Quantitative Aptitude - Arithmetic Ability Questions

Q:

From a pack of 52 cards, 3 cards are drawn together atrandom, What is the probability of both the cards are king?

A) 1/5225 B) 1/5525
C) 5525 D) 1/525
 
Answer & Explanation Answer: B) 1/5525

Explanation:

n(S) = 52C3 = 132600/6 = 22100

n(E) = 4C3 = 24/6 = 4

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Q:

If cotA + cotB = x, then value of x is

A) (cotAcotB + 1)/(cotB - cotA) B) (cotAcotB + 1)/(cotB + cotA)
C) (cotAcotB - 1)/(cotB + cotA) D) (cotAcotB - 1)/(cotB - cotA)
 
Answer & Explanation Answer: C) (cotAcotB - 1)/(cotB + cotA)

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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Q:

Find the fourth proportional to 2, 3, 6.

A) 9 B) 10
C) 7 D) 8
 
Answer & Explanation Answer: A) 9

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

A) 1 : 4 : 8 B) 1 : 3 : 5
C) 1 : 3 : 9 D) 1 : 6 : 12
 
Answer & Explanation Answer: B) 1 : 3 : 5

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both, the builder and the destroyer were initially set to work together on level ground. But after 7 hours the destroyer was taken out. What was the total time (in hrs) taken to build the wall ?

A) 17 B) 15
C) 24 D) 35
 
Answer & Explanation Answer: B) 15

Explanation:
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Q:

Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by a third, so it takes 3 hours more than Train A to complete the same journey? What is the speed of Train A (in km/hr)?

A) 80 B) 90
C) 60 D) 70
 
Answer & Explanation Answer: A) 80

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

A vendor buys bananas at 9 for Rs 8 and sells at 8 for Rs 9. What will be the profit or loss (in %)?

A) 13.28% profit B) 26.56% loss
C) 26.56% profit D) 13.28% loss
 
Answer & Explanation Answer: C) 26.56% profit

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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