Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the radius of a circle is increased by 25%, its area increases by:

A) 50 percent B) 25 percent
C) 28.125 percent D) 56.25 percent
 
Answer & Explanation Answer: D) 56.25 percent

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Mahesh rows to the place 80 km away and back in 20 hours. He finds that he can row 8 km downstream in the same time as 4 km upstream. The speed of the boat in stillwater is

A) 9 kmph B) 7 kmph
C) 2 kmph D) 5 kmph
 
Answer & Explanation Answer: A) 9 kmph

Explanation:
If Mahesh moves 8 km downstream in X hours

Downstream speed = 8/X kmph

upstream speed = 4/X kmph

Now 80/(8/X) + 80/(4/X)=20

X=2/3

downstream Speed = 8/(2/3)= 12 kmph

upstream Speed = 4/(2/3)= 6 kmph

Rate of the stream = (12+6)/2= 9 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?

A) 60 B) 54
C) 48 D) 72
 
Answer & Explanation Answer: B) 54

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

If N = 1 + 11 + 111 + 1111 + ... +111111111, then what is the sum of the digit's of N?

A) 45 B) 18
C) 36 D) 5
 
Answer & Explanation Answer: A) 45

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

A) 120 B) 240
C) 256 D) 360
 
Answer & Explanation Answer: A) 120

Explanation:

Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Due to a price hike of 20% , 4 kg less sugar is available for Rs. 120 . What is the initial price per kg of sugar ?

A) Rs. 5 Kg B) Rs. 4 Kg
C) Rs. 6 Kg D) Rs. 5.5 Kg
 
Answer & Explanation Answer: A) Rs. 5 Kg

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A starts a business, after 6 months B also join him with Rs.4500 and after 2 months of B’s joining C also join them with Rs.4500. If A gets approx. Rs 4900 out of total annual profit of Rs. 10,000 then find the approximate value of initial investment of A.

A) Rs.4800 B) Rs.4200
C) Rs.3600 D) Rs.4400
 
Answer & Explanation Answer: C) Rs.3600

Explanation:

Let initial investment of A = x
Ratio of profit A : B : C = 12 × x : 6×4500 :4×4500
A :B:C = x : 2250: 1500
Now ATQx/(x+2250+1500) = 4900/10000
solving this we get,x ≈ Rs 3600

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Q:

If 25% of X is equal to 40% of Y, then what is the ratio of X and Y?

A) 8 : 5 B) 5 : 3
C) 9 : 5 D) 4 : 5
 
Answer & Explanation Answer: A) 8 : 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT

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