Aptitude and Reasoning Questions

Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Sanmitra walked 8 m towards the north. He turned to his right and walked 16m , then he turned to his left and walked 5 m and again he turned to his left and walked 16 m. In which direction is he from his starting point ?

A) South B) East
C) North D) West
 
Answer & Explanation Answer: C) North

Explanation:
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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

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Q:

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

A) 910 B) 1820
C) 455 D) 2730
 
Answer & Explanation Answer: A) 910

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960 B) 1000
C) 1060 D) 100
 
Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

 

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A) 16.25 B) 19.25
C) 18.25 D) 17.25
 
Answer & Explanation Answer: B) 19.25

Explanation:

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Filed Under: Area

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Q:

How many black cards are in a deck?

A) 13 B) 26
C) 39 D) 52
 
Answer & Explanation Answer: B) 26

Explanation:

The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits.

Red suits :: Heart suit and Diamond suit = 26

Black suits :: Spade suit and Club suit = 26.

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Q:

A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?

A) 40/3, 40 B) 20/3, 20
C) 30, 20/3 D) 50/3, 25
 
Answer & Explanation Answer: A) 40/3, 40

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question : 

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

A) Only 3 B) Both 2 & 3
C) Any two of (1, 2 & 3) D) None
 
Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

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Filed Under: Statement and Conclusions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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