loafeihong/math_mmlu_format huggingface dataset:
What will be the difference between simple and compound interest at 14% per annum on a sum of Rs. 1000 after 4 years? Answer Choice: (A) 129 (B) 130 (C) 124 (D) 133 (E) 145
Answer: A
If a coin is tossed three times, what is the probability that on the first toss the coin lands heads, on the second toss the coin lands tails, and on the third toss the coin lands heads. Answer Choice: (A) 1/2 (B) 1/8 (C) 1/4 (D) 3/8 (E) 1/16
Answer: B
If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 8 people to do 8 times of that particular work? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 8 (E) 11
Answer: C
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph, find his average speed for the total journey? Answer Choice: (A) 4 (B) 3.5 (C) 3 (D) 3.1 (E) 2.8
Answer: D
The ratio of red boxes to blue boxes in a certain warehouse is 12 to 20. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse? Answer Choice: (A) 80 (B) 74 (C) 111 (D) 148 (E) 244
Answer: A
Find the average of first 30 natural numbers. Answer Choice: (A) 12 (B) 15.5 (C) 14.5 (D) 16 (E) 17
Answer: B
3 red and 4 blue balls are in a basket. A member of PPTeam is drawing balls from the basket. What is the probablity of getting the 3 red balls simultaneously? Answer Choice: (A) 1/35 (B) 2/35 (C) 3/35 (D) 4/35 (E) 5/35
Answer: A
What is the area of a square field whose diagonal of length 20 m? Answer Choice: (A) 10 sq m (B) 200 sq m (C) 400 sq m (D) 500 sq m (E) 156 sq m
Answer: B
A single discount equivalent to the discount series of 20%, 10% and 5% is? Answer Choice: (A) 31.8 (B) 31.1 (C) 31.6 (D) 31.2 (E) 31.9
Answer: C
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr. find the time taken by the boat to go 72 km downstream? Answer Choice: (A) 2 hours (B) 4 hours 12 minutes (C) 4 hours (D) 5 hours (E) None
Answer: B
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase W in sales? Answer Choice: (A)  2% (B)  17% (C)  20% (D)  65% (E)  83%
Answer: C
If -4 and -8 are negative integers, then -4*-8 + 2 is Answer Choice: (A) -32 (B) -30 (C) 34 (D) -24 (E) -10
Answer: C
Cole drove from home to work at an average speed of 50 kmh. He then returned home at an average speed of 110 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work? Answer Choice: (A) 66.5 (B) 70.5 (C) 72.5 (D) 75.5 (E) 82.5
Answer: E
log3 N+log5 N what is 3 digit number N that will be whole number Answer Choice: (A) 629 (B) 729 (C) 829 (D) 125 (E) 727
Answer: D
There were 35 students in a hostel. Due to the admission of 7 new students, he expenses of the mess were increased by Rs. 42 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the mess? Answer Choice: (A) 125 (B) 321 (C) 561 (D) 852 (E) 420
Answer: E
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $843,000 invested in preferred stocks, what is the total amount of money invested in the fund? Answer Choice: (A) $1,974,000 (B) $2,538,000 (C) $3,264,000 (D) $3,826,000 (E) $4,215,000
Answer: E
A retail item is offered at a discount of a percent (where a > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of a, would result in the same final price? Answer Choice: (A) p+5/1.05 (B) p/1.05 +5 (C) 1.05a-5 (D) a-5/1.05 (E) 1.05(a – 5)
Answer: C
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days? Answer Choice: (A) 22 1/8 (B) 22 1/2 (C) 22 1/1 (D) 22 1/5 (E) 22 1/9
Answer: B
A man spends 20% of his income in house rent, 10% of the rest on his children’s education, 15% of the rest miscellaneous causes. If he now posses Rs. 6352 then his income is? Answer Choice: (A) A)Rs.10379 (B) B)Rs.40598 (C) C)Rs.45699 (D) D)Rs.30379 (E) E)Rs.59879
Answer: A
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number? Answer Choice: (A) 3/7 (B) 3/11 (C) 4/7 (D) 5/8 (E) 5/9
Answer: C
Two size of envelope having color of red,blue, purple ,green..company made packages of three envelopes either same size same color or same size different color...how many packages possible if sequence of color doesn't matters? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: E
If log2X +log2Y ≥ 6, then the least value of XY is? Answer Choice: (A) 4 (B) 8 (C) 64 (D) 32 (E) 16
Answer: C
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides? Answer Choice: (A) 3 (B) 7 (C) 5 (D) 3 (E) 4
Answer: A
How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together? Answer Choice: (A) 42 (B) 420 (C) 470 (D) 540 (E) 4320
Answer: E
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area? Answer Choice: (A) 37.7% (B) 37.5% (C) 36.5% (D) 27.5% (E) 47.5%
Answer: B
If a and s are positive integers such that (2^a)(4^s) = 16, then 2a + s = Answer Choice: (A)  2 (B)  3 (C)  4 (D)  5 (E)  6
Answer: D
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Answer Choice: (A) 12 (B) 18 (C) 22 (D) 24 (E) 26
Answer: B
At exactly what time past 10:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time? Answer Choice: (A) 20 13/21 minutes past 7:00 (B) 20 13/17 minutes past 7:00 (C) 21 3/23 minutes past 10:00 (D) 21 9/11 minutes past 7:00 (E) 22 4/9 minutes past 7:00
Answer: C
Kim has 9 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 18 shoes, what is the probability that she will select 2 shoes of the same color? Answer Choice: (A) 2/5 (B) 11/5 (C) 1/9 (D) 1/17 (E) 1/5
Answer: D
x and y are positive integers. If y + x is odd, then which of the following must be even? Answer Choice: (A) x (B) y (C) x + y (D) xy − x (E) x^2 − y
Answer: C
A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Answer Choice: (A) 48 (B) 50 (C) 52 (D) 54 (E) 56
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 350 m (B) 250 m (C) 300 m (D) 148 m (E) 150 m
Answer: E
Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul
who is Hema’s brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj’s age
is more than Hema’s when Raj will be 20 years old. Answer Choice: (A) 33.33 (B) 27.33 (C) 28.38 (D) 29.37 (E) 28.31
Answer: A
A is twice as good a work man as B and together they finish the work in 12 days. In how many days A alone can finish the work? Answer Choice: (A) 23 (B) 18 (C) 77 (D) 92 (E) 61
Answer: B
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 2 muffins remained. How many guests did Monica plan on? Answer Choice: (A) 3. (B) 4. (C) 6. (D) 8. (E) 7.
Answer: C
In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different W sets can be produced by this process? Answer Choice: (A)  41 (B)  89 (C)  125 (D)  243 (E)  512
Answer: A
In a single throw of a die what is the probability of getting a number greater than 2 ? Answer Choice: (A) 2/3 (B) 1/4 (C) 2/5 (D) 1/3 (E) 1/5
Answer: A
34 men can complete a piece of work in 18 days. In how many days will 17 men complete the same work? Answer Choice: (A) 36 (B) 26 (C) 97 (D) 26 (E) 19
Answer: A
A fruits marks his fruit baskets 40% more than the real price and allows 15% discount. His profit is: Answer Choice: (A) 16% (B) 17% (C) 18% (D) 19% (E) 20%
Answer: D
Two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? Answer Choice: (A) 100m (B) 75m (C) 120m (D) 50m (E) 40m
Answer: B
If –2 < x < 2 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2 Answer Choice: (A)  I only (B)  II only (C)  III only (D)  II and III only (E)  I, II, and III
Answer: C
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: Answer Choice: (A) 21 (B) 20 (C) 25 (D) 30 (E) 27
Answer: A
Enrollment in City College in 1980 was 210 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990? Answer Choice: (A) - 10% (B) - 16 2/3 % (C) - 52.38% (D) - 25% (E) - 183 1/3%
Answer: C
Set S is the prime integers between 0 and 30. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd? Answer Choice: (A) 15/56 (B) 3/8 (C) 15/28 (D) 7/10 (E) 3/4
Answer: D
Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum. Answer Choice: (A) 625 (B) 367 (C) 288 (D) 209 (E) 198
Answer: A
If T < y < -1, which of the following is true? Answer Choice: (A) T/y > Ty (B) y/t > t+y (C) y/t > Ty (D) y/T < T+y (E) y/T > T/y
Answer: B
A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700. Answer Choice: (A) 16800;18900;21000 (B) 17800;19800;22500 (C) 15500;17600;20500 (D) 16400;17200;18900 (E) None of them
Answer: A
If a and b are both prime numbers greater than 10, which of the following CANNOT be true?
I. ab is an even number.
II. The difference between a and b equals 117.
III. The sum of a and b is even. Answer Choice: (A) I only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III
Answer: B
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is Answer Choice: (A) 4:1 (B) 4:2 (C) 4:5 (D) 4:3 (E) 4:6
Answer: D
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number B? Answer Choice: (A) a. 2^96 + 1 (B) b. 2^16 - 1 (C) c. 2^16 + 1 (D) d. 7 * 2^33 (E) e. 2^64 + 1
Answer: A
If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 6, respectively, what is the probability that b/a will not be an integer? Answer Choice: (A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2 (E) 2/3
Answer: C
If |x| = 7x - 5, then x = ? Answer Choice: (A) 1 (B) 1/2 (C) 1 and 1/2 (D) 2 (E) -1
Answer: D
The maximum number of students among them 1048 pens and 828 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is: Answer Choice: (A) 4 (B) 8 (C) 16 (D) 1911 (E) None of these
Answer: A
An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang two 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) 56 (D) 120 (E) 216
Answer: C
A watch passes through three hands and each person gains 25%. If the third person sells it for $125, what did the first person pay for it? Answer Choice: (A) $54 (B) $60 (C) $64 (D) $72 (E) $80
Answer: C
The distance between Delhi and Mathura is 140 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? Answer Choice: (A) 10.50 a.m. (B) 10.40 a.m. (C) 10.30 a.m. (D) 11.40 a.m. (E) 1.40 a.m.
Answer: B
A number when multiplied by 3 and then subtracted by 2 becomes the reverse of itself. Can you find out which smallest number is that? Answer Choice: (A) 33 (B) 28 (C) 55 (D) 71 (E) 23
Answer: B
A batsman scored 100 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: B
There are 10000 families, having 4 children for each family. In how many families 2 daughters are probable. Answer Choice: (A) 625 (B) 529 (C) 425 (D) 354 (E) 725
Answer: A
If the average marks of three batches of 55, 60 and 45 students respectively is 40, 62, 58, then the average marks of all the students is Answer Choice: (A) 54.48 (B) 53.31 (C) 54.6 (D) 54.58 (E) None of these
Answer: B
How many odd three-digit integers greater than 600 are there such that all their digits are different? Answer Choice: (A) 40 (B) 56 (C) 72 (D) 81 (E) 120
Answer: E
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 167 (B) 266 (C) 150 (D) 776 (E) 122
Answer: C
Let Y be the smallest positive integer such that 12 and 8 are factors of 20*Y, So the value of Y is: Answer Choice: (A) 7 (B) 9 (C) 11 (D) 13 (E) 15
Answer: B
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of $ 8400 ? Answer Choice: (A) 14 (B) 24 (C) 34 (D) 12 (E) 13
Answer: A
A number, x is chosen at random from the set of positive integers less than 20. What is the probability that (18/x) > x? Answer Choice: (A)  1/5 (B)  2/9 (C)  3/19 (D)  4/19 (E)  7/9
Answer: D
If a committee of 3 people is to be selected from among 8 married couples so that the committee does not include two people who are married to each other, how many such committees are possible? Answer Choice: (A) 120 (B) 240 (C) 250 (D) 380 (E) 448
Answer: E
A certain restaurant offers 8 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer? Answer Choice: (A) 8 (B) 12 (C) 15 (D) 21 (E) 44
Answer: E
Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 4 times his original investment. What is the value of n? Answer Choice: (A) 50 years (B) 25 years (C) 12 years 6 months (D) 37 years 6 months (E) 40 years
Answer: D
A train covers a distance of 12 km in 10 min. If it takes 3 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 60 m (B) 188 m (C) 120 m (D) 80 m (E) 189 m
Answer: A
A lady bought five books namely A,B,C,D,E to distribute her 3 child. How many ways she can distribute books? Answer Choice: (A) 3^3 (B) 3^4 (C) 3^5 (D) 3^6 (E) 3^2
Answer: C
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is: Answer Choice: (A) 8% (B) 6% (C) 7% (D) 9% (E) 10%
Answer: A
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (16^2 – 1)) Answer Choice: (A) a. 9/19 (B) b. 10/19 (C) c. 10/21 (D) d. 11/21 (E) e. 8/17
Answer: E
In final exam of class IX there are 50 students 10 % students failed. How many students passed to class X? Answer Choice: (A) 33 (B) 378 (C) 37 (D) 39 (E) 45
Answer: E
16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work? Answer Choice: (A) 55 days (B) 77 days (C) 20 days (D) 88 days (E) 44 days
Answer: C
Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 22 in two years, at the same percent rate per annum? Answer Choice: (A) s. 520 (B) s. 480 (C) s. 420 (D) s. 100 (E) s. 200
Answer: D
When positive integer N is divided by positive integer J, the remainder is 25. If N/J = 204.05, what is value of J? Answer Choice: (A) 600 (B) 500 (C) 800 (D) 200 (E) 900
Answer: B
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.5400. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu? Answer Choice: (A) s.750, Rs.2250 (B) s.2000, Rs.750 (C) s.750, Rs.2000 (D) s.800, Rs.1250 (E) s.900, Rs.2700
Answer: E
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $15,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college? Answer Choice: (A) 62,000 (B) 85,500 (C) 95,500 (D) 100,500 (E) 120,000
Answer: E
If log72 = m, then log4928 is equal to Answer Choice: (A) 2(1 + 2m) (B) (1 + 2m)/2 (C) 2/(1 + 2m) (D) 1 + m (E) 1 + 2m
Answer: B
The simple interest accrued on an amount of ₹ 84000 at the end of 3 yr is ₹ 30240. What would be the compound interest accrued on the same amount at the same rate in the same period? Answer Choice: (A) 22 (B) 77 (C) 66 (D) 88 (E) 61
Answer: D
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%? Answer Choice: (A) 2333 (B) 2777 (C) 2688 (D) 1000 (E) 2871
Answer: D
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets for $52.50. If profit is revenue from sales minus manufacturing costs, and the company produces and sells 987 sets of horseshoes, what was their profit? Answer Choice: (A) $20,874.25 (B) $30,943.25 (C) $41,308.50 (D) $51,817.50 (E) $53,624.25
Answer: A
A person purchased a TV set for Rs. 13000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 21600. What percentage of profit did he make? Answer Choice: (A) 48% (B) 70% (C) 40% (D) 45% (E) 20%
Answer: E
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 45000rs,what is the value of buzness? Answer Choice: (A) 150000 (B) 90000 (C) 85000 (D) 190000 (E) 250000
Answer: B
here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 84 and 92 respectively. the average of the whole class is 86, what is the value of x? Answer Choice: (A) a) 6 (B) b) 4 (C) c) 8 (D) d) 10 (E) e) 12
Answer: B
In the quadratic equation ax2 - 11x + 40 = 0, if the sum of two roots is 1.1, what is the product of the two roots? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: D
How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2? Answer Choice: (A) 6 (B) 7 (C) 5 (D) 8 (E) 18
Answer: B
Rashmi walks to her bus stop at 5 kmph and reaches there late by 10 minutes. On the next day,she increases her speed to 6 kmph and reaches the bus stop 10 minutes early.How far is the bus stop ? Answer Choice: (A) 13 (B) 12 (C) 11 (D) 10 (E) 9
Answer: D
Two angles of a triangle have ratio 5:3, and the third angle is the difference of the other two. Find the smallest angle of such a triangle in degrees. Answer Choice: (A) 16 (B) 18 (C) 20 (D) 24 (E) 36
Answer: E
There are two sticks of which the longer one is 10 cm longer than the short stick. Find the length of the shorter stick if the total length of both the sticks is 24 cm? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 12 (E) 14
Answer: B
At a florist shop on a certain day, all corsages sold for either $20 or $30. If 10 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day? Answer Choice: (A) $200 (B) $400 (C) $500 (D) $800 (E) $1000
Answer: C
If a rod is sold for Rs.34.80, there is a loss of 25%. Find out the CP of the rod? Answer Choice: (A) 45 (B) 46 (C) 46.4 (D) 47.23 (E) 47.34
Answer: C
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 30 people owned cats, 40 owned dogs, 18 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 12 (E) 32
Answer: C
Which is greater than 4? Answer Choice: (A) 5 (B) -5 (C) -1/2 (D) -25 (E) 1/2
Answer: A
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered? Answer Choice: (A) 24 (B) 28 (C) 30 (D) 32 (E) 34
Answer: C
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km Answer Choice: (A) 200 Km (B) 222 Km (C) 224 Km (D) 248 Km (E) None of these
Answer: C
Ravi bought 5 pencil and 10 eraser for Rs 4 . Sheetal bought 3 pencil and 9 eraser for Rs 3 then what would be the cost of pencil and eraser. Answer Choice: (A) .15p, .30p (B) .50p,.27p (C) .40p,.20p (D) .20p,.40p (E) .50p,.40p
Answer: C
A coin is tossed live times. What is the probability that there is at the least one tail? Answer Choice: (A) 31/32 (B) 31/17 (C) 31/19 (D) 31/12 (E) 31/13
Answer: A
The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score. Answer Choice: (A) 172 (B) 173 (C) 174 (D) 175 (E) 176
Answer: C
The product of the digits of the four-digit number T is 36. No two digits of are identical. How many different numbers are possible values of T ? Answer Choice: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48
Answer: C
Set A of 8 positive integers may have the same element and have 37. And set B of 8 positive integers must have different elements and have 37. When m and n are the greatest possible differences between 37 and other elements’ sums in set A and set B, respectively, m-n=? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 25 (E) 26
Answer: B
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Answer Choice: (A) 1.6 (B) 1.5 (C) 1.9 (D) 1.2 (E) 1.7
Answer: B
A boats man can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations? Answer Choice: (A) 40 (B) 87 (C) 126 (D) 18 (E) 91
Answer: A
If 7^r is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of r? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: E
How many integers between 100 and 190, inclusive, cannot be evenly divided by 3 nor 5? Answer Choice: (A) 42 (B) 44 (C) 46 (D) 48 (E) 50
Answer: D