Aptitude and Reasoning Questions

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
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Q:

What is the value of cosec 11π/6?

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

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Q:

Sunil and Gopal are partners in a business. Sunil invests Rs.20,000 for 9 months and Gopal invests Rs. 30,000 for 12 months. Find the share of Sunil from the total profit of Rs. 60,000.

A) Rs.15000 B) Rs.18000
C) Rs.25000 D) Rs.20000
 
Answer & Explanation Answer: D) Rs.20000

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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

If in a two digit number, the digit at unit place is z and the digit at tens place is 8, then the number is

A) 80z + z B) 80 + z
C) 8z + 8 D) 80z + 8
 
Answer & Explanation Answer: B) 80 + z

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Filed Under: Problems on Numbers
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Q:

Introducing a boy a Ankit said," He is the son of daughter of my grandfather's son". How is that boy related to Ankit?

A) Cousin B) Brother
C) Father-in-law D) Nephew
 
Answer & Explanation Answer: D) Nephew

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Filed Under: Blood Relations
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Q:

What is the reciprocal of a negative number?

Answer

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 


 


All real numbers except 0 have reciprocals.

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Subject: Arithmetical Reasoning Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

A) 3(√11) – 7 B) 5(√13) – 8
C) 4(√7) – 11 D) 6(√11) – 9
 
Answer & Explanation Answer: A) 3(√11) – 7

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Filed Under: Area
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Q:

The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

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

Explanation:

Let the present age of P be 8x and Q be 5x After 4 years, P's age = 8x + 4 and Q's age = 5x + 4 8x+4/5x+4 = 4/3 24x+12 = 20x+16 => 4x = 4=> x = 1 Present age of P = 8 years Present age of Q = 5 years Required ratio = 15 : 5 = 3 : 1

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Filed Under: Problems on Ages

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