Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔPQR is right angled at Q. If m∠P = 45°, then find the value of (cosecR + 1/3).

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

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Filed Under: Simplification
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Q:

The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is

A) 2.3 m B) 4.6 m
C) 9.2 m D) 7.8 m
 
Answer & Explanation Answer: C) 9.2 m

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Filed Under: Height and Distance
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Q:

tan(A/2) is equal to

A) cosecA + cotA B) secA - cotA
C) cosecA - cotA D) secA + cotA
 
Answer & Explanation Answer: C) cosecA - cotA

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Q:

If the length of the transverse tangent is 8 cm, then calculate the centre distance (in cm) of the two circles with radii 7 cm and 3 cm.

 

A) √100 B) √120  
C) √164   D) √180
 
Answer & Explanation Answer: C) √164  

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Filed Under: Area
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Q:

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

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

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Filed Under: Volume and Surface Area
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Q:

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

A) 18 B) 28
C) 32 D) 36
 
Answer & Explanation Answer: D) 36

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Filed Under: Volume and Surface Area
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Q:

In the given fig, ST||RP, then what is the value of supplementary angle y (in deg)?

A) 10 B) 60
C) 100 D) 170
 
Answer & Explanation Answer: C) 100

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Filed Under: Volume and Surface Area
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Q:

Find the mean and mode of the numbers 1, 9, 5, 4, 2, 1, 9, 9, 2, 1, 9, 1, 2, 1?

A) 4 & 9 B) 5 & 1
C) 4 & 1 D) 5 & 9
 
Answer & Explanation Answer: C) 4 & 1

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Filed Under: Average
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