loafeihong/math_mmlu_format huggingface dataset:
A larger cube has 64 cubic inch as a volume and in the cube there are 64 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 64 smaller cubes and the surface area of the larger cube, in square inch? Answer Choice: (A) 54 (B) 64 (C) 81 (D) 288 (E) 120
Answer: D
Calculate the largest 5 digit number which is exactly divisible by 77? Answer Choice: (A) 99111 (B) 99946 (C) 99869 (D) 99792 (E) 99654
Answer: B
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is? Answer Choice: (A) 17 (B) 26 (C) 90 (D) 27 (E) 21
Answer: C
In a group of 5 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included? Answer Choice: (A) 65 (B) 50 (C) 80 (D) 35 (E) 120
Answer: A
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is : Answer Choice: (A) Rs. 118 (B) Rs. 120 (C) Rs. 124.75 (D) Rs. 131 (E) Rs. 124.75
Answer: C
A university cafeteria offers 1 flavors of pizza - pepperoni. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 1 (E) 32
Answer: D
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $350, by what percent is the price to be reduced? Answer Choice: (A) 70% (B) 15% (C) 20% (D) 25% (E) 30%
Answer: A
A team consists of 4 boys and 3 girls. If you pick two persons at the same time, what's the probability that one person is boy and other one is girl ? Answer Choice: (A) 2/7 (B) 5/7 (C) 4/7 (D) 3/7 (E) 1/2
Answer: C
A certain article of clothing was discounted during a special sale to 2/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale? Answer Choice: (A) 50% (B) 33.33% (C) 25% (D) 16.66% (E) 12.5%
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is: Answer Choice: (A) 5808 (B) 5336 (C) 5343 (D) 5345 (E) 5350
Answer: A
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Answer Choice: (A) 8/21 (B) 7/11 (C) 5/27 (D) 11/32 (E) 1/4
Answer: A
After working for 6 days, David was joined by Moore. Together they completed the remaining job in 3 days. How many days will it take both of them to complete the entire job, given that it would have taken David 12 days to complete the job alone? Answer Choice: (A) 7 (B) 4 (C) 6 (D) 2 (E) 7
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 877 m (B) 165 m (C) 167 m (D) 887 m (E) 265 m
Answer: B
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-8, 1), (1, 1), (1, -7 and (-8, -7)? Answer Choice: (A) 144 (B) 36 (C) 72 (D) 56 (E) 112
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow? Answer Choice: (A) 2/29 (B) 2/17 (C) 2/21 (D) 2/28 (E) 2/11
Answer: C
A discount of 20 percent on an order of goods followed by a discount of 20 percent amounts to Answer Choice: (A) the same as one 45 percent discount (B) the same as one 40 percent discount (C) the same as one 36 percent discount (D) the same as one 30 percent discount (E) the same as one 25 percent discount
Answer: C
In the set of positive integers from 1 to 90, what is the sum of all the odd multiples of 5? Answer Choice: (A) 180 (B) 245 (C) 320 (D) 405 (E) 450
Answer: D
A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? Answer Choice: (A) 14 (B) 16 (C) 21 (D) 24 (E) 27
Answer: D
A metallic sheet is of rectangular shape with dimensions 30 m x 25 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m cube) is: Answer Choice: (A) 920 m cube (B) 840 m cube (C) 1000 m cube (D) 120 m cube (E) None of these
Answer: E
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half? Answer Choice: (A) 15 min (B) 20 min (C) 27.5 min (D) 30 min (E) 25 min
Answer: D
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 14 cm2. Find the lengths of all sides. Answer Choice: (A) 10 and 3 (B) 7 and 10 (C) 10 and 7 (D) 3 and 10 (E) 8 and 5
Answer: E
The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas? Answer Choice: (A) 81 : 100 (B) 9 : 11 (C) 729 : 1331 (D) 27 : 121 (E) None of these
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 21 seconds. What is the length of the train? Answer Choice: (A) 350 m (B) 278 m (C) 876 m (D) 150 m (E) 267 m
Answer: A
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 20 percent of the drive from the center, what percent of the round-trip has the technician completed? Answer Choice: (A) 5% (B) 10% (C) 60% (D) 40% (E) 50%
Answer: C
An amount of Rs.95000 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. 59375; Rs. 35625 (C) s. 72500; Rs. 27500 (D) s. 82500; Rs. 17500 (E) s. 72500; Rs. 17500
Answer: B
If r = 199,999 and s = 991,999, which of the following is the units digit of r^5 + s^4? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 8 (E) 9
Answer: A
At present, the ratio between the ages of Arun and Deepak is 4:5. After 5 years, Arun's age will be 25 years. What is the age of Deepak at present? Answer Choice: (A) 18 (B) 20 (C) 25 (D) 23 (E) 22
Answer: C
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 47 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast? Answer Choice: (A) 10% (B) 6% (C) 15% (D) 17% (E) 20%
Answer: B
Find the value of c from (8)^3 x 9^3 Ã· 679 = c. Answer Choice: (A) 249.7 (B) 529.7 (C) 549.7 (D) 594.7 (E) 119.7
Answer: C
Sixty percent of a number is 21 less than four fifth of that number. What is the number ? Answer Choice: (A) 240 (B) 140 (C) 230 (D) 130 (E) 105
Answer: E
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively. In how much time will they cross each other, if they are running in the same direction? Answer Choice: (A) 72 sec (B) 210 sec (C) 192 sec (D) 252 sec (E) None
Answer: B
How many 3-digit even numbers are possible such that if one of the digits is 4, the next/succeeding digit to it should be 7? Answer Choice: (A) 305 (B) 5 (C) 365 (D) 405 (E) 495
Answer: B
What is the next number of the following sequence
10, 7, 12, 10, 14, __ ? Answer Choice: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17
Answer: A
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Answer Choice: (A) 1350 (B) 277 (C) 299 (D) 266 (E) 29912
Answer: A
In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons? Answer Choice: (A) A)160 (B) B)170 (C) C)190 (D) D)15120 (E) E)230
Answer: D
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%? Answer Choice: (A) 16 2/3% (B) 16 2/8% (C) 16 7/3% (D) 16 5/3% (E) 16 6/3%
Answer: A
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers Answer Choice: (A) 23 (B) 28 (C) 48 (D) 25 (E) 99
Answer: D
On January 1, 2004 two new societies, S1 and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r? Answer Choice: (A) 2 (B) 9 (C) 1.8 (D) 1.7 (E) None
Answer: A
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. Answer Choice: (A) 1999 (B) 1900 (C) 19077 (D) 19055 (E) 19012
Answer: B
Seven different books (A, B, C, D,E,F and G) are to be arranged on a shelf. Books A , B and C are to be arranged first and second starting from the right of the shelf. The number of different orders in which books D,E, F and G may be arranged is Answer Choice: (A) 4! (B) 15! (C) 16! (D) 28! (E) 42!
Answer: A
The H.C.F. of two numbers is 18 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is: Answer Choice: (A) 270 (B) 300 (C) 299 (D) 322 (E) 345
Answer: A
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full? Answer Choice: (A) 19:00 (B) 17:00 (C) 16:00 (D) 18:00 (E) 20:00
Answer: A
Sum of ages of two friends is 25 while difference is 3 then their ages are Answer Choice: (A) 15 years, 17 years (B) 11 years, 14 years (C) 16 years, 20 years (D) 10 years, 16 years (E) None
Answer: B
If x is even and y is odd, which of the following is odd? Answer Choice: (A) xy (B) 5xy (C) 6(x^2)y (D) 5x + 6y (E) 6x + 5y
Answer: E
The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks? Answer Choice: (A) A)78 (B) B)82 (C) C)96 (D) D)91 (E) E)85
Answer: C
The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is Answer Choice: (A) 25 years (B) 30 years (C) 35 years (D) 40 years (E) None
Answer: C
How many times does the minute hand go round in a day? Answer Choice: (A) 21 (B) 20 (C) 12 (D) 26 (E) 25
Answer: C
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss. Answer Choice: (A) $ 40. (B) $ 50. (C) $ 60. (D) $ 70. (E) None
Answer: B
A committee has 3 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? Answer Choice: (A) 127 (B) 60 (C) 882 (D) 272 (E) 323
Answer: B
In shop contains 500 articles each of a cost of $10. He sold them at a price of $12. If the shop keeper has a order of 200 articles, how much profit he will get? Answer Choice: (A) 200 (B) 2000 (C) 1500 (D) 400 (E) 600
Answer: D
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 45%. Lucas used a travel voucher to purchase the vacation package at 35% off this year’s price. In terms of P, how much did Lucas pay? Answer Choice: (A)  P + 10 (B)  0.91*P (C)  0.92*P (D)  0.93*P (E)  0.94*P
Answer: E
For all even integers n, h(n) is defined to be the sum of the even integers between 6 and n, inclusive. What is the value of h(18)/h(10) ? Answer Choice: (A)  1.8 (B)  4 (C)  6 (D)  18 (E)  60
Answer: B
A certain article of clothing was discounted during a special sale to 4/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale? Answer Choice: (A) 50% (B) 33.33% (C) 40% (D) 16.66% (E) 12.5%
Answer: C
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) s.10 (B) s.2 (C) s.5 (D) s.3 (E) s.4
Answer: E
The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 86436 cu.m.its width is Answer Choice: (A) 4m (B) 5m (C) 6m (D) 7m (E) 8m
Answer: D
If m = 3^n, what is the greatest value of n for which m is a factor of 31! Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 16
Answer: D
A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) 875 (B) 2876 (C) 1977 (D) 2778 (E) 2711
Answer: A
A single discount equivalent to the discount series of 30%, 20% and 10% is? Answer Choice: (A) 31.8 (B) 31.1 (C) 31.6 (D) 31.2 (E) 49.6
Answer: E
On a sum of money, the simple interest for 2 years is Rs. 330, 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) 6.06% (D) 10.5% (E) 11.5%
Answer: C
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following can be the difference of A and B ? Answer Choice: (A) 73 (B) 44 (C) 27 (D) 21 (E) 91
Answer: C
y = 2x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b? Answer Choice: (A) -120.5 (B) -124.5 (C) -128.5 (D) -132.5 (E) 132.5
Answer: C
Alice leaves her home and walks toward Bob's house. One hour later, Bob leaves his home and walks toward Alice's house. The distance between their homes is 41 kilometers, Alice's walking speed is 5 km/h, and Bob's walking speed is 4 km/h. How many kilometers will Alice walk before she meets Bob? Answer Choice: (A) 22 (B) 25 (C) 27 (D) 38 (E) 30
Answer: B
Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ? Answer Choice: (A) 3/11 (B) 7/9 (C) 1/8 (D) 4/7 (E) 1/6
Answer: A
A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false? Answer Choice: (A) The even numbered statements are true and the odd numbered statements are false. (B) The odd numbered statements are true and the even numbered statements are false. (C) All the statements are false. (D) The 39th statement is true and the rest are false (E) The 69th statement is true and the rest are false
Answer: B
A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of Answer Choice: (A) 400 km/hr (B) 420 km/hr (C) 450 km/hr (D) 470 km/hr (E) 580 km/hr
Answer: A
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle. Answer Choice: (A) 99 (B) 277 (C) 12 (D) 989 (E) 221
Answer: C
There are 13 which, 15 black, 16 red hats on a table. In one step, you may chose two hats of different colors and replace each one by a hat of the third color. After how many steps this can be reached? Answer Choice: (A) 2 (B) 7 (C) 3 (D) 9 (E) 1
Answer: C
A row of ants comprised of 102 ants. A man walked upon it and all except 42 were crushed beneath his foot.
How many ants are left alive? Answer Choice: (A) 41 (B) 42 (C) 43 (D) 44 (E) 45
Answer: B
John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make aprofit. Answer Choice: (A) Rs. 90 (B) Rs. 120 (C) Rs. 200 (D) Rs. 250 (E) Rs. 290
Answer: C
If x > 2000, then the value of (x)/(2x+1) is closest to? Answer Choice: (A) 1/6 (B) 1/3 (C) 10/21 (D) 1/2 (E) 3/2
Answer: D
If the cost price is 91% of sp then what is the profit % Answer Choice: (A) 9.89% (B) 8.90% (C) 9.00% (D) 8.00% (E) 9.27%
Answer: A
In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course? Answer Choice: (A) 1 min 30 sec (B) 1 min (C) 1 min 10 sec (D) 1min 40 sec (E) 1min 50 sec
Answer: D
On a certain road, 40% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit? Answer Choice: (A) 10.5% (B) 12.5% (C) 15% (D) 22% (E) 50%
Answer: E
Tanks C and B are each in the shape of a right circular cylinder. The interior of tank C has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank C is what percent of the capacity of tank B? Answer Choice: (A) 75% (B) 80% (C) 100% (D) 120% (E) 125%
Answer: B
A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited? Answer Choice: (A) 300 (B) 250 (C) 400 (D) 500 (E) None
Answer: A
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other? Answer Choice: (A) 4: 45 p.m. (B) 5: 00 p.m. (C) 5: 20 p.m. (D) 5: 35 p.m (E) 6: 00 p.m
Answer: C
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) 12 cm (B) 10 cm (C) 83 cm (D) 20 cm (E) 30 cm
Answer: B
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start? Answer Choice: (A) 2 hours (B) 7 hours (C) 8 hours (D) 3 hours (E) 3 hours
Answer: A
Find the mean proportional of the following pairs of numbers 6 and 24. Answer Choice: (A) 27 (B) 28 (C) 29 (D) 23 (E) 12
Answer: B
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office? Answer Choice: (A) 8km/h (B) 12km/h (C) 14km/h (D) 16km/h (E) 17km/h
Answer: A
5 men and 3 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio Answer Choice: (A) 1:1 (B) 1:3 (C) 2:1 (D) 2:3 (E) None of these
Answer: A
Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches? Answer Choice: (A) 25 (B) 43 (C) 42 (D) 40 (E) 18
Answer: D
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube? Answer Choice: (A) 99 (B) 88 (C) 71 (D) 18 (E) 77
Answer: D
Two planes take off from neighboring runways at the same time. The British Airways Jet heads directly East at 300 Km/Hr, while the American Airlines Jet takes off heading directly west at 250km/hr. At this speed, how long before the two planes are 2,000 Km away from each other? Answer Choice: (A) 4 hours (B) 3.75 hours (C) 3.0 hours (D) 3.5 hours (E) 3.63 Hours
Answer: E
If the sum of a number and its square is 210, What is the number? Answer Choice: (A) 16 (B) 14 (C) 25 (D) 87 (E) 171
Answer: B
During a clearance sale, a retailer discounted the original price of its TVs by 30% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay? Answer Choice: (A) 40% (B) 45% (C) 56% (D) 60% (E) 62.5%
Answer: C
80 370 860 ? 2440 3530 Answer Choice: (A) 900 (B) 840 (C) 750 (D) 860 (E) 1550
Answer: E
In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 9 women? Answer Choice: (A) A)144 (B) B)15 (C) C)20 (D) D)18 (E) E)21
Answer: A
Average of first five multiples of 10 is Answer Choice: (A) 9 (B) 11 (C) 30 (D) 15 (E) 17
Answer: C
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. If the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own? Answer Choice: (A) 3250 (B) 3450 (C) 4000 (D) 3750 (E) 3800
Answer: C
There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30
Answer: C
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by: Answer Choice: (A) 1/7 (B) 1/8 (C) 1/9 (D) 7/8 (E) 1/5
Answer: A
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence? Answer Choice: (A) 201/100 (B) 99/100 (C) 100/101 (D) 1/10000 (E) 200/201
Answer: E
In a mixture of 60 litres the ratio of milk to water is 5:1. Additional 20 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture. Answer Choice: (A) 2:3 (B) 5:3 (C) 1:4 (D) 3:2 (E) 3:1
Answer: B
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Answer Choice: (A) 2.9 hrs (B) 8.9 hrs (C) 2.9 hrs (D) 7.2 hrs (E) 8.6 hrs
Answer: D
If (10^67) – 63 is written as a base 10 integer, which of the following options is the sum of the digits in that integer? Answer Choice: (A) 598 (B) 495 (C) 590 (D) 595 (E) 695
Answer: D
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 1/8; circuit two, 3/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails? Answer Choice: (A) 9/80 (B) 3/10 (C) 35/80 (D) 303/800 (E) 497/800
Answer: D
Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half yearly will be Answer Choice: (A) 6.09% (B) 6.10% (C) 6.12% (D) 6.14% (E) None of these
Answer: A
If the average (arithmetic mean) of x + 1, x + 4, and x + 7 is 0, then x = Answer Choice: (A) –4 (B) –3 (C) –2 (D) –1 (E) 0
Answer: A