loafeihong/math_mmlu_format huggingface dataset:
What is the remainder when 123456789101112131415161718192021222324252627282930313233343536373839404142434481 is divided by 45? Answer Choice: (A) 26 (B) 36 (C) 16 (D) 06 (E) 40
Answer: B
Abel can complete a work in 8 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work. How long did the work last? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 9 (E) 10
Answer: A
The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions? Answer Choice: (A) 260 m (B) 290 m (C) 320 m (D) 330 m (E) 380 m
Answer: D
The value of 1 + [1/(8 x 2)] + [1/(8 x 2²)] + [1/(8 x 2³)] is : Answer Choice: (A) 71/64 (B) 1/16 (C) 1/4 (D) 1/3 (E) None of these
Answer: A
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? Answer Choice: (A) 5 (B) 10 (C) 51 (D) 15 (E) 20
Answer: E
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.714 find the share of A. Answer Choice: (A) 240 (B) 272 (C) 379 (D) 277 (E) 122
Answer: B
The average mark of a class of twenty five students is 66. If five students whose marks are 32,28, 30, 26 and 34 are removed , then find the average mark of the remaining students of the class. Answer Choice: (A) 75 (B) 74 (C) 57 (D) 70 (E) 80
Answer: A
If 40% of a number is 28, then the number is Answer Choice: (A) number is 60 (B) number is 70 (C) number is 90 (D) number is 80 (E) None of these
Answer: B
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make? Answer Choice: (A) 20.97 (B) 20.98 (C) 90.97 (D) 20.95 (E) 20.91
Answer: B
In the city of San Durango, 90 people own cats, dogs, or rabbits. If 30 people owned cats, 30 owned dogs, 50 owned rabbits, and 14 owned exactly two of the three types of pet, how many people owned all three? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
If the speed of X inch per second is equivalent to the speed of Y foot per hour, what is Y in terms of X? (1 foot =12 inch) Answer Choice: (A) 120X (B) 240X (C) 360X (D) 300X (E) 100x
Answer: D
The two lines y=x and x=-7 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis? Answer Choice: (A) 18.5 (B) 21.5 (C) 24.5 (D) 27.5 (E) 30.5
Answer: C
Which of the following is between 53/70 and 5/6? Answer Choice: (A) 1/3 (B) 3/8 (C) 1/2 (D) 5/8 (E) 7/9
Answer: E
What is the least number should be added to 1056, so the sum of the number is completely divisible by 28? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 8
Answer: E
What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30 Answer Choice: (A) 474.46 (B) 477.89 (C) 524.41 (D) 564.40 (E) None of these
Answer: B
An amount of Rs. 65000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was? Answer Choice: (A) s. 52500; Rs. 47500 (B) s. 40625; Rs. 24375 (C) s. 72500; Rs. 27500 (D) s. 82500; Rs. 17500 (E) s. 72500; Rs. 17500
Answer: B
Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ? Answer Choice: (A) after 20 hours (B) after 115 hours (C) after 115 minutes (D) after 20 minutes (E) after 30 minutes
Answer: B
How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 5 years (B) 6 years (C) 7 years (D) 12 years (E) 15 years
Answer: A
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 34 Years (B) 37 Years (C) 49 Years (D) 51 Years (E) 57 Years
Answer: C
In a family 7 children dont eat spinach, 6 dont eat carrot, 5 dont eat beans, 4 dont eat spinach & carrots, 3 dont eat carrot & beans, 2 dont eat beans & spinach. One doesnt eat all 3. Find the no. of children. Answer Choice: (A) 9 (B) 10 (C) 11 (D) 12 (E) 13
Answer: B
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took. Answer Choice: (A) 530 (B) 675 (C) 330 (D) 987 (E) 854
Answer: B
A boy has six trousers and 13 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 238 ways (B) 87 ways (C) 66 ways (D) 78 ways (E) 121 ways
Answer: D
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Answer Choice: (A) 45 (B) 60 (C) 75 (D) 90 (E) None
Answer: D
From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning? Answer Choice: (A) 40 (B) 10 (C) 50 (D) 30 (E) 20
Answer: A
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday? Answer Choice: (A) 65 degrees (B) 73 degrees (C) 37 degrees (D) 34 degrees (E) 74 degrees
Answer: D
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Answer Choice: (A) 46 cm2 (B) 42 cm2 (C) 29 cm2 (D) 25 cm2 (E) 40 cm2
Answer: E
If two positive numbers are in the ratio 1/10 : 1/7, then by what percent is the second number more than the first? Answer Choice: (A) 67%. (B) 42.8%. (C) 60%. (D) 68%. (E) 80%.
Answer: B
How many integers between 100 and 180, inclusive, cannot be evenly divided by 3 nor 5? Answer Choice: (A) 39 (B) 41 (C) 43 (D) 45 (E) 47
Answer: C
Two digits number is divided by the product of their digit and the result is 3.now 18 is added to the number the digit will be inter changed. what is the number. Answer Choice: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24
Answer: E
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is Answer Choice: (A) 5/9 (B) 5/12 (C) 1/36 (D) 7/12 (E) 4/9
Answer: B
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Answer Choice: (A) 11 (B) 10 (C) 28 (D) 27 (E) 12
Answer: D
Two employees X and Y are paid a total of Rs. 800 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.200.63 (B) s.250.63 (C) s.290.63 (D) s.300.63 (E) s.363.63
Answer: E
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Answer Choice: (A) 399 (B) 267 (C) 350 (D) 788 (E) 277
Answer: C
How many ltrs of water must beadded to 16ltrs of milk and water containing 10% water to make it 20% water in it? Answer Choice: (A) 1 liter (B) 2 liter (C) 3 liter (D) 5 liter (E) 7 liter
Answer: B
If log12 27 = a, then log6 16 is: Answer Choice: (A) (3-a)/4(3+a) (B) (3+a)/4(3-a) (C) 4(3+a)/(3-a) (D) 4(3-a)/(3+a) (E) 5(3-a)/(3+a)
Answer: D
The average age of a class of 12 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher? Answer Choice: (A) 40 years (B) 34 years (C) 42 years (D) 43 years (E) 44 years
Answer: B
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute? Answer Choice: (A) 1250m/min (B) 1360m/min (C) 2560m/min (D) 1670m/min (E) 1890m/min
Answer: A
For how many prime pairs (p, q) does there exist an integer n such that
(p2 + 1)*(q2 + 1) = n2 + 1 ? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) infinitely many
Answer: A
Each shelf of a bookcase contained 11 books. If the librarian took out 30 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 5 books, how many shelves does the bookcase have? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
If k and y are integers, then ky(k + y) is Answer Choice: (A) Always positive (B) Always negative (C) Positive when k is positive (D) Negative when k is negative (E) It cannot be determined by the information given
Answer: E
There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is Answer Choice: (A)  5 (B)  21 (C)  33 (D)  60 (E)  40
Answer: B
If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a? Answer Choice: (A) 22 (B) 11 (C) 9 (D) 6 (E) 3
Answer: E
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? Answer Choice: (A) 120 (B) 180 (C) 200 (D) 280 (E) 300
Answer: D
If 40% of a number is equal to 2/3 of another number, what is the ratio of first number to the second number? Answer Choice: (A) 5/3 (B) 3/5 (C) 3/7 (D) 5/7 (E) 7/9
Answer: A
If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
. Answer Choice: (A) √n + 1 (B) n + 1 (C) n^2 + 1 (D) n + 2√n + 1 (E) n^2 + 2n + 1
Answer: D
A bag contains 5 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 2/15 (B) 2/21 (C) 5/26 (D) 3/29 (E) 4/27
Answer: B
For a certain set of numbers, if x is in the set, then x - 2 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?
a) -4
b) -1
c) -5 Answer Choice: (A) a only, (B) b only, (C) c only, (D) a and b only (E) b and c only
Answer: D
Excluding stoppages, the speed of a bus is 64 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 15.5 (B) 12.3 (C) 10.5 (D) 10.12 (E) 13.12
Answer: E
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5? Answer Choice: (A) 37 cm (B) 10 cm (C) 17 cm (D) 88 cm (E) 87 cm
Answer: B
If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 2d = Answer Choice: (A) 540 (B) 570 (C) 619 (D) 649 (E) 700
Answer: A
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 21 liters of drink A to convert it to drink B? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: E
A is half good a work man as B and together they finish a job in 10 days. In how many days working alone B finish the job? Answer Choice: (A) 98 days (B) 21 days (C) 17 days (D) 18 days (E) 15 days
Answer: E
If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to? Answer Choice: (A) a.36000 (B) b.37000 (C) c.38000 (D) d.39000 (E) e.40000
Answer: A
We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 120 inches and the width is 108 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches? Answer Choice: (A) a 125 (B) b 120 (C) c 70 (D) d 40 (E) e 10
Answer: A
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit Q on this shipment? Answer Choice: (A) a) $100 (B) b) $115 (C) c) $125 (D) d) $130 (E) e) $135
Answer: C
Two unbiased coins are tossed. What is the probability of getting two heads? Answer Choice: (A) 1/2 (B) 1/4 (C) 2/3 (D) 1/5 (E) 2/7
Answer: B
If r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of r ? Answer Choice: (A)  10 (B)  12 (C)  14 (D)  16 (E)  18
Answer: C
What is the total cost of 2 sandwiches at $2.45 each and 4 sodas at $0.87 each? Answer Choice: (A) $8.38 (B) $6.85 (C) $8.46 (D) $10.08 (E) $11.85
Answer: A
A,B,C can complete a piece of work in 3,9and 15 days respectively. Working together, they will complete the same work in how many days? Answer Choice: (A) 45/23 (B) 55/23 (C) 61/57 (D) 12/13 (E) 22/23
Answer: A
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum? Answer Choice: (A) Rs.7500 (B) Rs.7503 (C) Rs.7227 (D) Rs.7528 (E) Rs.1281
Answer: A
What is the remainder when the number T=14^2 * 15^8 is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 4 (E) 5
Answer: A
How many 2 digit number contain number 3 ? Answer Choice: (A) 18 (B) 28 (C) 38 (D) 68 (E) 58
Answer: A
Half a number plus 6 is 11.What is the number? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: C
If 50 percent of the members of a certain organization are women and 5/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization. Answer Choice: (A) I (B) II (C) III (D) I,II & III (E) I,II
Answer: E
If A and B are Two +ve integers and A ≠0 and B ≠0 which can be the following CAN equal to Zero? Answer Choice: (A) A+B (B) A-B (C) A/B (D) A*B (E) A^2+B
Answer: B
What is the present worth of Rs. 264 due in 2 years at 5% simple interest per annum? Answer Choice: (A) 128 (B) 277 (C) 120 (D) 240 (E) 171
Answer: D
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and fiveteen copper coins, how many different sums from 1¢ to 160¢ can he make with a combination of his coins? Answer Choice: (A) 80 (B) 85 (C) 81 (D) 160 (E) 157
Answer: C
A ladder 30 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 10 feet from the base of the wall. If the top of the ladder slips down 5 feet, how many feet will the bottom of the ladder slip? Answer Choice: (A) 14 (B) 15 (C) 18.92 (D) 19 (E) 25
Answer: C
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest? Answer Choice: (A) 5:1 (B) 5:6 (C) 5:2 (D) 5:8 (E) 5:2
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) 6 (B) 9 (C) 5 (D) 1 (E) 4
Answer: A
In the seaside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen? Answer Choice: (A) 50. (B) 45. (C) 40. (D) 30. (E) 25.
Answer: A
If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q? Answer Choice: (A) 60 (B) 28 (C) 26 (D) 17 (E) 81
Answer: A
The remainder when 1!+2!+3!...+50! divided by 8! will be Answer Choice: (A) 21 (B) 5193 (C) 77 (D) 9275 (E) 19
Answer: B
In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase? Answer Choice: (A)  $32 (B)  $50 (C)  $320 (D)  $400 (E)  $500
Answer: D
For any 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 +2 and #6 +6 , inclusive? Answer Choice: (A) None (B) One (C) Two (D) Three (E) Four
Answer: A
A circular rim 35 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ? Answer Choice: (A) 48pi/x (B) 50x (C) 48x (D) 24x (E) x/75
Answer: B
If the integer p is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when p is rounded to the nearest ten. which of the following is a possible value of p? Answer Choice: (A) 64 (B) 67 (C) 99 (D) 133 (E) 147
Answer: A
A parking garage rents parking spaces for $10 per week or $25 per month. How much does a person save in a year by renting by the month rather than by the week? Answer Choice: (A)  $120 (B)  $160 (C)  $220 (D)  $240 (E)  $260
Answer: A
A 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 B ? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 12
Answer: D
The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1836 in revenue from the sales. How many orchestra tickets did they sell? Answer Choice: (A) 38 (B) 42 (C) 46 (D) 50 (E) 54
Answer: B
Pipe A can fill a tank in 8 hours, pipe B in 16 hours and pipe C in 16 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
If x^2 + 9/x^2 = 42, what is the value of x - 3/x Answer Choice: (A) 6 (B) 25 (C) 9 (D) 5 (E) 3
Answer: A
Express 25 mps in kmph? Answer Choice: (A) 299 (B) 29 (C) 90 (D) 77 (E) 11
Answer: C
X, Y, and Z are different prime numbers. The product X^3*Y^2*Z^2 is divisible by how many different positive numbers? Answer Choice: (A) 24 (B) 36 (C) 48 (D) 60 (E) 72
Answer: B
If x is an integer, then x(x - 1)(x - b) must be evenly divisible by three when b is any of the following values EXCEPT Answer Choice: (A) -4 (B) -2 (C) -1 (D) 2 (E) 5
Answer: B
Which of the following is a divisible by 11 number ? Answer Choice: (A) 92 (B) 80 (C) 30 (D) 120 (E) 121
Answer: E
What is the speed of the train in km/hr whose length is 360 metres which passes a pole in 18 seconds? Answer Choice: (A) 59/9 km/hr (B) 50/9 km/hr (C) 25/6 km/hr (D) 55/18 km/hr (E) 60/18 km/hr
Answer: B
A man is walking at the rate of 8 km/hr crosses a bridge in 15 minutes. The length of the bridge is Answer Choice: (A) 1000 meters (B) 1050 meters (C) 1200 meters (D) 2000 meters (E) None of these
Answer: D
Rahul's mother is the only daughter of Monika's father. How is Monika's husband related to Rahul ? Answer Choice: (A) Uncle (B) Father (C) Grandfather (D) Brother (E) SISTER
Answer: B
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments? Answer Choice: (A) 5 : 7 : 8 (B) 20 : 49 : 64 (C) 38 : 28 : 21 (D) None of these (E) Cannot be determined
Answer: B
In 1982 and 1983, Company B’s operating expenses were $12.0 million and $14.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ? Answer Choice: (A) 3% (B) 16 2/3% (C) 25% (D) 33 1/3% (E) 60%
Answer: D
Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction? Answer Choice: (A) 90 sec (B) 18 sec (C) 19 sec (D) 15 sec (E) 11 sec
Answer: A
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon? Answer Choice: (A) 144° (B) 150° (C) 168° (D) 180° (E) None of these
Answer: B
5355 x 51 = ? Answer Choice: (A) 273105 (B) 273243 (C) 273247 (D) 273250 (E) 273258
Answer: A
(786×74) ÷ ? = 3635.25 Answer Choice: (A) A)4.8 (B) B)48 (C) C)16 (D) D)68 (E) E)48
Answer: C
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is? Answer Choice: (A) Rs.150 (B) Rs.100 (C) Rs.125 (D) Rs.175 (E) Rs.275
Answer: C
There are two cars. One is 300 miles north of the other. Simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour. How many miles apart are the cars after 5 hours? Answer Choice: (A) 300 (B) 360 (C) 400 (D) 450 (E) 500
Answer: E
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.10000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 14
Answer: E
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 60 kmph. After how much time will they meet for the first time at the starting point? Answer Choice: (A) 120 sec (B) 176 sec (C) 178 sec (D) 187 sec (E) 180 sec
Answer: E
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long? Answer Choice: (A) 80 sec (B) 89 sec (C) 99 sec (D) 86 sec (E) 85 sec
Answer: B
There are k members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of k? Answer Choice: (A) 11 (B) 12 (C) 15 (D) 18 (E) 22
Answer: B
A circular rim 20 inches in diameter rotates the same number of inches per second as a circular rim 30 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ? Answer Choice: (A) 40x (B) 75x (C) 48x (D) 24x (E) x/75
Answer: A
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly once in 3 consecutive flips ? Answer Choice: (A) 0.125 (B) 0.375 (C) 0.325 (D) 0.5 (E) 0.666
Answer: B
Which is smallest prime number? Answer Choice: (A) 37 (B) 47 (C) 24 (D) 67 (E) 107
Answer: A
A man sitting in a bullet train which is travelling at 50 kmph observes that a goods bullet train , travelling in opposite direction, takes 9 seconds to pass him. If the goods bullet train is 280 m long, find its speed.? Answer Choice: (A) 44 kmph. (B) 52 kmph. (C) 75 kmph. (D) 83 kmph. (E) 62 kmph.
Answer: E
What is the smallest integer n for which 25^n > 5^12 ? Answer Choice: (A)  6 (B)  7 (C)  8 (D)  9 (E)  10
Answer: B
Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer. Answer Choice: (A) 8 (B) 16 (C) 32 (D) 48 (E) 54
Answer: D
On a sum of money, the simple interest for 2 years is Rs. 324, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is Answer Choice: (A) 15% (B) 14.25% (C) 9.87% (D) 10.5% (E) 11.5%
Answer: C