loafeihong/math_mmlu_format huggingface dataset:
Jake remembers only the last four letters of his five-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant? Answer Choice: (A) A)8/100 (B) B)1/8 (C) C)1/9 (D) D)4/5 (E) E)9/10
Answer: B
Five years ago, John’s age was half of the age he will be in 2 years. How old is he now? Answer Choice: (A) 14years (B) 12years (C) 16years (D) 17years (E) 18years
Answer: B
A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 110 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second? Answer Choice: (A) 110 * sqrt 2 (B) 110 * sqrt (2^7) (C) 110 * sqrt (2^12) (D) 110 * the twelfth root of (2^7) (E) 110 * the seventh root of (2^12)
Answer: A
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case. Answer Choice: (A) 627 (B) 528 soldiers (C) 626 (D) 657 (E) 673
Answer: B
Danny is sitting on a rectangular box. The area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. If the volume of the box is 648, what is the area of the side face of the box? Answer Choice: (A) 32 (B) 78 (C) 84 (D) 90 (E) 72
Answer: E
If 3x+4y=88 and 3x-4y=14, what is the value of x subs y? Answer Choice: (A) 17/4 (B) 25/4 (C) 27/4 (D) 25/4 (E) 19/4
Answer: E
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. z T z/z-1=1
II.x T (-z)=0
III. 2/z T 2/z=z Answer Choice: (A) a.) I (B) b.) I and II only (C) c) I and III only (D) d) II and III only (E) e) I, II and III only
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 262 runs? Answer Choice: (A) 6.25 (B) 6.22 (C) 6.29 (D) 5.75 (E) 6.13
Answer: D
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 19% (B) 72% (C) 12% (D) 16% (E) 32%
Answer: C
The total of the ages of Amar, Akbar and Anthony is 62 years. What was the total of their ages three years ago ? Answer Choice: (A) 51 years (B) 55 years (C) 74 years (D) 53 years (E) 78 years
Answer: D
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64? Answer Choice: (A) 90 (B) 100 (C) 110 (D) 70 (E) None of these
Answer: E
A and B can do a work in 4days, B and C in 5days, C and A in 7days. If A,B and C work together , they will complete the work in? Answer Choice: (A) 3days (B) 5days (C) 7days (D) 1days (E) 2dasy
Answer: A
What is the greatest possible straight line distance, in inches, between any two points on a rectangular box that is 5 inches wide, 3 inches long, and 4 inches high? Answer Choice: (A) 2√5 (B) 5 (C) 5√2 (D) 10 (E) 50
Answer: C
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 30 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 12 (E) None of these
Answer: D
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point T at the same time, how long, in hours, after the trains depart will they again meet at Point T? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 18 (E) 22
Answer: B
Yesterday's closing prices of 1,760 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday? Answer Choice: (A)  960 (B)  726 (C)  1,100 (D)  1,320 (E)  1,694
Answer: A
If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=u
ii. u is not equal to v
iii. s > v Answer Choice: (A) None (B) I only (C) II only (D) III only (E) II and III
Answer: D
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 4, then v= Answer Choice: (A) 6 (B) 9 (C) 12 (D) 15 (E) 18
Answer: B
Five 6 faced dice are thrown together. The probability that all the three show the same number on them is? Answer Choice: (A) 1/32 (B) 1/1296 (C) 1/33 (D) 1/38 (E) 1/34
Answer: B
Which is greatest in 16 ( 2/3) %, 2/5 and 0.17 ? Answer Choice: (A) 16 (2/3) (B) 0.17 (C) 2/5 (D) all are equal (E) none
Answer: B
An article is bought for Rs.675 and sold for Rs.800, find the gain percent? Answer Choice: (A) 38% (B) 28% (C) 18% (D) 22% (E) 13%
Answer: C
The product A of the first 10 prime numbers is closest to which of the following? Answer Choice: (A) 6.5 x 10^7 (B) 6.5 x 10^8 (C) 6.5 x 10^9 (D) 6.5 x 10^10 (E) 6.5 x 10^11
Answer: C
If x and y are perfect squares, then which five of the following is not necessarily a perfect square? Answer Choice: (A) x^2 (B) xy (C) 4x (D) x+y (E) x^5
Answer: A
There are 7 non-collinear points. How many triangles can be drawn by joining these points? Answer Choice: (A) 12 (B) 27 (C) 35 (D) 28 (E) 11
Answer: C
A train is 435 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Answer Choice: (A) 20 seconds (B) 30 seconds (C) 46 seconds (D) 50 seconds (E) None of these
Answer: C
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: Answer Choice: (A) 0º (B) 10º (C) 5º (D) 20º (E) 30º
Answer: B
Speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is: Answer Choice: (A) 48 hours (B) 51 hours (C) 36 hours (D) 56 hours (E) None
Answer: D
Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much does she have in her account after two years? Answer Choice: (A) $10079.44 (B) $10815.83 (C) $12652.61 (D) $14232.14 (E) $20598.11
Answer: B
If n is an integer, which of the following CANNOT be a factor of 3n+4? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 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) 77.14 cm (B) 47.14 cm (C) 84.92 cm (D) 29.85 cm (E) 23.57 cm
Answer: D
n a contest, a bowl contains 10 keys, one of which will open a treasure chest and nine of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize? Answer Choice: (A) 1/10 (B) . 1/9 (C) 1/5 (D) 19/90 (E) 2/9
Answer: C
Special codes are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system? Answer Choice: (A) 2(26)^4 (B) 26(26)^3 (C) 27(26)^3 (D) 26(26)^4 (E) 27(26)^4
Answer: C
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 percent of the cost of the tomatoes. Answer Choice: (A) $0.94 (B) $0.96 (C) $0.99 (D) $1.00 (E) $1.20
Answer: C
A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type. Answer Choice: (A) 200, 400, 500 (B) 300, 200, 600 (C) 800, 400, 600 (D) 400, 600, 800 (E) 600, 700, 900
Answer: D
For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3).
If 3x = –75, then x = Answer Choice: (A)  –15 (B)  –13 (C)  -14 (D)  -12 (E)  15
Answer: D
Find the value of 1/(3+1/(3+1/(3-1/3))) Answer Choice: (A) 21/89 (B) 89/27 (C) 27/89 (D) 1/14 (E) 1/56
Answer: C
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y-x is even
II. (z-x)/y is an integer
III. xz is even Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
Answer: A
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 1.7 (B) 1.0 (C) 1.2 (D) 1.5 (E) 1.16
Answer: B
John buys 100 shares of par value Rs. 20 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share. Answer Choice: (A) 2 (B) 24 (C) 5 (D) 6 (E) 8
Answer: B
From theinteger n, if n*n*n is odd, then what is true from below options? Answer Choice: (A) n is odd and n*n is even (B) n is odd (C) n*n is even (D) n is even (E) n*n is odd
Answer: A
What is the sum of the different positive prime factors of 660? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 17 (E) 21
Answer: E
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT Answer Choice: (A) 32 (B) 38 (C) 44 (D) 52 (E) 63
Answer: B
Of the 65 cars on a car lot, 45 have air-bag, 30 have power windows, and 12 have both air-bag and power windows. How many of the cars on the lot have neither air-bag nor power windows? Answer Choice: (A)  8 (B)  2 (C)  10 (D)  15 (E)  18
Answer: B
The G.C.D of 1.08, 0.36 and 0.6 is Answer Choice: (A) 0.19 (B) 0.1 (C) 0.18 (D) 0.11 (E) 0.12
Answer: E
A person has 100$ in 10$ and 5$ bill.If the 5$ bill quantity is twice that of 10$ bill.What is quantity of 10$. Answer Choice: (A) 2 (B) 6 (C) 7 (D) 8 (E) 5
Answer: E
A room contains 160 people, 15 percent of whom are women. A group of people, 20 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room? Answer Choice: (A) 10 (B) 20 (C) 40 (D) 60 (E) 80
Answer: E
In how many ways Chief Minister and Minister be elected from a team of 12 members? Answer Choice: (A) 124 (B) 129 (C) 132 (D) 154 (E) 165
Answer: C
In how many ways can a Chief Minister and a Vice Minister be elected from a team of 8 members? Answer Choice: (A) 32 (B) 40 (C) 48 (D) 56 (E) 64
Answer: D
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 5 kmph, then the speed of the boat in still water is : Answer Choice: (A) 3.5 km/hr (B) 4.2 km/hr (C) 5 km/hr (D) 10.5 km/hr (E) None of these
Answer: A
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 140800, how many purple chips were selected? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Two numbers are less than a third number by 30% and 37%. How much percent is the second number is less than the first? Answer Choice: (A) 10% (B) 15% (C) 20% (D) 25% (E) 30%
Answer: A
A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I? Answer Choice: (A) 110 (B) 120 (C) 130 (D) 140 (E) 150
Answer: E
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) 2999 (C) 2772 (D) 2987 (E) 2661
Answer: A
A single discount equivalent to the discount series of 20%, 10% and 8% is? Answer Choice: (A) 31.5 (B) 33.8 (C) 31.6 (D) 31.3 (E) 31.1
Answer: B
B completes a work in 6 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days? Answer Choice: (A) 3.33 days (B) 4.33 days (C) 5.33 days (D) 6.33 days (E) 7.33 days
Answer: A
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 322 (D) 345 (E) 365
Answer: C
Which of the following reaches the largest value over the range -1 <= R <= 1? Answer Choice: (A) (R+3)^100 (B) (R+3)/(R^100) (C) (R+1000) (D) 97^97 (E) (R/2R)
Answer: B
Two circles, one with radius 10 inches and the other with radius 4 inches, are tangent at point A. Two insects start crawling at the same time from point A: one along the larger circle at 3π inches per minute, the other along the smaller circle at 2.5π inches per minute. How much time has elapsed when the two insects meet again at point A? Answer Choice: (A)  15 minutes (B)  30 minutes (C)  40 minutes (D)  1 hour (E)  1 hour, 20 minutes
Answer: E
In how many ways can 3 postcards can be posted in 5 postboxes? Answer Choice: (A) 125 (B) 286 (C) 296 (D) 199 (E) 167
Answer: A
Which of the following integers is a divisor of(15!+11)? Answer Choice: (A) 15 (B) 14 (C) 11 (D) 7 (E) 2
Answer: C
Pipes A and B can fill a tank in 6 and 4 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in? Answer Choice: (A) 3hr (B) 2hr (C) 1hr (D) 9/7hr (E) 5/3hr
Answer: A
A number with an interesting property:
When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.
It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.
Can you find it? Answer Choice: (A) 2588 (B) 2474 (C) 2254 (D) 2519 (E) 8725
Answer: D
In a certain warehouse, 90 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds? Answer Choice: (A) 8 (B) 64 (C) 168 (D) 102 (E) 144
Answer: C
Paul and Jack are 2 mechanics who work 8 hours per day changing oil in cars at The Oil Spot. If Paul can change oil in 2 cars per hour, and Jack can change oil in 3 cars per hour. What is the least number of cars per work day the 2 men can finish? Answer Choice: (A) 50 (B) 40 (C) 35 (D) 10 (E) 90
Answer: B
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is Answer Choice: (A) 54.48 (B) 54.68 (C) 54.6 (D) 54.58 (E) None of these
Answer: B
The total of 324 of 20 paise and 25 paise make a sum of Rs. 70. The no of 20 paise coins is Answer Choice: (A) 238 (B) 277 (C) 220 (D) 200 (E) 288
Answer: C
In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes? Answer Choice: (A) 48 (B) 16 (C) 64 (D) 80 (E) 32
Answer: E
Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually. Answer Choice: (A) Rs 309 (B) Rs 319 (C) Rs 3109 (D) Rs 109 (E) Rs 209
Answer: C
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Answer Choice: (A) 22 (B) 77 (C) 10 (D) 27 (E) 18
Answer: C
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 300 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 6 (C) 5 (D) 24 (E) None of these
Answer: C
The integer x is divisible by both 7 and 21. Which of the following must be an integer? Answer Choice: (A) x/25 (B) x/34 (C) x/52 (D) x/45 (E) x/21
Answer: E
Tanks A and E are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank E has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank E? Answer Choice: (A) 75% (B) 80% (C) 100% (D) 120% (E) 125%
Answer: B
15 years hence, Rohan will be just four times as old as he was 15 years ago.How old is Rohan at present? Answer Choice: (A) 20 (B) 25 (C) 30 (D) 35 (E) 40
Answer: B
The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group? Answer Choice: (A) 22 years (B) 30 years (C) 44 years (D) 32 years (E) None of these
Answer: D
If a car had traveled 30 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 90 km, at what speed did it travel? Answer Choice: (A) 35 kmh (B) 45 kmh (C) 60 kmh (D) 75 kmh (E) 90 kmh
Answer: C
Find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6. Answer Choice: (A) 187 (B) 197 (C) 207 (D) 136 (E) 227
Answer: D
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square? Answer Choice: (A) 5:16 (B) 5:12 (C) 5:19 (D) 5:18 (E) 5:14
Answer: E
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is? Answer Choice: (A) 38 (B) 27 (C) 75 (D) 28 (E) 21
Answer: C
3034 - (1002 / 200.4) = ? Answer Choice: (A) 2984 (B) 3029 (C) 2982 (D) 2981 (E) None of these
Answer: B
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes? Answer Choice: (A)  1.5 (B)  2.25 (C)  3.0 (D)  3.25 (E)  4.75
Answer: A
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? Answer Choice: (A) Rs.3389 (B) Rs.3923 (C) Rs.3972 (D) Rs.3928 (E) Rs.3929
Answer: C
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement? Answer Choice: (A) 1898 (B) 9801 (C) 1987 (D) 1900 (E) 8373
Answer: D
Find the length of the wire required to go 15 times round a square field containing 69696 m2. Answer Choice: (A) 15840 m (B) 16840 m (C) 15820 m (D) 15640 m (E) 16640 m
Answer: A
Ram get 450 marks in his exam which is 90% of total marks. What is the total marks? Answer Choice: (A) 475 (B) 600 (C) 550 (D) 500 (E) 525
Answer: D
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will miss? Answer Choice: (A) 3/8 (B) 5/8 (C) 7/16 (D) 9/16 (E) 23/32
Answer: B
M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is: Answer Choice: (A) 35000 (B) 40000 (C) 50000 (D) 60000 (E) None
Answer: C
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 7.5 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.7 standard deviation of the mean? Answer Choice: (A) Four (B) Six (C) Nine (D) Ten (E) Eleven
Answer: B
If integer k is equal to the sum of all even multiples of 25 between 200 and 600, what is the greatest prime factor of k? Answer Choice: (A) 5 (B) 7 (C) 11 (D) 13 (E) 17
Answer: D
If José reads at a constant rate of 2 pages every 6 minutes, how many seconds will it take him to read N pages? Answer Choice: (A) 180 (B) 2N (C) 5/2*N (D) 24N (E) 150
Answer: A
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share? Answer Choice: (A) 3000 (B) 2887 (C) 2666 (D) 2578 (E) 2771
Answer: A
The first three terms of a proportion are 6, 12 and 24. The fourth term is? Answer Choice: (A) 22 (B) 28 (C) 27 (D) 36 (E) 48
Answer: E
How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 8 years (B) 4 years (C) 3 years (D) 5 years 7 months (E) 5 years
Answer: D
If 2^5, 3^3, and 11^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w? Answer Choice: (A) 132 (B) 39 (C) 42 (D) 65 (E) 156
Answer: A
Amy has to go to three different stores this week. How many ways can she go to one or more stores today? Answer Choice: (A) 19 (B) 26 (C) 24 (D) 9 (E) 7
Answer: E
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is A's share? Answer Choice: (A) $1200 (B) $1600 (C) $2000 (D) $2500 (E) $3000
Answer: D
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/3, what are the odds of it burning out during the period from 6 months to 1 year following its purchase? Answer Choice: (A) 5/27 (B) 2/9 (C) 1/3 (D) 4/9 (E) 2/7
Answer: E
In how many ways can a cricket eleven be chosen out of a batch of 15 players. Answer Choice: (A) 1365 (B) 2154 (C) 1245 (D) 4512 (E) 7841
Answer: A
For how many values n is 2^n = n^2 ? Answer Choice: (A) None (B) One (C) Two (D) Three (E) More than Three
Answer: D
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 1/2 % his yearly income diminishes by Rs.61.50. his capital is Answer Choice: (A) 223.78 (B) 37.78 (C) 24.6 (D) 278.88 (E) 123.0
Answer: E
A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 120m (B) 180m (C) 240m (D) 220m (E) 280m
Answer: A
The average (arithmetic mean) of four numbers is 5x + 9. If one of the numbers is 2x, what is the average of the other three numbers? Answer Choice: (A) x + 1 (B) 3x + 3 (C) 5x + 1 (D) 5x + 4 (E) 6x + 12
Answer: E