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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

Q:

Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?

A) 1:√3 B) 1:3
C) 1:2 D) 1:2√3
 
Answer & Explanation Answer: B) 1:3

Explanation:

Let the side of regular hexagon be ‘a’

Let height of the tower 1 be h1 and tower 2 be h2

Height of tower 1 = h1 = (distance between A and B)* (tan 30o)= a.1/√3

Distance between A and C = 2*√3.a/2= √3a

Height of tower 2 = h2 = (distance between A and C)* (tan 45o) = √3a.1 = √3a

Ratio of height of towers at B and C respectively =a/√3/√3a = 1/3.

 

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No error'.
He did not go (1)/ to the temple on foot (2)/ he went there by the car. (3)/ No Error (4)

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

Company 1 sold 20000 bikes each year from 2011 to 2016 and company 2 sold 10000 bikes each year from 2011 to 2016. What is the difference (in units) in average yearly production of company 1 and 2?

A) 6733.33 B) 7500
C) 8666.66 D) 9333.33
 
Answer & Explanation Answer: D) 9333.33

Explanation:
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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

The production of company 1 in year 2014 is 18000 and sales of company 2 in year 2012 is 15000. What is the ratio of difference in sales and production of company 1 in year 2014 and company 2 in year 2012?

A) 8 : 15 B) 7 : 16
C) 9 : 11 D) 3 : 8
 
Answer & Explanation Answer: A) 8 : 15

Explanation:
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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

The production of company 2 in year 2012 is 30000. If sales of company 2 in year 2012 and 2013 is same, then what was its production (in units) in year 2013?

A) 100000 B) 16000
C) 30000 D) 20000
 
Answer & Explanation Answer: B) 16000

Explanation:
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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

The line chart given below shows the ratio of production of sales of two bike-manufacturing firms over the period of 6 years.

If the sales of company 1 in year 2015 was 50000 units, then what was its production (in units) in year 2015?

A) 38460 B) 45000
C) 52000 D) 65000
 
Answer & Explanation Answer: D) 65000

Explanation:
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Filed Under: Line Charts
Exam Prep: Bank Exams

Q:

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?

A) 3 B) 4.5
C) 6 D) 6.5
 
Answer & Explanation Answer: C) 6

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams