loafeihong/math_mmlu_format huggingface dataset:
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1500. He sold both the items together for Rs. 4000. What percentage of profit did he make? Answer Choice: (A) 14.28% (B) 1.20% (C) 15.21% (D) 14.20% (E) 10.32%
Answer: A
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Answer Choice: (A) 600 (B) 299 (C) 797 (D) 179 (E) 642
Answer: A
A city with a population of 97,500 is to be divided into 6 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have? Answer Choice: (A) 15,000 (B) 15,500 (C) 16,000 (D) 16,500 (E) 17,000
Answer: A
Hillary and Tenzing are climbing to the summit of Mt. Everest from a base camp 4,800 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Tenzing lagging behind at a slower rate of 500 ft/hr. If Hillary stops 800 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Tenzing pass each other on her return trip? Answer Choice: (A) 12.0 (B) 11.0 (C) 10.0 (D) 13.0 (E) 14.0
Answer: A
In a BCCI meeting there are 12 people. All shake hands with each other once. How many handshakes will be there altogether? Answer Choice: (A) 28 (B) 11 (C) 12 (D) 19 (E) 18
Answer: B
If a and b are positive integers, and a=4b+16, the greatest common divisor of a and b CANNOT be Answer Choice: (A) 2 (B) 9 (C) 4 (D) 8 (E) 16
Answer: B
Find the 21th term of an arithmetic progression whose first term is 3 and the common difference is 5. Answer Choice: (A) 100 (B) 102 (C) 103 (D) 150 (E) 46
Answer: C
What is the next number of the following sequence
7,0,1,8,5,12,9,2,6,3,2,? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: B
Complete the numerical sequence by replacing the question mark with the correct numbers.
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
9+5+5 = ?????? Answer Choice: (A) 3 (B) 588447 (C) 845668 (D) 454585 (E) 544586
Answer: D
One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize? Answer Choice: (A) 1/5 (B) 2/7 (C) 2/9 (D) 3/11 (E) 4/11
Answer: B
What least number should be subtracted from 642 so that the remainder when divided by 5, 7, and 9 will leave in each case the same remainder 4 ? Answer Choice: (A) 5 (B) 6 (C) 8 (D) 9 (E) 10
Answer: C
If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"RAM" would be Answer Choice: (A) 312 (B) 128 (C) 632 (D) 122 (E) 156
Answer: B
If 123xy is divisible by 40, then the value in place of x+y is : Answer Choice: (A) 1 (B) 7 (C) 4 (D) 3 (E) 9
Answer: C
In a sample of associates at a law firm, 25 percent are second-year associates, and 75 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years? Answer Choice: (A) 0 (B) 25 (C) 50 (D) 75 (E) 100
Answer: C
Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 9 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score? Answer Choice: (A) 22 (B) 30 (C) 40 (D) 50 (E) 60
Answer: A
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT Answer Choice: (A) 3x^3 (B) x(x+1)(x+2) (C) 9x (D) 9x^2 (E) x+3
Answer: E
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Answer Choice: (A) 32 kmph (B) 34 kmph (C) 30 kmph (D) 45 kmph (E) 65 kmph
Answer: C
If 15!/3^x is an integer, what is the greatest possible value of x? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length R of the fence including the fence posts on each end? Answer Choice: (A) mn (B) m(n + x) (C) R=m(n + x) + x (D) m(n + x) + 2x (E) 2mn
Answer: C
A 20% stock yielding 8% is quoted at? Answer Choice: (A) 165 (B) 170 (C) 250 (D) 180 (E) 185
Answer: C
Jim bought edging to go around a circular garden with a radius of 6 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy? Answer Choice: (A) 28.84' additional edging (B) 48.84' additional edging (C) 38.84' additional edging (D) 18.84' additional edging (E) 37.68' additional edging
Answer: E
Find the amount of rs.7500 at compound interest at 4%per annum for 2 years? Answer Choice: (A) 8112 (B) 9110 (C) 7160 (D) 6210 (E) 8021
Answer: A
10^196 - 10^9 = Which of the following best approximates the value of the expression above? Answer Choice: (A) 10^186 (B) 10^196 (C) 10^100 (D) 10^150 (E) 10^170
Answer: B
After decreasing 20% in the price of an article costs Rs.600. Find the actual cost of an article? Answer Choice: (A) 775 (B) 620 (C) 53 (D) 530 (E) 220
Answer: A
The cost price of 25 books is the same as the selling price of ’X’ books. If the profit is 25%, then the value of X is ? Answer Choice: (A) 12.8 (B) 18 (C) 16 (D) 15 (E) 14
Answer: A
total dinning bill of 3 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . Answer Choice: (A) 21.84 (B) 50.96 (C) 53.84 (D) 24.84 (E) 50.26
Answer: B
The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs. 3. The ratio of the two selling prices is? Answer Choice: (A) 52:56 (B) 52:53 (C) 52:50 (D) 22:56 (E) 51:53
Answer: E
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 16?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 16? Answer Choice: (A) 25x^2 + 4 = y^2 (B) 75x^2 = 3y^2 - 12 (C) 25x^2 = (y + 2)(y - 2) (D) 5x = y - 4 (E) x^2 = (y^2 - 4)/25
Answer: D
A vessel of capacity 45 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? Answer Choice: (A) 28.8 (B) 72.9 (C) 38.3 (D) 78.3 (E) 79.3
Answer: A
Three distinct single digit no A,B,C are in G.P. If abs(x) for real x is the absolute value of x(x if x is positive or zero, and x if x is negative),then the no. of different possible values of abs(A+B-C) is Answer Choice: (A) 6 (B) 4 (C) 3 (D) 5 (E) 2
Answer: D
15 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) 18.75 days (C) 20 days (D) 88 days (E) 44 days
Answer: B
What is the sum of the digits of integer k, if k = (10^45- 46) Answer Choice: (A) 356 (B) 366 (C) 363 (D) 396 (E) 408
Answer: D
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes? Answer Choice: (A) 1:1 (B) 1:5 (C) 2:3 (D) 1:2 (E) 2:5
Answer: A
Given
A+B+C=100
60A+40B+C=2000
Find A+B=? Answer Choice: (A) 76 (B) 74 (C) 40 (D) 44 (E) can't determine
Answer: C
A batsman scored 120 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) 40% (B) 50% (C) 60% (D) 70% (E) 80%
Answer: B
The average of a couple was 18Yrs when they were married 20Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 26Yrs now. How old is the
child now ? Answer Choice: (A) 2 Yrs (B) 4 Yrs (C) 3 Yrs (D) 1 Yrs (E) None of these
Answer: A
If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y? Answer Choice: (A) 8 (B) 21 (C) 25 (D) 44 (E) 47
Answer: B
An artist wishes to paint a circular region on a square poster that is 3 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet? Answer Choice: (A) 1/pi (B) sqrt(2/pi) (C) sqrt(4.5/pi) (D) 2/sqrt(pi) (E) pi/2
Answer: C
Train A is stopped at a railway station and train B is passing the train A with a speed of 62kph. Train A and B are having lengths of 200m and 185m respectively. How long it will take the train B to pass train A? Answer Choice: (A) 14.45 (B) 19.82 (C) 22.36 (D) 28.38 (E) 31.91
Answer: C
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make? Answer Choice: (A) 20.88%loss (B) 20.98%loss (C) 20.78%loss (D) 20.38%loss (E) 10.98%loss
Answer: B
Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, sam's new income would be what fraction of Quentin's new income? Answer Choice: (A) 	11/12 (B) 	12/11 (C) 	13/19 (D) 	12/19 (E) 	11/19
Answer: B
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -. Answer Choice: (A) 1/2 (B) 16/19 (C) 4/5 (D) 17/20 (E) 3/5
Answer: D
Find the odd man out 17, 39, 171, 347 Answer Choice: (A) 18 (B) 18 (C) 83 (D) 82 (E) 39
Answer: C
The radius of a semi circle is 6.3 cm then its perimeter is? Answer Choice: (A) 32.7 (B) 32.4 (C) 32.5 (D) 32.9 (E) 32.2
Answer: B
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 72,030,000, how many red beads were removed? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 5 points if you must draw exactly 3 “low” cards? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855. the total profit is Answer Choice: (A) Rs. 1425 (B) Rs. 1500 (C) Rs.1537 (D) Rs.1576 (E) None
Answer: B
Evaluate: 35 - 12*3*2 = ? Answer Choice: (A) 62 (B) 52 (C) 32 (D) 27 (E) 22
Answer: D
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together? Answer Choice: (A) 10080 (B) 4989600 (C) 120960 (D) 180960 (E) None of these
Answer: C
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 34 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake? Answer Choice: (A) 33 (B) 2^4*3 (C) 24 (D) 38 (E) 47
Answer: A
Murali travelled from city A to city B at a speed of 4 kmph and from city B to city C at 6 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
A. 48 kmph Answer Choice: (A) 33 (B) 5 (C) 28 (D) 7 (E) 16
Answer: B
There are 134 toys coloured red and white in a box. Two red toys are removed from the lot and now there are twice as many red ones as white ones. How many of red colour toys are there now? Answer Choice: (A) 76 (B) 86 (C) 90 (D) 88 (E) 78
Answer: D
8 and 2 are the first two terms in a geometric sequence. What is the arithmetic difference between the 3rd term and the 4th term? Answer Choice: (A) (3) * (1/4)^3 (B) (6) * (1/4)^3 (C) (6) * (1/8)^3 (D) (6) - (1/4)^3 (E) (6) / (1/4)^3
Answer: B
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Answer Choice: (A) 3.6 (B) 7.2 (C) 8.4 (D) 10 (E) 9
Answer: B
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar? Answer Choice: (A) Rs. 1(2/9) (B) Rs. 2(2/7) (C) Rs. 2(2/11) (D) Rs. 2(2/13) (E) Rs. 2(1/9)
Answer: B
A man invests Rs. 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum? Answer Choice: (A) Rs. 1200 (B) Rs. 1300 (C) Rs. 1500 (D) Rs. 2000 (E) None of these
Answer: C
If we have 12 people in a meeting, in how many ways they can sit around a table? Answer Choice: (A) 11*10! (B) 9*8! (C) 8*7! (D) 7*6! (E) 6*5!
Answer: A
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? Answer Choice: (A) 33 (B) 88 (C) 40 (D) 99 (E) 11
Answer: C
An arithemetic sequence of numbers begins p, 2p + 2, 4p + 3... What is the 12th member of this sequence? Answer Choice: (A) A)37 (B) B)40 (C) + 13 (D) D)34 (E) + 13
Answer: D
Evaluate 75 / .05 Answer Choice: (A) 1400 (B) 1500 (C) 1505 (D) None of these (E) 1506
Answer: B
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train? Answer Choice: (A) 22 (B) 23 (C) 25 (D) 27 7/9 (E) 27
Answer: D
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 337 (B) 278 (C) 288 (D) 860 (E) 721
Answer: D
What is the remainder when 570 is divided by 6? Answer Choice: (A) 1 (B) 5 (C) 4 (D) 0 (E) 2
Answer: A
a,b,c are positive numbers such that they are in increasing Geometric progression then how many such numbers are there in (loga+logb+logc)/6 =log6 Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
List I: 2, 4, 6, 8 List II: x,2, 4, 6, 8 Answer Choice: (A) 7 (B) 5 (C) 9 (D) 11 (E) 13
Answer: B
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If
they are 85 km apart both 3 and 6 hours after start, then find the distance between the two stations. Answer Choice: (A) 255km (B) 210km (C) 220km (D) 180km (E) 200km
Answer: A
In a series of football matches, the probability that Team P wins a match against Team Q is 1/4 and the probability that the match ends in a draw is 1/6. If the two teams play five matches, what is the probability that all five matches end in a draw? Answer Choice: (A) 1/4436 (B) 1/5546 (C) 1/6656 (D) 1/7776 (E) 1/8886
Answer: D
For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d d feet from the source is given by the formula S=60k/d^2 60, where k is a constant. If the intensity of the light is 40 candles at a distance of 6 feet from the source, what is the intensity of the light at a distance of 30 feet from the source? Answer Choice: (A) 3/10 candles (B) 1/2 candles (C) 8/5 candles (D) 2 candles (E) 3 candles
Answer: C
Jemma takes 2 hours to swim the 4 miles from buoy A to buoy B. Tired from her swim, she then continues to buoy C at half her previous speed. If buoy C is 6 miles away from buoy B, how many more hours will pass before Jemma reaches Buoy C? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.470 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office. Answer Choice: (A) 400 (B) 420 (C) 430 (D) 450 (E) 525
Answer: E
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? Answer Choice: (A) 42, 33 (B) 42, 36 (C) 44, 33 (D) 44, 36 (E) None of these
Answer: A
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is: Answer Choice: (A) 4000 (B) 6000 (C) 18000 (D) 10000 (E) None of these
Answer: C
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 772. Answer Choice: (A) 120 ,122 , 124 ,126 (B) 120 ,122 , 124 ,128 (C) 120 ,121 , 122 ,123 (D) 125 , 127 ,129, 131 (E) None of these
Answer: D
A shepherd had 17 sheep. All but nine died. How many was he left with ? Answer Choice: (A) Nil (B) 8 (C) 9 (D) 17 (E) 18
Answer: C
If s is a positive even integer, and n and m are consecutive integers, then (n - m)^s/(m - n)^s = Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: D
For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n, inclusive. For instance, h(10)= 2x4x6x8x10. What is the greatest prime factor of h(28)+h(30)? Answer Choice: (A) 5 (B) 7 (C) 13 (D) 29 (E) 31
Answer: E
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 77 (B) 30 (C) 108 (D) 66 (E) 12
Answer: C
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 38 min, then the slower pipe alone will be able to fill the tank in? Answer Choice: (A) 229 (B) 787 (C) 152 (D) 128 (E) 121
Answer: C
What is the unit digit in (4137)^754? Answer Choice: (A) 1 (B) 3 (C) 7 (D) 9 (E) None of these
Answer: D
The arithmetic mean of the scores of a group of students in a test was 40. The brightest 10% of them secured a mean score of 60 and the dullest 20% a mean score of 30. The mean score of remaining 70% is? Answer Choice: (A) 25 (B) 30 (C) 40 (D) 42 (E) 48
Answer: C
The fraction 878(21/10000) in decimal form is Answer Choice: (A) None of these (B) 878.0021 (C) 878.00021 (D) 878.021 (E) Cannot be determined
Answer: B
There are 280 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers. Answer Choice: (A) 600 (B) 650 (C) 700 (D) 750 (E) None of these
Answer: C
If 7a - 3b = 10b + 40 = -12b - 2a, what is the value of 9a + 9b? Answer Choice: (A) -5 (B) -3 (C) 0 (D) 3 (E) 5
Answer: C
A bag contains 6 black and 4 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 3/4 (B) 2/5 (C) 1/7 (D) 1/8 (E) 4/3
Answer: B
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 5 = f(3x – 6) Answer Choice: (A) 0 (B) 4 (C) 6 (D) 7 (E) 13
Answer: C
Ashok secured average of 76 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) 86 (E) None of these
Answer: D
What is the smallest positive integer x such that 66-x is the cube of a positive integer Answer Choice: (A) 5 (B) 7 (C) 47 (D) 9 (E) 2
Answer: E
Which one of the following is a prime number? Answer Choice: (A) 45 (B) 90 (C) 81 (D) 29 (E) 91
Answer: D
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.00 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost? Answer Choice: (A) s.666 (B) s.1140 (C) s.999 (D) s.1085 (E) s.1020
Answer: A
In a given set of S = {1,2,3,4,5,6,7,8} what is the median of the set S? Answer Choice: (A) 4 (B) 4.5 (C) 5 (D) 3.5 (E) 6
Answer: B
A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper? Answer Choice: (A) 20% (B) 25% (C) 32% (D) 46.66% (E) 50%
Answer: C
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: Answer Choice: (A) 276 (B) 299 (C) 322 (D) 345 (E) None
Answer: C
If the area of circle is 616 sq cm then its circumference? Answer Choice: (A) 22 (B) 88 (C) 77 (D) 51 (E) 21
Answer: B
The H.C.F of two numbers is 8. Which of the following can never be their L.C.M? Answer Choice: (A) 55 (B) 44 (C) 66 (D) 60 (E) 12
Answer: D
The ratio of the radius of two circles is 1: 4, and then the ratio of their areas is? Answer Choice: (A) 1: 16 (B) 1: 6 (C) 1: 9 (D) 1: 3 (E) 1: 2
Answer: A
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 10.30 am (B) 10 am (C) 9 am (D) 11 am (E) 12 am
Answer: A
A bag contains 7 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls? Answer Choice: (A) 1/7 (B) 2/9 (C) 1/12 (D) 4/17 (E) 2/3
Answer: C
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 50,000 as total savings, how much has he saved in Public Provident Fund ? Answer Choice: (A) Rs. 20,000 (B) Rs. 30,000 (C) Rs. 60,000 (D) Rs. 90,000 (E) None
Answer: A
What is the units digit of the expression 13^27 +1? Answer Choice: (A) 1 (B) 3 (C) 4 (D) 8 (E) 9
Answer: D
Two bullet train s 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is: Answer Choice: (A) 15.8 sec. (B) 12.8 sec. (C) 11.16 sec. (D) 10.8 sec. (E) 08.8 sec.
Answer: C
The equation f= 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at f = -5, the equation for l is Answer Choice: (A) + y + 15 = 0 (B) - 3x - 11 = 0 (C) + y - 16.5 = 0 (D) - y - 7 = 0 (E) + y + 13.5 = 0
Answer: C
The captain of a cricket team of 11 members is 28 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? Answer Choice: (A) 20 years (B) 21 years (C) 22 years (D) 23 years (E) 25 years
Answer: E
If the price of 357 apples is Rs.1517.25, what will be the approximate price of 49 dozens of such apples Answer Choice: (A) Rs. 2500 (B) Rs. 2300 (C) Rs. 2200 (D) Rs. 1400 (E) None of these
Answer: A
The product S of the first 10 prime numbers is closest to which of the following? Answer Choice: (A) 6.5 x 10^7 (B) 6.5 x 10^8 (C) 6.5 x 10^9 (D) 6.5 x 10^10 (E) 6.5 x 10^11
Answer: C
A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 24 gallons of gasoline? Answer Choice: (A) 190 (B) 284.6 (C) 300 (D) 292 (E) 312
Answer: D
There are two positive numbers in the ratio 4:8. If the larger number exceeds the smaller by 16, then find the smaller number? Answer Choice: (A) 25 (B) 20 (C) 77 (D) 88 (E) 44
Answer: B
The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Answer Choice: (A) 22.51 (B) 22.0 (C) 22.15 (D) 22.17 (E) 22.63
Answer: B
A woman sold 300 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7 for 85 cents. How many were sold at the first rate? Answer Choice: (A) 45 (B) 21 (C) 9 (D) 15 (E) 13
Answer: E
How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter? Answer Choice: (A) 120 (B) 150 (C) 160 (D) 180 (E) 200
Answer: C
A bag contains 3 red, 3 green and 4 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball? Answer Choice: (A) 5/8 (B) 7/12 (C) 11/16 (D) 17/24 (E) 37/48
Answer: D