loafeihong/math_mmlu_format huggingface dataset:
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 800 grams. Find the profit percent. Answer Choice: (A) 100/17% (B) 100/23% (C) 100/19% (D) 100/4% (E) None of these
Answer: D
An advertising agency finds that, of its 150 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three? Answer Choice: (A) 56 (B) 70 (C) 50 (D) 98 (E) 95
Answer: C
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product? Answer Choice: (A) 196 (B) 400 (C) 441 (D) 484 (E) 900
Answer: C
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability W that the integer drawn is divisible by 8?
* A solution will be posted in two days. Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: D
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 16 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates? Answer Choice: (A) A)11 (B) B)18 (C) C)24 (D) D)27 (E) D)36
Answer: D
If y = 20! + 17, then y is divisible by which of the following?
I. 15
II. 17
III. 19 Answer Choice: (A)  None (B)  I only (C)  II only (D)  I and II (E)  II and II
Answer: C
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other? Answer Choice: (A) 40/6 (B) 40/3 (C) 40/9 (D) 40/2 (E) 40/1
Answer: B
The sum of even numbers between 1 and 31 is Answer Choice: (A) 16 (B) 128 (C) 240 (D) 512 (E) None
Answer: C
Every student at Warcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Warcy School? Answer Choice: (A) 63 (B) 69 (C) 74 (D) 82 (E) 86
Answer: E
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 25 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order? Answer Choice: (A)  3 (B)  5 (C)  6 (D)  16 (E)  24
Answer: B
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 157 per Kg , the price of the third variety per Kg will be? Answer Choice: (A) Rs. 147.50 (B) Rs. 785.50 (C) Rs. 179.50 (D) Rs. 258.50 (E) None of these
Answer: C
A shopkeeper has 280 kg of apples. He sells 35% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total. Answer Choice: (A) 24% (B) 25% (C) 26% (D) 28% (E) 35%
Answer: B
Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $7.00 each, what was Company C’s gross profit? Answer Choice: (A)  $2,250 (B)  $2,500 (C)  $1,600 (D)  $1,250 (E)  $1,500
Answer: C
The speed of the boat in still water in 12 kmph. It can travel downstream through 42 kms in 3 hrs. In what time would it cover the same distance upstream? Answer Choice: (A) 8 hours (B) 6 hours (C) 4.2 hours (D) 5 hours (E) 6 hours
Answer: C
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is? Answer Choice: (A) 9% decrease (B) 8% decrease in revenue (C) 6% decrease (D) 1% decrease (E) 2% decrease
Answer: B
Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? Answer Choice: (A) 29% (B) 31% (C) 33% (D) 35% (E) 37%
Answer: A
If y = x^2 + d x + 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9 Answer Choice: (A) III only (B) II only (C) I and II only (D) II and III only (E) I and III only
Answer: C
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.16.80 less, he would have gained 30%. Find the cost of the article. Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 80
Answer: E
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for S to be in the position where U is now shown. The number of degrees through which RSTU is rotated is Answer Choice: (A)  180 degree (B)  160 degree (C)  225 degree (D)  270 degree (E)  315 degree
Answer: A
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 9 (E) 12
Answer: A
361, 289, 225, 169, 121, ? Answer Choice: (A) 36 (B) 49 (C) 64 (D) 81 (E) 100
Answer: C
Shri Prakash walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point? Answer Choice: (A) 40 m, North (B) 50 m, West (C) 10 m, East (D) 10 m, West (E) None of these
Answer: B
James was hiking on a 10-mile loop trail at a rate of 2 miles per hour. Two hours into James’ hike, John started hiking from the same starting point on the loop trail at 4 miles per hour. What is the shortest time that John could hike on the trail in order to meet up with James? Answer Choice: (A) 0.5 hours (B) 1 hour (C) 2 hours (D) 3 hours (E) 4 hours
Answer: B
A reduction of 20% in the price of oil enables a house wife to obtain 4kgs more for Rs.684, what is the reduced price for kg? Answer Choice: (A) 72 (B) 27 (C) 34 (D) 28 (E) 20
Answer: C
Five persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor Answer Choice: (A) 720 (B) 1296 (C) 1540 (D) 7776 (E) 360
Answer: D
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=24, what is the maximum value of y for which f(x,y)=0? Answer Choice: (A) 12 (B) 15 (C) 18 (D) 20 (E) 21
Answer: D
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher. Answer Choice: (A) 22 (B) 25 (C) 26 (D) 32 (E) 34
Answer: B
In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 90% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer? Answer Choice: (A) 69. (B) 83. (C) 81 (D) 91 (E) 108
Answer: B
An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between W the highest and the lowest incentive received by the 5 salesmen in the month? Answer Choice: (A) $4000 (B) $5000 (C) $9000 (D) $11,000 (E) $13,000
Answer: D
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 7 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) 23 years (B) 24 years (C) 25 years (D) 26 years (E) 27 years
Answer: C
A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Answer Choice: (A) 10 kmph (B) 6 kmph (C) 5 kmph (D) 8 kmph (E) 7 kmph
Answer: A
Apple,INC recently conducted a survey and found that 50,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of Apple,INC customers live in urban areas ? Answer Choice: (A) 150,000 (B) 216,000 (C) 360,000 (D) 480,000 (E) 540.0
Answer: A
The present age of the father is 4years more than 4 times the age of his son. 4 years hence, father's age will be 20 years more than twice the age of the son. Find the present age of the father? Answer Choice: (A) 25 (B) 56 (C) 45 (D) 36 (E) 44
Answer: E
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8700. If his salary for the month of May is Rs.6500, find his salary for the month of January? Answer Choice: (A) s.3700 (B) s.4570 (C) s.4500 (D) s.4550 (E) s.2500
Answer: A
Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers? Answer Choice: (A) 42 and 68 (B) 43 and 77 (C) 47 and 66 (D) 44 and 56 (E) 44 and 66
Answer: E
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers? Answer Choice: (A) 12, 9 (B) 12,7 (C) 7, 14 (D) 13,12 (E) 12,8
Answer: B
From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is Answer Choice: (A) 40% pure (B) 50% pure (C) 51.2% pure (D) 58.8% pure (E) None
Answer: C
If Y is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of Y? Answer Choice: (A) 162 (B) 54 (C) 72 (D) 51 (E) 50!+2
Answer: A
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered? Answer Choice: (A) 34778 (B) 26888 (C) 2899 (D) 17600 (E) 12778
Answer: D
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? Answer Choice: (A) 12.8 sec (B) 12.9 sec (C) 13.9 sec (D) 16.8 sec (E) 12.3 sec
Answer: D
What is the least number which when divided by 7, 9, 12 and 18 leaves remainder 4 in each care? Answer Choice: (A) 230 (B) 240 (C) 236 (D) 256 (E) 266
Answer: D
How many multiples of 10 are there between 10 and 290 ? Answer Choice: (A) 8 (B) 18 (C) 27 (D) 51 (E) 60
Answer: C
Solve This
5 + 4 + 1 = 145
8 + 2 + 3 = 328
9 + 6 + 5 = 569
4 + 0 + 2 = 204
Then, 7 + 7 + 4 = ??? Answer Choice: (A) 407 (B) 417 (C) 477 (D) 427 (E) 584
Answer: C
The length E of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent? Answer Choice: (A) Decreases by 19% (B) Decreases by 25% (C) Increases by 6% (D) Increases by 19% (E) Increases by 25%
Answer: D
P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days. Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: D
Eight friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $480. If one of the friends had a coupon for 25% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay? Answer Choice: (A) $90 (B) $70 (C) $45 (D) $37 (E) $35
Answer: C
Four person are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is Answer Choice: (A) 1/9 (B) 1/5 (C) 1/12 (D) 10/21 (E) 4/6
Answer: D
Find the mean proportional between 64 & 81? Answer Choice: (A) A)59 (B) B)61 (C) C)63 (D) D)72 (E) E)67
Answer: D
The product of the prime integers between 43 and 50, inclusive, is: Answer Choice: (A) 50! – 40! (B) 99,029 (C) 2,303 (D) 2,021 (E) 2,000
Answer: E
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 2? Answer Choice: (A) A)1 (B) B)2 (C) C)4 (D) D)8 (E) E)16
Answer: B
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points N is in the same quadrant as the fourth vertex of the square? Answer Choice: (A) (-5, -3) (B) (-5, 3) (C) (5, -3) (D) (3, -5) (E) (3, 5)
Answer: E
0.05 x 0.0173 is equal to: Answer Choice: (A) 8.65 x 10(power -4) (B) 6.84 x 10(power -4) (C) 4.68 x 10(power -4) (D) 5.48 x 10(power -4) (E) None of them
Answer: A
A loan of Rs.700 is made at 9.5% simple interest for 4 months. How much interest is owed when the loan is due? Answer Choice: (A) 22.167 (B) 23.167 (C) 24.167 (D) 25.167 (E) 26.167
Answer: A
If a number is 30% more than the another, how much % is the smaller number less than the first ? Answer Choice: (A) 23% (B) 25% (C) 16(1/3)% (D) 17% (E) none of these
Answer: A
A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 10,800, then what is B's share in the profit? Answer Choice: (A) Rs. 2000 (B) Rs. 3000 (C) Rs. 4000 (D) Rs. 5000 (E) None of these
Answer: A
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 12 (B) 77 (C) 66 (D) 88 (E) 94
Answer: A
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 9:30 am. They shall first cross each other at ? Answer Choice: (A) 7:15 am (B) 7:30 am (C) 9: 42 am (D) 7:50 am (E) 7:60 am
Answer: C
a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer? Answer Choice: (A) (ac)/(bd) (B) a/b + c/d (C) (a + c)/(b + d) (D) (abc)/d (E) (acd)/b
Answer: C
In a card game, a combination of three queens beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination? Answer Choice: (A) 1/5425 (B) 1/5550 (C) 1/5600 (D) 1/5555 (E) 1/5525
Answer: E
The probability that a number selected at random from first 50 natural numbers is a composite number is Answer Choice: (A) 21/25 (B) 17/25 (C) 4/25 (D) 8/25 (E) 10/25
Answer: B
If x^4 + y^4 = 20, then the greatest possible value of x is between: Answer Choice: (A) 0 to 2 (B) 2 to 4 (C) 4 to 6 (D) 6 to 8 (E) 8 to 10
Answer: A
Find the value of 1.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)] Answer Choice: (A) 800 (B) 500 (C) 900 (D) 1200 (E) None
Answer: D
Sahil purchased a machine at Rs 11000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it. Answer Choice: (A) Rs. 22500 (B) Rs. 25500 (C) Rs. 26000 (D) Rs. 28000 (E) None of these
Answer: B
A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is : Answer Choice: (A) 16:18 (B) 16:10 (C) 16:15 (D) 16:11 (E) 16:12
Answer: C
A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number? Answer Choice: (A) 9 (B) 15 (C) 18 (D) None of these (E) Cannot be determined
Answer: B
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Answer Choice: (A) 253m (B) 239m (C) 236m (D) 240m (E) 230m
Answer: E
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 25%. What quantity of whisky is replaced ? Answer Choice: (A) 1/3 (B) 2/3 (C) 2/5 (D) 3/5 (E) 4/5
Answer: C
Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train. starts at the same time towards the other train. as soon as it reaches the second one, it flies back to the first train and so on and so forth. It continues to do so, flying backwards and forwards from one train to the other until the trains meet.
Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour.
How many miles will the falcon have flown before the trains meet? Answer Choice: (A) 100 miles (B) 140 miles (C) 107 miles (D) 230 miles (E) 321 miles
Answer: A
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (a) around the mirror, which of the following could be the value, in inches, of a ?
I. 2
II. 3 1/2
III. 5 Answer Choice: (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II, and III
Answer: E
The edges of a cuboid are 2 cm, 5 cm and 8 cm. Find the volume of the cuboid? Answer Choice: (A) 90 (B) 80 (C) 40 (D) 120 (E) 70
Answer: B
There are x numbers in list L, where x is a positive integer, and there are y numbers in list M, where y is a positive integer. The average (arithmetic mean) of the numbers in list L is p, and the average of all the numbers in both lists L and M is q. Which of the following expressions is the average of the numbers in list M? Answer Choice: (A) (qy - px) / x (B) (qy - px) / y (C) (p + q)x / y (D) [(q - p)x - py] / (x + y) (E) [(q - p)x + qy] / y
Answer: E
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = g is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-g, -k), then what are the coordinates of the point P? Answer Choice: (A) (-5g, -5k) (B) (-3g, -3k) (C) (2g, 2k) (D) (3g, 3k) (E) (5g, 5k)
Answer: D
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the longer sides? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 13 (E) 26
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Answer Choice: (A) 81288 (B) 2776 (C) 3777 (D) 8112 (E) 2887
Answer: D
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 6 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters. Answer Choice: (A) 63^4 (B) 62^5 (C) 62(62^4) (D) 63(62^5) (E) 63(62^6)
Answer: D
What will come in place of the x in the following Number series? 12, 38, 116, x, Answer Choice: (A) 2643 (B) 350 (C) 3456 (D) 7554 (E) 3158
Answer: B
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay? Answer Choice: (A) 1/7 (B) 1/9 (C) 1/8 (D) 1/4 (E) 2/1
Answer: A
How many numbers between 300 and 500 begin or end with 3? Answer Choice: (A) 20 (B) 60 (C) 100 (D) 110 (E) 120
Answer: D
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? Answer Choice: (A) 1/455 (B) 1/452 (C) 1/412 (D) 1/129 (E) 1/410
Answer: A
6 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Answer Choice: (A) 5 kmph (B) 6 kmph (C) 6.25 kmph (D) 7.5 kmph (E) 7.8 kmph
Answer: A
How much does a watch lose per day, if its hands coincide every 64 minutes? Answer Choice: (A) 32 8⁄11 min. (B) 36 5⁄11 min. (C) 90 min. (D) 96 min. (E) None of these
Answer: A
The milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons) Answer Choice: (A) 100 (B) 250 (C) 750 (D) 5625 (E) 5635
Answer: D
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be? Answer Choice: (A) 4 days (B) 7 days (C) 8 days (D) 5 days (E) 43 days
Answer: A
The population of 6 villages is 803,900,1100,1023,945 and 980.what is the population of the seventh village if the average population of the seven villages is 1000? Answer Choice: (A) 1134 (B) 1238 (C) 1348 (D) 1500 (E) 1249
Answer: E
a, b, c, d are positive integers such that exactly one of the following inequalities is false. Which inequality is false? Answer Choice: (A)  a<b (B)  c<d (C)  a+c<b+c (D)  a+c<b+d (E)  a<b+c+d
Answer: B
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100? Answer Choice: (A) 4 (B) 12 (C) 15 (D) 22 (E) 24
Answer: D
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business? Answer Choice: (A) Rs.2400 (B) Rs.1800 (C) Rs.3600 (D) Rs.6000 (E) Rs.7000
Answer: A
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {12} + {10}? Answer Choice: (A) 23 (B) 20 (C) 13 (D) 5 (E) 2
Answer: C
The length of a rectangle is twice its breadth. If its lengthis decreased by 5cm & breadth is increased by 5cm, the area of the rectangle is increased by 75sq.cm. What is the length of the rectangle? Answer Choice: (A) 25 cm (B) 30 cm (C) 40 cm (D) 45 cm (E) 60 cm
Answer: C
A batsman scored 120 runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets? Answer Choice: (A) 45 (B) 58.33% (C) 600/11 (D) 55 (E) 35
Answer: B
If |x^2 − 2| = x, which of the following could be the value of x? Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 4
Answer: D
If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24 Answer Choice: (A) I ​only (B) II only (C) I​ and II (D) I, II, and III (E) None
Answer: A
How many liters of water must be evaporated from 50 liters of a 6-percent sugar solution to get a 10-percent solution? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28
Answer: A
log3 N+log12 N what is 3 digit number N that will be whole number Answer Choice: (A) 6291 (B) 7292 (C) 1728 (D) 1929 (E) 1727
Answer: C
Set X consists of all two-digit primes and set Y consists of all positive multiples of 4 less than 100. If the two sets are combined into one, what will be the range of the new set? Answer Choice: (A)  84 (B)  93 (C)  90 (D)  92 (E)  95
Answer: B
A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts? Answer Choice: (A) 210. (B) 200. (C) 190. (D) 180. (E) 170.
Answer: B
A man purchases the milk at Rs. x per liter and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %? Answer Choice: (A) 145% (B) 150% (C) 155.7% (D) 166.6% (E) 176.5%
Answer: D