Quantitative Aptitude - Arithmetic Ability Questions

Q:

∆PQR is right angled at Q. If m∠P = 60 deg, then find the value of (secR + 1/2).

 

A) (2√2+√3)/2   B) (√3+4)/2√3
C) √3+2   D) 5/6
 
Answer & Explanation Answer: B) (√3+4)/2√3

Explanation:
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Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months B) 9 months
C) 7 months D) 10 months
 
Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
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Q:

Which of the following statement is CORRECT about the tangents?

 

A) The tangents drawn at the end of diameter of a circle are parallel to each other.   B) The line segment which joins the point of contact of two parallel tangents to the circle is the diameter of the circle.  
C) Tangents drawn from the external points subtends equal angle at the center.   D) All option are correct.  
 
Answer & Explanation Answer: D) All option are correct.  

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Filed Under: Volume and Surface Area
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Q:

Select the figure that does not belong in the following group.

 

 

 

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

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Filed Under: Odd Man Out
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Q:

Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

A) 7 months B) 8 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

 

76000×1257000×(12-x)=21

 

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4


After 4 months amar join the business.

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Q:

Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes  ?

A) 21 min B) 24 min
C) 20 min D) 22 min
 
Answer & Explanation Answer: A) 21 min

Explanation:

Let the pipe B be closed after 'K' minutes.

30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16

=> K = 14/16 x 24 = 21 min.

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Q:

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

A) 45, 10 B) 10, 50
C) 9, 50 D) 50, 15
 
Answer & Explanation Answer: C) 9, 50

Explanation:

Let the age of A = A, B = B and C = C

From given

A = 3B

4 years ago,

C-4 = 2(A-4);

After 4 years

A + 4 = 31;

A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50

Hence B = 9yrs and C = 50yrs.

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Q:

The simple interest at y% for 'y' years will be Rs. y on a sum. Find the principal amount.


 

A) 100/y B) 100 x y
C) 100y2 D) 100 ÷ y2
 
Answer & Explanation Answer: A) 100/y

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Filed Under: Simple Interest
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