loafeihong/math_mmlu_format huggingface dataset:
Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 1/3 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N? Answer Choice: (A) 1/2 (B) 1/3 (C) 4/13 (D) 8/29 (E) 6/33
Answer: A
What is the area of a square field whose diagonal of length 40 m? Answer Choice: (A) 287 (B) 269 (C) 750 (D) 200 (E) 800
Answer: E
A circular mat with radius 10 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 5/12 (B) 2/5 (C) 0.5451 (D) 3/4 (E) 5/6
Answer: C
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days? Answer Choice: (A) 3.75 days (B) 3.78 days (C) 3.25 days (D) 3.15 days (E) 2.75 days
Answer: A
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 128 of the workers of that company are men, how many of the workers are women? Answer Choice: (A) 80 (B) 95 (C) 105 (D) 112 (E) 210
Answer: D
Excluding stoppages, the speed of a bus is 82 kmph and including stoppages, it is 75 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 5.12 (B) 4.13 (C) 6.15 (D) 7.5 (E) None of these
Answer: A
A man can row his boat with the stream at 26 km/h and against the stream in 12 km/h. The man's rate is? Answer Choice: (A) 1 kmph (B) 4 kmph (C) 5 kmph (D) 7 kmph (E) 8 kmph
Answer: D
A car takes 6 hours to cover a distance of 504 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: D
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire? Answer Choice: (A) 116 cm (B) 144 cm (C) 168 cm (D) 173 cm (E) 189 cm
Answer: B
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 40 km in 10 hours. How much time he would have saved if the direction of tide has not changed? Answer Choice: (A) 2 (B) 8 (C) 1 (D) 6 (E) 5
Answer: A
Given positive even integer y, which of the following CAN be evenly divisible by y? Answer Choice: (A) y + 1 (B) 2y - 2 (C) 2y + 1 (D) 3y - 1 (E) y + 1⁄2
Answer: B
Given that there are 6 basketball players per team, how many ways can you select 2 basketball players from 3 teams if no more than one player can be selected from each team? Answer Choice: (A)  15 (B)  30 (C)  60 (D)  108 (E)  90
Answer: D
A and B together can do a piece of work in 6 days and A alone can do it in 14 days. In how many days can B alone can do it? Answer Choice: (A) 12 days (B) 15 days (C) 21/2 days (D) 21 days (E) 22 days
Answer: C
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 0, what is the value of x? Answer Choice: (A) -4 and 0 (B) -2 (C) 2 (D) 4 (E) Cannot be determined.
Answer: A
Working individually, Amy can hang picture frames for 5 hours and John can hang picture frames in 4 hours. If Amy and John work together but independently at the task for 1 hour, at which point John leaves, how many remaining hours will it take Amy to complete the task alone? Answer Choice: (A) 11/20 (B) 55/20 (C) 5/2 (D) 30/10 (E) 3/22
Answer: B
In a games hour 4 different types of players came to the ground? cricket 16, hokey 12, football 18, softball 13. How many players are present in the ground? Answer Choice: (A) 70 (B) 52 (C) 62 (D) 59 (E) 50
Answer: D
If P is a prime number greater than 3, find the remainder when P^2 + 16 is divided by 12. Answer Choice: (A) 5 (B) 1 (C) 0 (D) 8 (E) 7
Answer: A
A meal cost $ 32.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: Answer Choice: (A) 40-42 (B) 39-41 (C) 38-40 (D) 37-39 (E) 36-37
Answer: E
x and y are integers. a+ b< 11 , and a> 6. What is the smallest possible value of a- b? Answer Choice: (A) 1 (B) 2 (C) 4 (D) -2 (E) -4
Answer: C
Today Joelle opened an interest-bearing savings account and deposited $5,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account? Answer Choice: (A) $6512.50 (B) $7512.50 (C) $5512.50 (D) $4512.50 (E) $5250.00
Answer: C
One train is traveling 36 kmph and other is at 15 meters a second. Ratio of the speed of the two trains is? Answer Choice: (A) 5:4 (B) 5:6 (C) 5:0 (D) 2:3 (E) 5:1
Answer: D
How many pairs (r, r+1) have one or more prime factors common, where r is an integer and 2 ≤ r ≤9 ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 60 chose brand C. Which of the following could be the number of customers who preferred brand D? Answer Choice: (A)  1 (B)  8 (C)  18 (D)  20 (E)  27
Answer: C
The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined? Answer Choice: (A) 13√6 (B) 13√2 (C) 13√9 (D) 13√1 (E) 13√5
Answer: B
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles? Answer Choice: (A) 2898 sq m (B) 1788 sq m (C) 4312 sq m (D) 7656 sq m (E) 1786 sq m
Answer: C
P is 40% more efficient than Q. P can complete a work in 24 days. If P and Q work together, how many days will it take to complete the same work? Answer Choice: (A) 8 (B) 9 (C) 11 (D) 14 (E) 15
Answer: D
The average of five consecutive odd numbers A, B, C, D and E is 33. What percent of A is D ? Answer Choice: (A) 86.8 (B) 88.6 (C) 89.2 (D) 90.1 (E) 92.2
Answer: B
Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 40 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take? Answer Choice: (A) 40 (B) 50 (C) 70 (D) 80 (E) 90
Answer: C
A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in. Answer Choice: (A) 23 days (B) 25 days (C) 21 days (D) 26 days (E) 29 days
Answer: C
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is: Answer Choice: (A) 32 (B) 50 (C) 40 (D) 20 (E) 10
Answer: C
Present ages of X and Y are in the ratio 5:6 respectively. Ten years hence this ratio will become 6:7 respectively. What is X's present age in years? Answer Choice: (A) 35 (B) 36 (C) 50 (D) 39 (E) 40
Answer: C
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 250 km of the tour is: Answer Choice: (A) 55.55 km/hr (B) 35.55 km/hr (C) 71.11 km/hr (D) 36 km/hr (E) 71 km/hr
Answer: A
A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Answer Choice: (A) 6 (B) 7 (C) 5 (D) 8 (E) 9
Answer: A
The average of six numbers is 3.85. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ? Answer Choice: (A) 4.3 (B) 4.6 (C) 4.2 (D) 4.1 (E) 4.9
Answer: A
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled? Answer Choice: (A) 7/20 (B) 9/20 (C) 11/20 (D) 13/20 (E) 17/20
Answer: A
What will be remainder when (67^67 + 67) is divided by 68 ? Answer Choice: (A) 5 (B) 9 (C) 87 (D) 66 (E) 12
Answer: D
In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated Answer Choice: (A) 24P7 * 2 * 18! (B) 24P7 * 2 * 17! (C) 24P7 * 2 * 16! (D) 24P7 * 2 * 13! (E) 24P7 * 2 * 12!
Answer: A
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 76 Kmph (B) 108 Kmph (C) 72 Kmph (D) 34 Kmph (E) 91 Kmph
Answer: B
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 1 year is Answer Choice: (A) s.9621 (B) s.6921 (C) s.8400 (D) s.6261 (E) s.6361
Answer: C
The equation (M )/42 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale? Answer Choice: (A) P (B) P-7 (C) (P-7)*2 (D) (P-7)62 (E) P-5
Answer: C
If 2^5, 4^3, and 13^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w? Answer Choice: (A) 26 (B) 39 (C) 42 (D) 208 (E) 156
Answer: D
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) 11 (B) 25 (C) 27 (D) 22 (E) 91
Answer: D
If 9/(5 + 3/x) = 1, then x = Answer Choice: (A) 3 (B) 1 (C) 3/4 (D) -1/3 (E) -3
Answer: C
In how many ways can the integer 15 be expressed as a product of two different positive integers? Answer Choice: (A) 10 (B) 8 (C) 5 (D) 4 (E) 2
Answer: E
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 62 with him, what was the average amount with the group before his joining the group? Answer Choice: (A) s.13 (B) s.12 (C) s.15 (D) s.22 (E) s.14
Answer: A
A train , 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel (in meters)? Answer Choice: (A) 440 m (B) 500 m (C) 260 m (D) 430 m (E) 450 m
Answer: B
The diagonals of two squares are in the ratio of 3:7 then find the ratio of its areas? Answer Choice: (A) 7:37 (B) 6:46 (C) 9:49 (D) 8:68 (E) 6:61
Answer: C
The volume of a cube is 2197 cc. Find its surface. Answer Choice: (A) 864 (B) 1014 (C) 1299 (D) 1268 (E) 1191
Answer: B
2, 4, 3, 6, ?, ?, 9, 18, ?, ?, 33. Answer Choice: (A) 16,31 (B) 16,32 (C) 15,30 (D) 15,32 (E) 15,31
Answer: B
An error 4% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: Answer Choice: (A) 4.16 (B) 5.16 (C) 7.16 (D) 8.16 (E) 9.16
Answer: D
If k^3 is divisible by 1620, what is the least possible value of integer k? Answer Choice: (A) 12 (B) 30 (C) 60 (D) 90 (E) 120
Answer: D
What is the sum of the greatest common factor and the lowest common multiple of 48 and 72? Answer Choice: (A) 192 (B) 120 (C) 168 (D) 160 (E) 184
Answer: C
40 % of 2 is equal to Answer Choice: (A) 0.2 (B) 0.8 (C) 0.6 (D) 0.7 (E) 0.9
Answer: B
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x Answer Choice: (A) 67900 (B) 73205 (C) 73789 (D) 87654 (E) 98555
Answer: B
0.8 x 0.35=? Answer Choice: (A) 3.15e-05 (B) 0.000315 (C) 0.28 (D) 0.028 (E) 0.0028
Answer: C
In a class, there are 24 boys whose ages is decreased by 4 months, when one boy aged 20 years is replaced by a new boy. Find the age of the new boy. Answer Choice: (A) 9 YEARS (B) 10 YEARS (C) 12 YEARS (D) 14 YEARS (E) 15 YEARS
Answer: C
Acording to a military code, SYSTEM is SYSMET and NEARER is AENRER. What is the code for FRACTION ? Answer Choice: (A) CARFTINO (B) CARFTION (C) ARFCNOIT (D) CARFNOIT (E) SUIIQQWE
Answer: D
The price of pulses has fallen by 30%. How many quintals can be bought for the same amount which was sufficient to buy 12 quintals at the higher price? Answer Choice: (A) 20 (B) 22.5 (C) 17 (D) 30 (E) 32.5
Answer: C
A dog takes 3 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Answer Choice: (A) 9:7 (B) 9:9 (C) 9:6 (D) 9:1 (E) 9:2
Answer: A
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a? Answer Choice: (A) 5529 (B) 5500 (C) 5520 (D) 5521 (E) 5192
Answer: B
A juice manufacturer organized taste-testing sessions featuring four brands of orange juice, A, B, C and D. All customers who participated told the organizer which variety they thought was the most similar to freshly-squeezed orange juice. 61% preferred brand A and exactly half as many preferred brand B. Only 45 chose brand C. Which of the following could be the number of customers who preferred brand D? Answer Choice: (A)  1 (B)  8 (C)  14 (D)  20 (E)  27
Answer: C
If John has earned 350 dollars by working 2 hrs/day a week at a constant daily rate for 5 weeks, which of the following represents his daily wage? Answer Choice: (A) 1 (B) 2 (C) 5 (D) 4 (E) 3
Answer: C
In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 545. What is the sum of the last 5 integers in the sequence? Answer Choice: (A)  585 (B)  580 (C)  575 (D)  570 (E)  565
Answer: D
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 3) lies inside the circle and the point (6,-3) lies outside the circle. If the radius r of the circle r is an integer then r= Answer Choice: (A) 6 (B) 5 (C) 4 (D) 7 (E) 2
Answer: D
If the sides of a triangle are 4 cm, 9 cm and 13 cm, what is its area? Answer Choice: (A) 18 (B) 20 (C) 22 (D) 26 (E) 28
Answer: A
A cube has five of its faces painted half red and half white. The other face is completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube? Answer Choice: (A) 6:11 (B) 2:5 (C) 3:4 (D) 5:7 (E) 2:3
Answer: D
The smallest value of n, for which n+2 is not a prime number, is Answer Choice: (A) 1,2 (B) 4,6 (C) 2,4 (D) 8,12 (E) 9,6
Answer: C
The average age of 40 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age? Answer Choice: (A) 59 (B) 55 (C) 61 (D) 51 (E) 36
Answer: D
Sequence Q consists of 16 consecutive integers. If -6 is the least integer in sequence Q, what is the range of the positive integers in sequence Q? Answer Choice: (A)  16 (B)  15 (C)  9 (D)  8 (E)  7
Answer: D
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.? Answer Choice: (A) 8 (B) 12 (C) 11 (D) 16 (E) 18
Answer: B
How many digits 2^400 has? Answer Choice: (A) 31 (B) 35 (C) 50 (D) 99 (E) 121
Answer: E
The reciprocal of the hcf and lcm of two are 1/14 and 1/312 .if one of the number is 24 then other no. is Answer Choice: (A) 126 (B) 136 (C) 146 (D) 156 (E) 182
Answer: E
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers? Answer Choice: (A) 1 : 5 (B) 2 : 6 (C) 2 : 1 (D) 3 : 7 (E) 4 : 9
Answer: C
A does a work in 10 days and B does the same work in 15 days. In how many days they together will
do the same work ? Answer Choice: (A) 5 days (B) 6 days (C) 7 days (D) 8 days (E) None of these
Answer: B
If xy not equal 0 and x^2*y^2 -xy =30, which of the following could be y in terms of x?
I. 1/2x
II. -6/x
III. 5/x Answer Choice: (A) I &II (B) II (C) II and III (D) IV (E) III
Answer: C
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.22932/- in 3 years at the same rate of interest. Find the rate percentage? Answer Choice: (A) 5% (B) 7% (C) 9% (D) 11% (E) 30%
Answer: E
A goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds.What is the length of the goods train? Answer Choice: (A) 230 m (B) 240 m (C) 260 m (D) 270 m (E) 250 m
Answer: A
How many numbers are there between 100 and 1000 such that at least one of their digits is 6? Answer Choice: (A) 648 (B) 252 (C) 900 (D) 1000 (E) None of these
Answer: B
Nancy obtained 66, 75, 52, 68 and 89 marks (out of 100) in American Literature, History, Home Economics, Physical Education and Art. Calculate her average marks ? Answer Choice: (A) 50 (B) 80 (C) 70 (D) 60 (E) 71
Answer: C
The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in: Answer Choice: (A) 5.5 min. (B) 6 min. (C) 4.9 min. (D) 5.28 min. (E) 5 min.
Answer: D
Rs.100 amounts to Rs.320 in 4 years at simple interest. If the interest is increased by 3%, it would amount to how much? Answer Choice: (A) 246 (B) 650 (C) 110 (D) 240 (E) 360
Answer: C
A circular ground whose diameter is 40 metres, has a garden of area 1100m^2around it. What is the wide of the path of the garden ? Answer Choice: (A) 8.07 (B) 7.07 (C) 6.07 (D) 7.0 (E) 8.5
Answer: B
what is rate of interest if principal.amount be 400,simple interest 140 and time 2year. Answer Choice: (A) 10 (B) 17.5 (C) 25 (D) 12 (E) 14.5
Answer: B
A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? Answer Choice: (A) $100 (B) $220 (C) $280 (D) $300 (E) $360
Answer: A
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
Two trains, each 120 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) 72 km/hr (B) 17 km/hr (C) 60 km/hr (D) 77 km/hr (E) 46 km/hr
Answer: A
Three unbiased coins are tossed, what is the probability of geƫng at least 2 tails ? Answer Choice: (A) 1/3 (B) 1/6 (C) 1/2 (D) 1/8 (E) None of these
Answer: C
In a neighborhood having 90 households, 11 did not have either a car or a bike. If 20 households had a both a car and a bike and 44 had a car, how many had bike only? Answer Choice: (A) 30 (B) 35 (C) 20 (D) 18 (E) 10
Answer: B
Find the sum of the local value and absolute value of 4 in 564823 Answer Choice: (A) 4004 (B) 8000 (C) 16000 (D) 12000 (E) 18000
Answer: A
A team scored a total of 140 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Answer Choice: (A) A)6 (B) B)7 (C) C)8 (D) D)9 (E) E)10
Answer: E
The length of the bridge, which a train 180 meters long and travelling at 48 km/hr can cross in 70 seconds, is: Answer Choice: (A) 245 (B) 276 (C) 987 (D) 168 (E) 1981
Answer: A
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following Q is a possible value for x + y?
I. 18
II. 19
III. 20 Answer Choice: (A) I only (B) II only (C) Q=III only (D) II and III only (E) None
Answer: C
Two heavily loaded sixteen-wheeler transport trucks are 1025 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway? Answer Choice: (A) 90 (B) 130 (C) 150 (D) 320 (E) 145
Answer: E
If x < 0 and 0 < y < 1, which of the following has the greatest value L? Answer Choice: (A) x^2 (B) (xy)^2 (C) (x/y)^2 (D) x^2/y (E) x^2*y
Answer: C
The current birth rate per thousand is 52, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by? Answer Choice: (A) 4.1% (B) 3.2% (C) 3.9% (D) 4% (E) 5.1%
Answer: A
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 9 inches on a side and costs $10, and a large pizza that measures 14 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? Answer Choice: (A) 5 square inches (B) 10 square inches (C) 15 square inches (D) 25 square inches (E) 34 square inches
Answer: E
There are 6 girls and 6 boys. If they are to be seated in a row, what is the probability that no two boys sit together? Answer Choice: (A) A)2*6!6!/12! (B) B)6!5!/12! (C) C)6!6!/12! (D) D)6!/12! (E) E)6!7!/12!
Answer: A
A fill pipe can fill 1/4 of cistern in 16 minutes. In how many minutes, it can fill 3/4 of the cistern? Answer Choice: (A) 24min (B) 30min (C) 48min (D) 26min (E) 16min
Answer: C
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm? Answer Choice: (A) 188 cm2 (B) 150 cm2 (C) 168 cm2 (D) 198 cm2 (E) 987 cm2
Answer: B
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit? Answer Choice: (A) 66.3 (B) 76.3 (C) 86.3 (D) 16.3 (E) 36.3
Answer: D
Calculate the HCF of 16, 108, 220 Answer Choice: (A) 3 (B) 5 (C) 4 (D) 1 (E) 2
Answer: C
Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 72% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere? Answer Choice: (A) 7 (B) 11 (C) 13 (D) 14 (E) 38
Answer: D
Sum of the digits number is 8 and their product is 12. Find the difference between the digits? Answer Choice: (A) 4 (B) 5 (C) 3 (D) 7 (E) 2
Answer: A
If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 25? Answer Choice: (A) 101 (B) 187 (C) 191 (D) 201 (E) 311
Answer: E
The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 328 (B) 279 (C) 255 (D) 288 (E) 211
Answer: C
If Aaron is now twice as old as Bailey was 5 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 4 years from now? Answer Choice: (A) 3B (B) 3B-1 (C) 3B-21 (D) 3B-11 (E) 3B-2
Answer: E
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively. Answer Choice: (A) 1394 (B) 1294 (C) 1194 (D) 1094 (E) None of them
Answer: A
present ages of sameer and anand are in the ratio of 5:4 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what anand's present age in years Answer Choice: (A) 27 (B) 24 (C) 40 (D) 32 (E) 35
Answer: B
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 4 to 1, what is the ratio of US to British stamps? Answer Choice: (A) 5 : 1 (B) 10 : 5 (C) 15 : 2 (D) 20 : 2 (E) 25 : 2
Answer: D
A wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face? Answer Choice: (A) 54.9% (B) 58.7% (C) 62.5% (D) 66.3% (E) 70.4%
Answer: E