Quantitative Aptitude - Arithmetic Ability Questions

Q:

At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?

A) 3:15 2/8 B) 3:49
C) 3:49 1/11 D) 3:51
 
Answer & Explanation Answer: C) 3:49 1/11

Explanation:

On straight line means 180 degree angle.
180 = 11/2 min – 30 hrs
180 = 11/2 m – 30 × 3
180 = 11/2 m – 90
(180 + 90) 2 = 11 m
m = 540/11 = 49 1/11 minutes.

 

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Filed Under: Clocks
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

30 25894
Q:

If the area of a semi-circle is 1925 sq.cm, then find its radius (in cm).

 

A) 70 B) 31
C) 62 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 25868
Q:

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.

Answer

Let the total profit be Rs. x


Amount paid to B as salary = (120 x 12)


                                       = Rs.1440


Share of each = \inline (\frac{x-1440}{2})


Interest paid by B = \inline \frac{22500\times 10}{100}=Rs.2250


Total money received by  A = \inline \frac{x-1440}{2}+2250


                                       = Rs.\inline (\frac{x+3060}{2})


Total money received by B


\inline [(\frac{x-1440}{2})+1440-2250]= (\frac{x-3060}{2})


\inline \Rightarrow \frac{1}{2}-(\frac{x+3060}{2})-(\frac{x-3060}{2})


\inline \Rightarrow x=9180 

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Subject: Partnership

60 25854
Q:

The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures  of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

A) 7:3 B) 5:3
C) 8:5 D) 2:7
 
Answer & Explanation Answer: B) 5:3

Explanation:

W1:A1  W2:A2  ..... WN:AN

  2 : 3                   4 : 5                    5 : 7 

 

W1W1+A1 = 25 W2W2+A2=49  WNWN+AN = 512

= 72/180

= 80/180

= 75/180  

                     

 

 =>     5   :   3

 

Therefore, the ratio is  5: 3

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

49 25845
Q:

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A) 53400 B) 17610
C) 11760 D) 45000
 
Answer & Explanation Answer: C) 11760

Explanation:

Required number of ways = 8C5*10C6 =  8C3*10C4 = 11760

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25 25840
Q:

Select the option that does not belong in the following figure series.

 

 

A) A B) B
C) C D) D
 
Answer & Explanation Answer: A) A

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

1 25818
Q:

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

 

A) GEC B) NLJ
C) OMK D) YWN
 
Answer & Explanation Answer: D) YWN

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

1 25810
Q:

Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :

A) 19 years B) 17 years
C) 15 years D) data inadequate
 
Answer & Explanation Answer: D) data inadequate

Explanation:

Let Meena’s age = A.
Then Sivagami’s age = A + 2
After 6 years the total of their ages will be 7 times of what?
Not clear.
So the given data are inadequate.

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Filed Under: Problems on Ages

49 25804