Quantitative Aptitude - Arithmetic Ability Questions

Q:

The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?

A) -49 B)  -44
C) -39 D) -34
 
Answer & Explanation Answer: B)  -44

Explanation:
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Q:

Two trains are moving in opposite directions with the same speed. If the length of each train is 144 metres and they cross each other in 9 seconds, then what is the speed (in km/hr) of each train?

 

A) 53 B) 57.6
C) 60.4 D) 64.8
 
Answer & Explanation Answer: B) 57.6

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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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Q:

ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is

A) 70° B) 110°
C) 80° D) 55°
 
Answer & Explanation Answer: A) 70°

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Q:

Find the total surface area (in cm²) of a right circular cone of diameter 14 cm and slant height 10 cm.

 

A) 374 B) 570
C) 428 D) 524
 
Answer & Explanation Answer: A) 374

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Q:

ΔPQR is right angled at Q. If cosP = 3/5, then what is the value of cosR ?

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

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Q:

Each exterior angle of a regular polygon measures 9 deg. How many sides does the polygon have?

A) 30 B) 40
C) 45 D) 36
 
Answer & Explanation Answer: B) 40

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Q:

A wheel has diameter 84 cm. The number of complete revolution it will take to cover 792 m is

A) 330 B) 300
C) 320 D) 350
 
Answer & Explanation Answer: B) 300

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