true? Answer Choice: (A) None of these (B) A is smaller than B. (C) Relationship between A and B (D) If x is smaller than y, then cannot be determined. A is greater than B. (E) A is greater than B.
Answer: A
Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 35 (E) 50
Answer: E
Mary charges $8.50 per hour to clean a house. If she works 27 hours, how much
does she earn in one week? Answer Choice: (A) $619.50 (B) $122.50 (C) $229.50 (D) $429.50 (E) $312.50
Answer: C
For 1rs 4p interest
wat will be for 2000rs? Answer Choice: (A) 45Rs (B) 80Rs (C) 40Rs (D) 30Rs (E) 48Rs
Answer: B
Find the total number of divisors of 1728(including 1 and 1728) Answer Choice: (A) 28 (B) 29 (C) 30 (D) 31 (E) 32
Answer: A
A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half? Answer Choice: (A) 10 min. (B) 40 min. (C) 30 min. (D) 20 min. (E) 15 min.
Answer: C
If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2240 less than the principal. What was the principal? Answer Choice: (A) 1500 (B) 2500 (C) 2507 (D) 2800 (E) 11500
Answer: D
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 50 years. The age of E is? Answer Choice: (A) 50 (B) 47 (C) 48 (D) 49 (E) 46
Answer: A
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio E of students per class? Answer Choice: (A) E=3 (B) 4 (C) 6 (D) 8 (E) 12
Answer: A
A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a women alone in 18 days, how long will a boy take to complete the work? Answer Choice: (A) 6days (B) 8days (C) 9days (D) 7days (E) 5days
Answer: C
If n is an integer and 5^n > 50,000,000, what is the least possible value of n? Answer Choice: (A) 12 (B) 8 (C) 9 (D) 10 (E) 11
Answer: A
If a coin is tossed twice, what is the probability that the coin lands on tails on both tosses? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/4 (D) 1/2 (E) 1
Answer: C
The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price? Answer Choice: (A) 102% (B) 105% (C) 120% (D) 135% (E) 140%
Answer: A
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 55 km more than the other. What is the distance between the two stations? Answer Choice: (A) 540 km (B) 495 km (C) 276 km (D) 178 km (E) 176 km
Answer: B
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 80 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period? Answer Choice: (A) 79 (B) 89 (C) 95 (D) 90.91 (E) 97.2
Answer: D
A single refined oil can contains 20% impurities. After double – refining it contains 4% impurities. How much of double- refined oil can be obtained from 30 litres of single refined oil? Answer Choice: (A) 24.0 litres (B) 24.8 litres (C) 25.0 litres (D) 25.5 litres (E) 35.0 litres
Answer: C
In 2005, 20 percent of the math department’s 45 students were female, and in 2007, 40 percent of the math department’s 705 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department? Answer Choice: (A) 85% (B) 130% (C) 211.1% (D) 220% (E) 260%
Answer: C
Find the average of the series : 130, 160, 328, 180 and 162? Answer Choice: (A) 186 (B) 196 (C) 190 (D) 198 (E) 192
Answer: E
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a red and the second card is black is? Answer Choice: (A) 1/4 (B) 1/52 (C) 1/26 (D) 1/13 (E) 1/169
Answer: A
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum? Answer Choice: (A) 4% (B) 5% (C) 2% (D) 9% (E) 1%
Answer: B
If 0 < a < b and k = (2a + b)/b , which of the following must be true? Answer Choice: (A) k < 3 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11
Answer: A
A box contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 25/36. How many marbles are in the bag? Answer Choice: (A) 24 (B) 48 (C) 60 (D) 72 (E) 84
Answer: E
Platinum is 19 times as heavy as bronze and silver is 9 times as heavy as bronze. In what ratio these two metals be mixed so that the alloy is 15 times as heavy as bronze is Answer Choice: (A) 2:1 (B) 3:2 (C) 1:2 (D) 2:3 (E) 3:4
Answer: B
Chauncy, an English bulldog, received 1200 votes in the Mr. Bulldog USA competition, giving him approximately 30 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 70 percent of the total votes? Answer Choice: (A) 56.14% (B) 57.14% (C) 58.14% (D) 59.14% (E) 60.14%
Answer: B
Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar? Answer Choice: (A) 33277 (B) 6888 (C) 6000 (D) 2777 (E) 27812
Answer: C
The sum of three numbers is 98. If the ratio of the first to second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is Answer Choice: (A) 33 (B) 28 (C) 30 (D) 88 (E) 287
Answer: C
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 11 a.m. (B) 10 a.m. (C) 12 a.m. (D) 9 a.m. (E) 8 a.m.
Answer: B
80 ? 860 1550 2440 3530 Answer Choice: (A) 370 (B) 840 (C) 750 (D) 860 (E) 960
Answer: A
If each number in the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is used exactly once, in how many ways can the numbers be arranged? Answer Choice: (A) 3,228,400 (B) 3,328,500 (C) 3,428,600 (D) 3,528,700 (E) 3,628,800
Answer: E
Tom can hit a target 3times in 6 shots, Karan can hit the target 2 times in 6shots & Ashwini can hit 4 times in 4 shots.What is the probability that at least 2 shots hit the target ? Answer Choice: (A) 1/2 (B) 2/5 (C) 2/3 (D) 2/7 (E) 3/7
Answer: C
Tough and Tricky questions: Absolute Values.
If |a| = 1/2 and |b| = 2/3, which of the following CANNOT be the result of a + b? Answer Choice: (A) 7/6 (B) -1/6 (C) 1/6 (D) 2/6 (E) -7/6
Answer: D
The sale price watches listed for Rs.4500 after successive discount is 10% and 20% is? Answer Choice: (A) 3240 (B) 3420 (C) 4320 (D) 4230 (E) 3140
Answer: A
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son? Answer Choice: (A) 20 years (B) 21 years (C) 22 years (D) 23 years (E) 24 years
Answer: C
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 15 (B) 61 (C) 21 (D) 14 (E) 12
Answer: C
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Answer Choice: (A) 12 minutes (B) 18 minutes (C) 10 minutes (D) 15 minutes (E) 42 minutes
Answer: A
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 287 m (B) 350 m (C) 187 m (D) 197 m (E) 186 m
Answer: B
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choice: (A) 20% (B) 45% (C) 44% (D) 48% (E) 49%
Answer: C
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2700 sq m, then what is the breadth of the rectangular plot? Answer Choice: (A) 11 (B) 17 (C) 18 (D) 101 (E) 30
Answer: E
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 227 (B) 350 (C) 771 (D) 176 (E) 125
Answer: B
10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 6514, how much was it in the beginning? Answer Choice: (A) 8545 (B) 8770 (C) 8515 (D) 7999 (E) 7989
Answer: C
Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999 ? Answer Choice: (A) Rs.45,000 (B) Rs.50,000 (C) Rs.70,000 (D) Rs.75,000 (E) None of these
Answer: B
If a > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - a) = Answer Choice: (A) 1/4 (B) 1/3 (C) 1/2 (D) 3/4 (E) 1
Answer: B
If 5 machines can produce 20 units in 10 hours, how long would it take 10 to produce 60 units? Answer Choice: (A) 9 (B) 10 (C) 15 (D) 25 (E) 30
Answer: C
Sami's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Sami owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively? Answer Choice: (A) $55, $85, $40 (B) $60, $60, $60 (C) $65, $55, $90 (D) none of these (E) $25, $60, $70
Answer: D
What is the total surface area in square meters of a rectangular solid whose length is 8 meters, width is 7 meters, and depth is 4 meters? Answer Choice: (A) 132 m2 (B) 145 m2 (C) 165 m2 (D) 152 m2 (E) 120 m2
Answer: A
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 828 (B) 788 (C) 378 (D) 750 (E) 288
Answer: D
Find the number of numbers from 1 to 100 which are not divisible by any one of 2,3,5,7. Answer Choice: (A) 16 (B) 17 (C) 18 (D) 19 (E) 21
Answer: E
B and C started a business by investing Rs.3300/- and Rs.8800/- respectively. Find the C’s share out of a total profit of Rs.2200: Answer Choice: (A) 500 (B) 600 (C) 700 (D) 800 (E) 900
Answer: B
On dividing 23 by a number, the quotient is 5 and the remainder is 3. Find the divisor. Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 7
Answer: C
There are 160 horses and 340 sheep on a certain farm. If 20% of the horses and 35% of the sheep are eight years old or older, what percent of the horses and sheep on the farm are under the age of eight? Answer Choice: (A) 15.6% (B) 30.2% (C) 55% (D) 56% (E) 69.8%
Answer: E
If a + b - c =-2d, and if a - b + c = 2e, then a = Answer Choice: (A) 2(d + e) (B) d – e (C) (d + e)/2 (D) d-2e (E) e-d
Answer: E
How many integers between 324,700 and 387,600 have tens digit 1 and units digit 3? Answer Choice: (A) 438 (B) 629 (C) 780 (D) 879 (E) 924
Answer: B
A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 126 Kmph (B) 136 Kmph (C) 172 Kmph (D) 128 Kmph (E) 19 Kmph
Answer: A
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 9, what is the least possible value of n? Answer Choice: (A) 7 (B) 6 (C) 9 (D) 12 (E) 7
Answer: B
16 +17+18+19=70. How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10? Answer Choice: (A) 100 (B) 200 (C) 300 (D) 400 (E) 500
Answer: B
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin Answer Choice: (A) 23.5 (B) 24.5 (C) 12.5 (D) 14.5 (E) 16.5
Answer: B
Find the number of factors Q of 180 that are in the form (4*k + 2), where k is a non-negative integer? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) Q=6
Answer: E
Find the reminder when 333666777888999 divided by 3 or 9 or 11 Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: D
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 192 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 6 (C) 4 (D) Cannot be determined (E) None of these
Answer: C
Sandy had $217 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her? Answer Choice: (A) $270 (B) $290 (C) $310 (D) $330 (E) $350
Answer: C
Peeta asks Katniss, 'It is 12 pm as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ? Answer Choice: (A) 9am (B) 6pm (C) 4am (D) 7am (E) 8pm
Answer: A
If the tens digit of positive integers t, y are 6, how many values of the tens digit of 2(t+y) can be there? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price A. The store sold the first 150 copies in the first week at 80% more than A, and then over the next month, sold a 100 more at 20% more than A. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than A. What was the bookstore’s net percent profit or loss on the entire lot of 400 books? Answer Choice: (A)  30% loss (B)  10% loss (C)  10% profit (D)  20% profit (E)  60% profit
Answer: D
If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is: Answer Choice: (A) 1 (B) 100 (C) 121 (D) 141 (E) 1000
Answer: C
Calculate the area of a triangle, if the sides of are 52 cm, 48 cm and 20 cm, what is its area? Answer Choice: (A) 480 cm2 (B) 580 cm2 (C) 380 cm2 (D) 180 cm2 (E) 280 cm2
Answer: A
If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed? Answer Choice: (A) 10% (B) 15% (C) 20% (D) 25% (E) None
Answer: C
In front of you lies a figure made up with 20 x 10 square blocks. Will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares? Answer Choice: (A) 11647 (B) 11550 (C) 12654 (D) 26537 (E) 32651
Answer: B
Pipe A can fill the tank in 30 minutes and pipe B in 20min and pipe C can empty the tank in 90 minutes. How long it will take to fill the tank if three of the pipes are operating together? Answer Choice: (A) 10.55 (B) 12.0 (C) 13.1 (D) 13.85 (E) 15.2
Answer: D
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -. Answer Choice: (A) 24 (B) 23 (C) 119 (D) 120 (E) None of these
Answer: C
A restaurant meal cost $24.6 and there was no tax. If the tip was more than 20 percent but less than 18 percent of the cost of the meal, then the total amount paid must have been between Answer Choice: (A) $40 and $42 (B) $29 and $29 (C) $38 and $40 (D) $37 and $39 (E) $36 and $37
Answer: B
Manoj borrowed Rs.3450 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.825.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu? Answer Choice: (A) Rs.5358 (B) Rs.5458 (C) Rs.3370 (D) Rs.4358 (E) Rs.3358
Answer: A
Gary is 15 years younger than Simon, and Kim is twice as old as Gary. If S is Simon’s age and K is Kim's age, what is the relationship between K and S? Answer Choice: (A) K = 2S + 10 (B) K = 2S + 10 (C) K = 2S - 30 (D) K = 2S − 10 (E) K = 2S − 5
Answer: C
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is? Answer Choice: (A) 76 (B) 78 (C) 86 (D) 88 (E) 90
Answer: C
If the integer d is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when d is rounded to the nearest ten. which of the following is a possible value of d? Answer Choice: (A) 64 (B) 67 (C) 99 (D) 133 (E) 147
Answer: A
If Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Answer Choice: (A) 14x/y (B) 14y/x (C) x/(14y) (D) 14/(xy) (E) xy/14
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 cm2 (B) 820 cm2 (C) 128 cm2 (D) 110 cm2 (E) 220 cm2
Answer: A
In a camp, there is a meal for 140 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ? Answer Choice: (A) 38 men (B) 32 men (C) 35 men (D) 30 men (E) None of these
Answer: C
The average of first five multiples of 3 is? Answer Choice: (A) 2 (B) 9 (C) 8 (D) 6 (E) 3
Answer: B
When 21 is divided by positive integer j, the remainder is 6. For how many values of j is this true? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Answer: A
A is thrice as good a work man as B and together they finish a piece of work in 12 days.The number of days taken by A alone to finish the work is : Answer Choice: (A) 28 days. (B) 14 days. (C) 12 days. (D) 16 days. (E) 18 days.
Answer: D
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3100, A will get: Answer Choice: (A) Rs.1200 (B) Rs.1500 (C) Rs. 1860 (D) Rs.2000 (E) None of these
Answer: C
A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed . Answer Choice: (A) 30 km/hr (B) 40 km/hr (C) 55 km/hr (D) 60 km/hr (E) 70 km/hr
Answer: C
Given f(x) = 2x – 3, for what value of x does 2*[f(x)] – 21 = f(x – 4) ? Answer Choice: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Answer: E
In division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 3 as quotient. What the correct quotient? Answer Choice: (A) 0 (B) 12 (C) 13 (D) 20 (E) None of these
Answer: D
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 6 hours (B) 8 hours (C) 3 hours (D) 1 hours (E) 2 hours
Answer: C
The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) kmph (B) kmph (C) kmph (D) kmph (E) kmph
Answer: D
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 21 (D) 8 (E) 9
Answer: C
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 322 (D) 345 (E) 355
Answer: C
When a Mobile is sold for Rs. 7200, the owner loses 20%. At what price must that Mobile be sold in order to gain 20%? Answer Choice: (A) 10,400 (B) 10,600 (C) 10,800 (D) 11,000 (E) 11,200
Answer: C
When you multiply a number by 4 and
then subtract 8, the result is the same as
if you first subtracted 11 from the same
number and then multiplied by 8. What
is the number? Answer Choice: (A) A)23 (B) B)13 (C) C)19 (D) D)31 (E) E)20
Answer: E
Of the goose eggs laid at a certain pond, 1/4 hatched and 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 2/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond? Answer Choice: (A) 600 (B) 700 (C) 800 (D) 900 (E) 1000
Answer: E
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) – (10x + z) could be equal to Answer Choice: (A) 32 (B) 36 (C) 45 (D) 64 (E) 65
Answer: B
Seth opened a shop investing Rs.6000. Taylor joined him after one year, investing Rs.10000. They earned a profit of Rs.1100 after completion of two years. What will be Taylor's share of profit? Answer Choice: (A) 600 (B) 700 (C) 500 (D) 800 (E) 450
Answer: C
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is? Answer Choice: (A) 288 m (B) 267 m (C) 888 m (D) 150 m (E) 278 m
Answer: D
In an election between two political leaders 10% of the voters did not cast their vote. 10% of the votes polled were found invalid. The successful political leader got 54% of the valid, votes and won by a majority of 3240 votes. The number of voters enrolled on the voters list was : Answer Choice: (A) 30000 (B) 50000 (C) 33000 (D) 40000 (E) 45000
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 19 sec (B) 87 sec (C) 36 sec (D) 34 sec (E) 11 sec
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 11 (B) 444 (C) 468 (D) 287 (E) 221
Answer: C