loafeihong/math_mmlu_format huggingface dataset:
A and B’s salaries together amount to Rs. 3,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary? Answer Choice: (A) 777 (B) 750 (C) 789 (D) 776 (E) 881
Answer: B
If n divided by 5 has a remainder of 4, what is the remainder when 3 times n is divided by 5? Answer Choice: (A) 1 (B) 4 (C) 3 (D) 2 (E) 0
Answer: D
How many natural numbers that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 78? Answer Choice: (A) 5000 (B) 4096 (C) 6560 (D) 4095 (E) 8000
Answer: D
Efrida and Frazer who live 13 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 10 (E) 11
Answer: E
which of the following is odd, if r is even and t is odd? Answer Choice: (A) rt (B) 5rt (C) 6r + 5t (D) 5r + 6t (E) 6(r^2)t
Answer: C
In triangle PQR, the angle Q = 90 degree, PQ = 5 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Answer Choice: (A) 3.6 cm (B) 2.4 cm (C) 4.0 cm (D) 2.16 cm (E) 3.2 cm
Answer: C
A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers? Answer Choice: (A) 652 (B) 634 (C) 729 (D) 850 (E) 870
Answer: C
A salesperson receives a base salary of $1100 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be? Answer Choice: (A) $1,500 (B) $1,800 (C) $2,100 (D) $2,500 (E) $2,900
Answer: E
A year ago, the ratio of Betty's and Chi's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Betty? Answer Choice: (A) 34 years (B) 29 yeras (C) 25 years (D) 30 years (E) 40 years
Answer: C
Randy can rebuild an automobile engine in b hours. Alvin can rebuild the same engine in a hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Alvin will have to complete? Answer Choice: (A) b/(a+b) (B) (a-b)/(a+b) (C) b/(b-a) (D) ab/(a+b) (E) a/(a+b)
Answer: A
in 10 year, A willbe twice as old as B was 10 year ago. if A is now 9 year older then B, the present age of B is Answer Choice: (A) 19 years (B) 29 years (C) 39 years (D) 49 years (E) None of these
Answer: C
20% of a number is added to 120, the result is the same number. Find the number? Answer Choice: (A) 150 (B) 288 (C) 1687 (D) 997 (E) 121
Answer: A
What is the number of integers from 1 to 900 (inclusive) that are divisible by neither 11 nor by 35? Answer Choice: (A) 884 (B) 890 (C) 892 (D) 910 (E) 945
Answer: C
Shreyas bought an article and sold it for 140% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.29750/-? Answer Choice: (A) Rs.24600 (B) Rs.21250 (C) Rs.24250 (D) Rs.23200 (E) None of these
Answer: B
The sum of the present ages of A, B, C is 51 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: D
Insert the missing number
9, 12, 11, 14, 13, ..., 15 Answer Choice: (A) 12 (B) 16 (C) 10 (D) 17 (E) 18
Answer: B
what is the unit digit in (4137)^754? Answer Choice: (A) 1 (B) 3 (C) 7 (D) 9 (E) None of them
Answer: D
A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability W that both selected dogs are NOT littermates? Answer Choice: (A) 1/6 (B) 2/9 (C) 5/6 (D) 7/9 (E) 8/9
Answer: C
Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible? Answer Choice: (A) 120 (B) 126 (C) 252 (D) 1200 (E) 1365
Answer: E
Find the value of x: x² − 3x + 2 Answer Choice: (A) -1 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
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 10 p.c? Answer Choice: (A) 38028 (B) 38000 (C) 32977 (D) 38128 (E) 36000
Answer: E
A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answer Choice: (A) 2898 (B) 277 (C) 500 (D) 100 (E) 435
Answer: D
If 1 pound of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture? Answer Choice: (A) (x + 2y)/5 (B) (x + 2y)/(x + y) (C) (x + 2y)/(xy) (D) 5(x + 2y) (E) x + 2y
Answer: A
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.75 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is? Answer Choice: (A) 12 (B) 72 (C) 48 (D) 99 (E) 11
Answer: B
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 1010000 and 10100000 ? Answer Choice: (A)  10 (B)  11 (C)  101 (D)  1011 (E)  10001
Answer: C
An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $2,160, what was the total number of pairs of contact lenses that she sold? Answer Choice: (A)  11 (B)  13 (C)  15 (D)  17 (E)  19
Answer: D
One pump drains one-half of a pond in 2 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone? Answer Choice: (A) 1.3 hour (B) 1.2 hour (C) 3 hours (D) 5 hours (E) 6 hours
Answer: A
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 14 inches on a side and costs $10, and a large pizza that measures 21 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? Answer Choice: (A) 5 square inches (B) 10 square inches (C) 49 square inches (D) 25 square inches (E) 350 square inches
Answer: C
Find a sum for 1st 7 prime number's? Answer Choice: (A) 25 (B) 28 (C) 58 (D) 34 (E) 36
Answer: C
If x is a positive number and 2 the square root of x is equal to x/2, then x = Answer Choice: (A) 1/16 (B) 4 (C) 1 (D) 2 (E) 8
Answer: C
A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 4 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase? Answer Choice: (A) 22 (B) 28 (C) 77 (D) 99 (E) 234
Answer: E
If seven persons sit in a row, then the probability that three particular persons are always together is? Answer Choice: (A) 1/5 (B) 1/4 (C) 1/9 (D) 1/6 (E) 1/7
Answer: E
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle? Answer Choice: (A) 18 (B) 16 (C) 12 (D) 10 (E) 14
Answer: C
If p is not equal to zero, and p+1/p = 5, then what is the value of p^4 + (1/p)^4? Answer Choice: (A) 527 (B) 247 (C) 547 (D) 527 (E) 537
Answer: D
Doug bought bananas on sale for 5% off the original price and another 10% off the discounted price. If the final price was $5, what was the price before the first discount? Answer Choice: (A) $5.15 (B) $5.35 (C) $5.85 (D) $6.14 (E) $4.85
Answer: C
Sequence W consists of 16 consecutive integers. If -6 is the least integer in sequence W, what is the range of the positive integers in sequence W? Answer Choice: (A)  16 (B)  15 (C)  9 (D)  8 (E)  7
Answer: D
What is the product of all positive factors of 24? Answer Choice: (A) 351776 (B) 331476 (C) 331776 (D) 332976 (E) 331776
Answer: E
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 8 (E) 2
Answer: A
For any real number x, the operatoris defined as:
(x) = x(4 − x)
If p + 1 =(p + 1), then p = Answer Choice: (A) −4 (B) 0 (C) 1 (D) 2 (E) 3
Answer: E
Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that the last two of the three cards are spades? (Answer in lowest terms). Answer Choice: (A) 18/750 (B) 19/750 (C) 18/850 (D) 39/850 (E) 39/750
Answer: D
A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 2 pineapples (E) 3
Answer: D
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 115, 124}, which of the following is largest? Answer Choice: (A) The average (arithmetic mean) of set S (B) The median of set S (C) The mode of set S (D) The range of set S (E) The standard deviation of set S
Answer: A
If f(x)= 2x^2- 3x+5 and g(y)= 2y-4, then g(f(x)) Answer Choice: (A) 7x^2+45x+9 (B) 9x^2-15x+4 (C) 4x^2-6x+6 (D) 8x^2-9x+6 (E) 9x^2+79x+78
Answer: C
Jack and Dick work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Jack and Dick will both be chosen? Answer Choice: (A) A)1/3 (B) B)1/4 (C) C)1/15 (D) D)3/8 (E) E)2/3
Answer: C
In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies Answer Choice: (A) 250 (B) 150 (C) 100 (D) 50 (E) 200
Answer: E
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 3300 in all from both of them as interest. The rate of interest per annum is? Answer Choice: (A) 16% (B) 12% (C) 74% (D) 10% (E) 15%
Answer: E
Sripad has scored average of 60 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ? Answer Choice: (A) 79 (B) 64 (C) 38 (D) 27 (E) 21
Answer: B
(a/2)/(b/c)
In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the largest possible value of the expression? Answer Choice: (A) 8/2 (B) 2/4 (C) 1/8 (D) 2/4 (E) 4/6
Answer: A
Find the unit's digit in (264)^102 + (264)^103 Answer Choice: (A) 0 (B) 2 (C) 5 (D) 3 (E) 4
Answer: A
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1/2 m board? Answer Choice: (A) 99 (B) 132 (C) 16 (D) 10 (E) 15
Answer: B
If x is an integer and (x)(x^2)(x^3)(x^4) is positive, which of the following could be negative? Answer Choice: (A) x^4 (B) (x)(x^3) (C) (x)(x) (D) 3x^2 (E) x + x^5
Answer: E
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,500, what is the bonds face value? Answer Choice: (A)  $6,000 (B)  $6,800 (C)  $7,425 (D)  $7,500 (E)  $9,375
Answer: B
What will be the compound interest earned on an amount of Rs. 5000 in 2 years?
I.	The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000.
II.	The compound interest and the simple interest earned in one year is the same.
III.	The amount becomed more than double on compound interest in 10 years. Answer Choice: (A) I only (B) I and II only (C) II and III only (D) I and III only (E) None of these
Answer: A
A polling company reports that there is a 20% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z? Answer Choice: (A) 10 (B) 8 (C) 6 (D) 4 (E) 5
Answer: D
Two pipes A and B can fill a cistern in 22 and 44 minutes respectively, and a third pipe C can empty it in 48 minutes. How long will it take to fill the cistern if all the three are opened at the same time? Answer Choice: (A) 18 1/9 min (B) 21 1/8 min (C) 21 3/25 min (D) 18 8/7 min (E) 19 3/7 min
Answer: C
How many positive integers will divide evenly into 230? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 12 (E) 16
Answer: C
Find the next number in the Sequence
8, 18, 48, 98, ? Answer Choice: (A) 163 (B) 368 (C) 169 (D) 162 (E) 168
Answer: E
If $0.40 is the commission for sales of $1,000, what percent of the sales amount is the commission? Answer Choice: (A) 4% (B) 0.4% (C) 0.04% (D) 0.004% (E) 0.0004%
Answer: C
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? Answer Choice: (A) 2.6 (B) 2.0 (C) 2.5 (D) 2.1 (E) 2.3
Answer: C
A problem in mathematics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them try independently. Answer Choice: (A) 29/32 (B) 30 (C) 31/33 (D) 31/35 (E) 33
Answer: A
Large number of people went to an party and they decided to make some fun at the bar.
The first person asks the barman for half a pint of beer.
The second person asks for a quarter pint of beer
The third person asks for one-eighth of beer and so on ...
How many pints of beer will the barman need to fulfill the people need of beer ? Answer Choice: (A) 1 (B) 3 (C) 6 (D) 2 (E) 8
Answer: A
Mr. CRUISE invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 48% and Fund Y paid 23%. The interest earned in Fund Y was exactly $100 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X? Answer Choice: (A) 34,234.78 (B) 56,566.24 (C) 34,565.54 (D) 48,343.45 (E) 69,545.45
Answer: E
What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x Answer Choice: (A) 336 (B) 430 (C) 530 (D) 560 (E) 609
Answer: A
The distance traveled by Helicopter in one year approximately 750,000,000 miles.The distance traveled by helicopter in 15 years? Answer Choice: (A) 10<4> (B) 10<6> (C) 10<7> (D) 10<9> (E) 10<16>
Answer: B
A does a work in 10days and B does the same work in 15days. In how many days they together will do the same work? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 8 (E) 10
Answer: C
A set consist of 2k-1 element. What is the number of subsets of this set which contain at most k-1 elements? Answer Choice: (A) 2^(2k-2) (B) 2^(2k) - 2 (C) 2^(2k) -1 (D) 2^(2k) (E) 2^(2k-1)
Answer: A
A box contains 10 tablets of medicine A and 10 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted. Answer Choice: (A) 12 (B) 15 (C) 17 (D) 19 (E) 21
Answer: A
Two trains each 170m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 55km/h while the other travels at 50km/h. how long will it take for them to pass each other completely. Answer Choice: (A) 15 sec (B) 11.6 sec (C) 31.6 sec (D) 12.6 sec (E) 23 sec
Answer: B
Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 19 boys and 41 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad? Answer Choice: (A) 2 (B) 7 (C) 6 (D) 8 (E) 10
Answer: B
Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 4,900 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip? Answer Choice: (A) 10.0 (B) 11.0 (C) 13.0 (D) 12.0 (E) 14.0
Answer: D
A began business with Rs.36000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1? Answer Choice: (A) 1 (B) 6 (C) 7 (D) 8 (E) 2
Answer: D
A district hospital treated 290 patients today, and each of them were either man, woman, or child. If it treated 10 more men than of children, and in equal as many men as women, how many children were treated ? Answer Choice: (A) 90 (B) 80 (C) 100 (D) 110 (E) 70
Answer: A
What annual installment will discharge a debt of Rs. 1008 due in 3 years at 12% simple interest? Answer Choice: (A) 300 (B) 345 (C) 325 (D) 335 (E) None of them
Answer: A
The daily wage is increased by 50% and a person now gets Rs 25 per day. What was his daily wage before the increase ? Answer Choice: (A) Rs 20 (B) Rs 16.6 (C) Rs 18 (D) Rs 19 (E) none of these
Answer: B
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is? Answer Choice: (A) 4/15 (B) 4/19 (C) 4/11 (D) 4/13 (E) 4/17
Answer: D
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Answer Choice: (A) 16 days (B) 18 days (C) 19 days (D) 11 days (E) 14 days
Answer: D
In how many ways the word "SCALE" can be arranged? Answer Choice: (A) 220 (B) 240 (C) 120 (D) None (E) Cannot be determined
Answer: C
How many 3 digit numbers can be formed from the digits 2,3,5,6,7
and 9 which are divisible by 5 and none of the digits is repeated? Answer Choice: (A) 5 (B) 20 (C) 4 (D) 3 (E) 9
Answer: B
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 830 in 4 years. The sum is? Answer Choice: (A) s. 738 (B) s. 638 (C) s. 650 (D) s. 810 (E) s. 735
Answer: D
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ? Answer Choice: (A) 0 (B) 9 (C) 2 (D) 7 (E) 1
Answer: A
If w>0.9, which of the following options can be the value of w? Answer Choice: (A) 0.9^2 (B) √(0.9) (C) 0.09 (D) 0.9 (E) 0.9^3
Answer: B
In a class there are 10 boys and 15 girls. In how many ways can a boy and a girl be selected? Answer Choice: (A) 288 (B) 150 (C) 277 (D) 266 (E) 255
Answer: B
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. In how much time will the trains cross each other? Answer Choice: (A) 70/9 sec (B) 80/9 sec (C) 40/9 sec (D) 60/9 sec (E) 90/9 sec
Answer: B
How many seconds will a 650 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ? Answer Choice: (A) 48 (B) 36 (C) 26 (D) 39 (E) 18
Answer: D
If ab represents a positive two-digit number, where a and b are one-digit integers, which of the following CAN be true? Answer Choice: (A) a + b = 9 (B) a - b = 9 (C) b - a = 9 (D) Both A and B (E) Both B and C
Answer: D
If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen, or the ten of spades? Answer Choice: (A) 5/13 (B) 7/26 (C) 9/26 (D) 17/52 (E) 19/52
Answer: C
The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ? Answer Choice: (A) 84 yrs (B) 34 yrs (C) 64 yrs (D) 24 yrs (E) 44 yrs
Answer: B
A box contains 2 red, 3 black and 4 blue balls. 3 balls are randomly drawn from the box. What is the probability that the balls are of different colors? Answer Choice: (A) 23 (B) 25 (C) 24 (D) 26 (E) 29
Answer: C
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 11 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 4/5 Km (B) 3 1/5 Km (C) 4 1/5 Km (D) 5 1/5 Km (E) None
Answer: A
A man can swim in still water at 12 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 4 (B) 4.2 (C) 5.3 (D) 1.5 (E) 5.2
Answer: A
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both B & G, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations are there for the children? Answer Choice: (A) 240 (B) 480 (C) 720 (D) 1440 (E) 3600
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? Answer Choice: (A) 3/8 (B) 3/2 (C) 3/3 (D) 3/5 (E) 3/7
Answer: B
A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r? Answer Choice: (A) 250 mph (B) 200 mph (C) 205 mph (D) 300 mph (E) 425 mph
Answer: A
Oliver travelled for 15 hours. He covered the first half of the distance at 40 kmph and remaining half of the distance at 45 kmph. Find the distance travelled by Oliver? Answer Choice: (A) 280 km (B) 634 km (C) 760 km (D) 720 km (E) 612 km
Answer: D
The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered? Answer Choice: (A) 25 (B) 50 (C) 75 (D) 100 (E) 125
Answer: D
If (A+B) = 11, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)? Answer Choice: (A) 16. (B) 8. (C) 5. (D) 2. (E) -2.
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? Answer Choice: (A) 76 years (B) 88 years (C) 55 years (D) 10 years (E) 15 years
Answer: D
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry? Answer Choice: (A) 1/2 (B) 16/45 (C) 3/10 (D) 7/20 (E) 8/45
Answer: B
In how many years will a sum of money doubles itself at 5% per annum on simple interest? Answer Choice: (A) 27% (B) 70% (C) 29% (D) 20% (E) 50%
Answer: D
A department of ten people - six men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send? Answer Choice: (A) 120 (B) 150 (C) 180 (D) 210 (E) 240
Answer: C
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 15% so that the customer could not buy the required amount of the product. The customer managed to buy only 60% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase? Answer Choice: (A) 27% (B) 29% (C) 31% (D) 33% (E) 35%
Answer: C
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Answer Choice: (A) 50% (B) 40% (C) 60% (D) 70% (E) 80%
Answer: A
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount? Answer Choice: (A) 32.5 (B) 35 (C) 48 (D) 65 (E) 67.5
Answer: C