Quantitative Aptitude - Arithmetic Ability Questions

Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27 B) 38
C) 55 D) 75
 
Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

 

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
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5 3760
Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18 B) 24
C) 36 D) 32
 
Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

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Filed Under: Permutations and Combinations
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17 3756
Q:

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A) 12 B) 60
C) 72 D) 90
 
Answer & Explanation Answer: B) 60

Explanation:

Volume of water displaced = (3 x 2 x 0.01) = 0.06 cu.m. 

Mass of man = Volume of water displaced x Density of water

 = (0.06 x 1000) kg

 = 60 kg.

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0 3752
Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
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4 3749
Q:

Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?

I. The rate of interest is 5 p.c.p.a.

II. Simple interest fetched on the same amount in one year is Rs. 600.

III. The amount borrowed is 10 times the simple interest in 2 years.

A) I only B) III only
C) I or II only D) .II and Either I or III only
 
Answer & Explanation Answer: D) .II and Either I or III only

Explanation:

 

 

I. gives, Rate = 5% p.a.

 

II. gives, S.I. for 1 year = Rs. 600.

 

III. gives, sum = 10 x (S.I. for 2 years).

 

Now I, and II give the sum.

 

For this sum, C.I. and hence amount can be obtained.

 

Thus, III is redundant.

 

Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.

 

Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.

 

Thus, Rate =

 

100 x 1200

 

= 5% p.a.

 

2 x 12000

 

Thus, C.I. for 2 years and therefore, amount can be obtained.

 

Thus, I is redundant.

 

Hence, I or III redundant.

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0 3746
Q:

Two persons A and B invested in a business with 115000and 75000 rupees respectively. They agree that 40% of theprofit should be divided equally among them and rest isdivided between them according to their investment. If Agot 500 rupee more than B, then the total profit is

A) 3599.34 B) 699.34
C) 3958.34 D) 999.34
 
Answer & Explanation Answer: C) 3958.34

Explanation:

Ratio in which the profit will divide – 23:15. Let theprofit be P

Now, [(23/38) - (15/38)] x (60/100) x P = 500

P = 3958.34

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Filed Under: Partnership

3 3741
Q:

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 1/5 B) 1/7
C) 1/6 D) 1/9
 
Answer & Explanation Answer: C) 1/6

Explanation:

Out of 9 persons,4 can be choosen in 9C4 ways =126.

 

Favourable events for given condition = 2C2*7C2= 21.

 

So,required probability = 21/126 =1/6.

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Filed Under: Probability

1 3736
Q:

If there is a total of 104 weekly instalments and a third deposit, find the interest rate

A) 2.82 B) 3.82
C) 4.82 D) 5.82
 
Answer & Explanation Answer: C) 4.82

Explanation:

R = (100 x I)/( P x T)

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Filed Under: Simple Interest
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Job Role: Bank PO

0 3732