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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

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

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Q:

If 5(4­-x) - ­4 < 3x - ­2 > 4x - 6; then the value of x is

A) 3 B) 1
C) 2 D) 5
 
Answer & Explanation Answer: A) 3

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Q:

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

A) 18 B) 24
C) 16 D) 32
 
Answer & Explanation Answer: D) 32

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Q:

If πsinθ= 1, πcosθ= 1, then (3tan 23θ+1) is

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

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Q:

The amount received at 10% per annum Compound interest after 3 yrs is Rs 5324. What was the principal (in Rs)?

A) 4100 B) 4200
C) 4000 D) 4300
 
Answer & Explanation Answer: C) 4000

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 4313 B) 5434
C) 8723 D) 3674
 
Answer & Explanation Answer: A) 4313

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Q:

If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?

A) 121 B) 168
C) 300 D) 770
 
Answer & Explanation Answer: D) 770

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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