loafeihong/math_mmlu_format huggingface dataset:
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? Answer Choice: (A) 2000 (B) 3000 (C) 4000 (D) 5000 (E) 6000
Answer: C
Express the ratio 3 2/3 : 7 1/3 in its simplest form. Answer Choice: (A) 1:21 (B) 1:1 (C) 2:1 (D) 1:2 (E) 2:11
Answer: D
If k is a positive integer, which of the following must be divisible by 27? Answer Choice: (A)  (k – 4)(k)(k + 3)(k + 7) (B)  (k – 4)(k – 2)(k + 3)(k + 5) (C)  (k – 2)(k + 3)(k + 5)(k + 6) (D)  (k + 1)(k + 3)(k + 5)(k + 7) (E)  (k – 3)(k + 1)(k + 4)(k + 6)
Answer: E
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 2.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is? Answer Choice: (A) 99 (B) 277 (C) 84 (D) 96 (E) 22
Answer: C
What is the unit digit in {(6374)1793 x (625)317 x (341491)}? Answer Choice: (A) 0 (B) 2 (C) 3 (D) 5 (E) 7
Answer: A
Last year a worker saved 10% of her annual salary. This year, she made 10% more money than last year and she saved 12% of her salary. The amount she saved this year was what percent of the amount she saved last year? Answer Choice: (A) 126% (B) 128% (C) 130% (D) 132% (E) 134%
Answer: D
Today is Thursday. The day after 59 days will be? Answer Choice: (A) Monday (B) Tuesday (C) Saturday (D) Sunday (E) None of these
Answer: D
Father is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Answer Choice: (A) 20 years (B) 21 years (C) 22 years (D) 28 years (E) 25 years
Answer: C
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 24. What is half of that number? Answer Choice: (A) 670 (B) 750 (C) 945 (D) 375 (E) 315
Answer: C
If pq > 0, which of the following must be negative? Answer Choice: (A) p/q (B) -p/q (C) -p/-q (D) -p * -q (E) pq
Answer: B
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Answer Choice: (A) 143530 m (B) 145600 m (C) 153600 m (D) 134500 m (E) 155600 m
Answer: C
A can give B 150 meters start and C 300 meters start in a kilometer race. How much start can B give C in a kilometer race? Answer Choice: (A) 111.12 (B) 111.67 (C) 111.64 (D) 111.11 (E) 176.47
Answer: E
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number? Answer Choice: (A) (2^96 + 1) (B) (2^16 + 1) (C) (2^95 + 1) (D) (2^95 - 1) (E) (2^75 + 1)
Answer: A
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years? Answer Choice: (A) 14000 (B) 14400 (C) 14500 (D) 14600 (E) 14700
Answer: B
A=√[2√63 + 2/(8+3√7)] = Answer Choice: (A) 8 + 3√7 (B) 4 + 3√7 (C) 8 (D) 4 (E) √7
Answer: D
A train 100 m long crosses a platform 180 m long in 14 sec; find the speed of the train? Answer Choice: (A) 72 kmph (B) 58 kmph (C) 54 kmph (D) 94 kmph (E) 59 kmph
Answer: A
As x increases from 169 to 155, which of the following must increase?
I. 2x - 5
II. 1 - 1/x
III. 1/(x^2 - x) Answer Choice: (A)  I only (B)  III only (C)  I and II (D)  I and III (E)  II and III
Answer: B
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money? Answer Choice: (A) 1500 (B) 1528 (C) 1298 (D) 1528 (E) 1282
Answer: A
Suppose you flip a fair coin five times. What is the probability that, in five flips, you get at least one head? Answer Choice: (A) 27/32 (B) 25/32 (C) 17/32 (D) 15/32 (E) 31/32
Answer: E
What is the number of 7-element subsets of the set {1, 2, 3, 4, 5, 6, 7, 8, 9}
for which the sum of those 7 elements is a multiple of 3 ? Answer Choice: (A) 10 (B) 11 (C) 12 number (D) 13 (E) 14
Answer: C
A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent? Answer Choice: (A) 11% (B) 25% (C) 29% (D) 55% (E) 45%
Answer: A
A bag holds 2 blue marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be blue? Answer Choice: (A) 1/12 (B) 1/10 (C) 3/10 (D) 2/5 (E) 1/2
Answer: B
If n is an integer greater than 6, which of the following must be divisible by 2? Answer Choice: (A) 1. n (n+1) (n-4) (B) 2. n (n+2) (n-1) (C) 3. n (n+3) (n-5) (D) 4. n (n+4) (n-2) (E) 5. n (n+5) (n-6)
Answer: B
The original price of a car was $25,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for? Answer Choice: (A) $24,937.50 (B) $24,948.50 (C) $24,954.50 (D) $24,958.50 (E) $24,963.50
Answer: A
The average of first seven prime numbers: Answer Choice: (A) 5.6 (B) 11.2 (C) 12.9 (D) 8.2 (E) 7.4
Answer: D
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $8 per item. If the manufacturer’s selling price per item is $12, how many items the manufacturer produce and sell to earn an annual profit of $140,000? Answer Choice: (A) 2,858 (B) 8,667 (C) 21,429 (D) 35,000 (E) 67,500
Answer: E
Kanul spent $3000 in buying raw materials, $1000 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount? Answer Choice: (A) $5825.16 (B) $5725.26 (C) $5714.28 (D) $5912.52 (E) $5614.46
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Answer Choice: (A) 23.77 cm (B) 23.47 cm (C) 83.57 cm (D) 23.57 cm (E) 23.56 cm
Answer: D
If d is an even integer and d/18 is an odd integer, which of the following is NOT an even integer? Answer Choice: (A) (d^2)/54 (B) (d^2)/20 (C) (d^2)/9 (D) (d^2)/6 (E) (d^2)/2
Answer: B
The largest 4 digit number exactly divisible by 88 is: Answer Choice: (A) 3377 (B) 2255 (C) 7732 (D) 9944 (E) 9932
Answer: D
A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? Answer Choice: (A) 1/5 (B) 1/3 (C) 1/2 (D) 1 (E) 3
Answer: A
Which of the following data sets has the smallest standard deviation? Answer Choice: (A)  {3, 3, 3, 3, 3} (B)  {2, 3, 3, 3, 4} (C)  {2, 2, 2, 4, 5} (D)  {0, 2, 3, 4, 6} (E)  {-1, 1, 3, 5, 7}
Answer: A
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field? Answer Choice: (A) 5 days (B) 6 days (C) 7 days (D) 8 days (E) 9 days
Answer: B
The digit in the unit’s place of a number is equal to the digit in the ten’s place of half of that number and the digit in the ten’s place of that number is less than the digit in unit’s place of half of the number by 1. If the sum of the digits of number is 7, then what is the number Answer Choice: (A) 34 (B) 49 (C) 162 (D) 52 (E) 79
Answer: D
A local bank that has 14 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 14 codes? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 14( ( 2 integers 4 codes) (E) 7
Answer: D
Marie's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ? Answer Choice: (A) 7cdx/100 (B) d + 7cx/100 (C) 7d + 7xc/100 (D) 7d + xc/100 (E) 7cdx
Answer: C
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is? Answer Choice: (A) 700 kg (B) 500 kg (C) 600 kg (D) 800 kg (E) 900 kg
Answer: C
A motorcyclist goes from Bombay to Pune, a distance of 256 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car? Answer Choice: (A) 1:2 (B) 1:5 (C) 1:4 (D) 1:1 (E) 5:8
Answer: E
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 20 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold? Answer Choice: (A) j/83 (B) 7j/500 (C) 140j (D) j/100+40 (E) 140j/100
Answer: A
If R is an integer greater than 6, which of the following must be divisible by 3? Answer Choice: (A) R(R+1)(R-4) (B) N(N+2)(N-1) (C) N(N+3)(N-5) (D) N(N+4)(N-2) (E) N(N+5)(N-6)
Answer: A
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Answer Choice: (A) 16 2/6% (B) 16 9/3% (C) 16 2/3% (D) 16 3/3% (E) 12 2/3%
Answer: C
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 72, Find x and y ? Answer Choice: (A) x=4,y=8 (B) x=4,y=9 (C) x=16,y=64 (D) x=4,y=9 (E) x=5,y=8
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good? Answer Choice: (A) 125/129 (B) 125/122 (C) 125/126 (D) 125/121 (E) 125/125
Answer: C
Concentrated grapes juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated grapes juice, at the most, can fit into 3 wooden boxes? Answer Choice: (A) 24. (B) 28. (C) 36. (D) 42. (E) 48.
Answer: A
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $74. If $2,000 is the total amount invested, how much is invested at 8 percent? Answer Choice: (A) $600 (B) $700 (C) $800 (D) $900 (E) $1000
Answer: B
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100) Answer Choice: (A) 1/13 (B) 1/19 (C) 1/20 (D) 1/21 (E) 1/31
Answer: C
At McDonalds you can order Chicken McNuggets in boxes of 6, 9, and 20. What is the largest number such that you can not order any combination of the above to achieve exactly the number you want? Answer Choice: (A) 43 (B) 53 (C) 63 (D) 73 (E) 83
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 120 m (B) 240 m (C) 300 m (D) 200 m (E) None of these
Answer: B
By how much is three-fifth of 620 greater than four- seventh of 210 ? Answer Choice: (A) 520 (B) 215 (C) 252 (D) None of these (E) Cannot be determined
Answer: C
A man is walking at the rate of 9 km/hr crosses a bridge in 15 minutes. The length of the bridge is Answer Choice: (A) 1000 meters (B) 1050 meters (C) 2200 meters (D) 2250 meters (E) None of these
Answer: D
which one is odd?
4377
3954
9863
8454
9831 Answer Choice: (A) 4377 (B) 3954 (C) 9863 (D) 8454 (E) None
Answer: C
It takes Beth 9 minutes to do one oil change, and it takes Logan 12 minutes. At 4:56 pm, they both finish an oil change simultaneously. If Beth and Logan both began doing oil changes at exactly the same time and worked without pausing, when did they both start doing oil changes? Answer Choice: (A) 4:11 pm (B) 4:20 pm (C) 4:29 pm (D) 4:38 pm (E) 4:47 pm
Answer: B
A man can row with a speed of 30 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? Answer Choice: (A) A)63kmph (B) B)63kmph (C) C)35kmph (D) D)62kmph (E) E)74kmph
Answer: C
Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ? Answer Choice: (A) 42 (B) 63 (C) 84 (D) 98 (E) 108
Answer: C
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.83. How much was lent at 5%? Answer Choice: (A) 700 (B) 299 (C) 266 (D) 500 (E) 188
Answer: A
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between A and B, Sam and Nik proceed to their destinations of B and A respectively. Sam reaches B 60 minutes after the two meet and Nik reaches A 90 minutes after their meeting. How long did Sam take to cover the distance between A and B? Answer Choice: (A) 60 minutes (B) 120 minutes (C) 200 minutes (D) 225 minutes (E) none of the above
Answer: B
If log 27 = 1.431, then the value of log 9 is: Answer Choice: (A) 0.934 (B) 0.954 (C) 0.955 (D) 0.945 (E) 0.96
Answer: D
What do you get if you add 7 to 290 three times? Answer Choice: (A) 305 (B) 296 (C) 289 (D) 297 (E) 309
Answer: D
On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment? Answer Choice: (A) 700 (B) 350 (C) 500 (D) 600 (E) 850
Answer: D
A train 275 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) 7 (D) 15 (E) 9
Answer: D
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area q square inches. Which of the following equations must be true? Answer Choice: (A) w^2 + pw + q = 0 (B) w^2 - pw + 2q = 0 (C) 2w^2 + pw + 2q = 0 (D) 2w^2 - pw - 2q = 0 (E) 2w^2 - pw + 2q = 0
Answer: E
If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: C
15 people can write 90 book in 20 days working 7 hour a day.then in how many day 240 can be written by 72 people? Answer Choice: (A) 240/9 (B) 309/28 (C) 100/9 (D) 200/9 (E) 339/26
Answer: C
A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $80. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard) Answer Choice: (A) 80xy (B) 720xy (C) xy/9 (D) xy/80 (E) 720/(xy)
Answer: E
A 12 month project had a total budget of $24,000. After seven months, the project had spent $12,500. At this point, how much was the project under budget? Answer Choice: (A) $1500 (B) $1600 (C) $1700 (D) $1800 (E) $1900
Answer: A
A cube has two of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube? Answer Choice: (A) 1:5 (B) 3:6 (C) 1:2 (D) 2:9 (E) 1:3
Answer: A
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? Answer Choice: (A) 5402 (B) 542 (C) 5400 (D) 5429 (E) 5421
Answer: C
In a bank investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value? Answer Choice: (A) 1.2 (B) 1 (C) 4 (D) 2 (E) 3
Answer: C
What is the tens digit of 6^18? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Answer: A
A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 600. A's investment was Answer Choice: (A) Rs. 4,500 (B) Rs. 8,250 (C) Rs. 10,500 (D) Rs. 11,250 (E) Rs. 12,250
Answer: C
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent? Answer Choice: (A) 42 6/5 (B) 42 6/0 (C) 42 6/3 (D) 42 6/7 (E) 42 6/2
Answer: D
The average age of a committee of 8 members is 36 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is; Answer Choice: (A) 39 years (B) 34 years (C) 36 years (D) 35 years (E) 31 years
Answer: B
Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 6, while all other numbers remain the same, what is the new average of Set S? Answer Choice: (A) 6.6 (B) 6.7 (C) 6.8 (D) 6.85 (E) 6.9
Answer: C
Car A is 10 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B? Answer Choice: (A) 1.5 (B) 2.25 (C) 2.75 (D) 2.5 (E) 3.5
Answer: B
If a/b = 4/3, Then (3a + 2b) / (3a - 2b) = ? Answer Choice: (A) 6 (B) 3 (C) 5 (D) -1 (E) None
Answer: B
The positive two-digit integers p and q have the same digits, but in reverse order. Which of the following must be a factor of p + q? Answer Choice: (A) 66 (B) 9 (C) 10 (D) 12 (E) 14
Answer: A
P runs 20% faster than Q so P gives Q a 50 meter head start. If the race ends in a tie, how far (in meters) did P run in the race? Answer Choice: (A) 250 (B) 300 (C) 350 (D) 400 (E) 450
Answer: B
A Cricketer makes a score of 134 runs in the 22nd inning and thus increases his average by 3.5. Find his average after 22nd inning. Answer Choice: (A) 40 (B) 60.5 (C) 52 (D) 55 (E) 36
Answer: B
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: B
If x and y are three-digit integers such that x > 400 and y<700, which of the following is closest to the maximum possible value of xy ? Answer Choice: (A)  698,301 (B)  2,800 (C)  45,000 (D)  76,000 (E)  28,000
Answer: A
A person covers a distance in 12 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes. Answer Choice: (A) 8 m/s (B) 4 m/s (C) 15 m/s (D) 10 m/s (E) 5 m/s
Answer: A
How many number of 4 digits can be formed with the digits 1,2,3,4,5 if repetition of digits is not allowed? Answer Choice: (A) 60 (B) 120 (C) 180 (D) 240 (E) 32
Answer: B
You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7.
What is the probability that you get a sum of 4 before the sum of 7? Answer Choice: (A) 5/6 (B) 4/5 (C) 2/5 (D) 1/8 (E) 4/4
Answer: C
Marge has C candies, where C is an integer such that 20 <C< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? Answer Choice: (A)  0 (B)  1 (C)  2 (D)  3 (E)  4
Answer: C
A,B,and C were started a business, the total profit for one year is $56700.The profit sharing ratio is 8:9:10 (according to their investment they divide their profit).what is the profit of c? Answer Choice: (A) $5670 (B) $18900 (C) $21000 (D) $13500 (E) $27000
Answer: C
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Answer Choice: (A) 9:1 (B) 4:7 (C) 7:1 (D) 2:5 (E) 5:6
Answer: A
The distance between 2 cities A and B is 1000km. A train starts from A at 11 a.m. and travels towards B at 100 km/hr. Another starts from B at 12 P.m. and travels towards A at 150 km/hr. At what time do they meet? Answer Choice: (A) 11am. (B) 12p.m. (C) 3pm. (D) 4p.m. (E) 1p.m.
Answer: D
One third of a two digit number exceeds its one fourth by 3. What is the sum of the digits of the number? Answer Choice: (A) seven (B) eight (C) nine (D) ten (E) eleven
Answer: C
Find the one which does not belong to that group ? Answer Choice: (A) 36 (B) 77 (C) 28 (D) 99 (E) 22
Answer: C
If c = (1/4)a and b = 3c, then which of the following represents the result of a^2+b^2+c^2 in terms of c Answer Choice: (A) 26c^2 (B) 15c^2 (C) 25c (D) 56c^2 (E) 19c
Answer: A
If -13 < 7x + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of x + y? Answer Choice: (A) -23 (B) -18 (C) -13 (D) -14 (E) -12
Answer: D
How many even number in the range between 15 to 100 inclusive are not divisible by 3 Answer Choice: (A) 29 (B) 30 (C) 31 (D) 33 (E) 46
Answer: A
On a certain road, 20% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit? Answer Choice: (A) 10.5% (B) 12.5% (C) 15% (D) 25% (E) 30%
Answer: D
In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 23,947. Approximately what was the percent increase? Answer Choice: (A)  45% (B)  125% (C)  145% (D)  150% (E)  169%
Answer: E
If 2x = 3y = 20, then 12xy = ? Answer Choice: (A)  1,200 (B)  800 (C)  120 (D)  40 (E)  20
Answer: B
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 20 (E) 5
Answer: B
The value of AA+A(2A)(A)when A =4 is: Answer Choice: (A) 144 (B) 145 (C) 132 (D) 125 (E) 135
Answer: A
The fourth proportional to 12, 14 and 18 is? Answer Choice: (A) 21 (B) 66 (C) 77 (D) 88 (E) 12
Answer: A
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements T. Answer Choice: (A) a) T=48 (B) b) T=144 (C) c) T=240 (D) d) T=288 (E) e) T=120
Answer: C
The present ages of three persons in proportions 10 : 1 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years). Answer Choice: (A) 50, 5, 25 (B) 16, 28, 36 (C) 16, 28, 35 (D) 16, 28, 34 (E) 16, 28, 33
Answer: A
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 65, then the average marks of all the students is: Answer Choice: (A) 53.33 (B) 54.68 (C) 55 (D) 56.09 (E) None of these
Answer: D
The sum of the terms of an infinite G.P is 7 and the sum of the cubes of the terms is 1,225. Find the first term of the series. Answer Choice: (A) 35/3 (B) 35/2 (C) 15/2 (D) 9/4 (E) 7/4
Answer: A
For what value of x, is |x – 3| + |x + 1| + |x| = 8? Answer Choice: (A)  0 (B)  3 (C)  -3 (D)  4 (E)  -2
Answer: E
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) 8 kmph (B) 12 kmph (C) 5 kmph (D) 6 kmph (E) 8 kmph
Answer: B
A boat crossed a lake from North to West at the speed of 5 km/h, entered a river and covered twice as much distance going upstream at 4 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.6 km/h that day, what was its approximate downstream speed? Answer Choice: (A) 2 (B) 3 (C) 6 (D) 7 (E) 8
Answer: C
In racing over a given distance d at uniform speed, A can beat B by 20 meters, B can beat C by 5 meters, and A can beat C by 24 meters. What is the distance d in meters? Answer Choice: (A) 70 (B) 80 (C) 90 (D) 100 (E) 120
Answer: D