Quantitative Aptitude - Arithmetic Ability Questions

Q:

The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is

A) 2 years B) 2.5 years
C) 3 years D) 4 years
 
Answer & Explanation Answer: A) 2 years

Explanation:

Amount = Rs.(30000+4347) = Rs.34347

 

let the time be n years

 

Then,30000(1+7/100)^n = 34347

 

(107/100)^n = 34347/30000 = 11449/10000 = (107/100)^2

 

n = 2years

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Filed Under: Compound Interest
Exam Prep: GRE

394 97263
Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only B) II and III only
C) All I, II and III D) I only or II and III only
 
Answer & Explanation Answer: D) I only or II and III only

Explanation:

I.P*R*5100=PR=20

 II.P1+R1002-P-P*R*2100=400=>pR2=4000000

 III.P*R*1100=2000=>PR=200000

 PR2PR=4000000200000R=20

 

Thus I only or (II and III) give answer.

 

 Correct answer is (D)

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Filed Under: Compound Interest
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94 97261
Q:

if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be  : 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

Let the original price be Rs. 100.

New final price  = 120 %  of (75 % of Rs. 100) = Rs. [(120/100) * (75/100) * 100] = Rs. 90.

Decrease = 10%

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Filed Under: Percentage

511 96923
Q:

311, 230, 294, ?, 281, 256

 

What will come in place of the question mark (?) in the above number series?

A) 240 B) 245
C) 244 D) 246
 
Answer & Explanation Answer: B) 245

Explanation:

Given 311   230   294   ?   281   256

 

311 - (9x9) = 230

 

230 + (8x8) = 294

 

294 - (7x7) = 245

 

245 + (6x6) = 281

 

281 - (5x5) = 256

 

Hence, the missing number in the given series is 245.

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8 96492
Q:

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

A) 200, 250, 300 B) 300, 200, 250
C) 200, 300, 400 D) None of these
 
Answer & Explanation Answer: B) 300, 200, 250

Explanation:

A's 5 days work = 50%  

B's 5 days work = 33.33% 

C's 2 days work = 16.66%     [100- (50+33.33)] 

Ratio of contribution of work of A, B and C = 50 : 3313 : 1623 = 3 : 2 : 1   

A's total share = Rs. 1500 

B's total share = Rs. 1000 

C's total share = Rs. 500  

 

A's one day's earning = Rs.300  

B's one day's earning = Rs.200  

C's one day's earning = Rs.250

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Filed Under: Time and Work
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596 96290
Q:

What will come in place of the question mark(?) in the following question ?

56% of 870 + 82% of 180 = 32% of 90 + ?

A) 777 B) 666
C) 606 D) 789
 
Answer & Explanation Answer: C) 606

Explanation:

56% of 870 = 56x870/100 = 487.20

82% of 180 = 82x180/100 = 147.60

32% of 90 = 32x90/100

487.20 + 147.6 - 28.8  =  ?

? = 634.8  - 28.8

? = 606.

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Filed Under: Percentage
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8 96231
Q:

What will come in place of question mark (?) in the following number series?

4, 3, 4, 7, 15, ?

A) 42 B) 44
C) 53 D) 56
 
Answer & Explanation Answer: B) 44

Explanation:

  4             3             4             7               15        ?
×1-1      ×1+1       ×2-1       ×2+1           ×3-1

 

15x3 - 1 = 45 - 1 = 44

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Filed Under: Odd Man Out
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8 96016
Q:

The missing number in the Series

114, 131, 165, 216,  ?, 369

 

A) 314 B) 304
C) 294 D) 284
 
Answer & Explanation Answer: D) 284

Explanation:

114       131     165     216     ?      369

   +17      +34     +51     +68    +85

 

=> The missing number in the given Number series = 216 + 68 = 284.

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7 94949