Aptitude and Reasoning Questions

Q:

What is the remainder when 6910 is divided by 81?

A) 25 B) 23
C) 21 D) 19
 
Answer & Explanation Answer: A) 25

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 2084
Q:

Marked price of an item is Rs 400. On purchase of 1 item discount is 6% and on purchase of 4 items discount is 24%. Rachita buys 5 items, what is the effective discount?

A) 34 percent B) 20.4 percent
C) 12.8 percent D) 23.25 percent
 
Answer & Explanation Answer: B) 20.4 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

2 2084
Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the following question, select the odd word from the given alternatives.

A) Sea B) Ocean
C) Lake D) Marsh
 
Answer & Explanation Answer: D) Marsh

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A) 2 hours B) 6 hours
C) 4 hours D) 3 hours
 
Answer & Explanation Answer: C) 4 hours

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If a + b = 9 and a2+ b2= 61, then ab is

A) 20 B) 10
C) 81 D) 142
 
Answer & Explanation Answer: B) 10

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is

A) 20% B) 25%
C) 15% D) 5%
 
Answer & Explanation Answer: B) 25%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If the ratio of the cost price and the selling price of an article be 4:5, then the percentage of profit is:

A) 27.5 B) 25
C) 15 D) 10
 
Answer & Explanation Answer: B) 25

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

1 2083