**Aptitude Questions and Answers**

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**Aptitude Questions and Answers**

Ques 1) Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

- 173 m
- 200 m
- 273 m
- 300 m

Answer: Option 3

Ques 2) A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

- 43 units
- 8 units
- 12 units
- Data inadequate
- None of these

Answer: Option 4

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Ques 3) The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

- 3 m
- 6 m
- 8 m
- 2 m

Answer: Option 4

Ques 4) An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

- 6 m
- 2 m
- 72 m
- None of these

Answer: Option 1

Ques 5) From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:

- 149 m
- 156 m
- 173 m
- 200 m

Answer: Option 3

Ques 6) A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

- 6
- 2
- 4
- 10

Answer: Option 2

Ques 7) An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

- 300 kmph
- 360 kmph
- 600 kmph
- 720 kmph

Answer: Option 4

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Ques 8) If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

- 50 km
- 56 km
- 70 km
- 80 km

Answer: Option 1

Ques 9) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

- 100 kmph
- 110 kmph
- 120 kmph
- 130 kmph

Answer: Option 3

Ques 10) Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

- 9
- 10
- 12
- 20

Answer: Option 2

Ques 11) If one-third of one-fourth of a number is 15, then three-tenth of that number is:

- 35
- 36
- 45
- 54

Answer: Option 4

Ques 12) Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

- 9
- 11
- 13
- 15

Answer: Option 4

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Ques 13) The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

- 3
- 4
- 9
- Cannot be determined
- None of these

Answer: Option 2

Ques 14) The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

- 4
- 8
- 16
- None of these

Answer: Option 2

Ques 15) A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

- 18
- 24
- 42
- 81

Answer: Option 2

Ques 16) Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

- 169.50
- 170
- 175.50
- 180

Answer: Option 3

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Ques 17) A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

- 4 litres, 8 litres
- 6 litres, 6 litres
- 5 litres, 7 litres
- 7 litres, 5 litres

Answer: Option 2

Ques 18) In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

- 3 : 7
- 5 : 7
- 7 : 3
- 7 : 5

Answer: Option 3

Ques 19) 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 ?

- 45
- 60
- 75
- 90

Answer: Option 4

Ques 20) There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

- 20
- 80
- 100
- 200

Answer: Option 3

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Ques-21 A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

- 120 metres
- 180 metres
- 324 metres
- 150 metres

Ans: Option 4

Ques-22 A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

- 45 km/hr
- 50 km/hr
- 54 km/hr
- 55 km/hr

Ans: Option 2

Ques-23: 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?

- 35
- 40
- 45
- 50

Ans: Option 2

Ques-24: A, B and C can do a piece of work in 20, 30 and 60 days respectively, In how many days can A do the work if he is assisted by B and C on every third day?

- 12 days
- 15 days
- 16 days
- 18 days

Ans: Option 2

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Ques-25: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

- 15
- 16
- 18
- 25

Ans: Option 2

Ques-26: 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?

- 30%
- 70%
- 100%
- 250%

Ans: Option 2

Ques-27: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

- 3
- 4
- 5
- 6

Ans: Option 3

Ques-28: A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was:

- 14 years
- 19 years
- 33 years
- 38 years

Ans: Option 1

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Ques-29: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

- 24
- 27
- 40
- Cannot be determined

Ans: Option 1

Ques-30: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

- 25
- 5
- 75
- 7

Ans: Option 1

Ques-31: The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?

- 2010
- 2011
- 2012
- 2013

Ans: Option 2

Ques-32: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

- 20
- 80
- 100
- 200

Ans: Option 3

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Ques-33: If a – b = 3 and a2 + b2 = 29, find the value of ab.

- 10
- 12
- 15
- 18

Ans: Option 1

Ques-34: The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

- 20
- 23
- 169
- None of these

Ans: Option 2

Ques-35: The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

- 3 : 3 : 10
- 10 : 11 : 20
- 23 : 33 : 60
- Cannot be determined

Ans: Option 3

Ques-36: A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A’s share in this profit is:

- 330
- 360
- 380
- 430

Ans: Option 1

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Ques-37 If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

- 50 km
- 56 km
- 70 km
- 80 km

Ans. Option 1

Ques-38 A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

- 6
- 2
- 4
- 10

Ans Option 2

Ques-39 A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

- 588 apples
- 600 apples
- 672 apples
- 700 apples

Ans. Option 4

Ques- 40 Excluding stoppages, the speed of a bus are 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

- 9
- 10
- 12
- 20

Ans. Option 2

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