loafeihong/math_mmlu_format huggingface dataset:
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ? Answer Choice: (A) 81 years (B) 21 years (C) 51 years (D) 31 years (E) 61 years
Answer: C
If -1 < h < 1, which of the following has the greatest value? Answer Choice: (A) a) 1-h (B) b) 1+h (C) c) 1+h^2 (D) d) 1-1/h (E) e) 1-1/(h^2)
Answer: C
The H.C.F. and L.C.M. of two numbers are 11 and 5040 respectively If one of the numbers is 144, find the other number Answer Choice: (A) 400 (B) 256 (C) 385 (D) 420 (E) None of these
Answer: C
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Answer Choice: (A) 17 cm2 (B) 30 cm2 (C) 18 cm2 (D) 19 cm2 (E) 15 cm2
Answer: B
A candidate got 40% of the votes polled and he lost to his rival by 2000 votes. How many votes were cast? Answer Choice: (A) 10000 (B) 2028 (C) 2775 (D) 5496 (E) 6851
Answer: A
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be? Answer Choice: (A) Rs.16537.76 (B) Rs.16537.98 (C) Rs.16537.50 (D) Rs.16537.56 (E) Rs.16537.51
Answer: C
A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ? Answer Choice: (A) 3/5 (B) 2/5 (C) 4/25 (D) 3/10 (E) 15/23
Answer: E
How many seconds will a 900 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) 54 (D) 11 (E) 18
Answer: C
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? Answer Choice: (A) 240 (B) 246 (C) 252 (D) 292 (E) 298
Answer: D
Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^5 Answer Choice: (A) 26 (B) 32 (C) 25 (D) 27 (E) 29
Answer: B
Dawson completes a piece of work in 40 days, Rose completes the same work in 60 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 18 (B) 20 (C) 21 (D) 22 (E) 24
Answer: E
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1232? Answer Choice: (A) 1000 (B) 2217 (C) 1100 (D) 2777 (E) 2991
Answer: C
A mixture of 200 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Answer Choice: (A) 11 liters (B) 11.2 liters (C) 12.5 liters (D) 13.78 liters (E) 13.33 liters
Answer: E
The average of 11 numbers is 10.5. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is? Answer Choice: (A) 9 (B) 9.2 (C) 10 (D) 15.9 (E) 17
Answer: D
The length of a rectangle is twice the breadth. If the area is 128 cm2, determine the length and the breadth. Answer Choice: (A) b=2,l=9 (B) b=8,l=16 (C) b=9,l=9 (D) b=4,l=14 (E) b=3,l=9
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 49 (B) 50 (C) 12 (D) 13 (E) 67
Answer: B
Find the odd man out
20, 40, 60, 81, 100, 120, 140, 160 Answer Choice: (A) 120 (B) 140 (C) 180 (D) 160 (E) 81
Answer: E
The length of the bridge, which a train 140 m long and traveling at 45 km/hr can cross in 30 sec is? Answer Choice: (A) 235 (B) 240 (C) 245 (D) 250 (E) 255
Answer: A
A painting at an art gallery is framed such that the area of the square frame is 1/5 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 6, what is the area of the painting inside the frame? Answer Choice: (A) 10 (B) 15 (C) 30 (D) 40 (E) 50
Answer: B
0.41 + 21.4 + 6.3 + 280=? Answer Choice: (A) 708.71 (B) 408.71 (C) 508.71 (D) 308.71 (E) 208.71
Answer: D
How many different ways can you select a pilot and a co pilot if you have 80 people to choose from? Answer Choice: (A)  199 (B)  200 (C)  398 (D)  6320 (E)  9900
Answer: D
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms? Answer Choice: (A) 422 (B) 476 (C) 429 (D) 428 (E) 413
Answer: B
There are 4 copies of 5 different scales. In how many ways can they be arranged on a shelf? Answer Choice: (A) 20!/4! (B) 20!/5(4!) (C) 20!/(4!)^5 (D) 20! (E) 5!
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%? Answer Choice: (A) 5% (B) 28% (C) 27% (D) 40% (E) 70%
Answer: A
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible? Answer Choice: (A) 12 (B) 19 (C) 60 (D) 180 (E) 720
Answer: D
Look at this series: 40, 44, 48, __, 52, 56, 40, 60, ... What number should fill the blank? Answer Choice: (A) 60 (B) 50 (C) 40 (D) 46 (E) 52
Answer: C
A shopkeeper sold an article for 360 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Answer Choice: (A) 25% (B) 30% (C) 23% (D) 50% (E) None of these
Answer: D
A sum of Rs.4000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Answer Choice: (A) 2888 (B) 3120 (C) 2877 (D) 2600 (E) 1277
Answer: D
The difference between two angles of a triangle is 24o. The average of the same two angles is 54o. Which one of the following is the value of the greatest angle of the triangle Answer Choice: (A) 45o (B) 45o (C) 66o (D) 72o (E) None of these
Answer: D
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square? Answer Choice: (A) 5:18 (B) 5:28 (C) 5:29 (D) 5:22 (E) 5:16
Answer: E
A certain car dealership offers its newest model in ten exterior and six interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible? Answer Choice: (A) 45 (B) 81 (C) 90 (D) 10!/2! (E) 36
Answer: E
The ratio of red boxes to blue boxes in a certain warehouse is 20 to 25. 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) 37 (B) 74 (C) 111 (D) 90 (E) 244
Answer: D
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010? Answer Choice: (A) Sunday (B) Saturday (C) Friday (D) Wednesday (E) Monday
Answer: C
A gym offers 11 levels of fitness classes, and in an attempt to reward those who progress toward higher levels of fitness it charges $50 less per course for each level of fitness. Jessica completed all 11 levels by taking one course at each level, and her total cost was $4675. What is the cost Q for a course at the gym's highest level? Answer Choice: (A) $175 (B) $245 (C) $425 (D) $675 (E) $725
Answer: A
One fourth of one third of two fifth of a number is 25. What will be40% of that number Answer Choice: (A) 140 (B) 300 (C) 180 (D) 200 (E) 250
Answer: B
The banker’s gain on a certain sum due 1½ years hence is 3/25 of the banker’s discount. The rate percent is : Answer Choice: (A) 3 1/3 % (B) 6 1/6 % (C) 9 1/9 % (D) 9 1/6 % (E) None
Answer: C
If f(m)=m^2 and m is a positive integer, which of the following CANNOT be the value of f(f(m))? Answer Choice: (A) 256 (B) 16 (C) 1296 (D) 625 (E) 300
Answer: E
Solution Y is 30 percent liquid O and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid O? Answer Choice: (A) 30% (B) 33 1/3% (C) 37 1/2% (D) 40% (E) 50%
Answer: C
Find the compound interest on $20000 in 2years at 4% per annum, the interest being compounded half-yearly? Answer Choice: (A) $645.56 (B) $1648.64 (C) $954.26 (D) $745.69 (E) $1020.45
Answer: B
Riya and Priya set on a journey. Riya moves eastward at a speed of 18kmph and Priya moves westward at a speed of 24 kmph.How far will be priya from Riya after 15 minutes Answer Choice: (A) 25kms (B) 11kms (C) 50kms (D) 30kms (E) 40kms
Answer: B
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase? Answer Choice: (A) 16% (B) 16.66% (C) 22% (D) 24% (E) 24.5%
Answer: B
Given a Number 123456, from this number put any three values in numerator and remaining three are in denominator. So how many values you can make from this number less than 1/5. Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
If Jack walked 9 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour? Answer Choice: (A)  4 (B)  4.5 (C)  6 (D)  6.25 (E)  7.2
Answer: E
In 110 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by: Answer Choice: (A) 20 m (B) 25 m (C) 22 m (D) 9 m (E) 12 m
Answer: C
4, 12, 48, 240, (...) Answer Choice: (A) 1440 (B) 10080 (C) 6200 (D) 10020 (E) 12500
Answer: A
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%? Answer Choice: (A) 8279 (B) 2890 (C) 2800 (D) 2730 (E) 3702
Answer: C
What number should be added to each of the numbers 8, 21, 13 and 31 so that the resulting numbers, in this order form a proportion? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 7 (E) 9
Answer: C
In a contest, a bowl contains 7 keys, one of which will open a treasure chest and Six of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Sita is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize? Answer Choice: (A) 1/8 (B) 1/9 (C) 2/7 (D) 3/19 (E) 3/23
Answer: C
By how much does the larger root of the equation 2c^2+5c = 12 exceed the smaller root? Answer Choice: (A)  5/2 (B)  10/3 (C)  7/2 (D)  14/3 (E)  11/2
Answer: E
How many ways can six friends be arranged around a circular dinner table? Answer Choice: (A) 16 (B) 48 (C) 96 (D) 120 (E) 720
Answer: D
On planet Jupiter the people use a certain number system to the base ‘n’ (n > 2), Jerk, a resident of the planet, one day received twice his daily wage because the digits of this wage, which was a 2 digit number, were reversed. If the value of ‘n’ is the least possible value there the decimal representation of the difference between Jerk’s correct wage for the day is Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: A
A man bought 40 shares of Rs. 60 at 6 discount, the rate of dividend being 12 1/2%The rate of interest obtained is Answer Choice: (A) 13.89% (B) 15.5% (C) 14% (D) 14.25% (E) 14.95%
Answer: A
The average age 12 monkeys in a tree is 16 years. Out of these, the average age of 6 monkeys is 18 years and that of the other 6 monkeys is 13 years. The age of the 12th monkey is? Answer Choice: (A) 10 (B) 9 (C) 4 (D) 6 (E) 7
Answer: D
In the following number sequence how many such even numbers are there which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number?
3 8 4 1 5 7 2 8 3 4 8 9 3 9 4 2 1 5 8 2 Answer Choice: (A) Two (B) Three (C) Four (D) More than four (E) One
Answer: B
If (68-a)(68-b)(68-c)(68-d)(68-e)=725
then a+b+c+d=? Answer Choice: (A) 231 (B) 231 (C) 233 (D) 234 (E) 235
Answer: B
What should come in place of question mark(?) in the following equation?
8597 – ? = 7429 – 4358 Answer Choice: (A) 5706 (B) 5526 (C) 5426 (D) 5626 (E) None of these
Answer: B
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability E that the integer drawn is divisible by 8?
* A solution will be posted in two days. Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: D
Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for s dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month? Answer Choice: (A) x/(y - s) (B) x/(s - y) (C) x (D) x/s (E) x/y
Answer: B
123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls? Answer Choice: (A) 16 vans (B) 26 vans (C) 12 vans (D) 17 vans (E) 10 vans
Answer: A
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12500 after a year? Answer Choice: (A) 3630 (B) 2881 (C) 2887 (D) 3750 (E) 2212
Answer: D
If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ? Answer Choice: (A) 810 (B) 811 (C) 830 (D) 850 (E) 851
Answer: E
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum? Answer Choice: (A) 971 (B) 973 (C) 268 (D) 646 (E) 365
Answer: D
The owner of a wood furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) 6535 (B) 6532 (C) 6725 (D) 6874 (E) 6972
Answer: C
A discount of 10 percent on an order of goods followed by a discount of 40 percent amounts to Answer Choice: (A) the same as one 46 percent discount (B) the same as one 40 percent discount (C) the same as one 36 percent discount (D) the same as one 30 percent discount (E) the same as one 25 percent discount
Answer: A
A foreign language club at Washington Middle School consists of n students, 3/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German? Answer Choice: (A) 2n/5 (B) n/3 (C) 4n/75 (D) 2n/15 (E) n/15
Answer: C
A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 7, or 8. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ? Answer Choice: (A) 1/625 (B) 2/625 (C) 50/625 (D) 75/625 (E) 90/625
Answer: C
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday? Answer Choice: (A) X. (B) X/2. (C) 2X/3 (D) X/3 (E) X/4.
Answer: A
Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph? Answer Choice: (A) 35.5mph (B) 37.5mph (C) 38.5mph (D) 39.5mph (E) 36.5mph
Answer: B
If p is a positive integer and 10p/96 is an integer, then the minimum number ofuniqueprime factors p could have is H: Answer Choice: (A) H=1 (B) H=2 (C) H=3 (D) H=4 (E) H=5
Answer: B
5358 x 51 = ? Answer Choice: (A) 273258 (B) 273158 (C) 273268 (D) 283258 (E) 262268
Answer: A
How many possible integer values are there for x if |4x - 3| < 6 ? Answer Choice: (A) One (B) Two (C) Three (D) Four (E) Five
Answer: C
what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ? Answer Choice: (A) 1 or 7 (B) 3 or 21 (C) 4 or 28 (D) 2 or 14 (E) 5 or 14
Answer: C
0.0006688/0.0000150 x 19.85 = ? Answer Choice: (A) 850 (B) 900 (C) 950 (D) 1000 (E) 2000
Answer: B
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 16 a.m (B) 10 a.m (C) 17 a.m (D) 76 a.m (E) 11 a.m
Answer: B
The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 7 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds? Answer Choice: (A) 18 miles per hour (B) 156 miles per hour (C) 216 miles per hour (D) 1080 miles per hour (E) 5400 miles per hour
Answer: B
In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3000 more votes to win the election, what is the value of x ? Answer Choice: (A)  50 (B)  54 (C)  56 (D)  51 (E)  63
Answer: D
When you multiply a number by 4 and
then subtract 7, the result is the same as
if you first subtracted 7 from the same
number and then multiplied by 11. What
is the number? Answer Choice: (A) 23 (B) 13 (C) 19 (D) 31 (E) 10
Answer: E
As a treat for her two crying children, a mother runs to the freezer in which she has five cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor? Answer Choice: (A) 1/9 (B) 1/6 (C) 5/18 (D) 1/999 (E) 5/6
Answer: D
How many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 100
Answer: E
A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay? Answer Choice: (A) $25 (B) $12. (C) $23.5 (D) $24.5. (E) $25.5
Answer: A
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many L minutes it takes John to reach the station? Answer Choice: (A) 5 min (B) 6 min (C) 7 and 1/2 min (D) 8 min (E) 10 min
Answer: C
A train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters? Answer Choice: (A) 240 meters (B) 360 meters (C) 420 meters (D) 600 meters (E) Cannot be determined
Answer: D
A certain gallery is hanging a series of 8 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE Answer Choice: (A) 1440 (B) 200 (C) 122 (D) 80 (E) 16
Answer: A
Perimeter of the backwheel =9 feet,front wheel=7 feet on a certain distance ,the front wheel gets 10 revolution more than the back wheel.what is the distance Answer Choice: (A) 315 (B) 2888 (C) 270 (D) 18191 (E) 112
Answer: A
In how many ways can 5 apples (identical) be distributed among 4 children? (Some children may get no apples.) Answer Choice: (A) 56 (B) 144 (C) 200 (D) 256 (E) 312
Answer: A
A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good. Answer Choice: (A) 34/35 (B) 125/186 (C) 125/126 (D) 125/186 (E) 125/128
Answer: A
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 12? Answer Choice: (A) 7 (B) 21 (C) 34 (D) 47 (E) 6
Answer: E
In a family 13 people eat only vegetarian, 8 people eat only non veg., 6 people eat both veg and non veg.. How many people eat veg in the family? Answer Choice: (A) 20 (B) 11 (C) 19 (D) 31 (E) 21
Answer: C
A certain fraction has the same ratio to 1/33, as 3/4 does to 7/11. What is this certain fraction? Answer Choice: (A) 1/14 (B) 1/18 (C) 1/21 (D) 1/25 (E) 1/28
Answer: E
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting? Answer Choice: (A) 650 (B) 670 (C) 700 (D) 800 (E) 890
Answer: D
In how many ways can 5 boys be allotted four different HOSTEL ROOMS such that none of the rooms are empty and all the 5 boys are accommodated? Answer Choice: (A) 260 (B) 240 (C) 280 (D) 290 (E) 300
Answer: B
A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train. Answer Choice: (A) A and B together (B) B and C together (C) A and C together (D) Any two of them (E) All statements are required
Answer: C
what is the remainder when 788863203 is divided by 990 Answer Choice: (A) 693 (B) 369 (C) 769 (D) 639 (E) 469
Answer: A
A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? Answer Choice: (A) A)250 (B) B)350 (C) C)450 (D) D)470 (E) E)500
Answer: A
The standard serial numbers for a temporary ID card in a institution are 2 letters followed by 5 digits. How many different ID cards are possible if letters and digits can be repeated? Answer Choice: (A) 26 × 3 × 10 × 4 (B) 26 × 25 × 24 × 10 × 9 × 8 × 7 (C) 26³ × 9 × 9 × 9 × 9 (D) 26 × 25 × 24 × 10 000 (E) 26 x 26 x 100 000
Answer: E
A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 11 (E) 13
Answer: A
If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q? Answer Choice: (A) 36 (B) 42 (C) 44 (D) 46 (E) none
Answer: B
If (1/2)^22 (1/81)^k = 1/18^22, then k = Answer Choice: (A) 8 (B) 12 (C) 16 (D) 24 (E) 11
Answer: E
A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square? Answer Choice: (A) 4 cm^2 (B) 6 cm^2 (C) 5 cm^2 (D) 7 cm^2 (E) 8 cm^2
Answer: B
For any numbers a and b, a#b = ab(7 − b). If a and a#b both represent positive numbers, which of the following could be a value of b? Answer Choice: (A) 6,5, (B) 6,5,4, (C) 6,5,4,3, (D) 6,5,4,3,2 (E) 6,5,4,3,2,1
Answer: E
Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B? Answer Choice: (A) 6400 (B) 6500 (C) 7200 (D) 7500 (E) None
Answer: A