loafeihong/math_mmlu_format huggingface dataset:
John purchased a grinder and a mobile for Rs. 15000 &Rs. 10000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit. Answer Choice: (A) s. 400 (B) s. 120 (C) s. 420 (D) s. 450 (E) s. 290
Answer: A
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 110 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed? Answer Choice: (A) 50 (B) 100 (C) 150 (D) 200 (E) 220
Answer: E
There are A girls in a class, and their average height is M inches. In the same class, there are Y boys with an average height of N inches. What is the average height of all the students in the class? Answer Choice: (A) (X + Y)/(M + N) (B) (M + N)/(X + Y) (C) (XM + YN)/(M + N) (D) (AM + YN)/(A + Y) (E) MN/XY
Answer: D
Sum of the squares of three numbers is 179 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 22 (C) 26 (D) 28 (E) 29
Answer: B
There are 6 ladies and 5 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together. Answer Choice: (A) 85400 (B) 86400 (C) 36400 (D) 65600 (E) 88600
Answer: B
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer Choice: (A) 3 (B) 9 (C) 3^5 (D) 5^3 (E) 2^4
Answer: C
In a class, there are 15 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? Answer Choice: (A) 10 (B) 12 (C) 18 (D) 24 (E) 26
Answer: A
The average earning of amechanic for the first 4days of a week is Rs.60 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is? Answer Choice: (A) s. 10 (B) s. 44 (C) s. 30 (D) s. 40 (E) s. 50
Answer: B
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? Answer Choice: (A) Rs.525 (B) Rs.500 (C) Rs.550 (D) Rs.555 (E) Rs.545
Answer: B
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Two years from today, the difference between the age of the boy and the combined ages of the girls will be Answer Choice: (A) 1 (B) 2 (C) 3 (D) –2 (E) –1
Answer: E
A man can row 9 kmph in still water. When the river is running at 3.1 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Answer Choice: (A) 2.21 (B) 2.48 (C) 9.24 (D) 7.29 (E) 7.94
Answer: E
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time, how many books of the special collection were loaned out during that month? Answer Choice: (A) 20 (B) 30 (C) 35 (D) 40 (E) 55
Answer: B
Let y = 2m + x^2 and m = 5x + 5. If m^2 =100, then which of the following can be a value of 2y + 3m? Answer Choice: (A) 83 (B) 63 (C) 93 (D) 73 (E) 53
Answer: C
In a simultaneous throw of 2 dice what is the probability of getting a total of 3? Answer Choice: (A) 1/4 (B) 1/18 (C) 2/11 (D) 3/13 (E) 1/5
Answer: B
Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes? Answer Choice: (A) 3 minutes (B) 4 minutes (C) 10 minutes (D) 6 minutes (E) 12 minutes
Answer: C
If y exceeds x by 20%, then x is less than y by? Answer Choice: (A) 16 2/9% (B) 16 3/3% (C) 16 2/3% (D) 12 2/3% (E) 16 1/3%
Answer: C
The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son ? Answer Choice: (A) 19 years (B) 9 years (C) 10 years (D) 15 years (E) 12 years
Answer: B
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type? Answer Choice: (A) 24 metric tonnes (B) 36 metric tonnes (C) 14 metric tonnes (D) 43 metric tonnes (E) 26 metric tonnes
Answer: E
The probability of having a girl is identical to the probability of having a boy. In a family with six children, what is the probability that all the children are of the same gender? Answer Choice: (A) 1/32 (B) 1/9 (C) 1/16 (D) 1/25 (E) 1/2
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. 258 (B) Rs. 270 (C) Rs. 277.5 (D) Rs. 285 (E) None of these
Answer: D
3897 x 999 = ? Answer Choice: (A) 3883203 (B) 3893103 (C) 3639403 (D) 3791203 (E) None of them
Answer: B
A can complete a task in 12 days. B can complete the task in 18 days. If A and B work on this same task in alternate days starting with A, in how many days do they finish the entire task? Answer Choice: (A) 10.8 days (B) 14.33 days (C) 11 days (D) 8.4 days (E) 9.6 days
Answer: B
How many figures are required for numbering the pages of a book containing 1000 pages? Answer Choice: (A) 6489 (B) 3892 (C) 2893 (D) 2883 (E) 2983
Answer: C
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is: Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
Answer: D
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 8, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12 Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III
Answer: C
Tough and Tricky questions: Exponents.
If 5^(x+1)*4^(y-1) = 25^x*64^y, then x + y = Answer Choice: (A) 3/2 (B) -1/2 (C) -1 (D) 1/2 (E) 2/3
Answer: D
A cave is going to explode. A family is trapped inside that cave. The only way to get outside is a narrow tunnel. But the tunnel is weak and thus only two people can go at one time. Also, everybody is afraid of going alone.
The father takes one minute to go through till the end, the mother takes two, the son takes four and the daughter takes five. The cave and tunnel will explode in twelve minutes. Can they make it to the other end in that time frame?
PS: Keep in mind that when two people are moving, the total time taken will be as per the slower one. Answer Choice: (A) 10 minutes (B) 12 minutes (C) 18 minutes (D) 19 minutes (E) 16 minutes
Answer: B
11 + 12 + 13 + ... 51 + 52 + 53 = ? Answer Choice: (A) 1361 (B) 1376 (C) 1363 (D) 1364 (E) 1365
Answer: B
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following Q must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z. Answer Choice: (A) I only (B) II only (C) III only (D) I and III only (E) Q=None of the above
Answer: E
A man can row downstream at 20 kmph and upstream at 12 kmph. Find the speed of the man in still water and the speed of stream respectively? Answer Choice: (A) 13, 3 (B) 12, 6 (C) 16, 4 (D) 14, 4 (E) None of these
Answer: C
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son? Answer Choice: (A) 68.8 (B) 28.7 (C) 28.1 (D) 28.8 (E) 28.2
Answer: D
If a certain number is divided by 2, the quotient, dividend, and divisor, added together, will amount to 62. What is the number? Answer Choice: (A) 18 (B) 28 (C) 40 (D) 38 (E) 59
Answer: C
A zinc-copper alloy with 2 kg of pure zinc would contain 90% of zinc. The alloy with 1 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy. Answer Choice: (A) 2.4 kg or 80% (B) 1.4 kg or 88% (C) 1.9 kg or 94.2% (D) 7.4 kg or 18% (E) 1.4 kg or 60%
Answer: C
When viewed through a certain microscope objects appear 120 times larger. If a red blood cell appears to have a radius of 49.2 centimeters, what is the actual diameter, in millimeters of the cell? (1 millimeter = 0.1 centimeter) Answer Choice: (A) 0.82 (B) 4.1 (C) 8.2 (D) 11.8 (E) 82
Answer: C
A man can hit a target once in 6 shots. If he fires 4 shots in succession, how many ways that he will hit his target? Answer Choice: (A) 71/234 (B) 81/133 (C) 81/343 (D) 27/56 (E) 91/324
Answer: D
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) 6 (B) 9 (C) 8 (D) 3 (E) 1
Answer: A
P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Answer Choice: (A) 2/13 (B) 3/17 (C) 8/15 (D) 9/21 (E) 9/22
Answer: C
In an examination a pupil's average marks were 63 per paper. If he had obtained 18 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: C
Patrick and Eric are on the two opposite banks of a river. They both have a rowing boat.
They both start at the same time towards the opposite bank. They pass each other at 180 meters from the bank where Patrick departed. When reaching the opposite bank, they both take a rest for the same amount of time before they return. On the way back, they pass each other at 100 meters from the bank from where Patrick returned.
Patrick and Eric both row with a constant speed, but Eric rows faster.
How wide is the river? Answer Choice: (A) 350 m (B) 250 m (C) 443 m (D) 500 m (E) 440 m
Answer: E
A certain series is defined by the following recursive rule: Sm=K(Sm-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term? Answer Choice: (A) ROOT 2 (B) ROOT 3 (C) 64*ROOT 3 (D) 64*3^1/3 (E) 64*3^24
Answer: D
Each student at a certain business school is assigned a 7-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create? Answer Choice: (A) 9,000 (B) 3,600 (C) 2,700 (D) 2,592 (E) 3,600,000
Answer: E
A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle? Answer Choice: (A) 16.665 (B) 16.565 (C) 15.465 (D) 14.365 (E) 14.378
Answer: D
In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders in that company? Answer Choice: (A) 7 (B) 36 (C) 5 (D) 8 (E) 9
Answer: B
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 8 months? Answer Choice: (A)  2^3 (B)  3^2 (C)  2(3^10) (D)  3(2^8) (E)  3(10^2)
Answer: D
In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue? Answer Choice: (A)  7% (B)  14% (C)  21% (D)  28% (E)  35%
Answer: C
A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 47 grams of protein daily, how many grams of food X are in the mixture? Answer Choice: (A) 240 (B) 260 (C) 280 (D) 300 (E) 320
Answer: B
David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked? Answer Choice: (A) 3/5 (B) 2/5 (C) 4/5 (D) 1/5 (E) 6/5
Answer: B
If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number? Answer Choice: (A) 47 (B) 48 (C) 49 (D) 50 (E) None
Answer: B
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal? Answer Choice: (A) 7 : 9 (B) 7 : 6 (C) 7 : 0 (D) 7 : 2 (E) 7 : 1
Answer: B
What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)? Answer Choice: (A) 60. (B) 85. (C) 125 (D) 225 (E) It cannot be determined from the information given
Answer: D
A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? Answer Choice: (A) 10(5/7)kmph (B) 21(2/3) kmph (C) 13 (5/7)kmph (D) 15 (5/7)kmph (E) 13 (2/7)kmph
Answer: C
A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17? Answer Choice: (A) 2 (B) 7 (C) 9 (D) 11 (E) 15
Answer: C
A, B and C can do a piece of work in 6 days, 12 days and 30 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 3 9/17 (B) 4 (C) 5 (D) 67 (E) 9
Answer: A
If Rs 1050 is divided into three parts, proportional to (1 / 3) : (3 / 4) : ( 4 / 6), then what is the first part? Answer Choice: (A) 238 (B) 2767 (C) 200 (D) 288 (E) 171
Answer: C
A man buys a cycle for Rs. 1800 and sells it at a loss of 10%. What is the selling price of the cycle? Answer Choice: (A) 1410 (B) 1620 (C) 1430 (D) 1440 (E) 1540
Answer: B
The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > 0 or y > x? Answer Choice: (A) 5/8 (B) 1/6 (C) 3/8 (D) 1/2 (E) 3/4
Answer: A
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation: Answer Choice: (A) 5 (B) 7 (C) 9 (D) 10 (E) 11
Answer: D
What is the largest 4 digit number exactly divisible by 88 Answer Choice: (A) 9900 (B) 9999 (C) 9988 (D) 9944 (E) None of these
Answer: D
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm? Answer Choice: (A) 5600 (B) 6000 (C) 1185 (D) 7200 (E) 8600
Answer: C
The mean of 40 observations was 36. It was found later that an observation 34 was wrongly taken as 20. The corrected new mean is Answer Choice: (A) 76.55 (B) 36.35 (C) 46.15 (D) 16.05 (E) 20
Answer: B
The average of three numbers is 29. The average of two of these numbers is 38. What is the third number? Answer Choice: (A) 10 (B) 14 (C) 11 (D) 17 (E) 19
Answer: C
A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 3, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following? Answer Choice: (A) 1/9 (B) 2/9 (C) 1/6 (D) 1/18 (E) 5/36
Answer: B
A bus traveled from its depot to its destination at an average speed of 60 kilometers per hour. On its return to the depot along the same route, the bus traveled at an average speed of only 40 kilometers per hour, making the trip 4 hours longer. What is the total distance of the round trip? Answer Choice: (A) 360 kilometers (B) 400 kilometers (C) 600 kilometers (D) 800 kilometers (E) 960 kilometers
Answer: E
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat? Answer Choice: (A) 3! (B) 8! (C) 7! (D) 9! (E) 11!
Answer: B
A group of four mens and three womens have tickets for seven adjacent seats in one row of a theater. If the three womens will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers? Answer Choice: (A) 7! – 2!3!2! (B) 7! – 4!3! (C) 7 × 2!3!2! (D) 7! – 6!3! (E) None of these
Answer: E
If an integer n is to be selected at random from 1 to 900, inclusive, what is probability n(n+1) will be divisible by 9? Answer Choice: (A) 1/9 (B) 1/3 (C) 1/2 (D) 2/9 (E) 2/3
Answer: D
Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings? Answer Choice: (A) 12890 (B) 12890 (C) 15800 (D) 12800 (E) 18800
Answer: D
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is? Answer Choice: (A) 7 1/6 sec (B) 7 3/2 sec (C) 7 1/7 sec (D) 7 1/2 sec (E) 3 3/2 sec
Answer: D
A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running? Answer Choice: (A) 6 (B) 5 (C) 3 (D) 4 (E) 4.5
Answer: E
Evaluate: 45 - 12*3*2 = ? Answer Choice: (A) 62 (B) 52 (C) 37 (D) 12 (E) 22
Answer: C
In a race where 8 cars are running, the chance that car X will win is 1/2, that Y will win is 1/4 and that Z will win is 1/3. Assuming that a dead heat is impossible, find the chance that one of them will win. Answer Choice: (A) 1/140 (B) 11/12 (C) 14/8 (D) 13/12 (E) 57/120
Answer: D
The diagonals of a rhombus are 15 cm and 20 cm. Find its area? Answer Choice: (A) 987 (B) 247 (C) 150 (D) 267 (E) 121
Answer: C
In the Land of Oz only one or two-letter words are used. The local language has 65 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition? Answer Choice: (A) 65 (B) 66 (C) 67 (D) 131 (E) 130
Answer: E
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answer Choice: (A) 76 (B) 50 (C) 88 (D) 12 (E) 81
Answer: B
Marie earns $16 per hour for overtime hours. She worked 8 hours overtime last week
and 6 hours overtime this week. Which expression could be used to find Marie’s overtime pay for
the two-week period? Answer Choice: (A) $16 8 6 (B) $16(8 6) (C) 8(6) $16 (D) 6($16 8) (E) 8(6) 8($16)
Answer: B
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 21 (E) 25
Answer: B
A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is? Answer Choice: (A) A)63kmph (B) B)63kmph (C) C)25kmph (D) D)62kmph (E) E)74kmph
Answer: C
W and F represent two distinct digits. If the number 457W89F is divisible by 36, what is the value of (W+F)? Answer Choice: (A) a) 9 (B) b) 3 (C) c) 12 (D) d) 6 (E) e) 10
Answer: B
A 7-in. pizza cost $8 and a 14-in . pizza cost $20. tommy says the smaller pizza is a better buy because the larger is twice as big and more than twice as expensive. do you agree with his reasoning? Answer Choice: (A) Yes (B) No (C) yes , but pizza so expensive (D) no i did like to purchase pizza in this shop (E) neutral
Answer: B
A monkey ascends a greased pole 19 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ? Answer Choice: (A) 21st (B) 22nd (C) 23rd (D) 35th (E) None of these
Answer: D
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 25 cm? Answer Choice: (A) 827 cm2 (B) 216 cm2 (C) 285 cm2 (D) 178 cm2 (E) 475 cm2
Answer: E
A boy rides his bicycle 20km at an average speed of 20km/hr and again travels 30km at an average speed of 10km/hr. His average speed for the entire trip is approximately? Answer Choice: (A) 10.6km/hr (B) 8.9km/hr (C) 15.5km/hr (D) 12.5km/hr (E) 15km/hr
Answer: D
The average marks of a class of 12 students is 40 and that of another class of 28 students is 60. Find the average marks of all the students? Answer Choice: (A) 52.2 (B) 59.5 (C) 52.8 (D) 52.5 (E) 54.0
Answer: E
In how many ways can the letters of the word APPLES be arranged in a row so that the vowels appear in alphabetic order? Answer Choice: (A) 220 (B) 320 (C) 360 (D) 420 (E) 222
Answer: C
Set R is composed of nine numbers, labeled R1 through R9. Set S is also composed of nine numbers, labeled S1 through S9. Set S is defined as follows: S1 = 1 + R1; S2 = 2 + R2; and so on, including S9 = 9 +R9. How much larger is the sum of set S's mean and range than the sum of set R's mean and range? Answer Choice: (A) 8 (B) cannot be determined (C) 4 (D) 6 (E) 9
Answer: B
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price? Answer Choice: (A) 28 (B) 277 (C) 12 (D) 99 (E) 32
Answer: C
3/8 of 168 * 15 / 5 + X = 549 / 9 + 275 Answer Choice: (A) 107 (B) 147 (C) 10 (D) 296 (E) None of these
Answer: B
The radius of a semi circle is 6.6 cm then its perimeter is? Answer Choice: (A) 32.7 (B) 32.4 (C) 22.4 (D) 33.9 (E) 32.1
Answer: D
Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 5, what is the probability that it is an odd number? Answer Choice: (A) 2/7 (B) 3/7 (C) 1/5 (D) 2/5 (E) 3/10
Answer: D
A Train T1 starts from Ahmedabad to Mumbai at 7 am and reaches at 12 noon. A second train T2 starts at 7 am from Mumbai reaches Ahmedabad at 1 pm. When did the two train cross each other ? Answer Choice: (A) 10.13 am (B) 10.00 am (C) 9.43 am (D) 9.35 am (E) none of these
Answer: C
If r is a positive integer and 10^r – 74 in decimal notation has digits whose sum is 440, what is the value of r? Answer Choice: (A) 40 (B) 44 (C) 45 (D) 46 (E) 50
Answer: E
Find the odd man out
2, 4, 8, 16, 48, 64 Answer Choice: (A) 48 (B) 8 (C) 16 (D) 4 (E) 2
Answer: A
Pipes A and B can fill a tank in 4 and 8 hours respectively. Pipe C can empty it in 16 hours. If all the three pipes are opened together, then the tank will be filled in? Answer Choice: (A) 3 9/97 hrs (B) 3 1/5 hrs (C) 3 9/17 hrs (D) 3 9/27 hrs (E) 3 9/19 hrs
Answer: B
The fourth proportional to 8, 13, 56 is: Answer Choice: (A) 91 (B) 92 (C) 93 (D) 94 (E) 95
Answer: A
Each of the three people individually can complete a certain job in 4, 5, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates? Answer Choice: (A) 9/20 (B) 11/20 (C) 11/32 (D) 13/40 (E) 17/40
Answer: D
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Answer Choice: (A) 40 sec (B) 70 sec (C) 49 sec (D) 47 sec (E) 42 sec
Answer: A