Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A) 2m –m^2/n B) 2m –m/n
C) 2m D) 2m –m
 
Answer & Explanation Answer: A) 2m –m^2/n

Explanation:

Mean of m observations is n

Mean of n-m observations is m

So total = nm+ (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m^2)/n = 2m –m^2/n

 

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1884
Q:

Pipes A and B can fill a cistern in 15 hours together. But ifthese pipes operate separately A takes 40 hours less than Bto fill the tank. In how many hours the pipe A will fill thecistern working alone?

A) 60 B) 20
C) 40 D) 15
 
Answer & Explanation Answer: B) 20

Explanation:

Let A takes x hours, then B = (x+40) hours

1/x + 1/x+40 = 1/15

x = 20

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Filed Under: Pipes and Cistern

5 1883
Q:

X starts a business with Rs 80000. After 6 months Y joins X with Rs 100000. After 2 years, what will be the ratio of profit of X and Y?

A) 16 : 15 B) 4 : 5
C) 8 : 9 D) 14 : 15
 
Answer & Explanation Answer: A) 16 : 15

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

1 1883
Q:

80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

A) 8 B) 9
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 1879
Q:

How many numbers are there from 700 to 950 (including both) which are neither divisible by 3 nor by 7?

A) 107 B) 141
C) 144 D) 145
 
Answer & Explanation Answer: C) 144

Explanation:
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Filed Under: Numbers

6 1878
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 1876
Q:

In how many different ways can the letters of the word 'RITUAL' be arranged?

A) 720 B) 5040
C) 360 D) 180
 
Answer & Explanation Answer: A) 720

Explanation:

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

11 1875
Q:

The LCM of 16, 24, 36, 52 and 54 is?

A) 5618 B) 5216
C) 432 D) 5616
 
Answer & Explanation Answer: D) 5616

Explanation:
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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

5 1870