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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The LCM of the three numbers 16, 28 and 42 is

 

A) 168 B) 2
C) 252 D) 336  
 
Answer & Explanation Answer: D) 336  

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

1 15158
Q:

Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

A) 24.5 B) 25.5
C) 26.5 D) 27.5
 
Answer & Explanation Answer: A) 24.5

Explanation:

If Rahul age is x, then Sachin age is x - 7,

 

so, (x-7)/x =7/9

 

 9x - 63 = 7x
 2x = 63
 x = 31.5

So Sachin age is 31.5 - 7 = 24.5

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Filed Under: Problems on Ages

60 15156
Q:

Which year has 366 days?

A) 1900 B) 1200
C) 2500 D) 1700
 
Answer & Explanation Answer: B) 1200

Explanation:

NOTE: When a century year leaves a remiander 0, when divided by 400 then it is a leap year (366 days).

So, 1200 has 366 days.

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Filed Under: Calendar

48 15147
Q:

The sum of three numbers is 98. If the ratio of the first to second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: C) 30

Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 =5*35:8*35=  3:245  

A : B : C = 2 : 3 : =>  = 10 : 15 : 24

 

 B =245 = 30

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Filed Under: Ratios and Proportions

45 15140
Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39 B) 15/39
C) 12/13 D) None of these
 
Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize) 

 

 = 1-16C1× 14C1×12C1×10C116C4=1539

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

64 15130
Q:

Choose the CORRECT option about the two tangents drawn to the circle from the external point?

(1) The tangents subtend equal angles at the centre of the circle.

(2) The tangents drawn from the external point to a circle are equal in length.

(3) The tangents are equally inclined to the segment which joins the centre to that point.

A) 1 and 2 only B) 2 and 3 only
C) 1, 2 and 3 D) 1 and 3 only
 
Answer & Explanation Answer: C) 1, 2 and 3

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

0 15124
Q:

A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?

A) 1/5 B) 3/4
C) 2/5 D) 3/5
 
Answer & Explanation Answer: C) 2/5

Explanation:

Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) +  (Prob. that brother is not selected) × (Prob. that sister is selected)

 

= 15*23+45*13= 25

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Filed Under: Probability

14 15085
Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20 B) Rs. 24
C) Rs. 26 D) Rs. 29
 
Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

21 15081