loafeihong/math_mmlu_format huggingface dataset:
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is? Answer Choice: (A) 299 m (B) 982 m (C) 399 m (D) 150 m (E) 354 m
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train? Answer Choice: (A) 150 (B) 872 (C) 250 (D) 288 (E) 212
Answer: C
(469 + 174)2 - (469 - 174)2	/(469 x 174)=? Answer Choice: (A) 2 (B) 4 (C) 295 (D) 643 (E) 123
Answer: B
What is the sum of all the composite numbers up to 20? Answer Choice: (A) 228 (B) 277 (C) 198 (D) 132 (E) 281
Answer: D
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet? Answer Choice: (A) 10/7 sec (B) 12/7 sec (C) 20/7 sec (D) 17/7 sec (E) 19/7 sec
Answer: C
A boy has five trousers and 14 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 60 (B) 278 (C) 70 (D) 108 (E) 271
Answer: C
If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will be the cost of 24 erasers and 10 sharpeners? Answer Choice: (A) Rs.62/- (B) Rs.84/- (C) Rs.78/- (D) Rs.150 (E) None of these
Answer: C
In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together? Answer Choice: (A) 9! (B) 3!*4!*2! (C) 5!*5! (D) 5!*4!*2! (E) 6!*4!
Answer: B
Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 6 hours, how many minutes did it take Cole to drive to work? Answer Choice: (A) 84 (B) 136 (C) 172 (D) 210 (E) 478
Answer: D
A dice has one of the first 4 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 10 times and the results added.the addition is most likely to be closet to Answer Choice: (A) 41 (B) 43 (C) 60 (D) 68 (E) 70
Answer: B
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 350 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day? Answer Choice: (A) $ 1.50 (B) $ 1.88 (C) $ 2.14 (D) $ 2.50 (E) $ 3.25
Answer: C
Akhil borrowed a certain sum of money at the rate of 6%, 9% and 14% for a period of first two years, next three years and beyond the period of five years respectively. If at the end of nine years, he paid Rs. 8550 as interest, then find the sum of money he had borrowed. Answer Choice: (A) Rs. 9,000 (B) Rs.14,000 (C) Rs.15,000 (D) Rs.18,000 (E) None of these
Answer: A
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 70 (B) 71 (C) 72 (D) 73 (E) 74
Answer: C
An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold Answer Choice: (A) a.	A - 40 (B) b.	B - 15 (C) c.	C – 22.5 (D) d.	D – 30 (E) e.	E – 67.5
Answer: A
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number Answer Choice: (A) 17 (B) 15 (C) 8 (D) 3 (E) 2
Answer: D
In a class, the average age of 45 boys is 18 years and the average of 35 girls is 15 years. what is the average age of the whole class? Answer Choice: (A) 11 Years (B) 12.6 Years (C) 13 Years (D) 16.6 Years (E) 14 Years
Answer: D
40, 45, 50, 50, 60, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.7, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
I chose a number and divide it by 6. Then I subtracted 15 from the result and got 5. What was the number I chose? Answer Choice: (A) 600 (B) 700 (C) 120 (D) 900 (E) None
Answer: C
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?” After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers.” The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold are Answer Choice: (A) 36 (B) 37 (C) 38 (D) 39 (E) 40
Answer: B
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9} Answer Choice: (A) 27 (B) 28 (C) 29 (D) 34 (E) 60
Answer: E
If 145% of j is equal to 25% of k, 160% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 40% of m is equal to what percent of 200% of j ? Answer Choice: (A) 0.35 (B) 3.5 (C) 35 (D) 700 (E) 3500
Answer: D
A sum fetched total simple interest of 4016.25 at the rate of 14 p.c.p.a. in 5 years. What is the sum? Answer Choice: (A) 5737.5 (B) 8032.5 (C) 4462.5 (D) 8900 (E) None of these
Answer: A
Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
maximum values of (X/Y) = ? Answer Choice: (A) 48/38 (B) 48/43 (C) 48/33 (D) 38/33 (E) 48/35
Answer: C
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9hours. If both the taps are opened simultaneously then after how much time will the cistern get filled? Answer Choice: (A) 6hr (B) 5.6hr (C) 9.5hr (D) 7.2hr (E) 4hr
Answer: D
Find the simple interest on Rs 7000 at 50/3 % for 9 months Answer Choice: (A) Rs. 1075 (B) Rs. 975 (C) Rs. 875 (D) Rs. 775 (E) None of these
Answer: C
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is? Answer Choice: (A) 29 (B) 29 (C) 60 (D) 19 (E) 12
Answer: C
If the selling price is septuple,the profit is octupled,what is the percentage of profit?? Answer Choice: (A) 50% (B) 100% (C) 150% (D) 200% (E) 250%
Answer: B
N is a positive integer. When N + 1 is divided by 3, the remainder is 2. What is the remainder when N is divided by 3? Answer Choice: (A) 1 (B) 5 (C) 4 (D) 3 (E) 2
Answer: A
Find the odd man out. 1,8,27,60,125 Answer Choice: (A) 216 (B) 125 (C) 185 (D) 64 (E) 14
Answer: D
On dividing 161 by a number, the quotient is 10 and the remainder is 1. Find the divisor. Answer Choice: (A) A)12 (B) B)14 (C) C)16 (D) D)18 (E) E)22
Answer: C
A metallic sphere of radius 24 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Answer Choice: (A) 26 cm (B) 45 cm (C) 58 cm (D) 63 cm (E) 72 cm
Answer: E
A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour? Answer Choice: (A) 70.24km/hr (B) 74.24km/hr (C) 71.11km/hr (D) 72.21km/hr (E) 75.32km/hr
Answer: C
The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area? Answer Choice: (A) 376 (B) 148 (C) 216 (D) 168 (E) 178
Answer: B
The EastBank Choir out sold the WestBank Choir by 40% of the 100 boxes of donuts they ordered. The EastBank Choir hustled and made all of the last sales closing the sale with an average of only 25%. How many more sales did the choir make to reach this average? Answer Choice: (A) 20 (B) 5 (C) 10 (D) 15 (E) 25
Answer: A
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture Answer Choice: (A) 20 (B) 30 (C) 15 (D) 10 (E) 25
Answer: D
Which of the following integers is NOT a divisor of x if x = (21)(3^7) – (127)? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 12 (E) 25
Answer: D
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is? Answer Choice: (A) 56 (B) 86 (C) 55 (D) 87 (E) 88
Answer: C
A certain sum of money at simple interest amounted Rs.870 in 10 years at 3% per annum, find the sum? Answer Choice: (A) 665.23 (B) 666.23 (C) 667.23 (D) 668.23 (E) 669.23
Answer: E
Find the compound ratio of (2:3), (6:11) and (11:6) is Answer Choice: (A) 3:2 (B) 2:1 (C) 1:2 (D) 4:5 (E) 2:3
Answer: E
A three-person committee must be chosen from a group of 7 professors and 20 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee? Answer Choice: (A) A)70 (B) B)1785 (C) C)630 (D) D)1,260 (E) E)1,980
Answer: B
When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country? Answer Choice: (A) 166 2/7 (B) 166 2/1 (C) 166 2/2 (D) 166 2/3 (E) 166 2/8
Answer: D
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 40 kms. what was the total distance traveled in 12 hours? Answer Choice: (A) 252 kms (B) 152 kms (C) 612 kms (D) 752 kms (E) 152 kms
Answer: C
he average of 10 numbers is 23. If each number is increased by 4, what will the new average be? Answer Choice: (A) 26 (B) 27 (C) 88 (D) 99 (E) 12
Answer: B
If x is a positive integer, and two sides of a certain triangle have lengths 5x+1 and x respectively, which of the following could be the length of the third side of the triangle?
I. x + 1
II. x + 0
III. 8x Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II and III
Answer: C
A certain list consists of 21 different numbers. If n is in the list and n is 7 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list? Answer Choice: (A) 7/27 (B) 1/6 (C) 1/5 (D) 4/21 (E) 5/21
Answer: A
The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers? Answer Choice: (A) 14 (B) 17 (C) 18 (D) 19 (E) 20
Answer: C
A car after travelling 100 km from point A meets with an accident and then proceeds at 3/4 of its original speed and arrives at the point B 90 minutes late. If the car meets the accident 60 km further on, it would have reached 15 minutes sooner. Find the original speed of the train? Answer Choice: (A) 60km/hr (B) 80km/hr (C) 100km/hr (D) 120km/hr (E) None of these
Answer: B
A 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Answer Choice: (A) 230m (B) 240m (C) 250m (D) 260m (E) 280m
Answer: E
A restaurant has 89 yellow dishes and 11 white dishes. If I go there with my wife, and we ordered one service each one, what is the probability that both dishes will be white? Answer Choice: (A)  1/100 (B)  2/100 (C)  1/90 (D)  2/90 (E)  1/89
Answer: C
The average of 9 numbers is 13.8. If the average of the first five numbers is 13.6 and that of the last five numbers is 13.4,then the middle number is? Answer Choice: (A) 11.8 (B) 10.8 (C) 9.8 (D) 8.8 (E) 8.6
Answer: B
A bank offers 4.5% compound interest calculated on half-yearly basis. A customer deposits $ 1500 in 1st month. At the end of the year, the amount he would have gained by way of interest is? Answer Choice: (A) 100 (B) 90 (C) 60 (D) 77 (E) 85
Answer: D
According to a survey, at least 80% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 0% (E) 35%
Answer: E
What is the volume of an tetrahedron with edge length of 1? Answer Choice: (A) sqr(2)/12 = 0.11785113 (B) sqr(2)/14=0.13571785 (C) sqr(2)/12=0.15798562 (D) sqr(2)/13=0.21254478 (E) sqr(2)/12=0.12457896
Answer: A
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0 Answer Choice: (A) If x>y (B) If x>=y (C) If x<y (D) If x<=y (E) x=y or relationship cannot be established
Answer: E
A sum of Rs. 1800 amounts to Rs. 9000 in 4 years at the rate of simple interest. What is the rate of interest? Answer Choice: (A) 50% (B) 75% (C) 100% (D) 60% (E) 25%
Answer: C
Look at this series: 14, 7, (7/2), (7/4), ... What number should come next? Answer Choice: (A) 1/8 (B) 3/8 (C) 7/8 (D) 5/8 (E) 6/8
Answer: C
A pharmacist has 4 quarts of a 15% solution of iodine. How much alcohol must be added to
reduce it to a 10% solution of iodine? Answer Choice: (A) 1 quart (B) 2 quarts (C) 3 quarts (D) 4 quarts (E) 5 quarts
Answer: B
If x ¤ y = (x + y)^2 - (x - y)^2. Then √2 ¤ √2 = Answer Choice: (A) 0 (B) 8 (C) 10 (D) 15 (E) 20
Answer: B
The first Republic Day of India was celebrated on 26th January, 1950. It was : Answer Choice: (A) Tuesday (B) Wednesday (C) Thursday (D) Friday (E) None of these
Answer: C
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 247 m (B) 256 m (C) 245 m (D) 527 m (E) 725 m
Answer: C
What is the reciprocal of (AB)/(A+B)^2? Answer Choice: (A) (AB)/(A^2+2AB+B^2) (B) A/B+B/A+AB (C) B/A+A/B+2 (D) (A+B)^2/AB (E) A/B+2AB
Answer: C
8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is : Answer Choice: (A) 1/41 (B) 11/23 (C) 15/39 (D) 15/18 (E) 21/31
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 $1.75? Answer Choice: (A) 1280 (B) 1145 (C) 1040 (D) 950 (E) 260
Answer: A
40 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 5:3. How many liters of Liquid Q must be added to make the ratio 5:6? Answer Choice: (A) 5 (B) 8 (C) 10 (D) 12 (E) 15
Answer: E
In a store 6 different CDs are there. If John can buy 2 CDs, how many cases that he can buy are there? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24
Answer: B
What percent of a day is 15 hours? Answer Choice: (A) 37Ã—1/2% (B) 16Ã—1/2% (C) 18Ã—2/3% (D) 22Ã—1/2% (E) None
Answer: A
If P * Q implies (P2 + Q2), 8 * (3 * 2) = ? Answer Choice: (A) 239 (B) 278 (C) 233 (D) 2697 (E) 771
Answer: C
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 100 pages? Answer Choice: (A) 8 hours 30 mins (B) 8 hours (C) 9 hours (D) 7 hours (E) 6 hours
Answer: A
Country X taxes each of its citizens an amount equal to 10 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income? Answer Choice: (A) $40,000 (B) $56,000 (C) $60,000 (D) $66,667 (E) $80,000
Answer: C
The total weight of eight nougat nuggets is 3 oz. What is the average (arithmetic mean) weight of one such nougat nugget? Answer Choice: (A) 0.18 oz. (B) 0.375 oz. (C) 1.8 oz. (D) 5 oz. (E) 18 oz
Answer: B
Last year a certain bond price with a face value of 5000 yielded 6% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price? Answer Choice: (A) 4615 (B) 5325 (C) 5351 (D) 6000 (E) 6154
Answer: A
On a map, 1 inch represents 28 miles. How many Z inches would be necessary to represent a distance of 383.6 miles? Answer Choice: (A) 5.2 (B) 7.4 (C) 13.7 (D) 21.2 (E) 28.7
Answer: C
Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share thrice, no apples were left.How many apples were there? Answer Choice: (A) 500 (B) 510 (C) 511 (D) 501 (E) 504
Answer: C
4 years ago, Paula was 4 times as old as Karl. In 12 years, Paula will be twice as old as Karl. What is the sum of their ages now? Answer Choice: (A) 36 (B) 40 (C) 44 (D) 48 (E) 52
Answer: D
Find the average of the series : 220, 180, 328, 147 and 160? Answer Choice: (A) 230 (B) 200 (C) 250 (D) 201 (E) 207
Answer: E
If 20% of a number = 1000, then 120% of that number will be? Answer Choice: (A) 20 (B) 120 (C) 360 (D) 6000 (E) 820
Answer: D
In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 300 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 40% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ? Answer Choice: (A) 40 ml (B) 100/3 ml (C) 140 ml (D) 20/3 ml (E) 10 ml
Answer: C
What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged? Answer Choice: (A) 1/4 (B) 1/6 (C) 1/3 (D) 1/24 (E) 1/12
Answer: A
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical? Answer Choice: (A)  25% (B)  28.1% (C)  20% (D)  12.5% (E)  11.1%
Answer: B
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different W ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter? Answer Choice: (A) 5 (B) 6 (C) 9 (D) 12 (E) 18
Answer: D
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0? Answer Choice: (A) 1/12 (B) 1/6 (C) 1/4 (D) 1/3 (E) 1/2
Answer: B
At a certain high school, the senior class is twice the size of the junior class. If 7/8 of the seniors and 1/2 of the juniors study Japanese, what fraction of the students in both classes study Japanese? Answer Choice: (A) 3/4 (B) 1/2 (C) 1/4 (D) 3/8 (E) 5/16
Answer: A
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price? Answer Choice: (A) Rs.430/- (B) Rs.440/- (C) Rs.480/- (D) Rs.490/- (E) Rs.500/-
Answer: C
The ratio of two quantities is 5 : 8. If each of the quantities is increased by 10, what is the ratio of the new quantities? Answer Choice: (A) 5:8 (B) 50:78 (C) 2:3 (D) It cannot be determined from the information given. (E) 6:7
Answer: D
$364 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share? Answer Choice: (A) $200 (B) $204 (C) $208 (D) $212 (E) $216
Answer: C
If the tens digit of positive integers q, y are 6, how many values of the tens digit of 2(q+y) can be there? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
The difference between a number and its three-fifth is 50. What is the number ? Answer Choice: (A) 75 (B) 100 (C) 125 (D) none of these (E) 95
Answer: C
In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 2 ? Answer Choice: (A) âˆ’9/2 (B) -4 (C) -3 (D) 6 (E) 9/2
Answer: D
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 25 km in 10 hours. How much time he would have saved if the direction of tide has not changed? Answer Choice: (A) 2 (B) 5 (C) 1 (D) 6 (E) 7
Answer: B
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 35 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order? Answer Choice: (A)  3 (B)  5 (C)  7 (D)  16 (E)  24
Answer: C
What least number must be added to 9879, so that the sum is completely divisible by 10 ? Answer Choice: (A) 3 (B) 4 (C) 1 (D) 2 (E) 6
Answer: C
IN Common Wealth Games an athlete runs 200 meters in 24 seconds. Hisspeed is ? Answer Choice: (A) 25 km/hr (B) 27 km/hr (C) 30 km/hr (D) 32 km/hr (E) None of these
Answer: C
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is: Answer Choice: (A) 20 (B) 30 (C) 40 (D) 50 (E) 10
Answer: A
Anand and Deepak started a business investing Rs. 6,000 and Rs. 7,000 respectively. Out of a total profit of Rs. 1,300. Deepak's share is? Answer Choice: (A) s. 650 (B) s. 780 (C) s. 800 (D) s. 760 (E) s. 700
Answer: E
An art gallery owner is hanging paintings for a new show. Of the seven paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings? Answer Choice: (A) 18 (B) 30 (C) 64 (D) 120 (E) 210
Answer: E
If a2 - b2 = 10 and a*b = 5, find a4 + b4. Answer Choice: (A) 50 (B) 100 (C) 150 (D) 92 (E) 25
Answer: C
A numberais squared and then multiplied by negative 3. The result of this operation T is equal to three times the sum of three timesaand two. What is one possible value ofa? Answer Choice: (A) -3 (B) -2 (C) 1 (D) 2 (E) 3
Answer: B
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes). Answer Choice: (A) 22 min (B) 30 min (C) 87 min (D) 26 min (E) 11 min
Answer: B
If 9a - b = 10b + 50 = -12b - 2a, what is the value of 11a + 11b? Answer Choice: (A) -4 (B) -2 (C) 0 (D) 2 (E) 4
Answer: C
If 40 percent of the members of a certain organization are women and 4/8 of the members of the organization are married men, which of the following statements concerning the membership must be true?
I. The number of women in the organization is greater than the number of married men in the organization.
II. The number of women in the organization is greater than the number of unmarried men in the organization.
III. The number of married men in the organization is greater than the number of unmarried men in the organization. Answer Choice: (A) I,II (B) III (C) II,III (D) II (E) I
Answer: A
What is the remainder when (71)(73) is divided by 9? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8
Answer: E
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: Answer Choice: (A) 40 kg (B) 42kg (C) 50kg (D) 58kg (E) 60 kg
Answer: E
Look at this series: 70, 71, 76, 70, 81, __, 70, 91, ... What number should fill the blank? Answer Choice: (A) 70 (B) 86 (C) 82 (D) 77 (E) 52
Answer: B
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? Answer Choice: (A) 2:7 (B) 2:3 (C) 2:1 (D) 2:9 (E) 2:2
Answer: B
What is the smallest positive integer X such that (X+1)^2 is divisible by 28, 98, 242, and 308? Answer Choice: (A) 153 (B) 308 (C) 121 (D) 96 (E) 511
Answer: A
The area of a right-angled triangle is two-thirds of the area of a rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200 cm, what is the height of the triangle? Answer Choice: (A) 20 cm (B) 30 cm (C) 15 cm (D) Data inadequate (E) None of these
Answer: D
If t and g are distinct prime numbers less than 10, which of the following cannot be the product of t and g? Answer Choice: (A) 6 (B) 9 (C) 10 (D) 14 (E) 15
Answer: B