Quantitative Aptitude - Arithmetic Ability Questions

Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

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Filed Under: Volume and Surface Area
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Q:

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A) 35° B) 45°
C) 55° D) 90°
 
Answer & Explanation Answer: C) 55°

Explanation:
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Filed Under: Volume and Surface Area
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Q:

If the number x4562 is divisible by 9, what is the face value of x?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

The perimeter and the breadth of a rectangle are 82 cm and 20 cm respectively. Calculate the length of its diagonal (in cm).

 

A) 58 B) 21
C) 42 D) 29
 
Answer & Explanation Answer: D) 29

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives

A) 10 – 121 B) 12 – 169
C) 14 – 225 D) 16 – 279
 
Answer & Explanation Answer: D) 16 – 279

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If the lengths of the two parallel sides of a trapezium are 4 cm and 6 cm and its area is 25 cm². Find the distance between its parallel sides (in cm).

A) 2.5 B) 10
C) 5 D) 7.5
 
Answer & Explanation Answer: C) 5

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Tan (A - B) = ?

A) 304/297 B) 304/425
C) 416/87 D) 87/416
 
Answer & Explanation Answer: A) 304/297

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

A) 4 B) 5
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

Explanation:
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Filed Under: Simplification
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