Quantitative Aptitude - Arithmetic Ability Questions

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 50636
Q:

If a=2b/3, b=2c/3, and c=2d/3, then find the ratio of b and d:

 

A) 8/9 B) 4/9
C) 4/3 D) 5/27
 
Answer & Explanation Answer: B) 4/9

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 50560
Q:

The perimeter of a square is 26 cm. Find its area (in cm2).

 

A) 42.25   B) 84.5  
C) 39.25   D) 78.5
 
Answer & Explanation Answer: A) 42.25  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 50376
Q:

A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

A) Rs. 258 B) Rs. 358
C) Rs. 458 D) Rs. 558
 
Answer & Explanation Answer: D) Rs. 558

Explanation:

Area to be plastered = 2l+b×h+l×b 

=225+12×6+25×12=744sq.m 

Cost of plastering = 744×75100=Rs.558                       

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

79 50282
Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

 

A) 5 : 2   B) 10 : 17  
C) 9 : 4 D) 5 : 4
 
Answer & Explanation Answer: A) 5 : 2  

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 50126
Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 49943
Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 1400
C) 1250 D) 1600
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways. 

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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52 49827
Q:

What is the common ratio of the following geometric sequence?

4, 2, 1, 0.5, 0.25, 0.125,...

A) 0.5 B) -1
C) 1.5 D) -0.5
 
Answer & Explanation Answer: A) 0.5

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

 

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

3 49795