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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

A) Rs. 240 B) Rs. 75
C) Rs. 125 D) Rs. 354
 
Answer & Explanation Answer: A) Rs. 240

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

The area of a square is 60.5 cm². Find the length of its diagonal (in cm).

 

A) 5.5 B) 22
C) 11 D) 16.5
 
Answer & Explanation Answer: C) 11

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 

A) 4% B) 5%
C) 6% D) 8%
 
Answer & Explanation Answer: A) 4%

Explanation:

SP of first article = Rs.1000

 

Profit = 20%

 CP = SP x 100100+P% = Rs. 25003

SP of Second Article = Rs.1000

 Loss = 20%

 CP = SP x 100100-L% = Rs. 1250

 

So, Total SP = Rs.2000; Total CP = Rs.6250/3

 

As the CP is more than SP, he makes a loss.

 

Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)

 

So, Loss Percent = Lossx100/CP = 4%

 

 

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Filed Under: Profit and Loss
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79 37709
Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

A) 13 B) 12
C) 11 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

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Filed Under: Numbers

101 37663
Q:

Three numbers are in the ratio  1 : 2 : 3  and their H.C.F is 12. The numbers are

A) 4, 8, 12 B) 5, 10, 15
C) 10, 20, 30 D) 12, 24, 36
 
Answer & Explanation Answer: D) 12, 24, 36

Explanation:

Let the required numbers be x, 2x, 3x.   Then, their H.C.F =x. so, x= 12

Therefore, The numbers are 12, 24, 36

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Filed Under: HCF and LCM

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Q:

The number of diagonals in a decagon is:

 

A) 20 B) 10
C) 25 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:
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Q:

Select the odd figure out of the following series.

 

 

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

Explanation:
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Q:

A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

A) Rs. 39000 B) Rs. 49000
C) Rs. 59000 D) Rs. 69000
 
Answer & Explanation Answer: C) Rs. 59000

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.

Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000

Let 'P' be the part of the remaining profit that A receives as his share.

So,total income of A = (Rs.2500 + Rs.18000 + Rs. P )

Total income of B = only his share from the remaining profit = 'P', as  A and B share the remaining profit equally.

 

We know that income of A = Twice the income of B 

So, (2500 + 18000 + P ) = 2(P)

P = 20500

 

Thus, the total profit = 2P + Rs.18000

= 2(20500) + 18000 = Rs.59000.

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