loafeihong/math_mmlu_format huggingface dataset:
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%? Answer Choice: (A) 299 (B) 266 (C) 278 (D) 500 (E) 277
Answer: D
In a kickball competition of 7 teams, how many possible matches can each team play with each other? Answer Choice: (A)  9 (B)  16 (C)  24 (D)  21 (E)  54
Answer: D
If n = (33)^40 + (43)^33 what is the units digit of n? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8
Answer: A
A car takes 6 hours to cover a distance of 432 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 48 Kmph (B) 50 Kmph (C) 52 Kmph (D) 56 Kmph (E) 60 Kmph
Answer: A
Ramu bought an old car for Rs. 42000. He spent Rs. 12000 on repairs and sold it for Rs. 64900. What is his profit percent? Answer Choice: (A) 12% (B) 16% (C) 20.18% (D) 82% (E) 23%
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Answer Choice: (A) 134560 m (B) 1354760 m (C) 153600 m (D) 167800 m (E) 153600 m
Answer: C
16 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area? Answer Choice: (A) 2√2 (B) 4 (C) 5 (D) 4√2 (E) none of these
Answer: B
Jibin went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ? Answer Choice: (A) 3 km (B) 6 km (C) 4.5 km (D) km (E) none of the above
Answer: C
Indu gave Bindu Rs.1875 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) s.10 (B) s.2 (C) s.5 (D) s.3 (E) s.4
Answer: D
Jonathan, Matthew and Zac are picking strawberries from their yard. Together they have picked a total of 550 strawberries. Jonathan and Matthew have picked 350 strawberries together. Matthew and Zac have picked 250 strawberries together. How many strawberries has Zac picked by himself? Answer Choice: (A) 100 (B) 200 (C) 350 (D) 50 (E) 250
Answer: B
Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject? Answer Choice: (A) 66 (B) 74 (C) 78 (D) 80 (E) None of these
Answer: D
Ages of two persons differ by 20 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age Answer Choice: (A) 12,28 (B) 14,30 (C) 16,36 (D) 18,34 (E) 19,34
Answer: C
A train running at the speed of 90 km/hr crosses a pole in 5 seconds. Find the length of the train. Answer Choice: (A) 150 meter (B) 145 meter (C) 140 meter (D) 125 meter (E) None of these
Answer: D
45 men working 8 hours per day dig 30 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) 338 (B) 667 (C) 188 (D) 100 (E) 281
Answer: D
108.	Triangle A’s base is 12% greater than the base of triangle B, and A’s height is 12% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B? Answer Choice: (A)  9 % less (B)  0.7 % less (C)  Equal to each other (D)  1 % more (E)  9 % more
Answer: B
a, b, c, and d are positive consecutive integers and a < b < c < d.
If the product of the highest and lowest numbers is three more than the square of the second number, what is the value of the third number? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: E
Which of the following must be an integer if the integer x is divisible by both 18 and 12? Answer Choice: (A) x/252 (B) x/189 (C) x/126 (D) x/36 (E) x/81
Answer: D
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 360 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day? Answer Choice: (A) 400 (B) 475 (C) 480 (D) 625 (E) 700
Answer: C
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 876 m (B) 157 m (C) 225 m (D) 156 m (E) 167 m
Answer: C
A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 100 kmph. When will he overtake the thief? Answer Choice: (A) 9a.m. (B) 9.30a.m. (C) 10a.m. (D) 8 a.m. (E) 10.15a.m.
Answer: D
Riya purchase 20 jars in a store then she returned 4 jars to store .Now how many jars she had? Answer Choice: (A) A)5 (B) B)11 (C) C)19 (D) D)16 (E) E)4
Answer: D
Tom, who has 50 math questions, will get 5 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions? Answer Choice: (A) 192 (B) 193 (C) 194 (D) 195 (E) 196
Answer: C
What is the probability of drawing a "Queen" from a deck of 52 cards? Answer Choice: (A) 2/7 (B) 1/13 (C) 3/5 (D) 2/8 (E) 1/7
Answer: B
In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is: Answer Choice: (A) 5 km/h (B) 8 km/h (C) 10 km/h (D) 15 km/h (E) 25 km/h
Answer: C
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? Answer Choice: (A) Either 37 ;30:1 (B) Either ;35:1 (C) Either 15;15:12 (D) Either 21;35:1 (E) Either 17;35:12
Answer: B
How long does a train 130 m long running at the speed of 98 km/hr takes to cross a bridge 160 m length? Answer Choice: (A) 13.9 sec (B) 13.1 sec (C) 17.9 sec (D) 61.9 sec (E) 47.98 sec
Answer: B
A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part Answer Choice: (A) 17 inches (B) 20 inches (C) 15 inches (D) 18 inches (E) 19 inches
Answer: B
A bag contains 6red, 5blue and 2green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 2/21 (B) 3/41 (C) 5/26 (D) 3/31 (E) 5/32
Answer: C
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D? Answer Choice: (A) 89% (B) 10% (C) 70% (D) 80% (E) 73%
Answer: C
The greatest possible length which can be used to measure exactly the length 6m, 2m 25cm, 10 m 90 cm is Answer Choice: (A) 15 cm (B) 5 cm (C) 25 cm (D) 42 cm (E) 43 cm
Answer: B
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school? Answer Choice: (A) 10 (B) 25 (C) 30 (D) 35 (E) 40
Answer: B
Find the term next in series..
1,1/2,3/2,2,5,1/3, 16/3, 15,12,1/4,25/4,? Answer Choice: (A) next number is 48 (B) 58 (C) 40 (D) 43 (E) 44
Answer: A
A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly : Answer Choice: (A) 21.6 % (B) 21.9 % (C) 21.7 % (D) 21.2 % (E) 21.1 %
Answer: A
The selling price of 13 apples is the same as the cost price of 26 mangoes . The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is the profit on selling apples? Answer Choice: (A) 20% (B) 25% (C) 40% (D) 50% (E) 60%
Answer: B
Sudhir started a business with Rs.50,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be Answer Choice: (A) 3:2 (B) 5:2 (C) 4:3 (D) 3:4 (E) 3:5
Answer: B
Michael drives to hospital in 30 minutes at certain speed & he doubles his speed while returning. Calculate the total time taken for the round trip Answer Choice: (A) 30 minutes (B) 20 minutes (C) 45 minutes (D) 60 minutes (E) 40 minutes
Answer: C
y=x/(x-k),where k is a constant,and x is real number.show that.
1.y increase with increase in x.
2.y decreases first and then increase with the value of x.
3.y increase then decrease with the value of x.
4.it remains constant. Answer Choice: (A) 2 (B) 18 (C) 1 (D) 77 (E) 33
Answer: B
Calculate Ruth's average score in an exam if she obtained the following marks 69, 89, 65, 82 and 58 out of 100 in different subjects. Answer Choice: (A) 75.6 (B) 72.6 (C) 71.6 (D) 73.6 (E) 74.6
Answer: B
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together. Answer Choice: (A) 48 (B) 55 (C) 58 (D) 62 (E) 70
Answer: B
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (3,5), (9,5), (2,7), (8,7) ? Answer Choice: (A) 21. (B) 28. (C) 35. (D) 12. (E) 52.
Answer: D
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a six-percent vinegar solution, what was the concentration of the original solution? Answer Choice: (A) 19.3% (B) 31% (C) 16.67% (D) 15.5% (E) 12.5%
Answer: B
A circular path of 20 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2? Answer Choice: (A) Rs.49 (B) Rs.40 (C) Rs.44 (D) Rs.42 (E) Rs.66
Answer: E
2: 3 = 4/5: x. The value of x is? Answer Choice: (A) 6/5 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Answer Choice: (A) 2000 (B) 3377 (C) 2667 (D) 2887 (E) 2677
Answer: A
If a certain sample of data has a mean of 30.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? Answer Choice: (A) (14.0; 16.5) (B) (14.5; 21.0) (C) (14.0; 26.5) (D) (16.5; 26.0) (E) (21.0; 36.5)
Answer: E
An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is: Answer Choice: (A) 3% (B) 5% (C) 8% (D) 12% (E) None
Answer: B
A question paper consists of two sections A and B having respectively 3 and 4 questions.Four questions are to be solved to qualify in that paper.It is compulsory to solve at least one question from section A and 2 questions from section B .In how many ways can a candidate select the questions to qualify in that paper? Answer Choice: (A) 30 (B) 40 (C) 42 (D) 44 (E) 46
Answer: A
Q-1) Of the 84 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 11 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 2 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments? Answer Choice: (A) 25 (B) 40 (C) 38 (D) 42 (E) 45
Answer: B
A fruit seller had some mangoes. He sells 30% mangoes and still has 280 mangoes. Find the number of mangoes he had. Answer Choice: (A) 588 mangoes (B) 400 mangoes (C) 672 mangoes (D) 700 mangoes (E) None of these
Answer: B
3^15 + 3^15 + 3^15 = Answer Choice: (A) 3^20 (B) 9^12 (C) 3^18 (D) 9^15 (E) 3^16
Answer: E
Rahul can finish one-fifth of hhis homework in one hour.Neha can finish three-seventh of her homework in one hout thirty minutes and riya can finish three fourth of her homework in three hours thirty minutes.If all of them start their homework at 12:00pm and can go to play as soon as they all finish their homework,when can they start to play,if they take a break at 3:30pm for thirty minutes? Answer Choice: (A) 5.00pm (B) 5:30pm (C) 4.40pm (D) 6.30pm (E) 3.30pm
Answer: B
Five kilograms of oranges contained 98% of water. If the next day the concentration of water decreased by 2%, what was the new weight of the oranges, in kilograms? Answer Choice: (A) 4.9 (B) 4.8 (C) 2.5 (D) 2 (E) 0.2
Answer: C
Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him? Answer Choice: (A) $ 3500 (B) $ 3600 (C) $ 3800 (D) $ 3000 (E) $ 4000
Answer: D
A train 140 m long is running with a speed of 50 km/hr. In what time will it pass a man who is running at 4 km/hr in the direction opposite to that in which the train is going? Answer Choice: (A) 8.1 (B) 7.0 (C) 9.33 (D) 8 (E) 9
Answer: C
A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by­­ ________ each working now for 10 hours daily, the work can be completed in time. Answer Choice: (A) 140 workers (B) 150 workers (C) 160 workers (D) 155 workers (E) 130 workers
Answer: B
Steve Purchased a house for $15000 and he like to resell it with 20% profit. And what price he want to sell that? Answer Choice: (A) 16000 (B) 17500 (C) 18000 (D) 19500 (E) 21000
Answer: C
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: Answer Choice: (A) 101 (B) 107 (C) 111 (D) 185 (E) 192
Answer: C
A certain company items price list has an average of 6 and a standard deviation of d (d is positive). Which of the following pairs of data when added to the list, must result in a list of 102 data with standard deviation less than d? Answer Choice: (A) (-6;0) (B) (0;0) (C) (0;6) (D) (0;12) (E) (6;6)
Answer: E
An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP? Answer Choice: (A) Rs. 60 (B) Rs. 69 (C) Rs. 72 (D) Rs. 89 (E) Rs. 92
Answer: C
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 1/15 (B) 2/13 (C) 5/26 (D) 6/27 (E) 6/13
Answer: C
In how many ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order? Answer Choice: (A) 736 (B) 768 (C) 792 (D) 840 (E) 876
Answer: D
Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 2 hours? Answer Choice: (A) 450 (B) 750 (C) 1,800 (D) 5,900 (E) 7,500
Answer: A
If s and t are positive integers such that s/t = 64.28, which of the following could be the remainder when s is divided by t? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 21 (E) 24
Answer: D
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? Answer Choice: (A) 7% (B) 9% (C) 4% (D) 2% (E) 4%
Answer: C
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $81, how much does one shirt cost? Answer Choice: (A) $10 (B) $12 (C) $13.20 (D) $21 (E) $16.80
Answer: D
In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 49π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green? Answer Choice: (A) 100PI (B) 144PI (C) 196 PI (D) 80 (E) 90
Answer: C
8 * 8 * 8 * 8 = 2^ ? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
Answer: E
A wheel makes 1200 revolutions in covering a distance of 60 km. Find the radius of the wheel. Answer Choice: (A) 10.5m (B) 11m (C) 11.25m (D) 11.45m (E) None of these
Answer: D
(2^2-1)(2^2+1)(2^4+1)(2^11+1)= Answer Choice: (A) 2^19 - 1 (B) 2^16 + 1 (C) 2^32 - 1 (D) 2^128 - 1 (E) 2^16(2^16-1)
Answer: A
Pipe A can fill a tank in 4 hours, pipe B in 8 hours, and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 2.4 hours (B) 2.8 hours (C) 3.2 hours (D) 4.8 hours (E) 5.2 hours
Answer: A
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 24 years. The present age of the husband is Answer Choice: (A) 40 (B) 32 (C) 45 (D) 55 (E) 65
Answer: B
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? Answer Choice: (A) Rs.5800 (B) Rs.5480 (C) Rs.5400 (D) Rs.5900 (E) Rs.5430
Answer: C
From a group of 6boys&4girls 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 2 boys? Answer Choice: (A) 126 (B) 138 (C) 185 (D) 198 (E) 200
Answer: C
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Answer Choice: (A) 167 (B) 280 (C) 187 (D) 178 (E) 170
Answer: B
Jar Y has 10% more marbles than Jar X . What percent of marbles from Jar Y need to be moved into X so that both jars have equal marbles Answer Choice: (A) 4.54% (B) 9.09% (C) 10% (D) 11% (E) 12.25 %
Answer: A
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets E sold was 25,200, how many of them were sold at full price? Answer Choice: (A) 21,000 (B) 19,800 (C) 16,500 (D) 15,800 (E) 8,700
Answer: C
In an interview , the probability of appointing Husband is 1/5 while that of wife is
¼.find probability that only one of them get selected in interview. Answer Choice: (A) 3/20 (B) 4/20 (C) 5/20 (D) 6/20 (E) 7/20
Answer: E
What is the sum which earned interest?
I. The total simple interest was Rs. 7000 after 7 years.
II. The total of sum and simple interest was double of the sum after 5 years. Answer Choice: (A) I alone sufficient while II alone not sufficient to answer (B) II alone sufficient while I alone not sufficient to answer (C) Either I or II alone sufficient to answer (D) Both I and II are necessary to answer (E) None of these
Answer: D
A is thrice as good a workman as B and therefore is able to finish a job in 40 days less than B. working together, they can do it in Answer Choice: (A) days (B) ½ days (C) days (D) days (E) days
Answer: A
The sum of 36 hours 45 minutes and 12 hours 15 minutes is approximately what percent of a week? Answer Choice: (A)  24% (B)  approx 29% (C)  approx 24% (D)  approx 18% (E)  approx 12%
Answer: B
Positive integer p has n factors; 3p has 3 factors; Which of the following values can n take?
I. 1
II. 2
III. 3 Answer Choice: (A) I or II (B) II or III (C) only I is true (D) only II is true (E) I or III
Answer: D
Sum of the numbers from 1 to 29 is Answer Choice: (A) 400 (B) 430 (C) 435 (D) 405 (E) None of these
Answer: C
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is T: Answer Choice: (A) T=1 (B) T=2 (C) T=3 (D) T=4 (E) T=5
Answer: B
When 81 is divided by the cube of positive integer z, the remainder is 17. Which of the following could be the value of z?
I.	2
II.	4
III.	8 Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II and III
Answer: B
Magnabulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding c boxes. What is the price charged per magnet, if Magnabulk charges m dollars for each crate? Answer Choice: (A) 100cd/m (B) 100m/(cd) (C) cd/(100m) (D) m/(cd) (E) cd/m
Answer: D
In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows. Answer Choice: (A) A)14 (B) B)12 (C) C)16 (D) D)8 (E) E)6
Answer: C
If the sum of six numbers is between 135 and 164, then the average (arithmetic mean) of the six numbers could be which of the following? Answer Choice: (A) 15.4. (B) 20.5 (C) 25.5 (D) 31.25 (E) 32.5.
Answer: C
70% of 300 + 25% of 400 - ? = 256 Answer Choice: (A) 48 (B) 68 (C) 54 (D) 60 (E) None of these
Answer: C
Indu gave Bindu Rs.6250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) 5 (B) 2 (C) 10 (D) 5 (E) 1
Answer: C
For what value of â€œkâ€ will the equation (2kx2 + 5kx +1)=0 have equal roots? Answer Choice: (A) 2/7 (B) 9/4 (C) 8/25 (D) 7/1 (E) 7/2
Answer: C
In a college, 95 percent of students Passed in math, 97 percent of students Passed in English, 99 percent Passed in French and 92 percent Passed in German.
Can you find out the percentage of students who Passed in all 4 subjects ? Answer Choice: (A) 92% (B) 90% (C) 96% (D) 83% (E) 89%
Answer: D
A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 120 kilometers? Answer Choice: (A) 8.5 gallons (B) 5 gallons (C) 7 gallons (D) 5.5 gallons (E) 6 gallons
Answer: E
Three candidates contested an election and received 1130, 7530 and 11620 votes respectively. What percentage of the total votes did the winning candidate get? Answer Choice: (A) 57% (B) 57.3% (C) 65% (D) 90% (E) 80%
Answer: B
A and B can do a piece of work in 10 days, B and C in 15 days, C and A in 12 days. How long will C take to do it? Answer Choice: (A) 70 days (B) 55 days (C) 24 days (D) 40 days (E) 11 days
Answer: D
C, D and E invested Rs.4500, Rs.9500 and Rs.11000 respectively, in a partnership business. Find the share of E in profit of Rs.25000 after a year? Answer Choice: (A) 10000 (B) 11000 (C) 12000 (D) 13000 (E) 14000
Answer: B
If 0 < a < b and k = (2a + 9b)/b , which of the following must be true? Answer Choice: (A) k < 2 (B) k < 7 (C) k < 9 (D) k > 9 (E) k > 11
Answer: D
There are A girls in a class, and their average height is M inches. In the same class, there are B boys with an average height of N inches. What is the average height of all the students in the class? Answer Choice: (A) (X + Y)/(M + N) (B) (M + N)/(X + Y) (C) (AM + BN)/(A + B) (D) (XM + YN)/(X + Y) (E) MN/XY
Answer: C
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? Answer Choice: (A) 80 (B) 90 (C) 15 (D) 209 (E) 105
Answer: D
85% of a number is added to 24, the result is the same number. Find the number? Answer Choice: (A) 228 (B) 267 (C) 277 (D) 160 (E) 882
Answer: D
Which of the following cannot be true if the sum of k consecutive integers is 0?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative Answer Choice: (A) I only (B) II only (C) III only (D) I and III (E) I, II and III
Answer: D
The population of a town increases by 10% per annum for two years then decreases by 10% per annum for the next two years, if the population of the town four year ago was 10000, what would it be today? Answer Choice: (A) 9500 (B) 9801 (C) 10100 (D) 9000 (E) None of these
Answer: B
Which of the following options is the correct value of z if the greatest common divisor of (z-1)!,(z+2)!, and (z+4)! is 120. Answer Choice: (A) 9 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
The speed of a bus including stoppages is 35 kmph and excluding stoppages is 70 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) 7 (B) 15 (C) 25 (D) 30 (E) 35
Answer: D