Quantitative Aptitude - Arithmetic Ability Questions

Q:

In PQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be

A) 5:11 B) 6:5
C) 11:6 D) 11:5
 
Answer & Explanation Answer: A) 5:11

Explanation:
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Filed Under: Ratios and Proportions
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Q:

Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/hr whereas Hema’s speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema?

A) 5 km B)  5.5 km
C) 6 km D) 6.5 km
 
Answer & Explanation Answer: C) 6 km

Explanation:
Let the distance between be D km
Time taken by radha – Time taken by Hema = 9 mins
So D/8 – D/10 = 9/60 hrs
D = 6km
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Filed Under: Time and Distance
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Q:

To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?

A) 60 B) 72
C) 66 D) 78
 
Answer & Explanation Answer: B) 72

Explanation:
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Filed Under: Time and Distance
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Q:

What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.?

A) 18.5° B) 83.5°
C) 18° D) 6.5°
 
Answer & Explanation Answer: B) 83.5°

Explanation:
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Filed Under: Clocks
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Q:

(3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ?

A) 4 B) 1
C) 5 D) 3
 
Answer & Explanation Answer: C) 5

Explanation:

(3x + 2) (2x - 5) = ax2+kx+n ...............(1)

 

But (3x + 2)(2x - 5) = 6x2-11x-10........(2)

 

so by comparing (1) & (2),

 

we get a= 6, k= -11 , n= -10

 

(a - n + k) = 6 + 10 - 11 = 5.

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Filed Under: Numbers
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Q:

Which of the following is not a prime number?

A) 5 B) 11
C) 21 D) 37
 
Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

 

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

 

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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Filed Under: Numbers
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Q:

If 5th January 2011 was a Thursday, then what day of the week was it on 1st January 2013 ?

A) Thursday B) Wednesday
C) Tuesday D) Monday
 
Answer & Explanation Answer: B) Wednesday

Explanation:
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Filed Under: Calendar
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Q:

A man lent a sum of money at the rate of simple interest of 4%. If the interest for 8 years is Rs 340 less than the principal, the principal is

A) Rs 500 B) Rs 520
C) Rs 540 D) Rs 560
 
Answer & Explanation Answer: A) Rs 500

Explanation:

Rate = 4%

Time = 8 years

Simple Interest = PTR/100

= 32P/100

Given, P –32P/100 = 34068

P = 34000

P = 500

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Filed Under: Simple Interest

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