Aptitude and Reasoning Questions

Q:

Find the one which does not belong to that group ?

A) 343 B) 2197
C) 1331 D) 121
 
Answer & Explanation Answer: D) 121

Explanation:

343 = 73,  1331 = 113 , 2197 = 133, 121 = 112

 

343, 1331, 2197 are perfect cubes, but not 121.

Report Error

View Answer Report Error Discuss

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

12 11669
Q:

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A) 276 B) 299
C) 322 D) 345
 
Answer & Explanation Answer: C) 322

Explanation:

Clearly, the numbers are (23 x 13) and (23 x 14).

 

 

 

 Larger number = (23 x 14) = 322.

Report Error

View Answer Report Error Discuss

12 11667
Q:

If a - b = 3,  a2+b2=29, find the value of ab.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

2ab=a2+b2-a2-b2

 

29-9=20

=>ab=10

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

8 11664
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion(A)   :   Tamil Nadu gets most of the rainfall in winter. 

Reason (R)     :   Tamil Nadu gets rainfall from retreating monsoons. 

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

Explanation:

Rainfall in Tamil Nadu is caused by the retreating monsoons which occur in winter. 

 

 

Report Error

View Answer Report Error Discuss

Filed Under: Assertion and Reason

7 11659
Q:

Find the logarithm of 144 to the base 23 :

A) 2 B) 4
C) 8 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

log23144 = 4 

Report Error

View Answer Report Error Discuss

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

55 11657
Q:

If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?

A) 1 B) 2
C) 4 D) 8
 
Answer & Explanation Answer: B) 2

Explanation:

Given a2 + b2 = c2

 

Now  1logc+ab  + 1logc-ab 

 

logbc+a + logbc-a

 

logbc2-a2

2logbb = 2

Report Error

View Answer Report Error Discuss

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

31 11652
Q:

A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ?

A) 68% B) 80%
C) 75% D) 100%
 
Answer & Explanation Answer: D) 100%

Explanation:

When 3 passengers income was 3x
expense= Rs.30 
profit =20% of 30 = Rs.6 
That means his earning is Rs.36. so that per passenger fare must be Rs.12.

When 4 passengers
earning = 12x4=Rs.48.
expense =Rs.24.
profit = Rs.24 = 100%

Report Error

View Answer Report Error Discuss

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

19 11650
Q:

Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in thesetwo bonds?

A) Rs.2543 B) Rs.2534
C) Rs.2546 D) Rs.2750
 
Answer & Explanation Answer: D) Rs.2750

Explanation:

 

Shawn received an extra amount of (Rs.605 – Rs.550) Rs.55 on his compound interest paying bond as the interest that he received in the first year also earned interest in the second year.

 

The extra interest earned on the compound interest bond = Rs.55

 

The interest for the first year =550/2 = Rs.275

 

Therefore, the rate of interest =55275*100= 20% p.a.

 

20% interest means that Shawn received 20% of the amount he invested in the bonds as interest.

 

If 20% of his investment in one of the bonds = Rs.275, then his total investment in each of the  bonds =27520*100 = 1375. 

As he invested equal sums in both the bonds, his total savings before investing = 2 x 1375 =Rs.2750.

Report Error

View Answer Report Error Discuss

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

12 11641