loafeihong/math_mmlu_format huggingface dataset:
Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings? Answer Choice: (A) 8:6 (B) 8:9 (C) 8:3 (D) 8:7 (E) 8:1
Answer: D
A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle? Answer Choice: (A) s. 1090 (B) s. 1160 (C) s. 1190 (D) s. 1202 (E) s. 1050
Answer: E
A set of books costs the merchant $500. At what price would the merchant be sold the set of books if he got loss of 5% ? Answer Choice: (A) $475 (B) $480 (C) $485 (D) $495 (E) None of these
Answer: A
In how many ways can a cricket eleven be chosen out of a batch of 15 players. Answer Choice: (A) 1365 (B) 1500 (C) 1406 (D) 1879 (E) 2000
Answer: A
A train running at the speed of 180 km/hr crosses a pole in 9 seconds. Find the length of the train. Answer Choice: (A) 150 meter (B) 286 meter (C) 186 meter (D) 288 meter (E) 450 meter
Answer: E
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What isthe probability that theextracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initially in the bag were equally possible ? Answer Choice: (A) 2/3 (B) 5/8 (C) 3/5 (D) 4/7 (E) 5/8
Answer: B
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work? Answer Choice: (A) 18 days (B) 24 days (C) 30 days (D) 36 days (E) 35 days
Answer: A
A man in a train travelling at 25km/hr notices that a train going in the opposite direction passes him in 7 sec.If the length of this train is 180m find its speed . Answer Choice: (A) 30 km/hr (B) 40 km/hr (C) 50 km/hr (D) 68 km/hr (E) 70 km/hr
Answer: D
7 persons a, b, c, d, e, f and g are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there? Answer Choice: (A) 24 (B) 36 (C) 480 (D) 720 (E) 2880
Answer: D
A student is mixing oil and water as part of an experiment. The student's mixture has a 5:3 oil to water ratio. If the student used 12 more units of oil than water, how many units of water were used? Answer Choice: (A) 14 (B) 18 (C) 19 (D) 22 (E) 24
Answer: B
The number of the members of a club is more than 20 and less than 50. When 4 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 8-people groups, how many people will be left? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: D
If the sum of two numbers is 18 and the sum of their squares is 180, then the product of the numbers is Answer Choice: (A) 72 (B) 44 (C) 80 (D) 88 (E) 48
Answer: A
A man can swim in still water at 12 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 4 (B) 5 (C) 3 (D) 2 (E) 8
Answer: A
In a container of vegetables there are 25% potatoes, 40% onions and the rest are tomatoes. If there are 200 kgs vegetables in the container, how many tomatoes are there in the container? Answer Choice: (A) 70 kg (B) 58 kg (C) 110 kg (D) 85 kg (E) 65 kg
Answer: A
The cost of 8 gel pens and 12 ball pens is Rs.82. What would be the cost of 36 gel pens and 54 ball pens? Answer Choice: (A) Rs.366 (B) Rs.365 (C) Rs.369 (D) Rs.364 (E) None of these
Answer: C
The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction? Answer Choice: (A) 3/16 (B) 3/28 (C) 3/11 (D) 3/19 (E) 3/29
Answer: C
A 280 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Answer Choice: (A) 220 m (B) 240 m (C) 260 m (D) 320 m (E) 330 m
Answer: A
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is: Answer Choice: (A) 35.55 km/hr (B) 36 km/hr (C) 71.11 km/hr (D) 71 km/hr (E) 81 km/hr
Answer: C
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? Answer Choice: (A) 3 hrs 25 min (B) 3 hrs 45 min (C) 3 hrs 48 min (D) 3 hrs 35 min (E) 2 hrs 45 min
Answer: B
When average age of 23 members are 0, how many members greater than 0? Answer Choice: (A) 17 (B) 22 (C) 21 (D) 24 (E) 25
Answer: B
If 2*f(x) - f(1/x) = x2x2 , then f(x) is? Answer Choice: (A) f(x) = 3{2*x2x2 + (1x)2(1x)9 } (B) f(x) = 3{2*x2x2 + (1x)2(1x)2 } (C) f(x) = 3{2*x2x2 + (1x)2(1x)3 } (D) f(x) = 3{2*x2x2 + (1x)2(1x)4 } (E) f(x) = 3{2*x2x2 + (1x)2(1x)1 }
Answer: B
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ? Answer Choice: (A) 23 years (B) 22 years (C) 67 years (D) 16 years (E) 19 years
Answer: A
City A to city B, John drove for 1 hour at 40 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? Answer Choice: (A) 57 (B) 57.5 (C) 58.2 (D) 59 (E) 55
Answer: E
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey? Answer Choice: (A) 20 kmph (B) 24 kmph (C) 50 kmph (D) 35 kmph (E) 30 kmph
Answer: B
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product? Answer Choice: (A) 12.5% (B) 13% (C) 13.15% (D) 14% (E) 15%
Answer: A
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81 : 121 (B) 81 : 127 (C) 81 : 191 (D) 81 : 161 (E) 81 : 182
Answer: A
In a certain warehouse, 30 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds? Answer Choice: (A) 8 (B) 64 (C) 24 (D) 102 (E) 144
Answer: C
A man can hit a target once in 9 shots. If he fires 4 shots in succession, how many ways that he will hit his target? Answer Choice: (A) 71/2 (B) 81/13 (C) 81/3 (D) 5/8 (E) 91/3
Answer: D
A merchant purchased a jacket for $30 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? Answer Choice: (A) $2 (B) $3 (C) $4 (D) $12 (E) $15
Answer: A
If 20 men can build a water fountain 56 metres long in 14 days, what length of a similar water fountain can be built by 35 men in 3 days? Answer Choice: (A) 21 m (B) 24 m (C) 27 m (D) 29 m (E) 30 m
Answer: A
A person travels equal distances with speeds of 8 km/hr, 9 km/hr and 10 km/hr and takes a total time of 47 minutes. The total distance is? Answer Choice: (A) 6 km (B) 3 km (C) 7 km (D) 5 km (E) 2 km
Answer: C
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? Answer Choice: (A) 18 2/71% (B) 18 2/11% (C) 18 9/11% (D) 18 2/41% (E) 2 2/11%
Answer: B
A man put diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per ltr for three successive years. What approximately is the average cost per ltr of diesel if he spends Rs. 4000 each year? Answer Choice: (A) Rs. 7.98 (B) Rs. 8.45 (C) Rs. 8.98 (D) Rs. 9.23 (E) Rs. 9.86
Answer: A
The perimeter of a rectangle is 44. The length is 5 less than double the width.
Find the dimensions Answer Choice: (A) 6 by 10 (B) 7 by 11 (C) 8 by 12 (D) 9 by 13 (E) 10 by 14
Answer: D
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer a? Answer Choice: (A) (2a-1)/(a^2- a) (B) a/2 (C) a^3 (a-1) (D) 2a-1 (E) 3a-1
Answer: A
If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is = Answer Choice: (A)  40320 (B)  21840 (C)  1680 (D)  840 (E)  240
Answer: C
The angle between the minute hand and the hour hand of a clock when the time is 8:30 Answer Choice: (A) 80 deg (B) 40 deg (C) 35 deg (D) 75 deg (E) 60 deg
Answer: D
On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,3.5). The point on line segment CD that is twice as far from C as from D is: Answer Choice: (A) (1,-1) (B) (1,1) (C) (2,0.25) (D) (3,0.5) (E) (3,1)
Answer: D
I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 72 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ? Answer Choice: (A) 8715 (B) 0152 (C) 3581 (D) 5184 (E) 9126
Answer: D
A certain bacteria colony doubles in size every day for 19 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit? Answer Choice: (A) 6.33 (B) 7.5 (C) 10 (D) 18 (E) 19
Answer: D
If the positive integer x is a multiple of 5/2 and the positive integer y is a multiple of 2, then xy must be a multiple of which of the following?
I. 1
II. 12
III. 5 Answer Choice: (A) II only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III
Answer: C
There are 30 people in anime club. 5 of the people voted to watch Case Closed that day. 10 people voted to watch Skip Beat. 3 people voted to watch My Hero Academia Academia. How many people did not vote if no one voted twice? Answer Choice: (A) 5 (B) 10 (C) 11 (D) 12 (E) 16
Answer: D
40% of a number is more than 20% of 650 by 190. Find the number? Answer Choice: (A) 337 (B) 279 (C) 800 (D) 277 (E) 771
Answer: C
Sum of three numbers 274, If the first number be twice then second and third number be one third of the first, then the second number is Answer Choice: (A) A)70 (B) B)71 (C) C)75 (D) D)73 (E) E)74
Answer: C
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 7 (B) 4 (C) 3 (D) 2 (E) 1
Answer: B
If (x/y)=(11/5), find the value (x^2+y^2)/(x^2-y^2) Answer Choice: (A) 73/48 (B) 59/11 (C) 51/77 (D) 41/11 (E) None of them
Answer: A
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 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) 22 cm (B) 47.14 cm (C) 84.92 cm (D) 94.94 cm (E) 23.57 cm
Answer: A
A bus covers a distance of 12 km in 5 min. If it takes 5 sec to pass a telegraph post, then the length of the bus is? Answer Choice: (A) 120m (B) 180m (C) 240m (D) 200m (E) 280m
Answer: D
One of the two buses completes a journey of 300 miles in 7 1/2 hours and the other journey of 450 miles in 10 hours. the ratio of their average speed is Answer Choice: (A) 2:3 (B) 4:5 (C) 3:4 (D) 8:9 (E) 5:6
Answer: D
What number comes next?
482, 693, 714, 826, 937, ? Answer Choice: (A) 113 (B) 231 (C) 245 (D) 148 (E) 123
Answer: D
A seller uses 500gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article on 10% gain on cost price? Answer Choice: (A) 32.5% (B) 37.5% (C) 35% (D) 40% (E) 75%
Answer: E
In a shower, 6 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: Answer Choice: (A) 75 cu. m (B) 900 cu. m (C) 750 cu. m (D) 9000 cu. m (E) 7.50 cu. m
Answer: B
The forth proportional to 24,8,15 is? Answer Choice: (A) 5 (B) 12 (C) 18 (D) 20 (E) 24
Answer: A
Two trains of length 220 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Answer Choice: (A) 28 (B) 266 (C) 990 (D) 25 (E) 11
Answer: D
The area of a rectangular plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot? Answer Choice: (A) 14 M (B) 20 M (C) 18 M (D) 12 M (E) 15 M
Answer: B
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 4.5), (8, 0), (0, -4.5), (-8, 0)? Answer Choice: (A) 56 (B) 72 (C) 112 (D) 116 (E) 120
Answer: B
If 40 people get the chance to pick a card from a canister that contains 5 free passes to an amusement park mixed in with 35 blank cards what is the probability that the 40th person who picks will win? Answer Choice: (A) 35/175 (B) 36/175 (C) 38/175 (D) 39/175 (E) 40/175
Answer: B
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 9}. What is the probability that the median of the set will increase but the range still remains the same? Answer Choice: (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5 (E) 0.6
Answer: E
A man buys a cycle for Rs. 1200 and sells it at a loss of 10%. What is the selling price of the cycle? Answer Choice: (A) s. 1080 (B) s. 1140 (C) s. 1090 (D) s. 1202 (E) s. 1092
Answer: A
If k and w are the dimensions of a rectangle that has area 20 and if k and w are integers such that k > w, what is the total number of possible values of k? Answer Choice: (A)  Two (B)  Three (C)  Four (D)  Five (E)  Six
Answer: B
A man complete a journey in 40 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 30 km/hr. Find the total journey in km. Answer Choice: (A) 960 km (B) 224 km (C) 230 km (D) 232 km (E) 234 km
Answer: A
Evaluate:56- 12*3*2 =? Answer Choice: (A) 42 (B) 48 (C) 62 (D) 72 (E) 82
Answer: B
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 290 m long? Answer Choice: (A) 38 sec (B) 35 sec (C) 44 sec (D) 40 sec (E) 52 sec
Answer: E
Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly. Answer Choice: (A) Rs 824.32 (B) Rs 822.32 (C) Rs 825 (D) Rs 723 (E) Rs 624.32
Answer: A
A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 1 day, B can complete the job in 2 days and C can complete the job in 5 days. How many days the company will it take to complete the job if all the machines are used simultaneously? Answer Choice: (A) 4 days (B) 4/3 days (C) 10/17 days (D) 12days (E) 14 days
Answer: C
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for xequal to: Answer Choice: (A) 0.02 (B) 0.2 (C) 0.04 (D) 0.4 (E) None
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire? Answer Choice: (A) 7 meters (B) 9 meters (C) 8 meters (D) 5 meters (E) 3 meters
Answer: E
Two sets A and B consists only of positive integers such that mean of set A is 60 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is => Answer Choice: (A) [A] 65 (B) [B] 60 (C) [C] 70 (D) [D] 55 (E) [E] cannot be determined
Answer: E
What is the least integer that is a sum of four different prime numbers each greater than 40? Answer Choice: (A) 178 (B) 180 (C) 182 (D) 184 (E) 186
Answer: D
A theater box office sold an average (arithmetic mean) of 68 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members? Answer Choice: (A) 2:3 (B) 1:4 (C) 5:6 (D) 7:11 (E) 3:7
Answer: A
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length Answer Choice: (A) 12 (B) 12.1 (C) 13 (D) 14 (E) 15
Answer: B
The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 5600 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) Rs. 4480 (B) Rs. 5275 (C) Rs. 6275 (D) Rs. 6725 (E) None of these
Answer: A
If cement, gravel and sand are to be mixed in 7:10:13 and 10 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available. Answer Choice: (A) 35 7/8 (B) 36 (C) 34 2/7 (D) 34 5/7 (E) 42 6/7
Answer: E
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2? Answer Choice: (A) Rs.45 (B) Rs.78 (C) Rs.44 (D) Rs.40 (E) Rs.55
Answer: C
When d is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when d + y is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
(1.2)(power 3) - (0.9)(power 3)/ (1.2)(power 2) + 1.08+ (0.9)(power 2) is: Answer Choice: (A) 0.68 (B) 0.6 (C) 0.8 (D) 0.3 (E) None of them
Answer: D
The mean of (54,823)^2 and (54,825)^2 = Answer Choice: (A) (54,821)^2 (B) (54,821.5)^2 (C) (54,820.5)^2 (D) (54,824)^2 + 1 (E) (54,821)^2 – 1
Answer: D
The product of the prime integers between 23 and 30, inclusive, is: Answer Choice: (A) 50! – 40! (B) 99,029 (C) 2,303 (D) 2,021 (E) 667
Answer: E
Find the total no of divisors of 1728 (including 1 and 1728) Answer Choice: (A) 33 (B) 28 (C) 99 (D) 27 (E) 18
Answer: B
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, -3)? Answer Choice: (A) 7.5 (B) 7 (C) 6.5 (D) 6 (E) 5.5
Answer: D
How many numbers are divisible by 4 between 1 and 100? Answer Choice: (A) 25 (B) 24 (C) 23 (D) 22 (E) 20
Answer: B
The function f is defined for each positive three-digit integer n by f(n)=2x3y5zf(n)=2x3y5z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9f(v), them m-v=? Answer Choice: (A) 8 (B) 9 (C) 18 (D) 20 (E) 80
Answer: D
How many different possible arrangements Z can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's? Answer Choice: (A) 360 (B) 720 (C) 900 (D) 1800 (E) 5040
Answer: C
How many ways can 3 friends be arranged around a circular dinner table? Answer Choice: (A) A)16 (B) B)2 (C) C)96 (D) D)120 (E) E)720
Answer: B
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.35 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.40 In what ratio should he mix the water and milk? Answer Choice: (A) 1:20 (B) 1:10 (C) 1:8 (D) 1:4 (E) 6:11
Answer: A
If x and y are positive integers, and x^3*y^4 = 16,000 which of the following is the value of xy? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 16 (E) 20
Answer: E
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes? Answer Choice: (A) 150,287 (B) 150,219 (C) 150,200 (D) 150,298 (E) 150,217
Answer: C
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is? Answer Choice: (A) 1:8 (B) 1:6 (C) 1:9 (D) 1:3 (E) 1:4
Answer: C
The greatest possible length which can be used to measure exactly the length 8m ,2m 15cm, 8m 90 cm is? Answer Choice: (A) 25cm (B) 101cm (C) 56cm (D) 42cm (E) 5cm
Answer: E
The probability that B can shoot a target two out of two times is 0.45. What is the probability that the target will be missed by B immediately after such two shots? Answer Choice: (A) 0.25 (B) 0.5 (C) 0.55 (D) 0.4 (E) 0.8
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 3 days, then the fraction of the work that is left is Answer Choice: (A) 8/17 (B) 7/15 (C) 3/15 (D) 8/15 (E) 13/20
Answer: E
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/4 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ? Answer Choice: (A) x + 2000 = 1/3*(x - 3000) (B) 1/3*(x - 3000) = x (C) x + 3000 = 1/3*x (D) x - 7000 = 1/3*x (E) x - 3000 = 1/4*x
Answer: E
The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers Answer Choice: (A) 9 (B) 10 (C) 16 (D) 17 (E) 20
Answer: D
If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new number is : Answer Choice: (A) 30 (B) 40 (C) 70 (D) 90 (E) 80
Answer: B
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? Answer Choice: (A) 270 (B) 227 (C) 268 (D) 198 (E) 176
Answer: A
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Q needed to confirm that each of the 5 keys matches each of the 5 locks? Answer Choice: (A) 5,15 (B) 4,15 (C) 5,10 (D) 4,10 (E) 5,20
Answer: D
In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: C
In one hour a boat goes 18 km long the stream and 14 km against the stream.The speed of the boat in still water is? Answer Choice: (A) 17 (B) 18 (C) 16 (D) 15 (E) 11
Answer: C
A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is? Answer Choice: (A) 33.5 (B) 33.4 (C) 33.3 (D) 33.1 (E) 33.7
Answer: C
If a·b·c·d=270, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a? Answer Choice: (A) 7 (B) 10 (C) 11 (D) 13 (E) 15
Answer: A
Seven unbiased coin are tossed. What is the probability of getting almost
one head? Answer Choice: (A) 1/2 (B) 1/4 (C) 127/128 (D) 127/5 (E) 127/6
Answer: C
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Answer Choice: (A) 11 1/7 (B) 11 1/4 (C) 11 8/4 (D) 11 9/4 (E) 11 3/4
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 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) 444 km (B) 400 km (C) 450 km (D) 500 km (E) 550 km
Answer: A
If q and r are even integers, which of the following is an odd integer? Answer Choice: (A) qr + 2 (B) q(r − 1) (C) q(q + 5) (D) 3q + 4r (E) (q + 3)(r − 1)
Answer: E
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Answer Choice: (A) 2 (B) 4 (C) 5 (D) 67 (E) 9
Answer: B
A tap can fill a tank in 4 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? Answer Choice: (A) 2 hr (B) 2 hr 30 min (C) 2 hr 50 min (D) 2 hr 20 min (E) 1 hr 30 min
Answer: B
Jony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:40. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Jony's speed in meters per minute? Answer Choice: (A) 88 (B) 100 (C) 198 (D) 216 (E) 252
Answer: B