loafeihong/math_mmlu_format huggingface dataset:
A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current. Answer Choice: (A) 3 km/hr, 1 km/hr (B) 5 km/hr, 4 km/hr (C) 1 km/hr, 6 km/hr (D) 2 km/hr, 1 km/hr (E) 4 km/hr, 1 km/hr
Answer: A
Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ? Answer Choice: (A) Wednesday (B) Thursday (C) Monday (D) sunday (E) tuesday
Answer: B
A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 4/7 (B) 2/3 (C) 5/8 (D) 1/4 (E) 5/7
Answer: C
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is? Answer Choice: (A) 121 (B) 50 (C) 100 (D) 160 (E) 80
Answer: A
If q and r are both odd numbers B, which of the following must also be odd? Answer Choice: (A) q – r (B) (q + r)^2 (C) q(q + r) (D) (qr)^2 (E) q/r
Answer: D
A, Band C can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days? Answer Choice: (A) 7 days (B) 8 days (C) 9 days (D) 10 days (E) 16 days
Answer: E
The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order? Answer Choice: (A) 58 > 30 > 27 > 14 (B) 58 > 30 > 27 > 15 (C) 58 > 30 > 27 > 16 (D) 58 > 30 > 27 > 17 (E) None
Answer: A
2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be : Answer Choice: (A) 4% increase (B) 24% increase (C) 10% decrease (D) 6% increase (E) None of these
Answer: B
Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500? Answer Choice: (A) 1557.8 (B) 1157.8 (C) 1540.8 (D) 3557.8 (E) 2557.8
Answer: A
The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent? Answer Choice: (A) 50% (B) 100% (C) 25% (D) 15% (E) 60%
Answer: B
The area of a triangle is with base 18m and height 6m? Answer Choice: (A) 88 m2 (B) 10 m2 (C) 66 m2 (D) 54 m2 (E) 31 m2
Answer: D
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make? Answer Choice: (A) 80% (B) 89% (C) 100% (D) 48% (E) 10%
Answer: C
R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field? Answer Choice: (A) 24hours (B) 5 hours (C) 10hours (D) 15hours (E) 20hours
Answer: E
In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? Answer Choice: (A) 30% (B) 51% (C) 90% (D) 100% (E) None of these
Answer: B
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? Answer Choice: (A) 4000 (B) 5000 (C) 2000 (D) 1000 (E) 6000
Answer: C
If k, (k+200), (k+350), and 15*K are all multiples of S then S could equal which of the following ? Answer Choice: (A) 20 (B) S=25 (C) 75 (D) 100 (E) 150
Answer: B
The sum of three consecutive even numbers is 366. Find the middle number of the three? Answer Choice: (A) 111 (B) 123 (C) 122 (D) 152 (E) 142
Answer: C
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 30% of the total school population of x students, what is x? Answer Choice: (A) 125 (B) 173 (C) 225 (D) 250 (E) 500
Answer: B
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour? Answer Choice: (A)  7 (B)  8 (C)  12 (D)  3 (E)  15
Answer: D
A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train? Answer Choice: (A) 100m (B) 180m (C) 159m (D) 250m (E) 152m
Answer: A
Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical? Answer Choice: (A) 4^30 (B) 2^30 (C) 1^30 (D) 3^30 (E) 6^30
Answer: A
John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends? Answer Choice: (A) 3 (B) 8 (C) 10 (D) 15 (E) 20
Answer: D
The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %? Answer Choice: (A) 62.7% (B) 65% (C) 88% (D) 65% (E) 62%
Answer: A
The greatest number of four digits which is divisible by 10, 16, 24 and 80 is: Answer Choice: (A) 9000 (B) 9420 (C) 9660 (D) 9840 (E) 9900
Answer: D
Missing number in the series
4 9 20 43 90 ? Answer Choice: (A) 175 (B) 185 (C) 190 (D) 195 (E) 180
Answer: B
There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________ Answer Choice: (A) 23456 (B) 45678 (C) 42875 (D) 40000 (E) 16000
Answer: C
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 17% (B) 72% (C) 12% (D) 82% (E) 36%
Answer: E
If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river? Answer Choice: (A) (7 , 3) km/hr (B) (7 , 9) km/hr (C) (3 , 3) km/hr (D) (7 , 5) km/hr (E) (7 , 7) km/hr
Answer: A
Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean? Answer Choice: (A)  10.5 (B)  11 (C)  11.5 (D)  12 (E)  8.5
Answer: E
If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is Answer Choice: (A) 45 (B) 79 (C) 50 (D) 55 (E) 60
Answer: B
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is Answer Choice: (A) 15 (B) 20 (C) 25 (D) 30 (E) 32
Answer: D
If there are 200 questions in a 3 hr examination. Among these questions are 100 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Answer Choice: (A) 72 min (B) 62 min (C) 70 min (D) 74 min (E) 120 min
Answer: E
Two trains, each 160 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is? Answer Choice: (A) 26 km/hr (B) 17 km/hr (C) 60 km/hr (D) 77 km/hr (E) 96 km/hr
Answer: E
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl? Answer Choice: (A) 110 (B) 120 (C) 130 (D) 195 (E) 200
Answer: D
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 1.9 sec (C) 8.9 sec (D) 6.9 sec (E) 5 sec
Answer: E
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 231 the Other is Answer Choice: (A) 330 (B) 300 (C) 270 (D) 250 (E) 350
Answer: B
In an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is: Answer Choice: (A) 150 (B) 250 (C) 400 (D) 300 (E) 100
Answer: E
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Answer Choice: (A) Rs. 3642.40 (B) Rs. 3868.80 (C) Rs. 4216.20 (D) Rs. 4082.40 (E) None of these
Answer: D
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Answer Choice: (A) 28 sec (B) 37 sec (C) 21.6 sec (D) 23 sec (E) 27 sec
Answer: C
405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive? Answer Choice: (A) 7 (B) 9 (C) 18 (D) 45 (E) None of these
Answer: B
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3 Answer Choice: (A) I only (B) III only (C) I and II only (D) II and III only (E) I and III only
Answer: B
When 200 is divided by positive integer x, the remainder is 2. What is the remainder when 398 is divided by x? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: A
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage? Answer Choice: (A) a. 150 (B) b. 300 (C) c. 600 (D) d. 1,200 (E) e. 2,400
Answer: B
A group of students was interviewed for that if it was asked whether or not they speak Spanish and / or English. Among those who speak Spanish, 15 speak English well, while 45 of them do not speak English. If 70% of students do not speak Spanish, how many students were surveyed? Answer Choice: (A) 200 (B) 220 (C) 230 (D) 210 (E) 215
Answer: A
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours? Answer Choice: (A) 2.4. (B) 3.2. (C) 4.2. (D) 5.5. (E) 6.4
Answer: B
Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 6 years? Answer Choice: (A) 5x (1+n/100)^5 - x (B) 6x (1+n/100)^4 - x (C) x (1+n/100)^6 - x (D) 2x (1+n/100)^7 - x (E) 4x (1+n/100)^8 - x
Answer: C
If 140/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer Answer Choice: (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II and III
Answer: E
The current in a river is 6 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours? Answer Choice: (A) 69 miles (B) 88 miles (C) 96 miles (D) 91 miles (E) 112 miles
Answer: D
How many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards?	(1 mile = 1,160 yards) Answer Choice: (A) 2 (B) 5 (C) 4 (D) 3.61 (E) 4.3
Answer: D
A train passes a station platform in 30 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) 200 (B) 220 (C) 240 (D) 150 (E) 260
Answer: D
Two tracks are parallel. The first track has 6 checkpoints and the second one has 10 checkpoints. In how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle? Answer Choice: (A) 120 (B) 150 (C) 200 (D) 270 (E) 420
Answer: E
Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is? Answer Choice: (A) 10 (B) 12 (C) 21 (D) 18 (E) 20
Answer: C
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ? Answer Choice: (A) 240 (B) 140 (C) 230 (D) 130 (E) 125
Answer: B
4.509/10.02 = Answer Choice: (A)  0.45 (B)  0.3505 (C)  0.3509 (D)  0.351 (E)  0.3527
Answer: A
An 80-liter solution of cool-drink is made from 10% jasmine water. If 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine? Answer Choice: (A) 12% (B) 14% (C) 16% (D) 18% (E) 20%
Answer: C
The ratio of two numbers is 2 : 3 and their H.C.F. is 6. Their L.C.M. is Answer Choice: (A) 48 (B) 22 (C) 36 (D) 27 (E) 67
Answer: C
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/83 hours (B) 80/13 hours (C) 30/19 hours (D) 30/13 hours (E) 31/13 hours
Answer: D
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Answer Choice: (A) 200 % (B) 75 % (C) 150 % (D) 50 % (E) 70%
Answer: E
If the sum of the first n positive integers is x, then which of the following is the sum of the first 2n even positive integers? Answer Choice: (A) 2x + 2n^2 (B) 3x + 4n^2 (C) 4x + 2n (D) 4x + n^2 (E) 4x + 2n^2
Answer: E
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 7 (B) 8.2 (C) 2 (D) 10.8 (E) 11.2
Answer: D
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone. Answer Choice: (A) 6 Â½ days (B) 1 Â½ days (C) 8 Â½ days (D) 5 Â½ days (E) 2 Â½ days
Answer: B
If x ≠ 0 and x - (2- x^2)/x = y/x, then y = Answer Choice: (A) − 2 − 3x^2 (B) x^2 − 2 (C) 2x^2 − 2 (D) x − 2 − x^2 (E) x − 2 + x^2
Answer: C
If takes 25.5 minutes to download a file using Modem A. Modem B work at 17% of the speed of Modem A. How long does it take to download a file using a Modem B? Answer Choice: (A) 130 minutes (B) 140 minutes (C) 150 minutes (D) 160 minutes (E) 170 minutes
Answer: C
If the selling price of 5 books is same as the cost price of 10 books. Find the gain or loss percentage? Answer Choice: (A) 50% (B) 100% (C) 45% (D) 55% (E) 65%
Answer: B
Two trains of equal length, running with the speeds of 50 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions? Answer Choice: (A) 5.55 sec (B) 4.55 sec (C) 5.95 sec (D) 6.55 sec (E) 9.55 sec
Answer: A
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is: Answer Choice: (A) 22 (B) 28 (C) 32 (D) 48 (E) 92
Answer: A
if b is a positive integer greater than 8, which of the following must be divisible by 4? Answer Choice: (A)  b(b-1)(b+2)(b+3) (B)  b(b-1)(b+3)(b+4) (C)  b(b-3)(b+2)(b+4) (D)  b(b-3)(b+2)(b+3) (E)  b(b+1)(b+3)(b+4)
Answer: D
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is: Answer Choice: (A) 44% (B) 46% (C) 48% (D) 50% (E) 51%
Answer: A
3,9,27,81,.... Answer Choice: (A) 583 (B) 604 (C) 616 (D) 243 (E) 636
Answer: D
A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics? Answer Choice: (A) 21 (B) 27 (C) 26 (D) 80 (E) 28
Answer: D
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If five, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month? Answer Choice: (A) x/15 (B) x/30 (C) x/6 (D) x/5 (E) 5x/6
Answer: B
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an even number
II. P is a multiple of 6
III. P is a multiple of 24 Answer Choice: (A) I only (B) II only (C) III only (D) None of the above (E) All of the above
Answer: E
The price of 5 kilograms of premium fertilizer is the same as the price of 8 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer? Answer Choice: (A) y/30 (B) 5/6*y (C) 6/5*y (D) 5y (E) 8y/3
Answer: E
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits Q are in s(99)? Answer Choice: (A) Q=350 (B) Q=353 (C) Q=354 (D) Q=356 (E) 357
Answer: B
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? Answer Choice: (A) 20:15:16 (B) 20:15:68 (C) 20:15:12 (D) 20:15:11 (E) 20:15:19
Answer: C
A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes Mozzarella, at $504.35 per kilogram, and Romano cheese, at $887.75 per kilogram. If the employees have already shredded 19 kilograms of Mozzarella cheese, how many kilograms of Romano cheese will they need to shred now? Answer Choice: (A) 19kg (B) 13kg (C) 10kg (D) 23kg (E) 15kg
Answer: A
A sum of money becomes triple itself in 16 years. In how many years will it become 5 times at the same rate? Answer Choice: (A) 32 (B) 15 (C) 27 (D) 30 (E) 35
Answer: A
How many positive integers less than 50 are multiples of 6 but NOT multiples of 8? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
Answer: B
Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm? Answer Choice: (A) 189 cm2 (B) 150 cm2 (C) 240 cm2 (D) 177 cm2 (E) 187 cm2
Answer: C
A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61 Answer Choice: (A) 31 (B) 41 (C) 51 (D) 61 (E) 71
Answer: A
Which of the following is the sum of all the even numbers between 1 and 93, inclusive? Answer Choice: (A) 2550 (B) 2450 (C) 2600 (D) 2447 (E) 2652
Answer: D
A cube is divided into 216 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour? Answer Choice: (A) 72 (B) 84 (C) 96 (D) 108 (E) 120
Answer: C
A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform? Answer Choice: (A) Rs.40 (B) Rs.30 (C) Rs.25 (D) Rs.20 (E) Rs.45
Answer: A
Tanya prepared 4 different letters to 3 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address? Answer Choice: (A) 1/24 (B) 1/8 (C) 1/4 (D) 1/3 (E) 3/8
Answer: C
Set R has a mean of 11 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most? Answer Choice: (A) {15, 13} (B) {11, 14} (C) {10, 12} (D) {14, 19} (E) {14, 11}
Answer: C
There are 9 orators A, B, C, D, E, F, G,H and I. In how many ways can the arrangements be made so that A always comes before B and B always comes before C. Answer Choice: (A) 9! / 3! (B) 8! / 6! (C) 5! x 3! (D) 8! / (5! x 3!) (E) 8! / (5! x 4!)
Answer: A
A circular rim A having a diameter of 24 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation. Answer Choice: (A) 5x/4 (B) 4x/3 (C) 6x/5 (D) 8x/7 (E) 9x/8
Answer: A
What is the value of 1×1!+2×2!+3!×3!+............n×n!;where n! means n factorial or n(n−1)(n−2)...1 Answer Choice: (A) n(n−1)(n−1)! (B) n(n−1)(n−1)! (C) n(n−1)(n−1)! (D) (n+1)!−1! (E) None of these
Answer: D
Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms? Answer Choice: (A) 30 km per hour (B) 32 km per hour (C) 49 km per hour (D) 54 km per hour (E) 65 km per hour
Answer: C
The ratio of two numbers is 3:4 and their sum is 21. The greater of the two numbers is? Answer Choice: (A) 12 (B) 14 (C) 16 (D) 17 (E) 19
Answer: A
A plane flies 880 km with the wind and 720 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air? Answer Choice: (A) 140 km/h (B) 160 km/h (C) 180 km/h (D) 200 km/h (E) 220 km/h
Answer: D
Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 24 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)? Answer Choice: (A) 12 km/hr (B) 16 km/hr (C) 20 km/hr (D) 24 km/hr (E) 28 km/hr
Answer: C
We can rent a cabin for x dollars per day for the first 5 days and then y dollars for each additional day. How much will it cost to rent a cabin for z days, where z>5? Answer Choice: (A) 5x + zy (B) 5y+(z-5)x (C) xz + 5y (D) 5x - z + y (E) 5x+(z-5)y
Answer: E
If 4a – 2b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c? Answer Choice: (A) 3 (B) 9 (C) 10 (D) 12 (E) 14
Answer: D
By selling a book for 290, 20% profit was earned. What is the cost price of the book? Answer Choice: (A) A)215 (B) B)241 (C) C)230 (D) D)235 (E) E)240
Answer: B
One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt. Answer Choice: (A) 126 (B) 217 (C) 127 (D) 120 (E) 182
Answer: D
Three friends Ram, Rahul and Raj divide $1000 amongs them in such a way that if $1, $2 and $8 are removed from the sums that Ram, Rahul and Raj received respectively, then the share of the sums that they got will be in the ratio of 6 : 7 : 10. How much did Raj receive? Answer Choice: (A) $434 (B) $458 (C) $438 (D) $448 (E) $478
Answer: C
What is the smallest possible common multiple of three integers, all larger than 22? Answer Choice: (A) 27. (B) 54. (C) 846. (D) 19,656. (E) 23
Answer: E
The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years R in which the population would be doubled assuming there is no emigration or immigration is Answer Choice: (A) 20 (B) R=25 (C) R=30 (D) R=35 (E) 40
Answer: D
If Jan 1, 2006 was a Friday, What was the day of the week Jan 1, 2010? Answer Choice: (A) Friday (B) Thursday (C) Tuesday (D) Saturday (E) Wednesday
Answer: E
A 6-liter solution is 35% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol? Answer Choice: (A) 1.5 (B) 1.8 (C) 2.1 (D) 2.4 (E) 2.7
Answer: B
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years? Answer Choice: (A) 9% (B) 11% (C) 8% (D) 10% (E) 20%
Answer: D