loafeihong/math_mmlu_format huggingface dataset:
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test? Answer Choice: (A) 277 (B) 266 (C) 111 (D) 121 (E) 224
Answer: E
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 14 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 11 (B) 444 (C) 420 (D) 287 (E) 221
Answer: C
How many of the positive factors of 56 , 96 and how many common factors are there in numbers? Answer Choice: (A) 2 (B) 4 (C) 3 (D) 5 (E) 1
Answer: C
Two airplanes take off from one airfield at noon. One flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.? Answer Choice: (A) 166 (B) 408 (C) 400 (D) 483 (E) 566
Answer: B
What is the smallest five digit number that is divisible by 15, 36, 40, and 54? Answer Choice: (A) 10400 (B) 10800 (C) 11200 (D) 11600 (E) 12000
Answer: B
Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many E miles will Tom drive before Karen wins the bet? Answer Choice: (A) 15 (B) 18 (C) 21 (D) 24 (E) 27
Answer: D
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is a + 2? Answer Choice: (A) a - 5 (B) a (C) a - 1 (D) a - 3 (E) a + 1
Answer: D
The ratio of radius of a circle and the side of a square is 2 : 3. Find the ratio of their areas: Answer Choice: (A) 2 : 1 (B) 4 : 9 (C) 8 : 77 (D) 4 : 121 (E) None
Answer: B
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.7, what is the probability that Malachi will return home at the end of the day on the following Monday? Answer Choice: (A) 0.063 (B) 0.128 (C) 0.488 (D) 0.512 (E) 0.64
Answer: A
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two? Answer Choice: (A) 120 (B) 116 (C) 108 (D) 107 (E) 72
Answer: D
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 287 (B) 288 (C) 500 (D) 277 (E) 121
Answer: C
For a sequence to be considered an arithmetic sequence, there must be a constant difference between the terms. If a,b,c,d,e is an arithmetic sequence, which of the following is also an arithmetic sequence?
I. 7a,7b,7c,7d,7e
II. a-5, b-5, c-5, d-5, e-5
III. a^3, b^3, c^3, d^3, e^3 Answer Choice: (A) III only (B) I and II (C) II and III (D) II only (E) I and III
Answer: B
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then Answer Choice: (A) XB < AX (B) XB < YD (C) AX > XB (D) AX < AB (E) AX > AB
Answer: D
If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed? Answer Choice: (A) 20 (B) 40 (C) 15 (D) 16 (E) 12
Answer: A
A train takes 18 seconds to pass completely through a statin 162 m long and 15 seconds through another station 120 m long. The length of the train is: Answer Choice: (A) 30 (B) 60 (C) 90 (D) 100 (E) 120
Answer: C
20 machines can do a work in 5days. How many machines are needed to complete the work in 10days? Answer Choice: (A) 10 (B) 15 (C) 8 (D) 12 (E) 20
Answer: A
If x^2 - 1 = 0 and x > 0, which of the following must be equal to 0 ? Answer Choice: (A)  x^2 - 9x (B)  x^2 - 9x + 8 (C)  x^2 - 2x + 3 (D)  x^2 + 2x - 3 (E)  x^2 + 5x + 6
Answer: B
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³) Answer Choice: (A) 6 (B) 8 (C) 10 (D) 20 (E) 40
Answer: B
A travel agent offers a vacation plan which costs x dollars for the first day, and x/3 for each additional day. How much does a vacation of y days cost, where y > 1. Answer Choice: (A) (yx-3x)/3 (B) (yx+4x)/2 (C) (yx+5x) (D) (yx+2x)/3 (E) (yx-x)/3
Answer: D
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child? Answer Choice: (A) 5 (B) 6 (C) 8 (D) 4 (E) 1
Answer: D
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00? Answer Choice: (A)  72 (B)  60 (C)  90 (D)  120 (E)  240
Answer: A
The price of an article is cut by 10%. To restore it to the former value, the new price must be increased by Answer Choice: (A) 10% (B) 9 1/11 % (C) 11 1/9% (D) 11% (E) None
Answer: C
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time V it could take for 10 cars to be complete? Answer Choice: (A) 111 1/9 minutes (B) 115 2/5 minutes (C) 116 minutes (D) 120 minutes (E) 125 minutes
Answer: D
What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 69.12 = ? Answer Choice: (A) 229 (B) 225 (C) 235 (D) 220 (E) 240
Answer: A
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 16%? Answer Choice: (A) 26% (B) 28% (C) 27% (D) 40% (E) 70%
Answer: A
A vendor sells 20 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 20 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away? Answer Choice: (A) 56 (B) 60 (C) 64 (D) 68 (E) 72
Answer: E
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Answer Choice: (A) 6 (B) 5 (C) 7 (D) 8 (E) 2
Answer: D
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 7:3. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed? Answer Choice: (A) 45/21 (B) 46/2 (C) 13/30 (D) 23/6 (E) 4/6
Answer: C
The perimeter of a semi circle is 113 cm then the radius is? Answer Choice: (A) 17 (B) 28 (C) 19 (D) 11 (E) 22
Answer: E
A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders W when the order of the divisors is reversed. Answer Choice: (A) 8,5,3 (B) 4,2,1 (C) W=3,2,1 (D) W=6,4,2 (E) None of above
Answer: D
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself? Answer Choice: (A) 7 years (B) 5 years (C) 4 years (D) 6 years (E) 3 years
Answer: D
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:12. If P invested the money for 5 months, find for how much time did Q invest the money? Answer Choice: (A) 19 (B) 17 (C) 13 (D) 10 (E) 12
Answer: E
Jane started baby-sitting when she was 20 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 4 cm and breadth 2 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) 4.51 (B) 4.71 (C) 4.32 (D) 4.21 (E) 4.68
Answer: B
A group of 6 volunteers is to be interviewed and selected from a pool of 9 candidates. How many different volunteer groups are possible? Answer Choice: (A) 102 (B) 52 (C) 84 (D) 56 (E) 336
Answer: C
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number? Answer Choice: (A) 37 (B) 85 (C) 48 (D) 43 (E) 84
Answer: C
Six children — A, B, C, D, E, F — are going to sit in seven chairs in a row. The children CF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children? Answer Choice: (A) 600 (B) 240 (C) 1440 (D) 4320 (E) 4800
Answer: B
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 14 charts have been brought to the meeting, how many people are present? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: C
Find the cost price of an item if by selling at Rs.1255, a profit of 10% is made? Answer Choice: (A) Rs. 1000 (B) Rs.3000 (C) Rs.2100 (D) Rs.1129 (E) Rs.1985
Answer: D
The avg. age of a group of 24 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is? Answer Choice: (A) 22 years (B) 23 years (C) 24 years (D) 25 years (E) 27 years
Answer: E
A fair price shopkeeper takes 10% profit on his goods. He lost 40% goods during theft. His loss percent is: Answer Choice: (A) 72% (B) 42% (C) 34% (D) 12% (E) 22%
Answer: C
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose? Answer Choice: (A) 90 (B) 100 (C) 120 (D) 160 (E) 200
Answer: C
The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by ? Answer Choice: (A) 33 1/3% (B) 37 1/2% (C) 40% (D) 45% (E) NONE
Answer: B
If Feb 12th,1986 falls on Wednesday then Jan 1st,1987 falls on which day? Answer Choice: (A) monday (B) friday (C) Thursday (D) saturday (E) 0
Answer: C
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3400, A will get: Answer Choice: (A) Rs.1200 (B) Rs.1500 (C) Rs. 2040 (D) Rs.2000 (E) None of these
Answer: C
6 people can do work in 80 days how much people they required to complete the work in 16
days ? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: C
A clock shows 5.20. After how much time both hands will coincide together? Answer Choice: (A) 6 2/11 minutes (B) 5 5/11 minutes (C) 3 2/11 minutes (D) 4 2/11 minutes (E) 7 2/11 minutes
Answer: B
In an examination 35% of the students passed and 351 failed. How many students appeared for the examination? Answer Choice: (A) A)540 (B) B)400 (C) C)700 (D) D)650 (E) E)840
Answer: A
A boy rides his bicycle 10km at an average speed of 12km/hr and again travels 12km at an average speed of 10km/hr. His average speed for the entire trip is approximately? Answer Choice: (A) 8km/hr (B) 10.8km/hr (C) 12.6km/hr (D) 15.6km/hr (E) 14km/hr
Answer: B
A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ? Answer Choice: (A) 4991 (B) 5467 (C) 5987 (D) 6453 (E) None of these
Answer: A
Two persons enter the lift of a five 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) 7 (B) 10 (C) 12 (D) 14 (E) 16
Answer: E
Rose and John had the same number of candies. Rose gave John 24 candies so that now John has five times as many candies as Tina has. John has now how many candies? Answer Choice: (A) 36 (B) 48 (C) 54 (D) 60 (E) 65
Answer: D
X completes a work in 70 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be? Answer Choice: (A) 20 days. (B) 22 days. (C) 25 days. (D) 36 days. (E) 21 days.
Answer: E
What is the length of the longest pole which can be kept in a room 6 m long, 4 m broad and 3 m high? Answer Choice: (A) 7 (B) 9 (C) 11 (D) 13 (E) None
Answer: E
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? Answer Choice: (A) 32 (B) 40 (C) 48 (D) 54 (E) 60
Answer: A
How many integers n are there such that 1< 4n + 4 < 16? Answer Choice: (A) 5 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
Fom the integer n, if n*n*n is odd, then what is true from below options? Answer Choice: (A) n is odd and n*n is even (B) n is odd (C) n*n is even (D) n is even (E) n*n is odd
Answer: A
A can have a piece of work done in 7 days, B can work five times faster than the A, C can work six times faster than A. How many days will they take to do the work together ? Answer Choice: (A) 3/2 days (B) 8/9 days (C) 4/3 days (D) can't say (E) none
Answer: A
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? Answer Choice: (A) Rs.229 (B) Rs.285 (C) Rs.228 (D) Rs.217 (E) Rs.123
Answer: D
Mandrake has to choose from 4 from 14 people. There are 3 girls, 5 boys , 6 children. What is total probability that he will choose 1G , 2B , 1C? Answer Choice: (A) 1/7 (B) 2/7 (C) 3/7 (D) 4/7 (E) 16/89
Answer: E
How many numbers between 1000 and 5000 are exactly divisible by 225? Answer Choice: (A) 16 (B) 18 (C) 19 (D) 12 (E) 21
Answer: B
Doughnuts, Cookies and Muffins in a pastry shop are in the ratio of 5: 3 : 1. If there are 50 Doughnuts, the number of Muffins in the shop is:. Answer Choice: (A) 25 (B) 30 (C) 10 (D) 15 (E) 20
Answer: C
Exactly 36% of the numbers in set R are even multiples of 3. If 40% of the even integers in set R are not multiples of 3, what percent of the numbers in set R are not even integers? Answer Choice: (A)  76% (B)  60% (C)  50% (D)  40% (E)  24%
Answer: D
A man walking at a rate of 15km/hr crosses a bridge in 40 minutes. The length of the bridge is? Answer Choice: (A) 1250m (B) 1110m (C) 2000m (D) 1000m (E) 1300m
Answer: C
A box contains 3 yellow balls and 7 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black? Answer Choice: (A) 3/5 (B) 7/10 (C) 5/8 (D) 2/3 (E) 3/7
Answer: B
A circle graph shows how the budget of a certain company was spent: 15 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries? Answer Choice: (A) 216° (B) 222° (C) 228° (D) 234° (E) 240°
Answer: D
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: Answer Choice: (A) 1:2 (B) 4:5 (C) 1:3 (D) 1:1 (E) 1:4
Answer: B
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height. What is the diameter of each sphere? Answer Choice: (A) 4 cm (B) 6 cm (C) 8 cm (D) 10 cm (E) 12 cm
Answer: C
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join? Answer Choice: (A) 3 (B) 4 (C) 6 (D) 9 (E) 5
Answer: E
Two members of a certain club are selected to speak at the next club meeting. If there are 15 different possible selections of the 2 club members, how many members does the club have? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 2000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995? Answer Choice: (A) 100000 (B) 12500 (C) 42000 (D) Data inadequate (E) None of these
Answer: C
If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be 10?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit Answer Choice: (A) 8/2652 (B) 18/2652 (C) 1/2652 (D) 12/2652 (E) 16/2652
Answer: B
Ayesha's father was 35 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 2 years (B) 4 years (C) 6 years (D) 8 years (E) 9 years
Answer: E
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6700 ? Answer Choice: (A) 4966 (B) 6191 (C) 2877 (D) 2676 (E) 1881
Answer: B
In one can of mixed nuts, 10% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts? Answer Choice: (A) 16 2/3% (B) 20% (C) 25% (D) 33 1/3% (E) 35%
Answer: D
There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory.
Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rupees did Auggie have when he entered the first store? Answer Choice: (A) 248 (B) 120 (C) 252 (D) 250 (E) 350
Answer: A
What is the sum of the odd integers from 25 to 55, inclusive? Answer Choice: (A) 495 (B) 550 (C) 555 (D) 600 (E) 640
Answer: E
A farmer is having a total of 20 fruits (apples or oranges). He made two type packets with these fruits. All the fruits are in either apple packets of orange packets. Apple Packets contain 3 apples each and Orange packets contain 2 oranges each.
If |apple packets| < 4
Then How many packets of apples the farmer can have. When number of apple and orange packets are both positive integers above zero. Answer Choice: (A) 2 (B) 3 (C) 4 (D) 7 (E) 6
Answer: A
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60? Answer Choice: (A) 20 (B) 10 (C) 60 (D) 50 (E) 40
Answer: A
The average (arithmetic mean)R of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer. Answer Choice: (A) I only (B) II only (C) III only (D) II and III only (E) None of the above
Answer: E
A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer? Answer Choice: (A)  6 (B)  4 (C)  3 (D)  2 (E)  1
Answer: A
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 1/5 Km (B) 4 Km (C) 4 1/5 Km (D) 3 2/5 Km (E) 3 3/5 Km
Answer: A
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red? Answer Choice: (A) 64 (B) 72 (C) 86 (D) 98 (E) 102
Answer: E
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet? Answer Choice: (A) 10.36 (B) 10.39 (C) 10.3 (D) 10.34 (E) 10.31
Answer: C
An entry in an unshaded square is obtained by adding the entries connected to it from the row above (11 is one such number). Write the value of n ? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 9 (E) 8
Answer: A
The population of a town is 10000. It increases annually at the rate of 40% p.a. What will be its population after 2 years? Answer Choice: (A) 14000 (B) 14400 (C) 19600 (D) 14600 (E) 14700
Answer: C
Length of a rectangular plot is 20mtr more than its breadth. If the cost of fencing theplot at 26.50 per meter is Rs.5300, what is the length of the plot in mtr? Answer Choice: (A) 40 m (B) 60 m (C) 70 m (D) 77 m (E) 80 m
Answer: B
How much interest will $10,000 earn in 9 months at an annual rate of 4%? Answer Choice: (A) $300 (B) $350 (C) $450 (D) $550 (E) $650
Answer: A
What is the remainder when 8^714 is divided by 5 ? Answer Choice: (A) 2 (B) 3 (C) 1 (D) 0 (E) 4
Answer: E
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 40 inches. Find b. Answer Choice: (A) 8 (B) 6 (C) 24 (D) 32 (E) 48
Answer: B
The edge of a cube is 5a cm. Find its surface? Answer Choice: (A) 150a2 cm2 (B) 170a2 cm2 (C) 125a2 cm2 (D) 175a2 cm2 (E) 120a2 cm2
Answer: A
Of the 65 cars on a car lot, 45 have power steering, 25 have power windows, and 17 have both power steering and power windows. How many of the cars on the lot have neither power steering nor power windows? Answer Choice: (A)  2 (B)  8 (C)  12 (D)  15 (E)  18
Answer: C
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I.	x > y>z
II.	x > y
III. x = z Answer Choice: (A) I and II (B) I only (C) II only (D) III only (E) None
Answer: C
To create paint with a certain shade of gray, one must combine 2.116 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray? Answer Choice: (A) 165.4 (B) 176.4 (C) 347.1 (D) 694.4 (E) 705.6
Answer: A
Statements: The old order changed yielding place to new.
Assumption:
1) Change is the law of nature.
2) Discard old ideas because they are old. Answer Choice: (A) Only conclusion I follows (B) Only conclusion II follows (C) Either I or II follows (D) Neither I nor II follows (E) Both I and II follow
Answer: A
A man is 24 years older than his son.In two years, his age will be twice the age of his son.The present age of the son is : Answer Choice: (A) 22 (B) 25 (C) 45 (D) 32 (E) 15
Answer: A
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common? Answer Choice: (A) 10 and 20 (B) 12 and 18 (C) 30 and 16 (D) 21 and 63 (E) 22 and 44
Answer: C