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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by

A) 100 m B) 111m
C) 25 m D) 50 m
 
Answer & Explanation Answer: A) 100 m

Explanation:

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Filed Under: Races and Games

3 3885
Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.


P(AꓴB) = P(A) + P(B) - P(AꓵB).


An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4


And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

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

3 3885
Q:

A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

 

A) 72 km B) 36 km
C) 56 km D) 42 km
 
Answer & Explanation Answer: A) 72 km

Explanation:

Rate of her upstream = 12/2.5 = 4.8 km/hr

Then, ATQ

Rate of downstream = 4.8 x 3 = 14.4 km/hr

 

Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

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

17 3881
Q:

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L  ?

A) J x J = KL B) K x K= JL
C) L x L = JK D) JKL = 1
 
Answer & Explanation Answer: B) K x K= JL

Explanation:

Let the Time be 'N' and Rate be 'R' 

J = (K x NR)/100 K = (L x NR)/100 

J/K = NR/100 K/L = NR/100 

J/K = K/L 

K x K = JL

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 3878
Q:

If 3=1.732, then what is the value of (3 - 103 + 27) ?

 

A) 1.154   B)  1.577  
C)  1.464   D) 2.358
 
Answer & Explanation Answer: A) 1.154  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 3877
Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 145 B) 165
C) 175 D) 135
 
Answer & Explanation Answer: C) 175

Explanation:

Given that,

 working days = 5

 working hours = 8

 A man get rupess per hour is Rs.2.40

 So in one day the man get total rupees is 2.40 x 8 = 19.2

 So in 5 days week the man get total rupees is 19.2 x 5 = 96

 So in 4 week the man get total rupees is 96 x 4 = 384

 So the man worked for = 160hours in 4 weeks

 

 But given that the man earned Rs.432

 

 Hence remaning money is (432-384 = 48)which is earn by doing overtime work

 


Overtime hours  = 48/3.20 = 15


So total worked hours is = 15 + 160 = 175.

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 3876
Q:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at ?

A) Rs. 145 B) Rs. 245.1
C) Rs. 96 D) Rs. 75
 
Answer & Explanation Answer: C) Rs. 96

Explanation:

Michel earns Rs. 135 by investing Rs. 1620
To earn Rs. 8 how much he have to invest...?

= (8 x 1620)/135 = Rs. 96

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Filed Under: Stocks and Shares
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

8 3873
Q:

Find the number of ways to arrange 4 people in groups of 3 at a time where order matters?

A) 20 B) 16
C) 24 D) 36
 
Answer & Explanation Answer: C) 24

Explanation:

P(4,3)= P34= 24

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Filed Under: Permutations and Combinations

0 3866