loafeihong/math_mmlu_format huggingface dataset:
The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 752 (B) 799 (C) 300 (D) 750 (E) 712
Answer: C
The operation # is defined for all nonzero f and y by f#y = f + f/y. If a>0, then 1#(1#a) = Answer Choice: (A) a (B) a+1 (C) a/(a+1) (D) (a+2)/(a+1) (E) (2a+1)/(a+1)
Answer: E
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 10 months, find for how much time did Q invest the money? Answer Choice: (A) 11 (B) 10 (C) 20 (D) 16 (E) 12
Answer: C
In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Answer Choice: (A) 1.2 cm (B) 2.4 cm (C) 4.8 cm (D) 2.16 cm (E) 3.2 cm
Answer: E
Insert the missing number
..., 4, 8, 16, 32, 64, 128, 256 Answer Choice: (A) 6 (B) 5 (C) 2 (D) 3 (E) 8
Answer: C
20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is : Answer Choice: (A) 33.33 (B) 34.01 (C) 26.32 (D) 28.33 (E) 19.21
Answer: D
Mixture V is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture V, how many kilograms of mixture V must be added to make a 70% material B in the new mixture? Answer Choice: (A) A)6 (B) B)7 (C) C)8 (D) D)9 (E) E)10
Answer: A
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers? Answer Choice: (A) 12, 9 (B) 10, 5 (C) 12, 7 (D) 11, 6 (E) 14, 3
Answer: C
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? Answer Choice: (A) 5 : 1 (B) 10 : 5 (C) 15 : 2 (D) 20 : 2 (E) 25 : 2
Answer: E
What is the next number of the following sequence
1,3,4,5,1,9,16... Answer Choice: (A) 14 (B) 25 (C) 16 (D) 17 (E) 18
Answer: B
If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean? Answer Choice: (A) 12.0 (B) 13.5 (C) 14.5 (D) 23.5 (E) 26.5
Answer: C
It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn Answer Choice: (A) 16 (B) 90 (C) 36 (D) 45 (E) 20
Answer: E
If x≠2 and (x^2 - 4)/(2y) = (x - 2)/4, then in terms of y, x = ? Answer Choice: (A) (y - 6)/2 (B) (y - 3)/2 (C) (y - 4)/2 (D) y - 6 (E) (y + 6)/2
Answer: C
A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent? Answer Choice: (A) 7.6 % (B) 7.7 % (C) 16.21 % (D) 13.6 % (E) 7.8 %
Answer: C
A motorist travel to a place 150 km away at an average speed of 60 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is Answer Choice: (A) 36 km/hr (B) 37 km/hr (C) 40 km/hr (D) 44 km/hr (E) None of these
Answer: C
Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh? Answer Choice: (A) 50 lb (B) 80 pounds (C) 90 pounds (D) 100 pounds (E) 60 pounds
Answer: A
A room of 6m 20cm long and 5m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. Answer Choice: (A) 88900 (B) 87700 (C) 88970 (D) 88000 (E) 89000
Answer: C
John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order? Answer Choice: (A) 22 (B) 31 (C) 43 (D) 37 (E) 38
Answer: B
A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 5 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase? Answer Choice: (A) 22 (B) 28 (C) 77 (D) 99 (E) 351
Answer: E
A car covers a distance of 630 km in 6 ½ hours. Find its speed? Answer Choice: (A) 105 kmph (B) 176 kmph (C) 298 kmph (D) 186 kmph (E) 268 kmph
Answer: A
What will be the compound interest on Rs. 35000 after 3 years at the rate of 12 % per annum Answer Choice: (A) Rs 13123.20 (B) Rs 14103.48 (C) Rs 12172.48 (D) Rs 14172.48 (E) None of these
Answer: D
If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars? Answer Choice: (A) Y*2/x (B) Y*2.6/x (C) 2Y*2.5/x (D) Y*2.5/x (E) 3Y*2.5/x
Answer: D
root X+3=X root X+3 how many solution??? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
If xy=25, x/y=36, for positive numbers x and y, y=? Answer Choice: (A) 1/2 (B) 2 (C) 1/3 (D) 3 (E) 5/6
Answer: E
Find the middle one when The sum of three consecutive even numbers is 36? Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 19
Answer: B
Five kids were sharing out a box of candies. Amar took one-third, Babu took one-quarter,Chetan took one-fifth, and Dinakar took one-sixth. That left six candies as Shiva's share. Howmany candies were altogether? Answer Choice: (A) 100 (B) 120 (C) 140 (D) 160 (E) 180
Answer: B
Suresh borrowed some money at the rate of 12% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow? Answer Choice: (A) s.8500 (B) s.6000 (C) s.6800 (D) s.9000 (E) s.7000
Answer: C
a batmans runs just before the last match of the season adds up750 in his last two innings his scores only 6 scores and his avg drop by 2 fond his final avg of the season? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: C
What is the sum of the different positive prime factors of 880? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 18 (E) 21
Answer: D
There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number? Answer Choice: (A) 25 (B) 26 (C) 30 (D) 24 (E) 28
Answer: E
If x is divisible by 3 and 4, which of the following must divide evenly into x?
I. 2
II. 38
III. 41 Answer Choice: (A) I only (B) I and II (C) II​ and III (D) II​ only (E) I, II, and III
Answer: A
X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race? Answer Choice: (A) 112.2m (B) 216.3m (C) 111.12m (D) 213.27m (E) 222.40m
Answer: C
Find the smallest number of 6 digits which is exactly divisible by 111. Answer Choice: (A) 100011 (B) 111111 (C) 101111 (D) 201111 (E) 211111
Answer: A
What is the product of all the possible values of x if x^2+5x+6? Answer Choice: (A) 12 (B) 18 (C) 15 (D) 6 (E) 9
Answer: D
A goods bullet train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds. What is the length of the goods bullet train? Answer Choice: (A) 220m (B) 250m (C) 280m (D) 210m (E) 270m
Answer: E
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive Answer Choice: (A) 233 (B) 381 (C) 900 (D) 287 (E) 271
Answer: C
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days? Answer Choice: (A) 21 ½ days (B) 22 ½ days (C) 23 ½ days (D) 12 ½ days (E) None of these
Answer: B
the average weight of four pigs is 15 kg.weight less than 16 kg is considered as under weight.what maximum no. of pig can be under weight. Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
Which of the following must be non-negative? Answer Choice: (A) (a-0.9)(a-1) (B) (a+1)(a-1) (C) (a+0.9)(a+1) (D) (a-0.9)(a-0.9) (E) a(a+1)
Answer: D
There are 10 baskets numbered from 1 to 10 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end? Answer Choice: (A) 330 (B) 390 (C) 450 (D) 510 (E) 570
Answer: C
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM? Answer Choice: (A) 9 kmph (B) 10 kmph (C) 12 kmph (D) 14 kmph (E) 16 kmph
Answer: C
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day? Answer Choice: (A) 10 (B) 12 (C) 8 (D) 15 (E) 16
Answer: B
If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 < 0
III	2n - 1 < 0 Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) none
Answer: B
A certain junior class has 1000 students and a certain senior class has 900 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair? Answer Choice: (A) 3/40000 (B) 2/30000 (C) 9/2000 (D) 1/60 (E) 1/15
Answer: B
What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break? Answer Choice: (A)  1/ 225 (B)  1 / 30 (C)  1 /15 (D)  2 / 15 (E)  4 /15
Answer: D
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent? Answer Choice: (A) 11% (B) 11 2/9% (C) 11 1/9% (D) 10% (E) 9%
Answer: C
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, ?, 1 Answer Choice: (A) 1 (B) 2 (C) 5 (D) 7 (E) 9
Answer: B
The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time? Answer Choice: (A) 5 months (B) 6 months (C) 7 months (D) 8 months (E) 4 months
Answer: E
When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 8x is divided by 9? Answer Choice: (A) 0 (B) 1 (C) 3 (D) 4 (E) 6
Answer: D
In how many ways Chief Minister and Minister be elected from a team of 12 members? Answer Choice: (A) 128 (B) 131 (C) 132 (D) 143 (E) 145
Answer: C
Pipe A can fill a tank in 10 hours. Due to a leak at the bottom, it takes 15 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Answer Choice: (A) 76 (B) 84 (C) 56 (D) 75 (E) 30
Answer: E
If 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days? Answer Choice: (A) 320 (B) 240 (C) 369 (D) 489 (E) 125
Answer: A
Excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 5 (B) 4.15 (C) 4.25 (D) 5.5 (E) None of these
Answer: B
A retailer bought a machine at a wholesale price of $117 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine? Answer Choice: (A) 81 (B) 100 (C) 120 (D) 135 (E) 159
Answer: E
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 10% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales? Answer Choice: (A) $15,840 (B) $17,820 (C) $18,000 (D) $19,800 (E) $18,810
Answer: E
The denominator of a fraction is 15 greater than the numerator. If the numerator and the denominator are increased by 3, the resulting fraction is equal to 3â„4. What is the value of the original fraction? Answer Choice: (A) 23/38 (B) 29/44 (C) 33/48 (D) 38/53 (E) 42/57
Answer: E
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Answer Choice: (A) 12 (B) 42 (C) 62 (D) 20 (E) 87
Answer: D
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is Answer Choice: (A) 45 kg (B) 50 kg (C) 53 kg (D) 55 kg (E) None
Answer: A
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1700. The difference between the profit shares of A and C is? Answer Choice: (A) 288 (B) 266 (C) 155 (D) 680 (E) 441
Answer: D
A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is Answer Choice: (A) 7000 (B) 8000 (C) 9000 (D) 10000 (E) None of these
Answer: C
How much is 80% of 40 is greater than 4/5 of 15? Answer Choice: (A) 12 (B) 20 (C) 18 (D) 12 (E) 81
Answer: B
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 3? Answer Choice: (A) 1/8. (B) 1/2. (C) 1/5. (D) 3/8. (E) 1/3.
Answer: A
An inspector rejects 0.06% of the meters as defective. How many will he examine to reject 2? Answer Choice: (A) A)1500 (B) B)2000 (C) C)2500 (D) D)3000 (E) E)3333
Answer: E
A boat running upstream takes 640 min to cover a certain distance, while it takes 280 min to cover the same distance running down stream. What is the ratio between the speed of the boat and speed of water current respectively? Answer Choice: (A) 23: 7 (B) 22: 9 (C) 23: 8 (D) 23: 9 (E) 23: 11
Answer: D
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 78 runs, thereby increasing his average by 6 runs. His new average is Answer Choice: (A) 18 runs (B) 28 runs (C) 48 runs (D) 42 runs (E) 46 runs
Answer: A
What is the greatest value of positive integer x such that 2^x is a factor of 100^90? Answer Choice: (A) 180 (B) 160 (C) 140 (D) 150 (E) 120
Answer: A
For dinner, Cara ate 240 grams of bread which was eight times as much bread as she ate for lunch, and six times as much bread as she ate for breakfast. How much bread did Cara eat in total? Answer Choice: (A) 300 (B) 310 (C) 320 (D) 330 (E) 340
Answer: B
Solution X contains 20% of material A and 80% of material B. Solution Y contains 30% of material A and 70% of material B. A mixture of both these solutions contains 22% of material A in the final product. how much solution X is present in the mixture? Answer Choice: (A) 40% (B) 60% (C) 80% (D) 100% (E) 110%
Answer: C
A number of two digits has 3 for its unit’s digit, and the sum of digits is 1/7 of the number itself. The number is Answer Choice: (A) 43 (B) 63 (C) 73 (D) 53 (E) 83
Answer: B
A can do a job in 5 days and B can do it in 15 days. A and B working together will finish twice the amount of work in ------- days? Answer Choice: (A) 21 ½ days (B) 22 ½ days (C) 23 ½ days (D) 12 ½ days (E) 7 ½ days
Answer: E
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°.
If the number of convex corners in such a polygon is 25, the number of concave corners must be Answer Choice: (A) 20 (B) 10 (C) 21 (D) 22 (E) 23
Answer: C
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 1.7 (B) 1.4 (C) 1.1 (D) 1.5 (E) 1.2
Answer: D
For any positive integer n, n>1, the "length" of n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000. Answer Choice: (A) 10 (B) 9 (C) 8 (D) 7 (E) 6
Answer: B
A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
The number 49 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answer Choice: (A) 11 (B) 16 (C) 15 (D) 14 (E) 13
Answer: A
From the set of numbers {t, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x) Answer Choice: (A) 8 (B) 15 (C) 16 (D) 31 (E) 32
Answer: D
Two goods trains each 720 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 22 sec (B) 88 sec (C) 48 sec (D) 18 sec (E) 72 sec
Answer: E
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work? Answer Choice: (A) 4 days (B) 2 days (C) 6 days (D) 8 days (E) 9 days
Answer: C
325^325/125^n Answer Choice: (A) 64 (B) 216 (C) 343 (D) 481 (E) 625
Answer: B
An amount of Rs.1,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P? Answer Choice: (A) 2378 (B) 2697 (C) 250 (D) 5000 (E) 6971
Answer: C
The sum of first 45 natural numbers is? Answer Choice: (A) 900 (B) 1000 (C) 1035 (D) 1040 (E) 1045
Answer: C
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze? Answer Choice: (A) 1218 (B) 1219 (C) 1210 (D) 1211 (E) 1212
Answer: C
A bus can hold 72 passengers. If there are 12 rows of seats on the bus, how many seats are in each row? Answer Choice: (A) 4 (B) 8 (C) 10 (D) 6 (E) 12
Answer: D
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 36% of the boys and 32% of the girls passed, then the total percentage of failed candidates is? Answer Choice: (A) 35.67% (B) 65.80% (C) 68.57% (D) 69.57% (E) none of these
Answer: B
For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 191? Answer Choice: (A) 4450 (B) 5560 (C) 6670 (D) 7780 (E) 8890
Answer: C
If s is a number such that –2 ≤ s ≤ 2, which of the following has the largest possible absolute value? Answer Choice: (A) 3s – 1 (B) x^2 + 1 (C) 3 – x (D) x – 3 (E) x^2 – x
Answer: A
Each child has 4 pencils and 13 Skittles. If there are 8 children, how many pencils are there in total? Answer Choice: (A) 16 (B) 12 (C) 18 (D) 22 (E) 32
Answer: E
A portion of the 80% solution of chemicals was replaced with an equal amount of 20% solution of chemicals. As a result, 50% solution of chemicals resulted. What part of the original solution was replaced? Answer Choice: (A) 1/3 (B) 1/2 (C) 1/4 (D) 1/5 (E) 1/6
Answer: B
Replace the question mark with the correct number in the series
60 40 40 43 20 46 0 49 ? Answer Choice: (A) -20 (B) 50 (C) 40 (D) -10 (E) -30
Answer: A
108.	Triangle A’s base is 9% greater than the base of triangle B, and A’s height is 9% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B? Answer Choice: (A)  9 % less (B)  1 % less (C)  Equal to each other (D)  1.3 % more (E)  9 % more
Answer: D
Find the missing in the series: 70, 56, 45, 41,___ Answer Choice: (A) 22 (B) 287 (C) 2679 (D) 276 (E) 2771
Answer: D
If S and T are positive integers, and the remainder obtained when S is divided by T is the same as the remainder obtained when T is divided by S, which of the following is a possible value of ST? Answer Choice: (A)  64 (B)  55 (C)  42 (D)  36 (E)  24
Answer: A
All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Who is the mother of B ? Answer Choice: (A) C (B) V (C) R (D) A (E) T
Answer: D
A cubical block of metal weighs 3 pounds. How much will another cube of the same metal weigh if its sides are twice as long? Answer Choice: (A) 48 (B) 32 (C) 24 (D) 18 (E) 12
Answer: C
If a, b, t are integers, 33 = abt, and a < b < t, what is the smallest possible value of a? Answer Choice: (A) -33 (B) -3 (C) 1 (D) 3 (E) 11
Answer: A
For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value. Answer Choice: (A) 9 (B) 18 (C) 27 (D) 36 (E) 45
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ? Answer Choice: (A) 1 : 1 (B) 2 : 1 (C) 2 : 3 (D) 3 : 2 (E) 1 : 2
Answer: D
The ratio between the speeds of two trains is 5: 6 If the second train runs 540 kms in 6 hours, then the speed of the first train is Answer Choice: (A) 90 km/h (B) 60 km/h (C) 45 km/h (D) 80 km/h (E) 75km/h
Answer: E
If -1 < h < 3, which of the following has the greatest value? Answer Choice: (A) a) 1-h (B) b) 1+h (C) c) 1+h^2 (D) d) 1-1/h (E) e) 1-1/(h^2)
Answer: B
A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up? Answer Choice: (A) 7.5 (B) 12.5 (C) 17.5 (D) 22.5 (E) 27.5
Answer: C
A bag holds 4 red marbles and 4 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red? Answer Choice: (A) 1/7 (B) 1/5 (C) 3/14 (D) 2/7 (E) 1/2
Answer: C
If goods be purchased for $840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction? Answer Choice: (A) 35 1/3% (B) 30 2/3% (C) 33 1/3% (D) 38 1/2% (E) 40 1/3%
Answer: C
Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after? Answer Choice: (A) 7 min (B) 9 min (C) 4 min (D) 9 min (E) 1 min
Answer: B
A 9% stock yields 8%.The market value of the stock is : Answer Choice: (A) Rs. 72 (B) Rs. 92 (C) Rs. 112.50 (D) Rs. 116.50 (E) None of these
Answer: C
A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour? Answer Choice: (A) 38 (B) 47 (C) 50 (D) 53 (E) 62
Answer: D
There is a 10% chance that Tigers will not win at all during the whole season. There is a 10% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season? Answer Choice: (A) A)55% (B) B)60% (C) C)70% (D) D)72% (E) E)90%
Answer: E
A man whose speed is 6 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Answer Choice: (A) 7 (B) 5.6 (C) 6 (D) 9 (E) 3
Answer: B
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in? Answer Choice: (A) 8 (B) 4 (C) 6 (D) 12 (E) 10
Answer: A