loafeihong/math_mmlu_format huggingface dataset:
If A = {9, 17, 25, 28, 29, 30}, how much less is the mean of the numbers in A than the median of the numbers in S? Answer Choice: (A) 1.0 (B) 9.6 (C) 3.5 (D) 3.2 (E) 5.1
Answer: C
A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made? Answer Choice: (A) 7 (B) 9 (C) 4 (D) 5 (E) 2
Answer: B
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 768 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 6 (C) 8 (D) 24 (E) None of these
Answer: C
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 13? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 8 (E) 7
Answer: D
Find the average of first 32 natural numbers. Answer Choice: (A) A)12.6 (B) B)16.5 (C) C)15.9 (D) D)17.5 (E) E)20.6
Answer: B
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 80 kmph. When and at what distance from Mumbai do the two trains meet? Answer Choice: (A) 87 (B) 279 (C) 80 (D) 278 (E) 379
Answer: C
A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern ? Answer Choice: (A) 10 min (B) 12 min (C) 15 min (D) 9 min (E) None of these
Answer: A
The present worth of Rs.1014 due in 2 years at 4% per annum compound interest is Answer Choice: (A) Rs.150.50 (B) Rs.937.5 (C) Rs.156.25 (D) Rs.158 (E) None
Answer: B
emblem is coded as 216;
crude is coded as 125
parakeets will be ? Answer Choice: (A) 243 (B) 866 (C) 729 (D) 456 (E) 683
Answer: C
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have? Answer Choice: (A) 30 (B) 90 (C) 240 (D) 480 (E) 960
Answer: E
John buys 100 shares of par value Rs. 5 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) 4 (C) 5 (D) 6 (E) 8
Answer: D
At a summer camp with 1,500 participants, 1/2 of the campers are aged 10 to 12. Next year, the number of campers aged 10 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 10 to 12-year-olds represent? Answer Choice: (A) 62 (B) 64 (C) 65 (D) 66 2/3% (E) 67
Answer: D
A cricket team plays games only against the other five teams in its league and always in the following order: A, B, C, D and E. If the team’s final game of the season is against D, which of the following could be the number of games in the team’s schedule? Answer Choice: (A) 18 (B) 81 (C) 56 (D) 72 (E) 24
Answer: E
If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 20 percent decrease in y would result in which of the following changes in z? Answer Choice: (A) A decrease of 4% (B) A decrease of 14% (C) An increase of 4% (D) An increase of 20% (E) An increase of 30%
Answer: A
The soldiers in two armies when they met in a battle were in the ratio of 10 : 3. Their respective losses were as 20 : 3 and the survivors as 40 : 13. If the number of survivors in the larger army be 24,000, find the original number of soldiers in each army ? Answer Choice: (A) 28000, 8400 (B) 25000, 7500 (C) 29000, 2750 (D) 26000, 7800 (E) 27000, 7800
Answer: A
Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and GREEN. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)? Answer Choice: (A) 12 (B) 14 (C) 18 (D) 19 (E) 20
Answer: D
What percent of 11 is 11 percent of 1? Answer Choice: (A)  1 (B)  0.01 (C)  0.1 (D)  13 (E)  101.
Answer: A
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 4 letters in its codes, and all letters can be repeated in any one code? Answer Choice: (A) A.15600 (B) B.16226 (C) C.17576 (D) D.18278 (E) E.475254
Answer: E
Mary and Mike enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $800 more than Mike did, what was the profit made by their business in that year? Answer Choice: (A) $2000 (B) $6000 (C) $4000 (D) $1333 (E) $3000
Answer: E
In how many ways a committee, Consisting of 5 men and 6 women can be formed from 8 men and 10 women? Answer Choice: (A) 266 (B) 86400 (C) 11760 (D) 5040 (E) 720
Answer: C
If the price of 6 toys is Rs. 264.37, what will be the approximate price of 5 toys ? Answer Choice: (A) Rs. 140 (B) Rs. 100 (C) Rs. 200 (D) Rs. 220 (E) None of these
Answer: D
if P represents the number of prime numbers between 1 and 102 then what is the value of P? Answer Choice: (A) 25 (B) 26 (C) 27 (D) 28 (E) 29
Answer: B
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Six years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? Answer Choice: (A) Can't be determined (B) 48 (C) 27 (D) 24 (E) None of these
Answer: B
Pipe A can fill a tank in 6 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ? Answer Choice: (A) 2.5 hours (B) 3.3 hours (C) 3.5 hours (D) 3 hours (E) None of these
Answer: B
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 345, the cost of the article is Answer Choice: (A) 289 (B) 231 (C) 100 (D) 288 (E) 111
Answer: C
111 = O
222 = E
333 = T
444 = S
Reading and analyzing the above, can you find out the following ?
555 = ? Answer Choice: (A) J (B) A (C) M (D) K (E) O
Answer: E
How many digits 2^10 has? Answer Choice: (A) 3 (B) 35 (C) 50 (D) 99 (E) 101
Answer: A
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are: Answer Choice: (A) Rs. 10,500, Rs. 13,500, Rs. 16,500 (B) Rs. 11,500, Rs. 13,000, Rs. 16,000 (C) Rs. 11,000, Rs. 14,000, Rs. 15,500 (D) Rs. 11,500, Rs. 12,500, Rs. 16,500 (E) Rs. 12,500, Rs. 12,500, Rs. 16,500
Answer: A
A certain bus driver is paid a regular rate of $12 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week? Answer Choice: (A) 60 (B) 68 (C) 65 (D) 64 (E) 61
Answer: D
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes? Answer Choice: (A) 58 (B) 60 ways (C) 64 ways (D) 68 (E) 90
Answer: C
The last digit of 12^12+13^13–14^14×15^15= Answer Choice: (A) 0 (B) 1 (C) 5 (D) 8 (E) 9
Answer: E
The H.C.F. and L.C.M. of two numbers are 14 and 5040 respectively If one of the numbers is 144, find the other number Answer Choice: (A) 400 (B) 256 (C) 120 (D) 490 (E) None of these
Answer: D
Donovan took a math test and got 35 correct and 15 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth) Answer Choice: (A) 57.78% (B) 67.78% (C) 70.00% (D) 47.78% (E) 97.78%
Answer: C
30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen. Answer Choice: (A) 10 (B) 11 (C) 18 (D) 13 (E) 14
Answer: C
What is the normal price of an article sold at $144 after two successive discounts of 10% and 20%? Answer Choice: (A) $184 (B) $192 (C) $200 (D) $208 (E) $216
Answer: C
The sum of two numbers is 55. Five times one number is equal to 6 times the other. The bigger of the two numbers is Answer Choice: (A) 10 (B) 12 (C) 14 (D) 15 (E) 30
Answer: E
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 246 m (B) 240 m (C) 257 m (D) 577 m (E) 567 m
Answer: B
Hannah has 5 apples and 7 bananas. If she wants to give each of her 9 friends 1 banana and 2 apples, how many more apples and bananas does she need? Answer Choice: (A) 2 bananas, 13 apples (B) 5 bananas, 13 apples (C) 8 bananas, 8 apples (D) 13 bananas, 5 apples (E) 13 bananas, 2 apples
Answer: A
What quantity of water should be added to reduce 5 litres of 45% acidic liquid to 25% acidic liquid? Answer Choice: (A) 3litres (B) 2litres (C) 4litres (D) 4.5litres (E) 5litres
Answer: D
45 men working 8 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: C
If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b = Answer Choice: (A)  −48 (B)  −2 (C)  −7 (D)  46 (E)  48
Answer: C
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be: Answer Choice: (A) 22 (B) 24 (C) 26 (D) 28 (E) 30
Answer: C
In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k = Answer Choice: (A) 1/2 (B) 1 (C) 2 (D) 5/2 (E) 4
Answer: B
In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games. Find the number of students in the group. Answer Choice: (A) 100 (B) 65 (C) 75 (D) 86 (E) 98
Answer: A
Mr. Tom invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund Y paid 17%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X? Answer Choice: (A)  $32,000 (B)  $36,000 (C)  $42,000 (D)  $44,000 (E)  $45,000
Answer: C
A 90 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) 220 meter (B) 225 meter (C) 230 meter (D) 410 meter (E) None of these
Answer: D
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is Answer Choice: (A) 5336 (B) 4306 (C) 4236 (D) 4336 (E) None
Answer: A
Thirty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $50 million from its orange exports, how much money does it generate from its yearly total of exports? Answer Choice: (A) $1000m (B) $25.5m (C) $106.25m (D) $127.5m (E) $153m
Answer: A
What must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 9 (E) 8
Answer: A
A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is? Answer Choice: (A) 12 (B) 77 (C) 15 (D) 25 (E) 10
Answer: D
The mean proportional between 4 and 9 is? Answer Choice: (A) 21 (B) 35 (C) 44 (D) 12 (E) 11
Answer: B
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then C's share is (in Rs.) Answer Choice: (A) 10000 (B) 6500 (C) 5000 (D) 7500 (E) 8500
Answer: D
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) 35 years
Answer: A
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Answer Choice: (A) 6 (B) 8 (C) 7 (D) 4 (E) 2
Answer: B
The product of a and b is equal to 12 more than twice the sum of a and b. If b = 10, what is the value of b - a? Answer Choice: (A) 2 (B) 5 (C) 7 (D) 6 (E) 35
Answer: D
If x^2=x+3, then x^3=? Answer Choice: (A) 3x+2 (B) 3x-2 (C) 4x+3 (D) 2x-3 (E) 3x+4
Answer: C
A certain galaxy is known to comprise approximately 3 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun? Answer Choice: (A) 800 (B) 6,000 (C) 8,000 (D) 12,000 (E) 80,000
Answer: B
Four persons enter the lift of a nine storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor Answer Choice: (A) 720 (B) 1296 (C) 1540 (D) 4096 (E) 5125
Answer: D
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 6 people play both cricket and football. How many people play only cricket? Answer Choice: (A) 11 (B) 1 (C) 5 (D) 3 (E) 9
Answer: B
If x is 11 percent greater than 90, then x = Answer Choice: (A) 99.9 (B) 91.0 (C) 88.0 (D) 70.9 (E) 71.2
Answer: A
In what time will a train 130 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 3.25 sec (C) 5 sec (D) 12.5 sec (E) 6 sec
Answer: B
Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase? Answer Choice: (A) 5% (B) 10% (C) 15% (D) 20% (E) 25%
Answer: B
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make? Answer Choice: (A) 48% (B) 70% (C) 40% (D) 45% (E) 20%
Answer: C
A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 80 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: D
The speed of a car is 90 km in the first hour and 75 km in the second hour. What is the average speed of the car? Answer Choice: (A) 89 kmph (B) 82.5 kmph (C) 75 kmph (D) 65 kmph (E) 77 kmph
Answer: B
A train 330 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 18 (E) 9
Answer: D
Three shops that belonged to a chain were closed, and as a result the average (arithmetic mean) annual revenue per shop in the chain grew from $150,000 to $225,000. If the number of shops in the chain before the change was 8, approximately, what was the average annual revenue of the shops that were closed? Answer Choice: (A) $25,000 (B) $37,500 (C) $58,333 (D) $75,000 (E) $91,666
Answer: A
If Thursday was the day after the day before yesterday five days ago, What is the least number of days ago when Sunday was three days before the day after tomorrow? Answer Choice: (A) Two (B) Three (C) Four (D) Five (E) Six
Answer: A
If n has 15 positive divisors, inclusive of 1 and n, then which of the following could be the number of divisors of 3n?
I. 20
II. 30
III. 40 Answer Choice: (A) II only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III only
Answer: B
At an election 2 candidates are participated a candidate got 45% of votes and defeated by 9000 votes. 83 votes are invalid. Find the total polled votes? Answer Choice: (A) 100000 (B) 85236 (C) 89562 (D) 90083 (E) 95842
Answer: D
John bought a 1-year, $30,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity? Answer Choice: (A) $3175 (B) $3275 (C) $3075 (D) $3375 (E) $3500
Answer: C
Two spheres of their radios in the ratio 4 : 3. Find its volumes ratio? Answer Choice: (A) 64:13 (B) 13:64 (C) 27:64 (D) 64:27 (E) None of them
Answer: D
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? Answer Choice: (A) 407 (B) 756 (C) 347 (D) 248 (E) 112
Answer: B
The sum of the present ages of A, B, C is 27 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A? Answer Choice: (A) 10 (B) 6 (C) 8 (D) 9 (E) 7
Answer: B
If u = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x = Answer Choice: (A) -2 (B) -1 (C) 0 (D) 2 (E) None of the above
Answer: D
In the infinite sequence 12, 18, 24, 30, 36, . . . , where each term is 6 greater than the previous term, the 18th term is Answer Choice: (A) 635 (B) 758 (C) 96 (D) 126 (E) 114
Answer: E
When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 6. If 1 < m < 300, what is the greatest possible value of m? Answer Choice: (A) 157 (B) 177 (C) 197 (D) 227 (E) 257
Answer: D
Which of the following equations has a root in common with x^2−4x=0 ? Answer Choice: (A) x^2-4x+4=0 (B) x^2-2x+1=0 (C) x^2-3x+2=0 (D) x^2-7x+6=0 (E) x^2-9x=0
Answer: E
The two lines y=x and x=-5 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis? Answer Choice: (A) 7.5 (B) 10 (C) 12.5 (D) 15 (E) 17.5
Answer: C
A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs 42,000 and establishment charges are Rs 12,000. The annual output of the company is Rs 70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get 12.5 profit, which is directly proportional to the annual output of the company. If 7.14 machines remain closed throughout the year, then the percentage decrease in the amount of profit of the shareholders would be: Answer Choice: (A) 12% (B) 12.5% (C) 13.5% (D) 13% (E) 14%
Answer: B
Consider two statements
Statement 1 => If C is an integer and C=2p+1 where p is not an integer.
Statement 2 => If D is an integer and D=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of C and D respectively Answer Choice: (A) 1) Odd,Even (B) 2) Odd,Odd (C) 3) Even,Odd (D) 4) Even,Even (E) 5) Cannot be determined
Answer: E
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 6 kilometers per hour, while Ferry Q takes a route that is two times longer. If Ferry P is slower than Ferry Q by 3 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
Two persons , Ram & Lakshman , who are at a distance of 100 km from each other, move towards each other from two places P and Q at speeds of 20 kmph and 25 kmph respectively. Lakshman reaches P, returns immediately and meets Ram at R, who started on the return journey to P immediately after reaching Q. What is the distance between Q and R? Answer Choice: (A) 33 1/3 km (B) 25 km (C) 30km (D) 27 1/3 km (E) None of these
Answer: A
Mark is playing poker at a casino. Mark starts playing with 130 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet? Answer Choice: (A) $1,960 (B) $1,740 (C) $1,820 (D) $3,080 (E) $2,640
Answer: C
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is? Answer Choice: (A) 29 (B) 27 (C) 36 (D) 88 (E) 21
Answer: C
Six water bottle gather at the place. Three teams of 3 bottle each will be packed. How many ways are there to create these 3 teams? Answer Choice: (A) 27 (B) 45 (C) 90 (D) 175 (E) 280
Answer: B
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability E that the number of men is equal to that of women? Answer Choice: (A) E=18/35 (B) 16/35 (C) 14/35 (D) 13/35 (E) 12/35
Answer: A
A certain fraction of a 15% salt solution by weight was replaced by a 25% salt solution by weight. The resulting solution has 21 % salt by weight. What fraction of the original solution was replaced? Answer Choice: (A) 1/2 (B) 3/5 (C) 2/3 (D) 7/10 (E) 3/4
Answer: B
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by: Answer Choice: (A) 3 (B) 7 (C) 8 (D) 6 (E) 0
Answer: D
A 50 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? Answer Choice: (A) 24.28 (B) 14.28 (C) 16.28 (D) 18.28 (E) 12.28
Answer: B
An investor bought a 1-year $8,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity? Answer Choice: (A) $400 (B) $440 (C) $720 (D) $800 (E) $820
Answer: E
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 10% longer than the smallest size, how long, in inches, is the shoe in size 15? Answer Choice: (A) 18.25 (B) 20.75 (C) 22.25 (D) 24.25 (E) 26.75
Answer: D
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? Answer Choice: (A) 120% (B) 190% (C) 100% (D) 200% (E) 101%
Answer: C
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 15
III. P is a multiple of 23 Answer Choice: (A) I only (B) II only (C) III only (D) None of the above (E) All of the above
Answer: B
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 50. Answer Choice: (A) 3 (B) 4 (C) 12 (D) 32 (E) 35
Answer: C
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 7 students? Answer Choice: (A) 14 years (B) 17 years (C) 19 years (D) 38 years (E) None
Answer: D
How many quarters are equal to 6 dollars? Answer Choice: (A) 1 (B) 8 (C) 12 (D) 9 (E) 24
Answer: E
The ratio of investments of A, B and C is 10:12:14. If they share the profit in the ratio of 5:9:14, then find the ratio of their periods of investments. Answer Choice: (A) 2:3:6 (B) 4:6:8 (C) 3:2:4 (D) 2:4:3 (E) 2:5:3
Answer: B
The average of runs of a cricket player of 10 innings was 36. How many runs must he make in his next innings so as to increase his average of runs by 4 ? Answer Choice: (A) 76 (B) 80 (C) 85 (D) 87 (E) 89
Answer: B
If |x - 25| = 50 what is the sum of all the values of x. Answer Choice: (A) 0 (B) -100 (C) -50 (D) 50 (E) 100
Answer: D
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal? Answer Choice: (A) 7 : 8 (B) 7 : 2 (C) 7 : 1 (D) 7 : 6 (E) 7 : 3
Answer: D