Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the circumference (in cm) of a circle of radius 10.5 cm

A) 84 B) 35
C) 70 D) 66
 
Answer & Explanation Answer: D) 66

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Q:

If a2b+c=b2c+a=c2a+b=1 then the value of 21+a+21+b+21+c

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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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) 12 – 121 B) 14 – 169
C) 16 – 215 D) 18 – 289
 
Answer & Explanation Answer: C) 16 – 215

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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

 

A) 18 B) 9
C) 20 D) 12
 
Answer & Explanation Answer: C) 20

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Q:

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

A) 12/13 B) 5/13
C) 5/12 D) 1/5
 
Answer & Explanation Answer: B) 5/13

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Q:

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

A) 57.1 B) 56.4
C) 59.2 D) 57.8
 
Answer & Explanation Answer: D) 57.8

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