loafeihong/math_mmlu_format huggingface dataset:
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 6 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A? Answer Choice: (A) 45 (B) 65 (C) 75 (D) 78 (E) 90
Answer: D
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Answer Choice: (A) 1/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) None of them
Answer: A
The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number? Answer Choice: (A) 47 (B) 45 (C) 25 (D) 37 (E) 44
Answer: B
[(5/2 ÷ 1/2 × 5/2)]/[(5/2 × 1/2 ÷ 5/2)] = ? Answer Choice: (A) 25 (B) 20 (C) 18 (D) 16 (E) 14
Answer: A
A man spent 1/5 of his loan amount on house construction and 1/4 of the remaining on his office renovation. How much fraction of the loan amount is he left with after spending on house and office renovation? Answer Choice: (A) 3/5 (B) 2/6 (C) 5/4 (D) 1/5 (E) 4/3
Answer: A
If a and b are different values and a – b = 6(√a - √b), then in terms of b, a equals: Answer Choice: (A) √b (B) b (C) b - 12√b + 36 (D) b + 2√b + 1 (E) b^2 – 2b√b + b
Answer: C
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 6 hours? Answer Choice: (A) 60X/Y. (B) 360X/Y. (C) 60Y/X. (D) 120Y/X. (E) (X + Y)/60.
Answer: B
The positive numbers w, x, y, and z are such that x is 30 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ? Answer Choice: (A) 15.2% (B) 16.0% (C) 20.0% (D) 23.2% (E) 24.8%
Answer: C
After three successive equal percentage rise in the salary the sum of 100 rupees turned into 140 rupees and 49 paise. Find the percentage rise in the salary. Answer Choice: (A) 12% (B) 22% (C) 66% (D) 82% (E) 77%
Answer: A
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit? Answer Choice: (A) 39:40 (B) 39:45 (C) 39:40 (D) 39:41 (E) 39:42
Answer: A
If x > 5 and y < -5, then which of the following must be true ? Answer Choice: (A) x/y > 1 (B) x/y < -1 (C) x/y < 0 (D) x + y > 0 (E) xy > 0
Answer: A
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.70 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Answer Choice: (A) $255 (B) $357 (C) $510 (D) $1,250 (E) $2,550
Answer: B
In a family 13 people eat only vegetarian, 7 people eat only non veg., 8 people eat both veg and non veg.. How many people eat veg in the family? Answer Choice: (A) 20 (B) 11 (C) 9 (D) 31 (E) 21
Answer: E
Average weight of 10 people increased by 2.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is Answer Choice: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70
Answer: E
If 10 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Answer Choice: (A) 127 (B) 237 (C) 360 (D) 450 (E) 281
Answer: C
8, 27, 64, 100, 125, 216, 343 Answer Choice: (A) 40 (B) 100 (C) 290 (D) 102 (E) 293
Answer: B
The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 24 per kg. The inflation rate for the years 1994 and 1995 are expected to be 20% each. The expected price of sugar on January 1, 1996 would be Answer Choice: (A) 23.6 (B) 36.45 (C) 35.72 (D) 24.6 (E) None of these
Answer: C
A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match Answer Choice: (A) 36 (B) 37 (C) 38 (D) 39 (E) 40
Answer: D
f(1)=1,where f(x+y)=f(x)+f(y)+8xy-2.then f(7)=? Answer Choice: (A) 162 (B) 163 (C) 164 (D) 165 (E) 166
Answer: B
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 35% lemonade syrup? Answer Choice: (A) 1.5 (B) 1.75 (C) 2.14 (D) 2.34 (E) 2.64
Answer: C
If Ajay completes a certain work in 8 days and Vijay can complete the same work in 24 days, find the time in which the work will be completed if both Ajay and Vijay work together. Answer Choice: (A) 6 days (B) 9 days (C) 2 days (D) 7 days (E) 1 days
Answer: A
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the afternoon? Answer Choice: (A) 180° (B) 154° (C) 160° (D) 170° (E) 150°
Answer: E
A password of a computer used five digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero? Answer Choice: (A) 1/32 (B) 1/16 (C) 1/8 (D) 2/5 (E) 1/2
Answer: A
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is Answer Choice: (A) 38 (B) 40 (C) 28 (D) 12 (E) 19
Answer: B
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? Answer Choice: (A) 33 1/4 % (B) 33 9/3 % (C) 33 1/3 % (D) 33 1/5 % (E) 33 1/3 %
Answer: C
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year? Answer Choice: (A) 3630 (B) 3617 (C) 3187 (D) 7288 (E) 2661
Answer: A
On my sister's birthday, she was 154 cm in height, having grown 10% since the year before. How tall was she the previous year? Answer Choice: (A) 150 cm (B) 140 cm (C) 142 cm (D) 148 cm (E) 146 cm
Answer: B
Triangle STV has sides ST = TV = 10, and SV = 12. What is the area? Answer Choice: (A) 36 (B) 40 (C) 44 (D) 48 (E) 52
Answer: D
A 240 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Answer Choice: (A) 260 (B) 250 (C) 240 (D) 230 (E) 220
Answer: A
I. a3 - 212 = 131,
II. b2 - 72 = -23 to solve both the equations to find the values of a and b? Answer Choice: (A) a > b (B) a ≥ b (C) a < b (D) a ≤ b (E) a = b or the relationship between a and b cannot be established.
Answer: B
Jennifer had $60 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket
to a museum, and 1/2 of it on a book. How much money does Jennifer have left over? Answer Choice: (A) $8 (B) $14 (C) $5 (D) $15 (E) $0
Answer: A
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made? Answer Choice: (A) 16.9 (B) 16.59 (C) 16.53 (D) 16.5 (E) 16.55
Answer: D
How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5, if no digits can repeat and the number must be divisible by 4? Answer Choice: (A) 36 (B) 48 (C) 72 (D) 96 (E) 144
Answer: E
By the how much is two-fifth of 100 greater than three -fifths of 25? Answer Choice: (A) 25 (B) 3 (C) 5 (D) 30 (E) None of these
Answer: A
If |x|/|4| > 1, which of the following must be true? Answer Choice: (A) x>4 (B) x<4 (C) x=4 (D) x!=4 (E) x<-4
Answer: D
A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of colors in a pair does not matter) Answer Choice: (A) 4 (B) 5 (C) 6 (D) 12 (E) 24
Answer: B
Which greatest possible length can be used to measure exactly 12 meter 15 cm, 10 meter 15 cm and 10 meter 65 cm Answer Choice: (A) 45cm (B) 25cm (C) 4cm (D) 5cm (E) 50cm
Answer: D
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 3 hours? Answer Choice: (A) 60X/Y. (B) 180X/Y. (C) 60Y/X. (D) 120Y/X. (E) (X + Y)/60.
Answer: B
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is? Answer Choice: (A) Rs. 759 (B) Rs. 792 (C) Rs. 818 (D) Rs. 828 (E) Rs. 838
Answer: D
The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added? Answer Choice: (A) 17 (B) 12 (C) 20 (D) 27 (E) 18
Answer: C
David's Bank's saving amount is decreased 10% due to loan payment and current balance is Rs.90000. Find the actual balance before deduction? Answer Choice: (A) 8000 (B) 8500 (C) 9000 (D) 9500 (E) 100000
Answer: E
Find the odd man out. 2, 3, 7, 11, 19, 32 Answer Choice: (A) 32 (B) 9 (C) 1 (D) 3 (E) 19
Answer: A
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet? Answer Choice: (A) 276 (B) 271 (C) 200 (D) 278 (E) 268
Answer: C
Find value of X: (422+404)^2−(4×422×404)=X. Answer Choice: (A) 234 (B) 267 (C) 324 (D) 356 (E) 577
Answer: C
What is 30 % of 80? Answer Choice: (A) 24 (B) 66 (C) 367 (D) 28 (E) 267
Answer: A
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order? Answer Choice: (A) 3 : 1 (B) 4:1 (C) 5:1 (D) None of these (E) Cannot be determined
Answer: A
The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 50%? Answer Choice: (A) 3 (B) 5 (C) 7 (D) 8 (E) 6
Answer: A
The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is Answer Choice: (A) 15 m (B) 22.5 m (C) 25 m (D) 30 m (E) None
Answer: C
Find the L.C.M of 12, 8, 24 and 16. Answer Choice: (A) 48 (B) 96 (C) 80 (D) 44 (E) 140
Answer: A
The Banker’s gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is: Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) None
Answer: C
A train covers a distance in 1 h 40 min, if it runs at a speed of 96 km/h on an average. Find the speed at which the train must run reduce the time of journey to 1 h 20 min. Answer Choice: (A) 120 km/h (B) 90 km/h (C) 144 km/h (D) 150 km/h (E) 160 km/h
Answer: A
A tortoise is making its way to eat a piece of lettuce at a constant speed. On its way to the lettuce, it takes 10 seconds to walk past a grain of sand. It then passes a piece of wood 20 cm long in 30 seconds to get to the lettuce. What is the length of the tortoise? Answer Choice: (A) 4 cm (B) 5 cm (C) 7.5 cm (D) 9 cm (E) 10 cm
Answer: E
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie
II. Regine,Brian
III.Regine Answer Choice: (A) I only (B) II only (C) III only (D) I or II only (E) I, or III only
Answer: E
Graph G has a line of symmetry of x = –1. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3? Answer Choice: (A)  –8 (B)  –7 (C)  –5 (D)  –4 (E)  2
Answer: C
A certain tax rate is $.32 per $100.00. What is the rate, expressed as a percent? Answer Choice: (A) 32% (B) 3.2% (C) 0.82% (D) 0.032% (E) 0.32%
Answer: E
If a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21, what is the range of a/b? Answer Choice: (A) 52/45 (B) 23/47 (C) 60/41 (D) 51/42 (E) 41/60
Answer: E
A man swims downstream 48 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choice: (A) 2 (B) 8 (C) 9 (D) 11 (E) 14
Answer: D
A shopkeeper sold some articles @ 35 per article and earned a profit of 40%. At what price each article should have been sold so that 60% profit was earned? Answer Choice: (A) 25 (B) 29 (C) 30 (D) 40 (E) 45
Answer: D
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 7 inches. Two pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ? Answer Choice: (A)  5 (B)  15 (C)  24 (D)  32 (E)  120
Answer: B
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 42, what is the possible maximum range of the temperatures? Answer Choice: (A) 20 (B) 25 (C) 40 (D) 45 (E) 86
Answer: E
What is the place value of 7 in the numeral 55468? Answer Choice: (A) 5 (B) 50 (C) 5000 (D) 55 (E) 500
Answer: C
The temperatures in degrees Celsius recorded at a certain specific point in the evening in various parts of a country were 10°, 5°, -2°, -1°, -5°, 15°. What is the median of these temperatures? Answer Choice: (A) -2°C (B) -1°C (C) 2°C (D) 3°C (E) 5°C
Answer: C
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ? Answer Choice: (A) 1/8 (B) 1/2 (C) 1/5 (D) 1/5 (E) 1/3
Answer: C
what is the sum of the first 18 odd natural numbers Answer Choice: (A) 300 (B) 400 (C) 500 (D) 324 (E) 700
Answer: D
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? . Answer Choice: (A) Emptied; 16 mins (B) Filled; 8 mins (C) Emptied; 12 mins (D) Filled; 12 mins (E) None of These
Answer: E
A person want to give his money of $4500 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share? Answer Choice: (A) $2000 (B) $1500 (C) $2500 (D) $1800 (E) $1600
Answer: B
Scott's average (arithmetic mean) golf score on his first four rounds was 38.What score does he need on his fifth round to drop his average score by 2 points? Answer Choice: (A) 68 (B) 28 (C) 78 (D) 88 (E) 312
Answer: B
What is the units digit of 18! + 7 ? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Answer: D
Without stoppages a train travels a certain distance with an average speed of 80 km/h and with stoppages with an average speed speed of 60 km/h. How many minutes per hour does the train stops ? Answer Choice: (A) 25 min (B) 10 min (C) 18 min (D) 15 min (E) 20 min
Answer: D
4,25,121,289,? Answer Choice: (A) 345 (B) 445 (C) 515 (D) 529 (E) 645
Answer: D
Half of 7 percent written as decimal is Answer Choice: (A) 5 (B) 0.5 (C) 0.025 (D) 0.035 (E) None of these
Answer: D
There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are blue balls? Answer Choice: (A) 1/18 (B) 1/24 (C) 1/30 (D) 1/36 (E) 1/48
Answer: C
The sum of money will be double itself in 20years and simple interest find rate of interest? Answer Choice: (A) 10% (B) 5% (C) 15% (D) 20% (E) 25%
Answer: B
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Answer Choice: (A) 2.98 (B) 2.88 (C) 2.82 (D) 2.86 (E) 2.81
Answer: B
P, Q and R have Rs.4000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R? Answer Choice: (A) Rs.3000 (B) Rs.1600 (C) Rs.2400 (D) Rs.4000 (E) None of these
Answer: B
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.9, what is the probability that Malachi will return home at the end of the day on the following Monday? Answer Choice: (A) 0.009 (B) 0.128 (C) 0.488 (D) 0.512 (E) 0.64
Answer: A
What is the value of 3x^2 − 1.6x + 0.3 for x = 0.8? Answer Choice: (A) −0.3 (B) 0 (C) 0.3 (D) 0.94 (E) 2.46
Answer: D
A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list? Answer Choice: (A) 1/20 (B) 1/6 (C) 1/11 (D) 4/21 (E) 5/21
Answer: C
A = {2, 3, 5, 7, 19}
B = {2, 4, 6, 13}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained? Answer Choice: (A) 32 (B) 16 (C) 19 (D) 20 (E) 36
Answer: A
A person purchased a TV set for Rs. 1600 and a DVD player for Rs. 700 . He sold both the items together for Rs. 3500. What percentage of profit did he make? Answer Choice: (A) 20.12% (B) 96.21% (C) 52.17% (D) 75.01% (E) 23.00%
Answer: C
Find three consecutive odd integers so that the sum of twice the first, the second
and three times the third is 152. Answer Choice: (A) 20,23,25 (B) 23,25,27 (C) 25,28,31 (D) 30,33,35 (E) 29,31,35
Answer: B
A girl borrows 65000 for 5 years at 5% p.a. simple interest. she immediately lends it to another person at 9 % p.a. for 5 years. Find her gain in the transaction per year. Answer Choice: (A) 2600 (B) 2500 (C) 2550 (D) 2650 (E) 3600
Answer: A
A man walks from B to C, a distance of x miles, at 15 miles per hour and returns at 12 miles per hour. What is his average speed? Answer Choice: (A) 10 mph (B) 13 mph (C) 12 mph (D) 13.3 mph (E) 14 mph
Answer: D
The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds? Answer Choice: (A) 4 (B) 9 (C) 15 (D) 48 (E) 33
Answer: E
Johnny borrows $30,000 from Tony at 2% daily interest compounded daily. How much does Johnny owe Tony after 8 weeks? Answer Choice: (A) 30000*0.02^56 (B) 30000*1.12 (C) 30000*2.12 (D) 30000*1.02^56 (E) (30000*1.02)^56
Answer: D
A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ? Answer Choice: (A) 150 m (B) 200 m (C) 125 m (D) 115 m (E) None
Answer: A
At what rate percent per annum will a sum of money double in 16years? Answer Choice: (A) 10.6% (B) 3.65% (C) 6.25% (D) 8.32% (E) 11%
Answer: C
The organizers of a week-long fair have hired exactly six security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards will be available to patrol the fairgrounds on the following Saturday night? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 3 (E) 2
Answer: B
The sum of even numbers between 1 and 31 is: Answer Choice: (A) 240 (B) 789 (C) 520 (D) 879 (E) 456
Answer: A
The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length W of a cube whose surface area is equal to 6z? Answer Choice: (A) W=16 (B) W=8√2 (C) W=8 (D) W=2√2 (E) (√2)/3
Answer: D
In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female? Answer Choice: (A) 1/20 (B) 1/10 (C) 1/5 (D) 2/5 (E) 3/4
Answer: D
The ratio between the speeds of two trains is 5: 7. If the second train runs 840 kms in 6 hours, then the speed of the first train is ? Answer Choice: (A) 90 km/hr (B) 120 km/hr (C) 100 km/hr (D) 110 km/hr (E) None of these
Answer: C
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel? Answer Choice: (A) 100 (B) 114 (C) 126 (D) 154 (E) 157
Answer: C
Excluding the stoppages, the speed of a bus is 32 km/hr and including the stoppages the speed of the bus is 16 km/hr. For how many minutes does the bus stop per hour? Answer Choice: (A) 15 min (B) 10 min (C) 12 min (D) 30 min (E) 18 min
Answer: D
From the given equation find the value of c: cÂ²-3c-10 Answer Choice: (A) 1 (B) 3 (C) 5 (D) 2 (E) -5
Answer: C
Walking at 5/6th of its usual speed a cab is 5mnts late. Find its usual time to cover the journey? Answer Choice: (A) 25m (B) 45m (C) 32m (D) 50m (E) 62m
Answer: A
A fair coin is tossed repeatedly. If heads appears on first 6 tosses what is the probability that tail appears on the next two tosses? Answer Choice: (A) 1/6 (B) 1/5 (C) 1/3 (D) 1/4 (E) 1/6
Answer: D
A and B go around a circular track of length 600 m on a cycle at speeds of 18 kmph and 48 kmph. After how much time will they meet for the first time at the starting point? Answer Choice: (A) 120 sec (B) 176 sec (C) 360 sec (D) 187 sec (E) 189 sec
Answer: C
If 6 and 8 are factors of 60n, what is the minimum value of n? Answer Choice: (A)  2 (B)  4 (C)  7 (D)  14 (E)  56
Answer: B
How many 3-digit numerals begin with a digit that represents a prime and end with a digit that represents a odd prime number? Answer Choice: (A) 16 (B) 120 (C) 160 (D) 180 (E) 240
Answer: B
If a - b = 6 and a2 + b2 = 50, find the value of ab. Answer Choice: (A) A)7 (B) B)12 (C) C)15 (D) D)18 (E) E)20
Answer: A
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'S', then how many triangles can be determined with the 15 points that contain the point S? Answer Choice: (A) 91 (B) 105 (C) 182 (D) 210 (E) 455
Answer: C
If a:b=5:6 and b:c=2:3 find a:b:c? Answer Choice: (A) 6:5:9 (B) 5:9:3 (C) 9:5:6 (D) 5:9:6 (E) 5:6:9
Answer: E
A train running at the speed of 50 km/hr crosses a post in 4 seconds. What is the length of the train? Answer Choice: (A) 90 (B) 120 (C) 60 (D) 95 (E) 75
Answer: C
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Answer Choice: (A) 8 days (B) 10 days (C) 15 days (D) 11 3/7 days (E) None of these
Answer: D
If log 2 = 0.30103, the number of digits in 520 is Answer Choice: (A) 14 (B) 16 (C) 18 (D) 25 (E) 26
Answer: A
60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? Answer Choice: (A) 80 litres (B) 90 litres (C) 120 litres (D) 170 litres (E) None of these
Answer: C
If 2^z is a factor of 26!, which of the following could be the value of z?
I. 22
II. 23
III. 24 Answer Choice: (A) I ​ only (B) II only (C) I​ and II (D) I, II, and III (E) None
Answer: C
Find the missing number
5 : 24 :: 8 : ? Answer Choice: (A) 61 (B) 62 (C) 63 (D) 64 (E) 65
Answer: C
What should be the least number to be added to the 3198 number to make it divisible by 8? Answer Choice: (A) 12 (B) 17 (C) 2 (D) 77 (E) 26
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 292 runs? Answer Choice: (A) 6.5 (B) 6.22 (C) 6.29 (D) 6.39 (E) 6.13
Answer: A