Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?

A) 125.5 meters B) 126.5 meters
C) 127.5 meters D) 128.5 meters
 
Answer & Explanation Answer: C) 127.5 meters

Explanation:

When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.

Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 meters.

So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meters to C.

So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters.

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Filed Under: Races and Games

30 21760
Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8 B) 2
C) 6 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)2 - (2x + 1)2

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

45 21663
Q:

The two lines 3x - 8y = 16 and 2x + 4y = 6 intersect at (a,b). Find the value of a2-4b2

 

 

A) 5   B)  10  
C) 15   D) 20
 
Answer & Explanation Answer: C) 15  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams , AIEEE

0 21648
Q:

Calculate the area (in cm2) of a circle whose diameter is 7 cm.

 

A) 38.5   B)  77    
C) 32.5   D) 65
 
Answer & Explanation Answer: A) 38.5  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 21637
Q:

The difference between simple and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is re.1. the sum is

A) 625 B) 630
C) 640 D) 650
 
Answer & Explanation Answer: A) 625

Explanation:

sum=Rs.x

C.I=[x(1+4/100)^2-x]=(676/625x-x)=51/625

S.I=(x*4*2)/100=2x/25

x=625

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

15 21618
Q:

If HCF of two numbers is 8,which of the following can never be their LCM?

A) 32 B) 48
C) 60 D) 152
 
Answer & Explanation Answer: C) 60

Explanation:

60 is not a multiple of 8

 

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

51 21592
Q:

What will come in place of the question mark in the series below?

2, 17, 89, 359, 1079, ?

A) 2137 B) 2121
C) 2377 D) 2159
 
Answer & Explanation Answer: D) 2159

Explanation:

Ans. 
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

2 21572
Q:

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

A) 5% B) 8%
C) 12% D) 15%
 
Answer & Explanation Answer: C) 12%

Explanation:

 

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

 

S.I. for 5 years = Rs.22053×5= Rs.3675

 

Principle = Rs.(9800-3675) = Rs.6125

 

Hence, Rate = 100×36756125×5 =12%

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

18 21526