Quantitative Aptitude - Arithmetic Ability Questions

Q:

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square  tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms B) 21 cms
C) 42 cms D) None of these
 
Answer & Explanation Answer: B) 21 cms

Explanation:

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

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Filed Under: HCF and LCM

169 69853
Q:

If a+b=5 and 3a+2b=20,then (3a+b)will be :

 

A) 20 B) 15
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

a+b=5   ...(1)    and    3a+2b=20 ...(2)

 

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

 

Putting a=10 in (1), we get : b=-5

 

Therefore,   (3a+b) = 3 x 10+(-5)=30-5=25.

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

24 69542
Q:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12 B) 1.16
C) 1.20 D) 1.30
 
Answer & Explanation Answer: C) 1.20

Explanation:

(x * 5) = (0.75 *8)

X=6/5 = 1.20

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Filed Under: Ratios and Proportions

262 69056
Q:

What is the age of Teja?

A: Four years ago, Raju was as old as Teja is at present.

B: Sita’s present age is two times of Raju’s present age.

C: The average age of Teja and Sita is 19 years.

A) Any two statements are sufficient to give answer B) Only C is sufficient
C) All of three statements are necessary to give answer D) Even using all the three statements answer cannot be found
 
Answer & Explanation Answer: C) All of three statements are necessary to give answer

Explanation:

From the given statements A, B & C

Let the present age of Teja = P

Raju present age = P + 4

Sita's present age = 2(P + 4)

Average of ages of Sita & Teja = 19

=> (2P + 8 + P)/2 = 19

= 3P + 8 = 38

=> P = 30/3 = 10

Hence, the present age of Teja = P = 10 yrs.

 

Therefore, by using all the three statements A, B & C we can find the age of Teja.

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

15 68868
Q:

 The percentage increase in the area of a rectangle, if each of its sides is increased by 20%

A) 22% B) 33%
C) 44% D) 55%
 
Answer & Explanation Answer: C) 44%

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = xy sq.m 

Increased length  = 120100 and Increased breadth = 120100 

 

New area = 120100x*120100y=3625xy m2 

 

The difference between the Original area  and New area  is:  

3625xy-xy

 

1125xy Increase % =1125xyxy*100= 44%

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

108 68515
Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2 B) 2:1
C) 11:24 D) 36:121
 
Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

 

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1. 

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

323 68491
Q:

Find the odd man out.

253, 136, 352, 324, 631, 244

A) 324 B) 136
C) 352 D) 631
 
Answer & Explanation Answer: A) 324

Explanation:

The Sum of the digits in each number, Except 324 is 10.

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Filed Under: Odd Man Out

41 68369
Q:

In the following number series, one of the numbers is wrong. Find it out?

77, 79, 76, 81, 75, 85

A) 79 B) 81
C) 75 D) 85
 
Answer & Explanation Answer: C) 75

Explanation:

Here in the given series, it follows a pattern that

 

77 + 2 = 79

 

79  - 3 = 76

 

76 + 5 = 81

 

81 -  7 = 74

 

74 + 11 = 85

 

Consecutive adding and subtracting of prime numbers.

 

So the wrong number in the given series is 75.

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 68219