loafeihong/math_mmlu_format huggingface dataset:
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Answer Choice: (A) 30 (B) 32 (C) 34 (D) 31 (E) 35
Answer: E
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ? Answer Choice: (A) 2hours a day (B) 7hours a day (C) 6hours a day (D) 3hours a day (E) 2hours a day
Answer: C
By selling a house for Rs.72000, it was found that 1/5 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c? Answer Choice: (A) 38020 (B) 57000 (C) 38028 (D) 38019 (E) 38192
Answer: B
How many negative numbers are there in an alternating sequence of positive and negative numbers, if the sequence contains b numbers, where b is an odd number greater than 12. The first number of the sequence is a negative number. Answer Choice: (A) (b-1)/2 (B) (b+1)/2 (C) b/2 (D) b/(2-1) (E) b/(2+1)
Answer: B
The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height? Answer Choice: (A) 3 cm (B) 6 cm (C) 7 cm (D) 9 cm (E) 10 cm
Answer: B
How many ways can 10 friends be arranged around a circular dinner table? Answer Choice: (A) 6! (B) 7! (C) 8! (D) 9! (E) 10!
Answer: D
Replace X with the appropriate number in
1 , 3 , 5 , 7 , 8 , 9 , 10 , X Answer Choice: (A) 2 (B) 11 (C) 4 (D) 6 (E) 30
Answer: B
What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x Answer Choice: (A) 3707 (B) 3790 (C) 3910 (D) 3907 (E) 3970
Answer: D
In given series 582, 605, 588, 611, 634, 617, 600 only one number is incorrect. Find out that wrong number Answer Choice: (A) 615 (B) 634 (C) 600 (D) 620 (E) 617
Answer: B
Find the value for x from below equation: x/3=-4? Answer Choice: (A) -12 (B) 1 (C) -2 (D) -3 (E) 4
Answer: A
A college has classes from 10:00 AM until 1:40 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period? Answer Choice: (A) 38 min (B) 41 min (C) 40 min (D) 42 min (E) 52 min
Answer: C
Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rakesh ? Answer Choice: (A) 1000 (B) 1100 (C) 1125 (D) 1200 (E) 1050
Answer: A
A man swims downstream 76 km and upstream 48 km taking 4 hours each time; what is the speed of the current? Answer Choice: (A) 3 kmph (B) 1.5 kmph (C) 3.5 kmph (D) 6.5 kmph (E) 7:3kmph
Answer: C
How many multiples of 8 are less than 7600, and also multiples of 19? Answer Choice: (A) 104 (B) 100 (C) 50 (D) 89 (E) 90
Answer: C
The value of log2(log5625) is Answer Choice: (A) 2 (B) 5 (C) 10 (D) 15 (E) 20
Answer: A
Solve x2 â€“ 3x â€“ 4 = 0. Answer Choice: (A) 1,4 (B) -1,4 (C) 2,3 (D) 2,4 (E) 2,6
Answer: B
What is the product of all the prime factors of 25? Answer Choice: (A) 25 (B) 30 (C) 35 (D) 40 (E) 45
Answer: A
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required? Answer Choice: (A) 18 (B) 20 (C) 24 (D) 36 (E) 42
Answer: A
There are 6 people and 3 chairs. In how many different ways people can occupy the chairs? Answer Choice: (A) 90 (B) 120 (C) 150 (D) 100 (E) 140
Answer: B
If (-12x)^(4x) = 12x^(15 - x) and x is an integer, what is the value of x ? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 2 (E) -2
Answer: C
There are 100 wine glasses. I offered my servant to 3 paise for every broken glass to be delivered safely and forfeit 9 paisa for every glass broken at the end of day. He recieved Rs.2.40 .how many glass did he break.
a. 20 b. 73 c. 5 d. 8 Answer Choice: (A) 22 (B) 281 (C) 29 (D) 28 (E) 191
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) 4/3 (C) 1/3 (D) 5/7 (E) 7/9
Answer: C
4, 12, 48, 240, 1440, (...) Answer Choice: (A) 7620 (B) 6200 (C) 10020 (D) 10080 (E) 11000
Answer: D
A glass was filled with 15 ounces of water, and 0.05 ounce of the water evaporated each day during a 15-day period. What percent of the original amount of water evaporated during this period? Answer Choice: (A) 0.005% (B) 0.05% (C) 0.5% (D) 5% (E) 25%
Answer: D
A rectangular block 6cm by 12cm by 15cm is cut into an exact number of equal cubes. Find the least possible number of cubes? Answer Choice: (A) 20 (B) 25 (C) 40 (D) 50 (E) 35
Answer: C
If log 0.317 = 0.3332 and log 0.318 = 0.3364, then find log 0.319 Answer Choice: (A) 0.3396 (B) 0.3496 (C) 0.3596 (D) 0.3696 (E) 0.3796
Answer: A
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects? Answer Choice: (A) 19 (B) 41 (C) 21 (D) 26 (E) 34
Answer: B
Find the area of a triangle whose sides are 41 cm, 28 cm, 15 cm. Also, find the length of the altitude corresponding to the largest side of the triangle. Answer Choice: (A) 4.1 cm (B) 5.1 cm (C) 6.1 cm (D) 7.1 cm (E) 8.1 cm
Answer: C
What is the greatest prime factor of 4^6 - 1? Answer Choice: (A) 13 (B) 17 (C) 19 (D) 23 (E) 29
Answer: A
The H.C.F. of two numbers is 10 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: Answer Choice: (A) 100 (B) 120 (C) 180 (D) 140 (E) 60
Answer: D
7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country. Answer Choice: (A) 200 (B) 300 (C) 400 (D) 450 (E) 560
Answer: C
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? Answer Choice: (A) 9.8 sec (B) 12.1 sec (C) 12.42 sec (D) 14.3 sec (E) 15.3 sec
Answer: B
Rahul went to a shop and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) Rs. 15 (B) Rs. 17 (C) Rs. 19.7 (D) Rs. 21 (E) Rs. 22
Answer: C
A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train. Answer Choice: (A) 144 kmph (B) 124 kmph (C) 134 kmph (D) 150 kmph (E) 160 kmph
Answer: A
Which of the following points falls outside of the region defined by 2y≤4x−12? Answer Choice: (A) (5, 1) (B) (3, -8) (C) (2, 0) (D) (1, -2) (E) (0, -14)
Answer: C
Day after tomorrow is my birthday. On the same day next week falls 'Holi'. Today is Monday. What will be the day after 'Holi'? Answer Choice: (A) Wednesday (B) Thursday (C) Friday (D) Saturday (E) None of these
Answer: B
Three candidates contested in an election and received 5136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get? Answer Choice: (A) 45% (B) 48% (C) 57% (D) 51% (E) 62%
Answer: B
A Father told his son, " I was as old as you are at present, at the time of your birth," if the father is 38 years old now, then what was the son age five years back? Answer Choice: (A) 14 years (B) 19 years (C) 38 years (D) 33 years (E) 37 years
Answer: A
The H.C.F. of two numbers is 30 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) 420 (D) 345 (E) 365
Answer: C
Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 150 different possibilities,what is the probability that she does not pick the one correct combination. Answer Choice: (A) 0.9625 (B) 159/160 (C) 157/160 (D) 3/160 (E) 0.8625
Answer: A
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time? Answer Choice: (A) 49 kmph (B) 45 kmph (C) 95 kmph (D) 75 kmph (E) 46 kmph
Answer: B
(935421 x 625) = ? Answer Choice: (A) 584638125 (B) 584638150 (C) 584638180 (D) 584638220 (E) 584638225
Answer: A
How long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 9km/hr? Answer Choice: (A) 80sec (B) 45sec (C) 1min (D) 32sec (E) 25sec
Answer: A
How many three letter words are formed using the letters of the word POLICE? Answer Choice: (A) 22 (B) 120 (C) 140 (D) 24 (E) 91
Answer: B
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 10% while selling. What is his percentage profit? Answer Choice: (A) 10.22% (B) 20.22% (C) 21.22% (D) 22.22% (E) Can't be calculated
Answer: D
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive R difference between n and m? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Answer: B
The cost of setting up a magazine is Rs. 2800. The cost of paper and ink etc is Rs. 80 per 100 copies and printing cost is Rs. 160 per 100 copies. In last month 2000 copies were printed but only 1500 copies could be sold at Rs. 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from magazine which is advertising. What sum of money obtained from the advertising in magazine? Answer Choice: (A) Rs. 1750 (B) Rs. 2350 (C) Rs. 1150 (D) Rs. 1975 (E) None of these
Answer: D
The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set? Answer Choice: (A) 38 to 55 (B) 38 to 54 (C) 48 to 54 (D) 80 to 54 (E) 38 to 60
Answer: B
Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 20 dollars. What is the cost of the gift? Answer Choice: (A) 48 (B) 54 (C) 60 (D) 55.2 (E) 72
Answer: D
A pharmaceutical company received $4 million in royalties on the first $24 million in sales of generic equivalent of one of its products and then $5 million in royalties on the next $60 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $24 million in sales to the next $60 million in sales? Answer Choice: (A) 10% (B) 20% (C) 25% (D) 30% (E) 35%
Answer: B
In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ? Answer Choice: (A) 1140 (B) 1440 (C) 1420 (D) 1460 (E) 1520
Answer: B
If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500? Answer Choice: (A) $3500 (B) $5000 (C) $4830 (D) $7000 (E) $10000
Answer: C
What will come in place of the x in the following Number series? 5,28,57,88,125 Answer Choice: (A) 123 (B) 155 (C) 166 (D) 178 (E) 190
Answer: C
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: Answer Choice: (A) 21 (B) 20 (C) 22 (D) 25 (E) 40
Answer: A
When n is divided by 24, the remainder is 4. What is the remainder when 3n is divided by 8? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
Let D represent a set of four distinct prime numbers. If the sum of the numbers in D is even and x is a member of D, then what is the least possible value that x can be? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 7
Answer: C
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day? Answer Choice: (A) 41 (B) 43 (C) 31 (D) 84 (E) 81
Answer: A
Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0 Answer Choice: (A) 11 Pi (B) 12 Pi (C) 13 Pi (D) 14 Pi (E) 15 Pi
Answer: B
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons? Answer Choice: (A) 210 (B) 220 (C) 230 (D) 240 (E) 250
Answer: A
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 7 rows or 9 rows, then no tree will be left. Find the least number of trees required Answer Choice: (A) 22 (B) 60 (C) 126 (D) 76 (E) 21
Answer: C
What will be the remainder of the following division:
(1234567....141516...20212223....404142)/43? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
It takes 6 tons of copper ore and 15 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore? Answer Choice: (A)  4 (B)  5 (C)  6 (D)  7 (E)  8
Answer: C
Two trains running opposite to each other with a speed of 60kph and 55kph having lengths of 180m and 200m respectively. How long it will take the trains to completely pass each other(in seconds)? Answer Choice: (A) 9.89 (B) 10.21 (C) 11.89 (D) 14.22 (E) 19.13
Answer: C
Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart? Answer Choice: (A) 8am (B) 10am (C) 11am (D) 12am (E) 14am
Answer: B
Which of the following options is equal to 2.71 x 10(power 7)? Answer Choice: (A) 27100000 (B) 27500000 (C) 27200000 (D) 21100000 (E) 17100000
Answer: A
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT Answer Choice: (A) 3x^3 (B) 9x/3 (C) 9x^2 (D) x(x+1)(x+2) (E) x-3
Answer: E
X, Y, W and Z are intezers and the expressing X - Y - Z is even and Y - W - Z is odd. If X is even then which of Answer Choice: (A) W must be odd (B) J must be odd (C) Y must be odd (D) Z must be odd (E) F must be odd
Answer: A
10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range R of the 10 numbers? Answer Choice: (A) 25 (B) 27 (C) 30 (D) 52 (E) 55
Answer: D
The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 30 Years (B) 31 Years (C) 32 Years (D) 34 Years (E) 25 Years
Answer: E
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business? Answer Choice: (A) 2400 (B) 2888 (C) 2766 (D) 91987 (E) 2121
Answer: A
A man want to buy 2 cars. If there are 10 cars that satisfy the man's criteria,in how many different ways can the man select the 2 cars if the order of selection doesn't matter. Answer Choice: (A) 54 (B) 120 (C) 32 (D) 210 (E) 45
Answer: E
In the youth summer village there are 200 people, 100 of them are not working,75 of them have families and 125 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) 125 (B) 150 (C) 100 (D) 130 (E) 140
Answer: C
There are nine leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ? Answer Choice: (A) 7 leopard and 3 sheep (B) 8 leopard and 1 sheep (C) 6 leopard and 4 sheep (D) 5 leopard and 1 sheep (E) 2 leopard and 5 sheep
Answer: B
Two whales are moving in the same direction at 60 kmph and 42 kmph. The faster whale manages to cross the other whale in 14 seconds. Find the length of the faster whale in meters. Answer Choice: (A) 110 m (B) 45 m (C) 70 m (D) 120 m (E) 113 m
Answer: C
There are 12 cans in the refrigerator. 8 of them are red and 4 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator. Answer Choice: (A) 460 (B) 490 (C) 493 (D) 455 (E) 424
Answer: E
Two numbers are respectively 20% and 25% more than a third number. So find the percentage that is first of the second is? Answer Choice: (A) 96 (B) 20 (C) 35 (D) 78 (E) 89
Answer: A
A, B and C invested Rs.6000, Rs.7200 and Rs.10800 respectively, in a partnership business. Find the share of C in profit of Rs.19000 after a year? Answer Choice: (A) 3630 (B) 5580 (C) 19000 (D) 8550 (E) 6000
Answer: D
There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl. Answer Choice: (A) 1 year (B) 1 years 2 months (C) 3 years 8 months (D) 4 years (E) None
Answer: C
One-third of 1206 is what percent of 162? Answer Choice: (A) 324.11 (B) 300.12 (C) 248.14 (D) None of these (E) cannot be determined
Answer: C
7th number in the series....
99,18,36,9,18 Answer Choice: (A) 17 (B) 18 (C) 19 (D) 20 (E) 21
Answer: B
Given 5^x, for any real integer of x, which of the following is a possible resultant? Answer Choice: (A) 15,620 (B) 15,652 (C) 15,623 (D) 15,653 (E) 15,625
Answer: E
If x = 1/8 and y = -1/2, what is the value of the expression -2x – y^2? Answer Choice: (A) -3/2 (B) -1/2 (C) 1 (D) 3/2 (E) 7/4
Answer: B
On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done? Answer Choice: (A) 2880 (B) 2778 (C) 2682 (D) 8222 (E) 6282
Answer: A
What is the value of m and n ?
if log3m/log3n=log 52 Answer Choice: (A) 1,5 (B) 2,5 (C) 3,5 (D) 4,5 (E) 2,3
Answer: B
In what ratio should a variety of oil costing Rs. 9 per ltr be mixed with another variety of oil costing Rs. 17.25 per ltr to obtain a mixture costing Rs. 11.75 per ltr? Answer Choice: (A) 4 : 1 (B) 1 : 3 (C) 3 : 1 (D) 1 : 2 (E) 2 : 1
Answer: E
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled? Answer Choice: (A) 2/5 (B) 3/5 (C) 3/10 (D) 7/20 (E) 11/20
Answer: B
A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform? Answer Choice: (A) 338 (B) 277 (C) 463 (D) 456 (E) 271
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 25 seconds, what is the ratio of their speeds? Answer Choice: (A) 1:3 (B) 4:1 (C) 2:3 (D) 3:2 (E) 3:4
Answer: B
If Jake loses 12 pounds, he will weigh twice as much as his sister. Together they now weigh 156 pounds. What is Jake’s present weight, in pounds? Answer Choice: (A) 108 (B) 135 (C) 139 (D) 147 (E) 188
Answer: A
If the speed of X meters per second is equivalent to the speed of Y meters per minute, what is Y in terms of X? (1 kilometer=1000 meters) Answer Choice: (A) 15x/18 (B) 6x/5 (C) 18x/5 (D) 600x (E) 60x
Answer: E
What is the greatest number of three digits which is divisible by 4, 8, 12 ? Answer Choice: (A) 989 (B) 999 (C) 978 (D) 972 (E) 984
Answer: E
Three-twentieths of the members of a social club are retirees who are also bridge players, eight-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club? Answer Choice: (A) 240 (B) 160 (C) 360 (D) 400 (E) 480
Answer: B
In how many ways can the letters D, I, G, I, T, K be arranged so that the two I's are not next to each other? Answer Choice: (A) 36 (B) 48 (C) 72 (D) 96 (E) 240
Answer: E
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40 Answer Choice: (A) 21 (B) 25 (C) 40 (D) 47 (E) 58
Answer: C
The contents of a certain box consist of 24 carrots and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be carrrots? Answer Choice: (A)  24 (B)  26 (C)  30 (D)  46 (E)  50
Answer: B
Convert the 12/43 m/s into kilometers per hour? Answer Choice: (A) 3.5 kmph. (B) 2.5 kmph. (C) 1 kmph. (D) 1.5 kmph. (E) 1.9 kmph.
Answer: C
How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2? Answer Choice: (A) 6 (B) 7 (C) 5 (D) 4 (E) 18
Answer: D
The average (arithmetic mean) of four distinct positive integers is 20. If the average of the smaller two of these four integers is 24, which of the following represents the maximum possible value of the largest integer? Answer Choice: (A) 8 (B) 16 (C) 36 (D) 20 (E) 1
Answer: C
If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day? Answer Choice: (A) 8 (B) 7 (C) 5 (D) 2.0 (E) 1
Answer: D
There are 4 sections with 6 questions each. If two questions are selected from each section, the chance of getting different questions is________ Answer Choice: (A) 225 (B) 245 (C) 300 (D) 240 (E) 289
Answer: A
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? Answer Choice: (A) 231 (B) 756 (C) 125 (D) 451 (E) 123
Answer: B
Which of the following is between 23/30 and 17/21? Answer Choice: (A) 1/3 (B) 3/8 (C) 1/2 (D) 5/8 (E) 7/9
Answer: E
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 40%? Answer Choice: (A) 600 (B) 887 (C) 256 (D) 654 (E) 700
Answer: E
The average of first six prime numbers which are between 50 and 90 is Answer Choice: (A) 35.4 (B) 42 (C) 45.7 (D) 64 (E) 67
Answer: D
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 7 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour? Answer Choice: (A) (a) 24/5 (B) (b) 5 (C) (c) 26/5 (D) (d) 84/13 (E) (e) 28/5
Answer: D
Two trains are moving at 85 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is? Answer Choice: (A) 5 25/31 sec (B) 7 1/17 sec (C) 7 2/2 sec (D) 8 1/2 sec (E) 7 1/9 sec
Answer: A
In how many ways a group of 5 male and 2 female be made out of a total of 7 male and 3 female? Answer Choice: (A) 55 (B) 78 (C) 63 (D) 89 (E) 98
Answer: C
The least number which when subtracted from both the terms of the ratio 4 : 5 to give a ratio less than 14 : 23, is Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 8 of them still work in AMS is ? Answer Choice: (A) 0.19 (B) 1.22 (C) 0.00363. (D) 0.16 (E) none of these
Answer: C
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk? Answer Choice: (A) 1:20 (B) 23:120 (C) 1:8 (D) 1:4 (E) 6:11
Answer: B
What is the largest 4 digit number exactly divisible by 88? Answer Choice: (A) 8844 (B) 9944 (C) 7744 (D) 6644 (E) 5544
Answer: B