Unit-5: Mathematical Reasoning & Aptitude

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Analogy SET-1

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1 / 10

1. Directions : Select the related word/letter/ number/figure from the given alternatives.

Warm: Hot

2 / 10

2. Directions : Select the related word/letter/ number/figure from the given alternatives.

Gum : Stick

3 / 10

3. Directions : Select the related word/letter/ number/figure from the given alternatives.

Secretary: Shorthand

4 / 10

4. Directions : Select the related word/letter/ number/figure from the given alternatives.

Bird: Fly :: Snake: ?

5 / 10

5. Directions : Select the related word/letter/ number/figure from the given alternatives.

Buffalo : Milk :: Hen:?

6 / 10

6. Directions : Select the related word/letter/ number/figure from the given alternatives.

Ship: Sea:: Camel : ?

7 / 10

7. Directions : Select the related word/letter/ number/figure from the given alternatives.

Peat: Lignite :: Bituminous:?

8 / 10

8. Directions : Select the related word/letter/ number/figure from the given alternatives.

Tea : Leaves :: Coffee 😕

9 / 10

9. Directions : Select the related word/letter/ number/figure from the given alternatives.

Deep : Shallow :: Sharp: ?

10 / 10

10. Directions : Select the related word/letter/ number/figure from the given alternatives.

Poet: Poem :: Choreographer : ?

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Blood Relation SET-1

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1 / 10

1. In a family, there are six members, A, B, C, D, E and F. A and B are a married couple, A being the male member, D is the only son of C who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.

How is E related to C?

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2. P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?

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3. If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

4 / 10

4. If P $ Q means P is the brother of Q; P # Q means P is the mother of Q; P * Q means P is the daughter of Q in A # B $ C * D, who is the father?

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5. Veena who is the sister-in-law of Ashok, is the daughter-in-law of Kalyani. Dheeraj is the father of Sudeep who is the only brother of Ashok. How Kalyani is related to Ashok?

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6. Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?

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7. Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?

8 / 10

8. If A + B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B. Which of the following means M is the uncle of P?

9 / 10

9. Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?

10 / 10

10. A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?

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Analogy SET-2

Please read the question carefully before attempt it.

1 / 10

1. Directions : Select the related word/letter/ number/figure from the given alternatives.

'Sugarcane' is related to Juice in the same way as "Mustard' is related to

2 / 10

2. Directions : Select the related word/letter/ number/figure from the given alternatives.

Brain: Kidney

3 / 10

3. Directions : Select the related word/letter/ number/figure from the given alternatives

Nose : Face

4 / 10

4. Directions : Select the related word/letter/ number/figure from the given alternatives.

Adult: Baby :: Flower : ?

5 / 10

5. Directions : Select the related word/letter/ number/figure from the given alternatives.

Good: Bad :: Virtue: ?

6 / 10

6. Directions : Select the related word/letter/ number/figure from the given alternatives

Taka : Bangladesh :: Lira 😕

7 / 10

7. Directions : Select the related word/letter/ number/figure from the given alternatives.

Engineer: Machine :: Doctor: ?

8 / 10

8. Directions : Select the related word/letter/ number/figure from the given alternatives.

Pyramid: Egypt::Eiffel Tower:?

9 / 10

9. Directions : Select the related word/letter/ number/figure from the given alternatives.

Rayon: Synthetic Fibre :: Polythene:?

10 / 10

10. Directions : Select the related word/letter/ number/figure from the given alternatives.

Ocean : Water :: Glacier 😕

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The average score is 53%

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Time & Distance Set-1

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1 / 10

1. A man walking at 3km/hr crosses a square field diagonally in 2 minutes. The area of the field is :

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2. A star is 8.1 x 1013 km away from the earth. Suppose light travels at the speed of 3.0 x 105 km per second. How long will it take light from star to reach the earth?

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3. The speeds of three cars are in the ratio 2:3 : 4. The ratio of the times taken by these cars to travel the same distance is

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4. If you travel 39 km at a speed of 26 km/h, another 39 km at a speed of 39 km/h and again 39 km at a speed 52 km/h, what is your average speed for the entire journey?

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5. Sunil covers a distance by walking for 6 hours. While returning his speed decreases by 1 km/hr and he takes 9 hours to cover the same distance. What was his speed in return journey?

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6. A walks at a uniform rate of 4 km an hour and 4 hours after his start, B cycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A?

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7. Two trains start from stations A and B and travel towards each other at 50 km/hr and 60 km/hr respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is :

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8. By how much per cent must a motorist increase his speed in order to reduce the time by 20%, taken to cover a certain distance?

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9. A constable is 114 m behind a thief. The constable runs 21 m and the thief 15 m  in a minute. In what time will the constable catch the thief ?

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10. A thief steals a car at 1.30 pm, and drives it at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at:

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Time & Distance Set-2

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1 / 10

1. The distance between two stations A and B is 220 km. A train leaves A towards B at 80 km/hr. After half an hour, another train leaves B towards A at 100 km/hr. The distance of the point where the two trains meet, from A is

2 / 10

2. SwÄ—ta jogs 9 km at a speed of 6 km/hr. At what speed would she need to travel during the next 1.5 hours to have an average speed of 9 km/hr for the entire jogging session ?

3 / 10

3. Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has travelled 60 km more than the other. The distance bet the two stations is

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4. X and Y are two stations 500 km apart. A train starts from X and moves towards Y at 20 km/hr. Another train starts from Y at the same time and moves towards X at 30 km/hr. How far from X will they cross each other!

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5. The ratio between the rates of walking of A and B is 2:3. If the time taken by B to cover a certain distance is 36 minutes, the time taken by A to cover that much distance is

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6. 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 whole journey is :

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7. A car covers four successive 3 km stretches at 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr respectively. Its average speed over this distance is:

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8. Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour ?

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9. A train covers a distance in 50 minutes, if it runs at a speed of 48 km/hr on an average. The speed at which the train must run to reduce the time of journey to 40 minutes, will be :

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10. A train travelled distances of 10 km, 20 km and 30 km at speeds of 50 km/hr. 60 km/hr and 90 km/hr respectively. The average speed of the train was

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Time & Distance Set-3

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1 / 10

1. A train leaves Manipur at 6 am and reaches Dispur at 10 am. Another train leaves Dispur at 8 am reaches Manipur at 11:30 am. At what time do the two trains cross each other.

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2. An express train travelled at an average speed of 100 km/h, stopping for 3 min after every 75 km. A local train travelled at a speed of 50 km/h, stopping for 1 min after every 25 km. If the trains began travelling at the same time, How many kilometres did the local train travel in the time in which the express train travel 600 km?

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3. A and B are two stations 1000 km apart. A train starts from  A and  moves towards B at 40 km/h. Another train starts from B at the same time and moves  towards A at 60 km/h How far from A will they cross each other?

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4. X and Y start walking towards each other at 8 am at the speeds of 3 km/h and 4 km/h, respectively. They were initially 17.5 km apart. At what time do they meet?

5 / 10

5. A certain distance is covered by cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is

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6. A person goes from one point to another point with a speed of 5 km/h and comes back to starting point with a speed of 3 km/h. Find the average speed for the whole journey

7 / 10

7. A train travels at the rate of 50km/h without stoppages and it travels at 40 km/h with stoppages. How many minutes does the train stop on an average per hour?

8 / 10

8. A bus travels at the rate of 54 km/h without stoppages and it travels 45 km/h with stoppages. How many minutes does the bus stop on an average per hour?

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9. A bus covers a certain distance in 16 h. It covers half the Distance at 40 km/h and the rest at 60 km/h. find the length of the journey

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10. The ratio between rates of travelling of A and B   in 2:3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at doubled the speed, how long would he have taken to cover the distance?

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Percentage Set-1

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1 / 10

1. The price of petrol is increased by 25%. By how much percent a car owner should reduce his consumption of petrol so that the expenditure on petrol would not be increased?

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2. The ratio of the number of boys and girls is 3:2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students who do not get scholarship, is:

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3. In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is :

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4. A reduction of 20% in the price of sugar enables a purchaser to obtain 3 kg  more for Rs 120. The original price of sugar per kg is

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5. % of income of A is equal to 15% of income of B and 10% of income of B is equal to 20% of income of C. If the income of C is Rs 2000, what is the total income of A, B and C?

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6. The length of a rectangle is increased by 10% and breadth decreased by 10%.Then, the area of new rectangle is

7 / 10

7. A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing ?

8 / 10

8. Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio :

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9. A and B are two fixed points 5 cm apart and C is a point on AB such that AC = 3 cm. If the length of AC is increased by 6%, the length of CB is decreased by :

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10. Out of 100 students, 50 failed in English and 30 in Mathematics. If 12 students fail in both English and Mathematics, then the number of students who passed in both the subjects is

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Percentage Set-2

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1 . Out of an earning of Rs 720 Ram spends 65%. How much does he save?

2 / 10

2. In 50 gm alloy of gold and silver, the gold is 80% by weight. How much gold should be mixed to this alloy so that the weight of gold would become 95% ?

3 / 10

3. When a number is first increased by 10% and then reduced by 10%, the number

4 / 10

4. In a school, 40% of the students play football and 50% play cricket. If 18% of the students play neither football nor cricket, the percentage of students playing both is

5 / 10

5. If the price of eraser is reduced by 25%, a person can buy 2 more erasers for a rupee. How many erasers are available for a rupee ?

6 / 10

6. The price of sugar is increased by 20%. If the expenditure is not allowed to Increase, the ratio between the reduction in consumption and the original consumption is

7 / 10

7. If the side of a square is increased by 25%, then its area is increased by:

8 / 10

8. In measuring the sides of a rectangle errors of 5% and 3% in excess are made. The error percent in the calculated area is

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9. From the salary of a worker, 10% is deducted as house rent, 15% of the rest he spends on children's education and 10% of the balance, he spends on  clothes. After this expenditure, he is left with Rs 1377. His salary is

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10. Water tax is incrongod by 20% and its consumption is decreased by 20% the increase or decrease in the expenditure is :

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Percentage Set-3

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1 / 10

1. After reducing the salary of a man by 50%, it is increased by 50%. The loss is

2 / 10

2. A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25% ?

3 / 10

3. Fresh grapes contain 80% water while dry grapes contain 10% water. If the weight of dry grapes is 250 kg, what was its total weight when it was fresh ?

4 / 10

4. The quantity of water that should be added to reduce 9 ml lotion containing   50% alcohol to a lotion containing 30% alcohol, is

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5. The wheat sold by a grocer contains 10% low quality wheat. What quantity of good quality wheat should be added to 150 kg of wheat so that the percentage of low quality wheat becomes 5% ?

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6. Of the 1000 inhabitants of a town. 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate, then what percent of the females  of the town are literate ?

7 / 10

7. The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, then the numbers are :

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8. It costs Re 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to photocopy 5000 sheets of paper ?

9 / 10

9. A number is first increased by 20% and then reduced by 20%. What would be  the percentage change in the number?

10 / 10

10. When the price of fans was reduced by 20%, the number of fans sold is Increased by 40%. What was the effect on the sales in rupees?

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Profit & Loss Set-1

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1 / 10

1. The cost price of two dozen bananas is Rs 32. After selling 18 bananas at Rs 12 per dozen, the shopkeeper reduced the rate as Rs 4 per dozen. The loss percent is: -

2 / 10

2. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20% ?

3 / 10

3. If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs 1265 is :

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4. By selling a tape-recorder for Rs 950, I lose 5%. What percent shall I gain by selling it for Rs 1040 ?

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5. On selling an article for Rs 19.50, a man gains 30%. In order to gain 40%, what will be the increase in its selling price?

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6. On selling an article at a certain price, a man gains 10%. On selling the same article at double the price, gain percent is :

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7. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is

8 / 10

8. A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs 10 less, then he would have gained 40%. The cost price of the pair of sunglasses is:

9 / 10

9. The profit earned after selling an article for Rs 625 is the same as loss incurred after selling the article for Rs 435. The cost price of the article

10 / 10

10. A sold a watch to B at 20% gain and B sold it to C at a loss of 10%. If C bough the watch for Rs 216, at what price did A purchase it?

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Set - 11

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