loafeihong/math_mmlu_format huggingface dataset:
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) 6 years (D) 8 years (E) 10 years
Answer: C
12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points? Answer Choice: (A) 990 (B) 495 (C) 1980 (D) none (E) Cannot be determined
Answer: B
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. What is the length of the platform? Answer Choice: (A) 389 m (B) 350 m (C) 289 m (D) 299 m (E) 25 m
Answer: E
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common? Answer Choice: (A) 10 and 20 (B) 12 and 18 (C) 20 and 16 (D) 21 and 63 (E) 22 and 88
Answer: C
Find the value of 15 + 2 â€¢ (8 â€“ 3) Answer Choice: (A) 25 (B) 13 (C) 17 (D) 24 (E) 15
Answer: A
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the result will not be 2 blue and 2 purple marbles? Answer Choice: (A) 4/33 (B) (5/36)^2 (C) 1/2 (D) (31/36)^2 (E) 29/33
Answer: E
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? Answer Choice: (A) 12/455 (B) 3/19 (C) 14/160 (D) 8/79 (E) 2/546
Answer: A
A restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages? Answer Choice: (A) 23.5% (B) 50% (C) 35% (D) 37.5% (E) 75%
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 108 km/hr. What is the length of the platform? Answer Choice: (A) 229 (B) 240 (C) 288 (D) 480 (E) 221
Answer: D
One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I. 24
II. 20
III. 5 Answer Choice: (A) I only (B) II only (C) III only (D) II and III only (E) I, II and II
Answer: D
A man took some money for borrowed, for 3 years the total will be Rs.5000 and 5 years it will be Rs.6000/-. Then how much amount he borrowed? Answer Choice: (A) s.2000/- (B) s.2500/- (C) s.2770/- (D) s.2800/- (E) s.3500/-
Answer: E
In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average? Answer Choice: (A) 20 (B) 30 (C) 24 (D) 12 (E) 26
Answer: C
For any 4 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) None of the above
Answer: A
A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to
pass a man standing at a crossing. Answer Choice: (A) 10 seconds (B) 12 seconds (C) 14 seconds (D) 16 seconds (E) None of these
Answer: B
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/4 the number that used Kennedy Airport and 3 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year? Answer Choice: (A)  18.6 (B)  9.3 (C)  6.2 (D)  3.1 (E)  1.03
Answer: E
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true?
I. (c/2) < t < (h/2)
II. c < t < h
III. 0 < t < h Answer Choice: (A) a) I only (B) b) II only (C) c) I and III (D) d) I and II (E) e) III only
Answer: C
A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in eight pounds over the specified limit, what was the boxer's purse? Answer Choice: (A) $65,625 (B) $105,000 (C) $150,000 (D) $131,250 (E) $1,050,000
Answer: D
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: Answer Choice: (A) 74 (B) 94 (C) 184 (D) 364 (E) None of these
Answer: D
A triangle having three sides 10 cm, 17 cm, and 21 cm.A square is formed by one side lying on the longest side of the triangle.What is the maximum possible Area of the square found inside the triangle? Answer Choice: (A) 168/29 (B) 178/29 (C) 188/28 (D) 198/28 (E) 198/29
Answer: A
The difference between two numbers is 2395. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is Answer Choice: (A) 120 (B) 239 (C) 476 (D) 523 (E) 526
Answer: C
Five unbiased coin are tossed. What is the probability of getting atmost
one head? Answer Choice: (A) 31/24 (B) 31/34 (C) 31/32 (D) 31/35 (E) 31/36
Answer: C
if 8^25 divided by 7 then what is reminder Answer Choice: (A) 25 (B) 1 (C) 0 (D) 2 (E) 3
Answer: B
An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 4 ? Answer Choice: (A) 1/9 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: C
A can do a work in 15 days B in 14 days and C in 16 days . If they work on it together then in how many days required to complete the work? Answer Choice: (A) 3360/210 (B) 3360/21 (C) 3360/674 (D) 3360/240 (E) 3360/224
Answer: C
(0.12)(power 3) - (0.1)(power 3)/ (0.12)(power 2) + 0.012 + (0.1)(power 2) is: Answer Choice: (A) 0.68 (B) 0.086 (C) 0.86 (D) 0.068 (E) None of them
Answer: E
Find the no.of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat? Answer Choice: (A) 7! (B) 3! (C) 9! (D) 10! (E) 11!
Answer: B
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ? Answer Choice: (A) 18 litres (B) 24 litres of wine (C) 32 litres (D) 42 litres (E) None
Answer: B
January 1, 2008 is Tuesday. What day of the week lies on Jan. 1, 2009 ? Answer Choice: (A) Sunday (B) Monday (C) Wednesday (D) Thursday (E) Friday
Answer: D
A woman can row upstream 14 kmph and downstream 26 kmph. Find the rate of the stream and woman rate in still water. Answer Choice: (A) 4,20 (B) 20,20 (C) 8,20 (D) 20,5 (E) 6,20
Answer: E
Find the odd man out
2, 4, 8, 16, 24, 32,64 Answer Choice: (A) 2 (B) 4 (C) 24 (D) 32 (E) 64
Answer: C
If 148 is multiplied first by 163 and then by 236, Which of the following numbers would come at the unit's place? Answer Choice: (A) 8 (B) 6 (C) 4 (D) 3 (E) None of these
Answer: C
A pupil's marks were wrongly entered as 85 instead of 33. Due to that the average marks for the class got increased by half. The number of pupils in the class is : Answer Choice: (A) 30 (B) 104 (C) 20 (D) 25 (E) 26
Answer: B
If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"MANGO" would be Answer Choice: (A) 82357 (B) 89343 (C) 84629 (D) 82347 (E) 88347
Answer: D
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? Answer Choice: (A) 9/209 (B) 9/27 (C) 9/20 (D) 9/22 (E) 9/21
Answer: C
Amit and Ananthu can do a work in 10 days and 20 days respectively. Amit started the work and left after 2 days. Ananthu took over and completed the work. In how many days was the total work completed? Answer Choice: (A) 18 days (B) 20 days (C) 23 days (D) 25 days (E) 27 days
Answer: A
Ms. Williams sold two properties, X and Y, for $20,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ? Answer Choice: (A) $1600.67 (B) $1500.67 (C) $1450.67 (D) $1706.67 (E) $1666.67
Answer: E
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Answer Choice: (A) 10/21 (B) 11/21 (C) 2/7 (D) 5/7 (E) 6/7
Answer: A
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Answer Choice: (A) 120 sec (B) 198 sec (C) 178 sec (D) 665 sec (E) 276 sec
Answer: A
In how many ways can a cricket eleven be chosen out of a batch of
15 players ? Answer Choice: (A) 1635 (B) 1365 (C) 1536 (D) 3651 (E) 1366
Answer: B
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent? Answer Choice: (A) 17% (B) 19% (C) 18% (D) 14% (E) 16%
Answer: C
hree unbiased coins are tossed. What is the probability of getting at least 2 tails? Answer Choice: (A) 0.5 (B) 0.8 (C) 0.2 (D) 0.9 (E) 0.1
Answer: A
In a weight-lifting competition, the total weight of Joe's two lifts was 1800 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift? Answer Choice: (A) 225 (B) 275 (C) 325 (D) 350 (E) 700
Answer: E
Ashwin rented a power tool from a rental shop. The rent for the tool was $25 for the first hour and $10 for each additional hour. If Ashwin paid a total of $125, excluding sales tax, to rent the tool, for how many hours did she rent it? Answer Choice: (A) 11 (B) 12 (C) 15 (D) 18 (E) 16
Answer: A
A thief is noticed by a policeman from a distance of 220 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Answer Choice: (A) 120 (B) 277 (C) 2987 (D) 278 (E) 271
Answer: A
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 2 (E) 4
Answer: C
The sum of money at compound interest amounts to thrice itself in 4 years. In how many years will it be 15 times itself? Answer Choice: (A) 8 years (B) 16 years (C) 2 years (D) 6 years (E) 3 years
Answer: B
A bag contains 3 red, 3 green and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball? Answer Choice: (A) 5/7 (B) 11/14 (C) 16/21 (D) 19/28 (E) 23/35
Answer: C
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast? Answer Choice: (A) 7500 (B) 3600 (C) 8900 (D) 9000 (E) 5000
Answer: A
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 2/5 Km (B) 3 1/5 Km (C) 4 Km (D) 5 1/5 Km (E) None
Answer: C
Ten years ago, Q was half of R's age. If the ratio of their present ages is 3:4, what will be the total of their present ages? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Answer Choice: (A) 227 (B) 240 (C) 987 (D) 178 (E) 171
Answer: B
Rs.630/- distributed among A,B and C such that on decreasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:? Answer Choice: (A) Rs.160/- (B) Rs.170/- (C) Rs.180/- (D) Rs.190/- (E) Rs.200/-
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) 227 (B) 1668 (C) 5400 (D) 1688 (E) 1671
Answer: C
If q>0.9, which of the following options can be the value of q? Answer Choice: (A) 0.9^2 (B) √(0.9) (C) 0.09 (D) 0.9 (E) 0.9^3
Answer: B
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work? Answer Choice: (A) 20 days (B) 19 days (C) 10 days (D) 12 days (E) 15 days
Answer: A
After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is ? Answer Choice: (A) Rs. 10000 (B) Rs. 10074.75 (C) Rs. 10100 (D) None of these (E) Cannot be determined
Answer: C
During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination? Answer Choice: (A) 280 (B) 320 (C) 360 (D) 420 (E) 480
Answer: A
A train traveling at 144 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters? Answer Choice: (A) 240 meters (B) 360 meters (C) 480 meters (D) 600 meters (E) Cannot be determined
Answer: C
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 80 m, then its area is?? Answer Choice: (A) 2000 m^2 (B) 2340 m^2 (C) 375 m^2 (D) 2556 m^2 (E) 2534 m^2
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green? Answer Choice: (A) 23/35 (B) 23/36 (C) 23/18 (D) 23/17 (E) 23/12
Answer: A
What values of 'x' will be the solution to the inequality 15x - 2/x > 1? Answer Choice: (A) x > 0.4 (B) x < 1/3 (C) -1/3 < x < 0.4, x > 15/2 (D) -1/3 < x < 0, x > 2/5 (E) x < --1/3 or x > 2/5
Answer: D
In case K is the only individual sewing on committee B, which among the following shouldserve on committee A? Answer Choice: (A) V and U (B) V and T (C) U and S (D) L and M (E) T and U
Answer: D
What is the sum of digits of (5!*4!*3!*2! - 144*120)/5! Answer Choice: (A) 22 (B) 4 (C) 12 (D) 3 (E) 7
Answer: D
Find the distance covered by a man walking for 42 min at a speed of 10km/hr? Answer Choice: (A) 7km (B) 3km (C) 4km (D) 5km (E) 6km
Answer: A
Which expression has the greatest value? Answer Choice: (A) 1977452/1977455 (B) 1982466/1982469 (C) 1982487/1982490 (D) 1982456/1982459 (E) 1982465/1982468
Answer: C
If positive integer k is divided by 14, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a prime number
III. k is divisible by 4 Answer Choice: (A) None (B) I (C) II (D) III (E) I and II only
Answer: A
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44.5 meters. How many times did the ball bounce? Answer Choice: (A) 4 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
A can do a work in 24 days and B can do it in 8 days. In how many days A and B can do the work? Answer Choice: (A) 20 days (B) 10 days (C) 6 days (D) 8 days (E) 7 days
Answer: C
A gambler bought $5,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back? Answer Choice: (A) $4,040 (B) $4,120 (C) $1,960 (D) $4,920 (E) $1,400
Answer: B
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is: Answer Choice: (A) 32 (B) 4/7 (C) 6/15 (D) 1/26 (E) 8/16
Answer: D
What is the ratio whose term differ by 50 and the measure of which is 2/7? Answer Choice: (A) A)32:23 (B) B)16:56 (C) C)71:85 (D) D)20:70 (E) E)41:52
Answer: D
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 65.0. What is the quiz score of the student who dropped the class? Answer Choice: (A) a) 10 (B) b) 25 (C) c) 40 (D) d) 55 (E) e) 70
Answer: B
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c? Answer Choice: (A) 38029 (B) 38000 (C) 38028 (D) 38009 (E) 38019
Answer: B
If $1092 are divided between worker A and worker B in the ratio 5:8,what is the share that worker B will get? Answer Choice: (A) 60.32% (B) 61.54% (C) 62.21% (D) 62.76% (E) 63.87%
Answer: B
The public library has exactly 2 floors. It has 2/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 1/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor? Answer Choice: (A) 1/4 (B) 9/10 (C) 5/9 (D) 9/14 (E) 5/6
Answer: B
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 E of a cube whose surface area is equal to 6z? Answer Choice: (A) E=16 (B) E=8√2 (C) E=8 (D) E=2√2 (E) (√2)/3
Answer: D
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is? Answer Choice: (A) 52.6 (B) 52.9 (C) 52.8 (D) 52.1 (E) 52.2
Answer: C
A straight line in the xy- plane has y-intercept of 79 and slope of 6. On this line the y-coordinate of the point is 14, then what is the X-coordinate of the point? Answer Choice: (A) 11 (B) -10.83 (C) 71 (D) 20.83 (E) -12
Answer: B
Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7) Answer Choice: (A) 3 (B) 3.2 (C) 3.6 (D) 3.8 (E) 3.5
Answer: C
A car covers a distance of 624 km in 4 hours. Find its speed? Answer Choice: (A) 104 kmph (B) 126 kmph (C) 156 kmph (D) 174 kmph (E) 101 kmph
Answer: C
7500 + (1250 / 50) Answer Choice: (A) 7500 (B) 7525 (C) 7550 (D) 8000 (E) None of these
Answer: B
A driver paid n dollars for auto insurance for the year 1997. This annual premium was raised by p percent for the year 1998; for each of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure. If the driver’s insurance premium for the year 2000 was again n dollars, what is the value of p? Answer Choice: (A) 12 (B) 33 1/3 (C) 36 (D) 44 (E) 50
Answer: D
Which of the following is equal to the cube of a non-integer? Answer Choice: (A) –64 (B) –1 (C) 8 (D) 9 (E) 27
Answer: D
Two sides of a triangle have lengths x and e and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to e ? Answer Choice: (A) a) 2 : 3 (B) b) 3 : 4 (C) c) 4 : 3 (D) d) 3 : 2 (E) e) 2 : 1
Answer: B
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.11. How much did the meal cost without the tip? Answer Choice: (A) $28.98 (B) $29.91 (C) $30.40 (D) $30.60 (E) $30.85
Answer: C
A amount doubles itself in 15 years. what is the rate of interest? Answer Choice: (A) 20/3 % (B) 10/3 % (C) 40/3 % (D) 50/3 % (E) 70/3 %
Answer: A
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 15 different models of televisions, what is the minimum number of letters that must be used to make the codes? Answer Choice: (A) 6 (B) 7 (C) 4 (D) 9 (E) 10
Answer: C
The number of stamps that P and Q had were in the ratio of 7:3 respectively. After P gave Q 13 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 5:4. As a result of the gift, P had how many more stamps than Q? Answer Choice: (A) 10 (B) 25 (C) 40 (D) 65 (E) 90
Answer: A
Solution Y is 30 percent liquid X and 70 percent water. If 3 kilograms of water evaporate from 8 kilograms of solution Y and 3 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X? Answer Choice: (A) 35% (B) 37% (C) 41.3% (D) 42% (E) 45%
Answer: C
40% of a number is added to 120, the result is the same number. Find the number? Answer Choice: (A) 400 (B) 288 (C) 1687 (D) 997 (E) 121
Answer: A
The average of first 22 natural numbers is? Answer Choice: (A) 11.6 (B) 11.5 (C) 12.9 (D) 15.4 (E) 15.1
Answer: B
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person? Answer Choice: (A) 18 years (B) 20 years (C) 24 years (D) 32 years (E) 34 years
Answer: A
Pointing to a photograph, a lady tells Pramod, "I am the only daughter of this lady and her son is your maternal uncle." How is the speaker related to Pramod's father Answer Choice: (A) Sister-in-law (B) Wife (C) Either (a) or (b) (D) Neither (a) nor (b) (E) Either B) or (A)
Answer: B
Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature E in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6 Answer Choice: (A) 29 (B) 30 (C) 30.5 (D) 31 (E) 32
Answer: B
If two letters are chosen at random (without replacement) from the word HORSEBACK, what is the probability that none of the letters are vowels? Answer Choice: (A) 4/9 (B) 5/9 (C) 5/12 (D) 7/24 (E) 11/36
Answer: C
You collect baseball cards. Suppose you start out with 11. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end? Answer Choice: (A) 12 (B) 18 (C) 19 (D) 20 (E) 21
Answer: A
Find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3. Answer Choice: (A) 131 (B) 197 (C) 207 (D) 219 (E) 227
Answer: A
A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number. Answer Choice: (A) 42 (B) 24 (C) 48 (D) Data inadequate (E) None of these
Answer: A
Ross has 20 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green. Answer Choice: (A) 3 ; 5. (B) 3 ; 6. (C) 3 ; 7. (D) 3 ; 8. (E) 3 ; 9.
Answer: A
Consider an equilateral triangle 4ABC with unit side length. Let M be the midpoint of side
AB. A ball is released in a straight line from M and bounces o the side BC at a point D.
Then, it bounces o the side CA at a point E and lands exactly at B. By the law of re
ection,
we have \BDM = \CDE and \CED = \AEB. Calculate MD + DE + EB, the distance
that the ball travels before reaching B. Answer Choice: (A) √12/2 (B) √11/2 (C) √13/2 (D) √14/2 (E) √17/2
Answer: C
A firm has 4 senior partners and 6 junior partners. How many different groups D of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different) Answer Choice: (A) 48 (B) 100 (C) 120 (D) 288 (E) 600
Answer: B
A man's speed with the current is 30km/hr and the speed of the current is 5 km/hr. The man's speed against the current is Answer Choice: (A) 10 km/hr (B) 20 km/hr (C) 25 km/hr (D) 30 km/hr (E) 35 km/hr
Answer: B