Aptitude and Reasoning Questions

Q:

The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :

A) 35 and 46 B) 35 and 50
C) 40 and 55 D) 45 and 60
 
Answer & Explanation Answer: A) 35 and 46

Explanation:

Let the numbers be x and y. Then,

 

x^2+y^2=3341......(1)

 

x^2-y^2=891......(2)

 

Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46

 

Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35

 

So, the numbers are 35 and 46

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Filed Under: Problems on Numbers

14 14737
Q:

Read the statements and identify the logically correct conclusion from the given information.

 

Statement :

 

This scale is transparent

 

Conclusion :

 

1. The scale is made up of glass

2. The scale is made up of plastic

 

A) Only II follow B) Both I and II follows
C) Only I follow D) Neither I nor II follow
 
Answer & Explanation Answer: D) Neither I nor II follow

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 14729
Q:

Arrange the given words in the sequence in which they occur in the dictionary.

i. Yielded
ii. Yelp
iii. Yeast
iv. Yogurt

A) ii, iii, iv, i B) iii, ii, i, iv
C) iv, i, ii, iii D) i, ii, iii, iv
 
Answer & Explanation Answer: B) iii, ii, i, iv

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

1 14715
Q:

A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ?

A) 1900 B) 2100
C) 1700 D) 2000
 
Answer & Explanation Answer: A) 1900

Explanation:

Given 2000 ---- 54 days

The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days.

i.e, 2000 ----- 39 days == m ---- 20 days

=> m x 20 = 2000 x 39

m = 3900

So total men for 20 days is 3900

=> 2000 old and 1900 new reinforcement.

Hence, reinforcement = 1900.

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

10 14711
Q:

In the following question, select the missing number from the given series.

 

23, 19, 15, 11, ?

 

A) 3 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

1 14702
Q:

A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

A) 60 km/hr B) 100 km/hr
C) 110 km/hr D) 120 km/hr
 
Answer & Explanation Answer: D) 120 km/hr

Explanation:

Number of gaps between 41 poles = 40
So total distance between 41 poles = 40*50
= 2000 meter = 2 km
In 1 minute train is moving 2 km/minute.
Speed in hour = 2*60 = 120 km/hour

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Filed Under: Time and Distance
Exam Prep: GRE

25 14699
Q:

Statements followed by some conclusions are given below.

 

Statements:
1. A bag has 2 white, 3 black, 4 red and 6 green balls.
2. 2 balls are selected at random from the bag.

Conclusions:
1. The probability that a black ball is selected is 1/5.
2. The probability that a red ball is selected is 6/15.

 

Find which of the conclusions logically follows from the given statements.

 

A) Only conclusion 1 follows B) Only conclusion 2 follows
C) Both 1 and 2 follow D) Neither 1 nor 2 follows
 
Answer & Explanation Answer: A) Only conclusion 1 follows

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 14693
Q:

An assertion (A) and a Reason (R) are given below.

 

Assertion (A) : The Indian Constitution came into force with effect from 26th January 1950.

 

Reason (R) : 26th January is celebrated as the Republic day.

 

A) A is true but R is false B) A is false but R is true
C) Both A and R are false D) Both A and R are true but R is not the correct explanation of A
 
Answer & Explanation Answer: D) Both A and R are true but R is not the correct explanation of A

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 14688