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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

 

A) 26 B) 34
C) 58 D) 48
 
Answer & Explanation Answer: D) 48

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

8 50819
Q:

The volume of a hemisphere is 2425.5 cm³. Find its diameter (in cm).

 

A) 10.5   B) 42
C) 21 D) 31.5
 
Answer & Explanation Answer: C) 21

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 50751
Q:

What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?

A) Rs.325 B) Rs.545
C) Rs.560 D) Rs.550
 
Answer & Explanation Answer: A) Rs.325

Explanation:

Let each instalment be Rs.x .

 

1st year =  [x + (x * 12 * 2)/100] 

2nd year = [ x + (x *12 * 1)/100] 

3rd year = x 

Then, [x + (x * 12 * 2)/100] + [ x + (x *12 * 1)/100] + x =1092 

3x + ( 24x/100 ) + ( 12x/100 )  = 1092 

336x =109200

Therefore, x = 325 

Each instalment = Rs. 325

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Filed Under: Simple Interest
Exam Prep: GRE

206 50747
Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

 

A) (2√2+√3)/2 B) 5/6
C) (1+2√3)/2 D) (√2+1)/√2
 
Answer & Explanation Answer: A) (2√2+√3)/2

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Filed Under: Simplification
Exam Prep: Bank Exams

1 50693
Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

 

A) 3√3/2   B) 1+√3  
C) (2√2+1)/2   D) (3√3+1)/6
 
Answer & Explanation Answer: A) 3√3/2  

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50618
Q:

L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :

A) -2 B) -1
C) 1 D) 2
 
Answer & Explanation Answer: A) -2

Explanation:

 H. C. F of two prime numbers is 1.  Product of numbers = 1 x 161 = 161.

 Let the numbers be a and b . Then , ab= 161.

 Now, co-primes with  product 161 are (1, 161) and (7, 23).

 Since x and y are prime numbers and x >y , we have x=23 and y=7.

 Therefore,  3y-x = (3 x 7)-23 = -2

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Filed Under: HCF and LCM

119 50593
Q:

ΔXYZ is right angled at Y. If sinX = 4/5, then what is the value of cosZ ?

 

A) 3/4 B) 5/3
C) 4/5 D) 4/3
 
Answer & Explanation Answer: C) 4/5

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Filed Under: Simplification
Exam Prep: Bank Exams

1 50516
Q:

Cos2 90° + Cosec2 90° - Cot2 45° = ?

 

A) 2 B) 1
C) 1/2 D) √3/2
 
Answer & Explanation Answer: B) 1

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 50296