Bank Exams Questions

Q:

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A) 42.2 mts B) 33.45 mts
C) 66.6 mts D) 58.78 mts
 
Answer & Explanation Answer: C) 66.6 mts

Explanation:

ht1488353450.jpg image

From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

A) 4% p.a. B) 6% p.a.
C) 8% p.a. D) 12% p.a.
 
Answer & Explanation Answer: D) 12% p.a.

Explanation:

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12%

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Filed Under: Profit and Loss
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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2% B) 4%
C) 3% D) 2.5%
 
Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = 100100+P×SP= 5000/6 = 2500/3


SP of second article = 1000

Loss = 20%

CP = 100100-L×SP= 5000/4 = 1250


Total SP = 2000

Total CP = 25003+ 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3


Loss Percent =250362503×100= 4%

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube  ?

A) 15 m B) 4 m
C) 6 m D) 9 m
 
Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

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Filed Under: Area
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Q:

Eric is the son of Tom who is the brother of Jerry who is the daughter of Sin. Doremon is the sister of Popoy who is son of Chain. Ivanka is the daughter of Popoy who is the husband of Jerry. Sin is the male person and Chain is the female person.

How is Ivanka related to Eric ?

A) Cousin sister B) Nephew
C) Niece D) Daughter
 
Answer & Explanation Answer: A) Cousin sister

Explanation:

Since Eric's father and Ivanka's mother are Brother and sister, 

=> Ivanka is Eric's Aunt Daughter => Cousin Sister. 

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Filed Under: Blood Relations
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Q:

A and B can do a piece of work for Rs 1540. Find the difference between the wages of C and B for the same work If A can do the work in 12 days and B can do the same work in 8 days and with the help of C, A and B can do the same work in 2 days?

A) 980 B) 1232
C) 810 D) 1121
 
Answer & Explanation Answer: B) 1232

Explanation:

From the given data,


                       Day      Capacity

A              ->    12          2

B              ->     8           3             2

A + B + C ->     2            12

=> Capacity of C = 12 - 5 = 7

Ratio of capacity of A : B : C = 2 : 3 : 7

Difference of wages of C & B = 4/5 x 1540

= 4 x 308 = Rs. 1232

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Filed Under: Time and Work
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Q:

India’s first and longest sea ropeway will be built between which places, as announced on 24 April 2017  ?

A) Mumbai & Elephanta Island B) Vizag & Andaman
C) Goa & Andaman D) None
 
Answer & Explanation Answer: A) Mumbai & Elephanta Island

Explanation:

India’s first and longest ropeway to connect Mumbai with the famous Elephanta Island in the Arabian Sea is planned to be constructed by the Mumbai Port Trust, according to the official report.

 The 8-km ropeway will begin from Sewri in Mumbai’s east coast and end at Raigad district’s Elephanta Island, globally renowned for Elephanta Caves, a UNESCO World Heritage site.

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Filed Under: Longest, Shortest, Deepest
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Q:

A man is facing towards the east. He turns 270 degrees clockwise and then takes a right turn. Finally, he turns 90 degrees anticlockwise. Which direction is he facing now?

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

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

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