Research Aptitude Test

Result

Research Aptitude Test - 13

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
2 / -0.5

In the word-"PATNA ", how many words would be there which would start with the letter P?

A
24

B
12

C
60

D
18

Solution

In PATNA, if P is fixed so we have only four letter ATNA In which there are two A 's.

So, 4!/2! = 12
Question 2
2 / -0.5

A captain and a vice-captain are to be chosen out of a team having 11 players. How many ways are there to achieve this?

A
A. 10 x 9

B
B. ¹¹ C₂

C
C. 110

D
D. 109!

Solution

¹¹ C₂ x 2i Ways which is equal to 110.
Question 3
2 / -0.5

If the probability that A will live 15 years is 7/8 and that B will live 15 years is 9/10 , then what is the probability that both will live after 15 years?

A
1/20

B
63/80

C
1/5

D
None of these

Solution
Question 4
2 / -0.5

If events A and B are independent and P(A) = 0.15, P (A ∪ B) = 0.45 then P(B) =

A
A. 6/13

B
B. 6/17

C
C. 6/19

D
D. 6/23

Solution

P(A ∩ B) - P(A) x P(B) = 0.15 x P(B)

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.45 = 0.15 + P(B) - (0.15) x P(B)

= 0.15 + P(B)(1-0.15)

= 0.15 + 0.85P(B)

∴ 0.85P(B) = 0.45 - 0.15 = 0.30

∴ P(B) = 0.30/0.85 = 30/85 = 6/17
Question 5
2 / -0.5

Four different objects 1. 2,3, 4 are distributed at random in four places marked 1, 2, 3, 4. What is the probability that none of the objects occupy the place corresponding to its number?

A
17/24

B
1/2

C
3/8

D
5/8

Solution

Probability of Objects Not Occupying Corresponding Place

- Total Number of Ways to Distribute Objects: There are 4 objects and 4 places, so there are 4! = 24 ways to distribute the objects.
- Number of Ways None of the Objects Occupy Corresponding Place: For none of the objects to occupy the place corresponding to its number, each object must be placed in one of the other 3 places.
- For the first object, there are 3 places it can go.
- For the second object, there are 2 places left.
- For the third object, there is 1 place left.
- The fourth object automatically goes in the last place.
- Therefore, the number of ways none of the objects occupy corresponding places is 3 * 2 * 1 = 6 ways.
- Probability: Probability = (Number of favorable outcomes) / (Total number of outcomes) = 6 / 24 = 3 / 12 = 1 / 4 = 0.375
- Therefore, the probability that none of the objects occupy the place corresponding to its number is 3/8.
Question 6
2 / -0.5

Direction : Read the following information carefully and answer the question below it.

All the six members of a family P, Q, R, S, T and U are travelling together Q is the son of R but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. How may male members are there in the family?

A
A. 1

B
B. 2

C
C. 3

D
D. 4

Solution

→ Q is son of R

→ R is not the mother, then R is father of Q

→ P and R are married couple R -

→ T is the brother of R T .. R

→ S is daughter of P

→ U is the brother of Q Q . . U

Complete Solution
Question 7
2 / -0.5

Direction : Read the following information carefully and answer the question below it.

All the six members of a family P, Q, R, S, T and U are travelling together Q is the son of R but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. Who is the mother of Q?

A
A. S

B
B. U

C
C. T

D
D. P

Solution

→ Q is son of R

→ R is not the mother, then R is father of Q

→ P and R are married couple R -

→ T is the brother of R T .. R

→ S is daughter of P

→ U is the brother of Q Q . . U

Complete Solution
Question 8
2 / -0.5

Direction : Read the following information carefully and answer the question below it.

All the six members of a family P, Q, R, S, T and U are travelling together Q is the son of R but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. How many children does P have?

A
A. One

B
B. Two

C
C. Three

D
D. Four

Solution

→ Q is son of R

→ R is not the mother, then R is father of Q

→ P and R are married couple R -

→ T is the brother of R T .. R

→ S is daughter of P

→ U is the brother of Q Q . . U

Complete Solution
Question 9
2 / -0.5

Direction : Read the following information carefully and answer the question below it.

All the six members of a family P, Q, R, S, T and U are travelling together Q is the son of R but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. Who is the wife of T?

A
A. P

B
B. U

C
C. Q

D
D. can't be determined

Solution

→ Q is son of R

→ R is not the mother, then R is father of Q

→ P and R are married couple R -

→ T is the brother of R T .. R

→ S is daughter of P

→ U is the brother of Q Q . . U

Complete Solution
Question 10
2 / -0.5

Direction : Read the following information carefully and answer the question below it.

All the six members of a family P, Q, R, S, T and U are travelling together Q is the son of R but R is not the mother of Q. P and R are a married couple. T is the brother of R. S is the daughter of P. U is the brother of Q.

Q. Which of the following is a pair of females?

A
A. PT

B
B. QS

C
C. SU

D
D. PS

Solution

→ Q is son of R

→ R is not the mother, then R is father of Q

→ P and R are married couple R -

→ T is the brother of R T .. R

→ S is daughter of P

→ U is the brother of Q Q . . U

Complete Solution