Aptitude and Reasoning Questions

Q:

Derivative of sinx by first principle?

A) -sinx B) -cosx
C) cosx D) sinx
 
Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

 

Thus, the derivative of sinx by first principle is cosx.

Report Error

View Answer Report Error Discuss

4 3947
Q:

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

A) 51/1221 B) 42/221
C) 1/221 D) 52/1245
 
Answer & Explanation Answer: C) 1/221

Explanation:

Total Combination of getting a card from 52 cards = C152

Because there is no replacement, so number of cards after getting first card= 51

Now, Combination of getting an another card= C151


Total combination of getting 2 cards from 52 cards without replacement= (C152×C151


There are total 4 Ace in stack. Combination of getting 1 Ace is = C14

 

Because there is no replacement, So number of cards after getting first Ace = 3


Combination of getting an another Ace = C13

Total Combination of getting 2 Ace without replacement=C14×C13

Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

5 3947
Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) BFJN   B) GKOS  
C)  LPQV   D) MQU
 
Answer & Explanation Answer: C)  LPQV  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 3946
Q:

In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?

A) 63 B) 62
C) 64 D) 65
 
Answer & Explanation Answer: D) 65

Explanation:

Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65

Report Error

View Answer Report Error Discuss

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

9 3946
Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3 B) 1/2
C) 7/8 D) 4/5
 
Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

Report Error

View Answer Report Error Discuss

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

4 3946
Q:

In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:

A) 35 B) 38
C) 40 D) 42
 
Answer & Explanation Answer: B) 38

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

Therefore, 4x – (60 – x) = 130 

=> 5x = 190  => x = 38

Report Error

View Answer Report Error Discuss

Filed Under: Simplification

2 3946
Q:

When $720 is invested for 36 months it earns $205.20 simple interest. Find the yearly interest rate.

A) 7.5% B) 8.5%
C) 9.5% D) 10.5%
 
Answer & Explanation Answer: C) 9.5%

Explanation:

r = (100 x I)/(P x T)

Report Error

View Answer Report Error Discuss

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

3 3945
Q:

Directions:

Four friends Raghu, Rajesh, Ramesh and Ravi complete their Graduation in different number of years. The one who took maximum time took eight years to complete his Graduation while the one who took least time took only three years to complete it.Ravi took more time only than Raghu and completed his Graduation in five years. Ramesh did not take longer time
than Rajesh to complete his Graduation.

Question:

Who took more years to complete his graduation among all ?

A) Ramesh B) Raghu
C) Rajesh D) Ravi
 
Answer & Explanation Answer: C) Rajesh

Explanation:

Rajesh   - 8 years

Ramesh - 6 or 7 years

Ravi      - 5 years

Raghu   - 3 years

Report Error

View Answer Report Error Discuss

Filed Under: Deriving Conclusions From Passages
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

4 3942