Quantitative Aptitude - Arithmetic Ability Questions

Q:

The L.C.M of  22, 54, 108, 135 and 198 is

 

A) 330 B) 1980
C) 5940 D) 11880
 
Answer & Explanation Answer: C) 5940

Explanation:

 22 = 2 x 11

 54 = 2×33

108 = 22×33

135 = 33×5 

198 = 2×32×11

  L.C.M = 22×33×5×11=5940

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Filed Under: HCF and LCM

226 87535
Q:

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

A) 5.4m B) 4.5m
C) 5m D) 6m
 
Answer & Explanation Answer: D) 6m

Explanation:

A : B = 100 : 90.

 

A : C = 100 : 87.

 

B/C = (B/A*A/C) = (90/100*100/87) = 30/29

 

When B runs 30 m, C runs 29 m.

 

When B runs 180 m, C runs (29/30*180)m =174m

 

 B beats C by (180 - 174) m = 6 m.

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Filed Under: Races and Games

104 87375
Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142 B) 181
C) 156 D) 179
 
Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

12+22 = 5

32+42 = 25

52+62 = 61

72+82 = 113

 

SO NEXT IS, 92+102 = 181

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

13 86790
Q:

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125% B) 150%
C) 175% D) 110%
 
Answer & Explanation Answer: A) 125%

Explanation:

Let the edge = a cm   

So increase by 50 % = a + a/2 = 3a/2  

Total surface Area of original cube = 6a2  

TSA of new cube = 63a22 =69a24=  13.5a2   

Increase in area = 13.5a2-6a2 =7.5a2  

 7.5a2 Increase % =7.5a26a2×100 = 125%

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483 86598
Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25 B) 28.375
C) 11.5 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

 

Hence, the odd number in the given number series is 8.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

17 86279
Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only B) II and III only
C) All I, II and III D) I only or II and III only
 
Answer & Explanation Answer: D) I only or II and III only

Explanation:

I.P*R*5100=PR=20

 II.P1+R1002-P-P*R*2100=400=>pR2=4000000

 III.P*R*1100=2000=>PR=200000

 PR2PR=4000000200000R=20

 

Thus I only or (II and III) give answer.

 

 Correct answer is (D)

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

94 86192
Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3 B) 3 : 4 : 15
C) 3 : 5 : 10 D) 5 : 6 : 10
 
Answer & Explanation Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

 

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

 

20x : 24x : 40x = 5 : 6 : 10          

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Filed Under: Partnership

207 85362
Q:

What was the day of the week on 28th May, 2006?

A) Sunday B) Friday
C) Wednesday D) Tuesday
 
Answer & Explanation Answer: A) Sunday

Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

 

Odd days in 1600 years = 0

 

Odd days in 400 years = 0

 

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days

 

(31[jan] + 28 [Feb]+ 31[Mar] + 30[April] + 28[May] ) = 148 dayss = (21 weeks + 1 day) = 1 odd day.

 

Total number of odd days = (0 + 0 + 6 + 1) = 7 = 0 odd days.

 

Given day is Sunday

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Filed Under: Calendar

521 84534