Aptitude and Reasoning Questions

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

 

A) one  B) two
C) three D) four
 
Answer & Explanation Answer: C) three

Explanation:
Sec of any number can never be less than 1
tan can take any value from -∞ to + ∞
cosec of any number can never be less than 1
cos of any number can never be greater than 1
so option 1,3,4 are not possible
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Filed Under: Simplification
Exam Prep: Bank Exams

1 71551
Q:

Find the number of triangles in the given figure.

A) 28 B) 32
C) 36 D) 40
 
Answer & Explanation Answer: C) 36

Explanation:

  

The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA i.e. 12 in number.

The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.

The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.

The triangles composed of six components each are ASB, BSG, CSD, DSA, AKF, EBH, GGJ and IDL i.e. 8 in number.

The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.

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Filed Under: Analytical Reasoning

799 71513
Q:

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

A) 19 B) 29
C) 39 D) 49
 
Answer & Explanation Answer: C) 39

Explanation:

Let B's present age = x years. Then, A's present age = (x + 9) years.
(x + 9) + 10 = 2(x - 10)

 => x + 19 = 2x - 20

 => x =39.

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Filed Under: Problems on Ages

358 71487
Q:

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

A) Rs.2000 B) Rs.10000
C) Rs.15000 D) Rs.20000
 
Answer & Explanation Answer: C) Rs.15000

Explanation:

Principal = Rs100×540012×3=Rs. 15000

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

174 71072
Q:

What is the positive square root of [25 + 4√39]?

 

A) √13 + 2√3   B) √13 + 3√2  
C) √11 + 2√3 D) 11 + 3√2  
 
Answer & Explanation Answer: A) √13 + 2√3  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 70896
Q:

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is ?

A) 12% B) 30%
C) 50% D) 60%
 
Answer & Explanation Answer: C) 50%

Explanation:

Friends, we know we will need gain amount to get gain percent, right. So lets get gain first.

Let the cost price of 1 pen is Re 1

Cost of 8 pens = Rs 8

Selling price of 8 pens = 12

Gain = 12 - 8 = 4

Gain% = gaincost×100%  = 48×100% = 50%

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Filed Under: Profit and Loss

348 70850
Q:

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square  tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms B) 21 cms
C) 42 cms D) None of these
 
Answer & Explanation Answer: B) 21 cms

Explanation:

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

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Filed Under: HCF and LCM

169 70440
Q:

Select the related letters from the given alternatives.

MOQ : NLJ :: SUW : ?

A) IGE B) CEG
C) KJI D) HFD
 
Answer & Explanation Answer: D) HFD

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 70229