# Learn Aptitude

## Topic: All about Aptitude

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In how many ways, a committee of 5 members can be selected from6 men and 5 ladies, consisting of 3 men and 2 ladies?

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:A.10 B.18C.36 D.72

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?A.10 B.12C.15 D.20

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?A.23 m B.24mC.250/9m D.29 m

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform isA.400 m B.450 mC.560 m D.600 m

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?A.9 a.m. B.10 a.m.C.10.30 a.m. D.11 a.m.

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:A.2 : 3 B.4 : 3C.6 : 7 D.9 : 16

A train 280m long, running with a speed of 63kmhr will pass a pole in:

A train is moving at speed of 132kmph. If the length of the train is110 meters, how long will it take to cross a railway platform 165 m long?

In what time will a train 100 meres long cross an electric pole, if its speed is 144 km/hr?2.5 seconds 4.25 seconds 5 seconds 12.5 seconds

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?40 sec 42 sec 45 sec 48 sec

Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.A.12 sec B.24 secC.48 sec D.60 sec

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?A.25 B.30C.40 D.45

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?A.69.5 km/hr B.70 km/hrC.79 km/hr D.79.2 km/hr

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:A.50 m B.150 mC.200 m D.Data inadequate

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:A.1 : 3 B.3 : 2C.3 : 4 D.None of these

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?A.120 m B.240 mC.300 m D.None of these

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:A.50 m B.72 mC.80 m D.82 m

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?A.40 sec B.42 secC.45 sec D.48 sec

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:A.36 B.45C.48 D.49

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?A.3.6 sec B.18 secC.36 sec D.72 sec

A bookseller sells a particular novel at 10% discount on the labelled price. Also he is sogenerous that he gives a free book for every 15 books for wholesale buyers. In thistransaction his gain is 35%. Then find the ratio of Ratio of Labelled Price to the actual CP.

A 270 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?A.230 m B.240 mC.260 m D.320 m

A cake seller sells one cake at a profit of 10% and sells another at a loss of 5%. Let theratio of the CPs of the cakes is 2:3 respectively. Find his net profit or loss percentage

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?A.230 m B.240 mC.260 m D.270 m

The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35years. The ratio of their ages after 4 years will be:(i) 7:12(ii) 5:12(iii) 38:43(iv) 42:47

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:A.30 km/hr B.45 km/hrC.60 km/hr D.75 km/hr

A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank isalready half full and both the taps are opened together, the tank will be:(i) filled in 12 min(ii) emptied in 12 min(iii) filled in 8 min(iv) emptied in 8 min

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:A.9 B.9.6C.10 D.10.8

A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75minutes to row to a place and back. How far is the place?(i) 3km(ii) 2.5 km(iii) 4 km(iv) 5 km

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?A.5 sec B.6 secC.7 sec D.10 sec

729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to beadded to get a new mixture containing half milk and half water?(i) 79 ml(ii) 81 ml(iii) 72 ml(iv) 91 ml

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:A.130 B.360C.500 D.540

If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319?(i)0.3396(ii)0.3369(iii)0.3368(iv)0.3338

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?A.320 m B.350 mC.650 m D.Data inadequate

A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there?(i)36(ii)114(iii)120(iv)50

An express train traveled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km.. How long did it take to reach its destination 600 km from the starting point?6 hrs 21min 6 hrs 24 min 6 hrs 27 min 6 hrs 30 min

In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?

A train 120 m long crosses a standing man in 15 seconds. The speed of the train is:

Difference between Bholu's and Molu's age is 2 years and the difference betweenMolu's and Kolu's age is 5 years. What is the maximum possible value of the sum of thedifference in their ages, taken two at a time?

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?A.30% B.70%C.100% D.250%

How many even integers n, where, are divisible neither by seven nor by nine?

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:A.Rs. 45 B.Rs. 50C.Rs. 55 D.Rs. 60

Lucia is a wonderful grandmother. Her age is between 50 and 70.Each of her sons hasas many sons as they have brothers. Their combined number gives Lucia’s age. What is the age?

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?A.Rs. 21,000 B.Rs. 22,500C.Rs. 25,300 D.Rs. 25,800

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?(i) 1:1(ii) 2:3(iii) 1:2(iv) 3:2

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36per kg and sells the mixture at Rs. 30 per kg. His profit percent is:A.No profit, no loss B.5%C.8% D.10%E.None of these

In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute,for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?a) 20 minb) 15 minc) 10 mind) 5 min

P can complete a work in 12 days working 8 hours a day,Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work? A. 5x5/11 B. 5x6/11 C. 6x5/11 D. 6x6/11

Dealer sold a radio at a loss of 2.5 %. Had he sold for Rs. 100 more, he would have gained 7 %.In order to gain 12 %, he should sell it for:a) 850b) 1080c) 925d) 1120

A,B, and C can complete a piece of work in 24,6 and 12 days respectively. Working together , they will complete the same work in A. 1/24 day B. 7/24 day C. 3x3/7 days D. 4 days

A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is?a)6.2%b)5.3%c)3.9%

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in A. 9x1/5 days B. 9x2/5 days C. 9x3/5 days D. 10 days

It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?a)27 daysb)30 daysc)25 days

Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take both A and B, working together but indepently, to do the same job? A. 2x4/9 B. 4x4/9 C. 5x4/9 D. 4x2/9

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:A. 8.5 km/hr B. 9 km/hrC. 10 km/hr D. 12.5 km/hr

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work? A. 10 days B. 11 days C. 15 days D. 20 days

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:A. 4 B. 5C. 6 D. 10

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is A. 1/4 B. 1/10 C. 7/15 D. 8/15

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?A. 2.4 km B. 2.5 kmC. 3 km D. 3.6 km

A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days. in how many days can b alone complete that work? A. 1/3 days B. 1/6 days C. 1/9 days D. 1/12 days

A boat covers a certain distance downstream in 1 hour, while it comes back in 3/2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?A. 12 kmph B. 13 kmphC. 14 kmph D. 15 kmphE. None of these

A and B together can do a piece of work in 30 days.A having worked for 16 days, B finishes the remaining work in 44 days. In how many days shall B finish the whole work alone? A. 30 days B. 40 days C. 60 days D. 70 days

A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:A. 1 km/hr B. 1.5 km/hrC. 2 km/hr D. 2.5 km/hr

A and B undertake to do a piece of workfor Rs 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they can finish it in 3 days, Find the share of each?

IF a man rows at 6kmph is still water and 4:5kmph against the current, then his along the current is :

A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?

Speed of a boat in standing water is 9kmph and the speed of thestream is 1:5kmph. A man rows to a place at a distance of 10.5 km and comes back to the starting point. The total time taken by him is

One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men & 3 women can do it in 120 hours. 5 Men & 12 boys can do it in how many hours?(A) 39 1/11 hrs (B) 42 7/11 hrs ( C) 43 7/11 days (D) 44hrs

A boat covers 24km upstream and 36km downstream in 6 hours whileit cover 35km upstream and 24km downstream in 6 ½ hours. Th velocity of the current is

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?(A) 35 days (B) 40 days ( C) 45 days (D) 50 days

The speed of a boat in still water is 15km/hr and the rate of current is3 km/hr. the distance traveled downstream in 12 minutes is

Twenty-four men can complete a work in 16 days. Thirty- two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for 12 days. Howmany more men are to be added to complete the remaining work in 2 days?(A) 16 men (B) 24 men ( C) 36 men (D) 48 men

A man can row 5kmph in still water. If the river is running at 1kmph,it makes him 75minutes to row to a place and back. How far is the place?

Sixteen men can complete a work in twelve days. Twenty four children can complete the same work in 18 days. 12 men and 8 children started working and after eight days three more childrenjoined them. How many days will they now take to complete the remaining work?(A) 2 days (B) 4 days ( C) 6 days (D) 8 days

There is road besides a river. Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return to place A?a. Both b. Boater c. Cyclist d. None of these

A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and Band C together 8/23 of the work. What amount should A be paid? A. Rs.315 B. Rs.345 C. Rs.355 D. Rs.375

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance funning downstream. What is the ratio between the speed of the boat and speed of the water current respectively?a. 2 : 1 b. 3 : 2 c. 8 : 3 d. None of these

X and Y can do a piece of work n 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of work. How long did the work last?

A man can row at 5 km/hr in still water. If the velocity of current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then A,B and C together can do the work in:

A motorboat, whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work n 23 days. Thenumber of days after which A left the work was

Find the least number which when divided by 35, leaves remainder 25; when divided by 45, leaves remainder 35 and when divided by 55, leaves remainder 45.

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially? A. 10 B. 20 C. 21 D. 25

There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.What is the probability that they don't collide?

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? A. 1 / 3 B. 1 / 4 C. 1 / 5 D. 1 / 7

What is the smallest number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6 and so on until when divided by 2 leaves a remainder of 1?

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ? A. 18 litres B. 24 litres C. 32 litres D. 42 litres

What is the remainder left after dividing 1! + 2! + 3! +...... +.........¦ + 100! By 7?

In what ratio must a grocer mix two varieties of pulsescosting Rs 15 and Rs 20 per Kg respectively so as to geta mixture worth Rs 16.50 per Kg?

A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point? A. 6 hrs 21 min B. 6 hrs 24 min C. 6 hrs 27 min D. 6 hrs 30 min

Which of the following has most number of divisors?a. 99 b. 101 c. 176 d. 182

Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper? A. 2197 ft B. 2420 ft C. 2500 ft D. 2629 ft

If one-third of one-fourth of a number is 15, then three-tenth of thatnumber is:a. 35 b. 36 c. 45 d. 54

The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours? A. 456 kms B. 482 kms C. 552 kms D. 556 kms

9548 + 7314 = 8362 + ?a. 8230 b. 8410 c. 8500 d.8600

A person croses a 600 m long street in 5 minutes. What is his speed in km per hour? A. 3.6 B. 7.2 C. 8.4 D. 10

Find the number which when multiplied by 15 increased by 196.a. 14 b. 20 c. 26 d. 28