Aptitude and Reasoning Questions

Q:

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab B) a2+b2
C) a2-b2 D) 1
 
Answer & Explanation Answer: B) a2+b2

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Q:

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A from these matrices can be represented first by its row and next by its column. e.g. N can be represented by 01, 14 etc. and A can be represented by 55, 69, etc. You have to identify the set for the word ‘GOOD’.

A) 02, 58, 68, 04 B) 44, 99, 76, 20
C) 31, 67, 76, 22 D) 33, 76, 86, 41
 
Answer & Explanation Answer: B) 44, 99, 76, 20

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Q:

Find the value of 491321973

A) 17/13 B) 13/17
C) 13/7 D) 17/7
 
Answer & Explanation Answer: A) 17/13

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Q:

If the triangle ABC and DEF follows the given equation, then these two triangles are similar by which of the following criterion?

ABDE = BCEF =ACDF

 

A) SAS similarity B) SSS similarity
C) AAA similarity D) None of the these
 
Answer & Explanation Answer: B) SSS similarity

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Q:

If secA/√(sec2A ­- 1) = x, then value of x is

A) tanA B) cosecA
C) sinA D) cosA
 
Answer & Explanation Answer: B) cosecA

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Q:

Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)

A) b5x4a5z5 B) b5x4a5z7
C) b5x4a4z7 D) b4x4a5z7
 
Answer & Explanation Answer: B) b5x4a5z7

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Q:

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.

4, 5.2, 6.4, ?, 8.8

A) 7 B) 8
C) 7.6 D) 8.25
 
Answer & Explanation Answer: C) 7.6

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Q:

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

A) 10 cm B) 5 cm
C) 6 cm D) 12 cm
 
Answer & Explanation Answer: A) 10 cm

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