loafeihong/math_mmlu_format huggingface dataset:
In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. Each tree bears as many fruits as the number of trees in each row, and each fruit has as many seeds as the number of trees in each row. If the total number of seeds from the trees in that garden is n, then : Answer Choice: (A) n is a perfect square (B) n is an odd number (C) n is an even number (D) n is a perfect cube. (E) none
Answer: A
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 7 sec (B) 6 sec (C) 4 sec (D) 2 sec (E) 9 sec
Answer: B
A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^15, respectively, what is the value of A? Answer Choice: (A) -24(5^12) (B) -25(5^12) (C) -24(5^6) (D) 23(5^12) (E) 24(5^12)
Answer: B
How many positive factors do 160 and 96 have in common? Answer Choice: (A) 6 (B) 12 (C) 16 (D) 18 (E) 24
Answer: A
An engineer undertakes a project to build a road 10 km long in 15 days and employs 30 men for the purpose. After 5 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time. Answer Choice: (A) 15 (B) 20 (C) 25 (D) 28 (E) 30
Answer: E
13 ltr of water is added with 11 ltr of a solution containing 16%of alcohol in the water. The %of alcohol in the new mixture is? Answer Choice: (A) 7.33% (B) 9% (C) 9.67% (D) 11% (E) 11.5%
Answer: A
In how many ways T can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side? Answer Choice: (A) 1. 10!/(2! * 3!) (B) 2. 10!/(8! * 7!) (C) 3. 5!/(3! * 2!) (D) 4. (5!)^3/(3! * 2!) (E) 5. 5!/(8! * 7!)
Answer: D
The number of new words that can be formed by rearranging the letters of the word 'IS' is? Answer Choice: (A) 6 (B) 7 (C) 4 (D) 1 (E) 3
Answer: D
A shopkeeper has 280 kg of apples. He sells 40% of these at 30% profit and remaining 60% at 30% profit. Find his % profit on total. Answer Choice: (A) 24% (B) 25% (C) 26% (D) 28% (E) 30%
Answer: E
The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? Answer Choice: (A) 20 (B) 21 (C) 23 (D) 25 (E) 26
Answer: C
When a producer allows 36% commission on retail price of his product, he earns a profit of 8.8%. what would be his profit % if the commision is reduced by 24%? Answer Choice: (A) 49.6% (B) 49% (C) 50% (D) 48.6% (E) 48%
Answer: A
A certain company charges $20 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $20 plus $5 per pound. If the company charged $65 to ship a certain package, which of the following was the weight of the package, in pounds? Answer Choice: (A) 13 (B) 15 (C) 17 (D) 19 (E) 21
Answer: A
If –6 and 3 are the solutions to the equation x^2 + bx + c = 0, where b and c are constants, what is the value of b + c? Answer Choice: (A) –18 (B) –15 (C) –3 (D) 3 (E) 8
Answer: B
In an election contested by two parties, Party A secured 14% of the total votes more than Party B. If party B got 140,000 votes, by how many votes did it lose the election? Answer Choice: (A) 14,000 (B) 36,279 (C) 164,000 (D) 242,000 (E) 303,000
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is: Answer Choice: (A) 5330 (B) 5336 (C) 5343 (D) 5345 (E) 5350
Answer: B
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 50% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk? Answer Choice: (A) 60% (B) 70% (C) 100% (D) 90% (E) 80%
Answer: C
Tommy's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items 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 + xc/100 (D) 7d + 7xc/100 (E) 7cdx
Answer: D
There is a 30% chance that Tigers will not win at all during the whole season. There is a 30% chance that Portugeese will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Portugeese will play during the season? Answer Choice: (A)  55% (B)  60% (C)  70% (D)  72% (E)  80%
Answer: C
Which of the following is closest to (3!-2!)/(3!+2!)? Answer Choice: (A) 0.01 (B) 0.1 (C) 0.2 (D) 0.5 (E) 10
Answer: D
A, Band C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each. Answer Choice: (A) 360000;180000;270000 (B) 270000;180000;360000 (C) 180000;360000;270000 (D) 270000;360000;270000 (E) None of them
Answer: B
The average of a couple was 28Yrs when they were married 15Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 31Yrs now. How old is the
child now ? Answer Choice: (A) 2 Yrs (B) 7 Yrs (C) 3 Yrs (D) 1 Yrs (E) None of these
Answer: B
When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers? Answer Choice: (A) 3 (B) 7 (C) 10 (D) 13 (E) 19
Answer: E
Rahim went to a shop and bought things worth Rs. 35, out of which 50 Paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items? Answer Choice: (A) 18.5 (B) 21.5 (C) 24.5 (D) 23.5 (E) 22.5
Answer: C
In a games hour 4 different types of players came to the ground? cricket 10, hokey 12, football 16, softball 13. How many players are present in the ground? Answer Choice: (A) 70 (B) 52 (C) 51 (D) 49 (E) 50
Answer: C
If 36 men can do a piece of work in 25 hours, in how many hours will 12 men
do it ? Answer Choice: (A) 65 hours (B) 75 hours (C) 30 hours (D) 62 hours (E) 66 hours
Answer: B
A 270 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) 230 (B) 88 (C) 77 (D) 26 (E) 22
Answer: A
Divide $1000 among A,B in the ratio 1:4. How many $ that B get? Answer Choice: (A) $500 (B) $800 (C) $1000 (D) $200 (E) $750
Answer: B
John is building a rectangular fence around a garden. The length will be 5 feet shorter than its width. If the total area of the garden is 176 square feet, what is the length of the diagonal (in feet)? Answer Choice: (A) Between 18 and 19 (B) Between 19 and 20 (C) Between 20 and 21 (D) Between 21 and 22 (E) Between 22 and 23
Answer: B
There is a single elimination lacrosse tournament, meaning when one player loses, they are out of the tournament. There are 10 teams in the tournament, how many games are played? Answer Choice: (A) 10 (B) 5 (C) 2 (D) 9 (E) 7
Answer: D
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b.2*( (10a + b) – (10x + z) )could NOT equal Answer Choice: (A) 66 (B) 72 (C) 48 (D) 126 (E) 132
Answer: C
The average of 5 numbers is 6.8. If one of the numbers is multiplied by a factor of 2, the average of the numbers increases to 9.2. What number is multiplied by 2? Answer Choice: (A)  12.0 (B)  30.0 (C)  30.9 (D)  40.0 (E)  60.0
Answer: A
A certain rectangular crate measures 8 feet by 12 feet by 14 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? Answer Choice: (A) 6 (B) 5 (C) 6 (D) 8 (E) 10
Answer: A
Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11? Answer Choice: (A) 55 (B) 27 (C) 29 (D) 12 (E) 01
Answer: A
In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. Answer Choice: (A) 33 (B) 37 (C) 54 (D) 99 (E) 01
Answer: C
If Z = 52 and ACT = 48, then BAT will be equal to Answer Choice: (A) 33 (B) 88 (C) 77 (D) 46 (E) 99
Answer: D
What is the lowest positive integer that is divisible by 1 through 3, inclusive? Answer Choice: (A) 12 (B) 6 (C) 8 (D) 18 (E) 33
Answer: B
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Answer Choice: (A) 22 (B) 21 (C) 54 (D) 28 (E) 32
Answer: C
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price Q per glass on the second day? Answer Choice: (A)  $015 (B)  $0.20 (C)  $0.30 (D)  $0.40 (E)  $0.45
Answer: D
A librarian has a set of eight books, including four different books about Abraham Lincoln. The librarian wants to put the eight books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other four books. How many different arrangements of the eight books are possible? Answer Choice: (A) (8!)/(4!) (B) (4!)(4!) (C) (4!)(5!) (D) (4!)(8!) (E) (4!)(4!)(8!)
Answer: C
The variables a and b are non-zero integers B. If a = 2b^3/c, what happens to c when a is halved and b is doubled? Answer Choice: (A) c is not changed. (B) c is halved. (C) c is doubled. (D) c is multiplied by 4. (E) c is multiplied by 16.
Answer: E
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 50 terms of this sequence? Answer Choice: (A) (1+1/2) – (1/51 +1/ 52) (B) (1/51 +1/ 52) (C) (1+1/2) +(1/51 +1/ 52) (D) (1+1/2) – 1/51 (E) (1+1/2) – 1/52
Answer: A
((7^1/2)^2) Answer Choice: (A) 49^1/2 (B) 49^1/4 (C) 7^1/2 (D) 7^1/4 (E) 7^1/3
Answer: A
An article costing rs.160 is sold at 10% discount on a mark-up price. What is the selling price after
discount? Answer Choice: (A) 106 (B) 116 (C) 126 (D) 136 (E) 144
Answer: E
All the stocks on the over-the-counter market are designated by either a 3 letter or 4 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? Answer Choice: (A) 2(26^5) (B) 26(26^4) (C) 27(26^3) (D) 26(26^5) (E) 27(26^5)
Answer: C
A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.05? Answer Choice: (A) 980 (B) 1130 (C) 1440 (D) 1610 (E) 1820
Answer: D
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 3 strokes ? Answer Choice: (A) 15/16 (B) 7/8 (C) 1/4 (D) 1/8 (E) 1/16
Answer: B
30 men can do a work in 40 days. When should 14 men leave the work so that the entire work is completed in 40 days after they leave the work? Answer Choice: (A) 87 days (B) 16 days (C) 55 days (D) 44 days (E) 22 days
Answer: B
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 4 and a y-intercept of -4. If the two lines intersect at the point (a,b), what is the sum a+b? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
Jim and Renjee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renjee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win? Answer Choice: (A) 5/6 (B) 2/3 (C) 1/2 (D) 5/12 (E) 1/3
Answer: E
A doctor prescribed 24 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage? Answer Choice: (A) 8% (B) 9% (C) 50% (D) 12.5% (E) 14.8%
Answer: D
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B? Answer Choice: (A) 10 : 4 (B) 10 : 7 (C) 13 : 7 (D) 14 : 6 (E) 13 : 9
Answer: C
3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 17 (E) 19
Answer: C
If p^2 – 8p + 15 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0? Answer Choice: (A) 1/10 (B) 1/5 (C) 2/5 (D) 3/5 (E) 3/10
Answer: A
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 5 letters in its codes, and all letters can be repeated in any one code? Answer Choice: (A) A.15600 (B) B.1622654 (C) C.12356630 (D) D.24515230 (E) E.28572218
Answer: C
The food in a camp lasts for 40 men for 40 days. If ten more men join, how many days will the food last? Answer Choice: (A) 40 days (B) 20 days (C) 32 days (D) 50 days (E) 45 days
Answer: C
How many positive integers less than 100 have a reminder 5 when divided by 7? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: D
If w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2wy have? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 12
Answer: D
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 8 minutes less than they can row it in still water. How long would they take to row down with the stream Answer Choice: (A) 45 or 23 minutes (B) 63 or 12 minutes (C) 76 minutes (D) 19 minutes (E) 25 minutes
Answer: C
In an engineering class that contained 150 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly? Answer Choice: (A) 4 (B) 6 (C) 10 (D) 12 (E) 24
Answer: D
A train 500 m long, running with a speed of 180 km/hr will pass a tree in? Answer Choice: (A) 17 sec (B) 16 sec (C) 18 sec (D) 10 sec (E) 12 sec
Answer: D
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails? Answer Choice: (A) 1/8 (B) 1/4 (C) 1/16 (D) 1/32 (E) 1/2
Answer: C
Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
An alloy is to contain copper and zinc in the ratio 9:4. The zinc required to be melted with 24kg of copper is? Answer Choice: (A) 12kg (B) 8.3kg (C) 10.7kg (D) 15.5kg (E) 7kg
Answer: C
The speed of a car is 90 km in the first hour and 55 km in the second hour. What is the average speed of the car? Answer Choice: (A) 72.5 kmph (B) 75 kmph (C) 87 kmph (D) 56 kmph (E) 86 kmph
Answer: A
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? Answer Choice: (A) 0.853 (B) 0.358 (C) 3.58 (D) 8.35 (E) None
Answer: B
Two numbers are respectively 50% and 100% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 65% (B) 83% (C) 27% (D) 42% (E) 75%
Answer: E
If 5 shirts can be purchased for 5 dollars, how many shirts can be purchased for 7 dollars? Answer Choice: (A) 5 (B) 8 (C) 7 (D) 1 (E) 2
Answer: E
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 5 years (D) 6 years (E) 7 years
Answer: D
What is the Units digit of (5!*4! - 3!*5!)/120 Answer Choice: (A) 7 (B) 8 (C) 9 (D) 4 (E) 1
Answer: B
One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture. Answer Choice: (A) 28 % (B) 25 % (C) 30 % (D) 27% (E) 32%
Answer: D
There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps.Find the no. of steps in the escalator while it is staionary? Answer Choice: (A) 60 (B) 70 (C) 80 (D) 90 (E) 100
Answer: E
Find avrg speed if a man travels at speed of 15km/hr up and 28km/hr dawn at an altitude of 230m. Answer Choice: (A) 25.8 (B) 19.5 (C) 18.0 (D) 12.2 (E) 29.8
Answer: B
If a farmer is splitting her crop of apples between her nine customers, how many would be left if she evenly divided the 541 apples? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 6 (E) 9
Answer: A
A sum of money becomes triple itself in 4 years at simple interest. How many years will it become six times at the same rate? Answer Choice: (A) 11 years (B) 10 years (C) 12 years (D) 14 years (E) 16 years
Answer: B
If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 5 percent to salaries, what fraction of its budget remains for other allocations? Answer Choice: (A) 1/4 (B) 2/4 (C) 3/4 (D) 1/5 (E) 2/5
Answer: C
If the average of 10 digits is 80 and the average of 6 of them is 58, calculate the average of the remaining 4 numbers? Answer Choice: (A) 119 (B) 117 (C) 116 (D) 113 (E) 115
Answer: D
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly? Answer Choice: (A) 3388 (B) 2778 (C) 2522 (D) 2988 (E) 2771
Answer: C
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 6 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible? Answer Choice: (A) 7 + 6 + 10 (B) 7 × 6 × 10 (C) 21 × 20 × 19 (D) 7! + 6! + 10! (E) 7! × 6! × 10!
Answer: B
John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping? Answer Choice: (A) $32 (B) $33 (C) $34 (D) $35 (E) $36
Answer: A
If 20% of a = b, then b% of 20 is the same as : Answer Choice: (A) 4% of a (B) 8% of a (C) 12% of a (D) 9% of a (E) 1% of a
Answer: A
Find the length of the wire required to go 15 times round a square field containing 69696 m2? Answer Choice: (A) 15840 (B) 19879 (C) 27997 (D) 15842 (E) 15823
Answer: A
A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set? Answer Choice: (A) 33 (B) 35 (C) 38 (D) 48 (E) 75
Answer: D
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel? Answer Choice: (A) 15 (B) 12 (C) 21 (D) 9 (E) 22
Answer: D
If the average (arithmetic mean) of a and b is 100, and the average of b and c is 160, what is the value of a − c? Answer Choice: (A) −120 (B) −100 (C) 100 (D) 135 (E) It cannot be determined from the information given
Answer: A
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together? Answer Choice: (A) 180/15 (B) 180/10 (C) 180/13 (D) 180/15 (E) 180/11
Answer: C
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share. Answer Choice: (A) Rs. 3240 (B) Rs. 2520 (C) Rs. 2880 (D) Rs. 3360 (E) None of these
Answer: C
A work crew of 4 Men takes 5 days to complete one-half of a job. If 11 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job? Answer Choice: (A) 2 (B) 3 (C) 1 1/3 (D) 4 (E) 4 4/5
Answer: C
The remainder when 1!+2!+3!...+50! divided by 6! will be Answer Choice: (A) 21 (B) 153 (C) 77 (D) 927 (E) 19
Answer: B
The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts? Answer Choice: (A) 12 (B) 8 (C) 4 (D) 10 (E) 16
Answer: D
Find the face value of 5 in 358946 Answer Choice: (A) 50 (B) 5 (C) 500 (D) 5000 (E) 50000
Answer: B
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability E that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls? Answer Choice: (A) 8/28 (B) E=9/28 (C) 10/28 (D) 10/18 (E) 11/18
Answer: B
Find the value of (200+ 200/90) × 90 Answer Choice: (A) 18500 (B) 18200 (C) 17500 (D) 16500 (E) 13500
Answer: B
Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy? Answer Choice: (A) 1 (B) 2 (C) 7 (D) 3 (E) 8
Answer: A
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 26 seconds, what is the ratio of their speeds? Answer Choice: (A) 1:3 (B) 9:1 (C) 2:3 (D) 3:2 (E) 3:4
Answer: B
Three years ago the average age of a family of nine members was 23 years. A boy have been born, the average age of the family is the same today. What is the age of the boy? Answer Choice: (A) A)4 (B) B)5 (C) C)6 (D) D)7 (E) E)8
Answer: A
If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. b = 1
II. a = 1
III. b < a Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) I and III
Answer: E
The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 49 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons? Answer Choice: (A) 55 (B) 56 (C) 57 (D) 58 (E) 59
Answer: B
The surface of a cube is 24sq cm. Find its volume? Answer Choice: (A) 8 (B) 6 (C) 4 (D) 3 (E) 1
Answer: A
A sum of Rs.13000 is divided into three parts such that the simple interests accrued on them for two, three and four years respectively may be equal. Find the amount deposited for 4 years. Answer Choice: (A) 5000 (B) 6000 (C) 4000 (D) 3000 (E) 7000
Answer: D
The sum of the present ages of A, B, C is 57 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: D