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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A) 22.75 m B) 25 m
C) 19.5 m D) 18.5 m
 
Answer & Explanation Answer: B) 25 m

Explanation:

A : B = 200 : 169.

 

 

 

A : C = 200 : 182.

 

 

 

C/B = (C/A*A/B) = (182/200*200/169) = 182:169

 

 

 

When C covers 182 m, B covers 169 m.

 

 

 

When C covers 350 m, B covers (169/180*350)m  = 325 m

 

 

 

Therefore, C beats B by (350 - 325) m = 25 m.

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Filed Under: Races and Games

30 31446
Q:

The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?

A) 25 B) 21
C) 12 D) 24
 
Answer & Explanation Answer: B) 21

Explanation:

Therefore x = 21%

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Filed Under: Alligation or Mixture

138 31436
Q:

Select the missing number based on the given related pair of numbers.

 

158 : 384 :: 140 : ___

A) 347 B) 346
C) 348 D) 349
 
Answer & Explanation Answer: C) 348

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

9 31431
Q:

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

A) 620 B) 671
C) 625 D) 567
 
Answer & Explanation Answer: B) 671

Explanation:

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

 

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

 

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671

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Filed Under: Permutations and Combinations

48 31373
Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) TOJE B) VQLG
C) XSNI D) PKFB
 
Answer & Explanation Answer: D) PKFB

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 31343
Q:

In the following question, select the odd word from the given alternatives.

 

A) Ball B) Bat
C) Wickets D) Ground
 
Answer & Explanation Answer: D) Ground

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 31342
Q:

125 over 1000 in Simplest Form?

A) 2/9 B) 1/8
C) 3/8 D) 4/7
 
Answer & Explanation Answer: B) 1/8

Explanation:

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

 

Hence, 18 is the simplest form of 125 over 1000.

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

50 31321
Q:

A Contractor employed a certain number of workers  to finish constructing a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the  scheduled time, so he at once doubled the no of workers and thus he managed to finish the road on the scheduled time. How much work he had been completed, before increasing the number of workers?

A) 10 % B) 14 ( 2/7 )%
C) 20 % D) Can't be determined
 
Answer & Explanation Answer: B) 14 ( 2/7 )%

Explanation:

Let he initially employed x workers which works for D days and he estimated 100 days for the whole work and then he doubled the worker for (100-D) days.

D * x +(100- D) * 2x= 175x 

=>  D= 25 days 

Now , the work done in 25 days = 25x 

Total work = 175x

Therefore, workdone before increasing the no of workers = 25x175x×100 % = 1427%

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Filed Under: Time and Work

107 31308