Research Aptitude Test

Result

Research Aptitude Test - 30

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Weekly Quiz Competition

Question 1
2 / -0.5

A man walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point?

A
A. 3 km

B
B. 4 km

C
C. 5 Km

D
D. 7 km

Solution

The movements of the man are as shown in Fig. (A to B, B to C, C to D, D to E).

Clearly, DF = BC = 5 km.

EF = (DE - DF) = (9 - 5) km = 4 km.

BF = CD = 2 km

AF = AB + BF = AB + CD = (1 + 2) km = 3 km

∴ Man's distance from starting point A

= √25 = 5 km
Question 2
2 / -0.5

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban
(4) Square represents civil servants

Q. Who among the following is uneducated and also, an urban male?

A
A. 2

B
B. 3

C
C. 11

D
D. 12

Solution

The person satisfying the given conditions is represented by the region which lies outside the triangle and is common to the circle and the rectangle i.e. 12.

Remember: The condition which is not mentioned shouldn't be considered or assumed. For instance, here, 6 also denotes the required region. But since it lies inside the square and there is no mention of ’civil servant', so it cannot be the answer.
Question 3
2 / -0.5

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban
(4) Square represents civil servants

Q. Who among the following is only a civil servant b neither a male nor urban oriented and uneducated

A
A. 7

B
B. 8

C
C. 9

D
D. 14

Solution

The person satisfying the given is denoted by the region which lies inside the square but outside the circle, rectangle and triangle i.e. 7.
Question 4
2 / -0.5

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban
(4) Square represents civil servants

Q. Who among the following is a male, urban oriented and also a civil servant but not educated?

A
A. 13

B
B. 12

C
C. 6

D
D. 10

Solution

The person satisfying the given conditions is denoted by the region which is common to the rectangle, circie and the square but lies outside the triangle i.e. 6.
Question 5
2 / -0.5

Direction : The following questions are based on the diagram given below:

(1) Rectangle represents males

(2) Triangle represents educated

(3) Circle represents urban

(4) Square represents civil servants

find number of rural male civil servants

Solution

The person satisfying the given conditions is represented by the region common to the rectangle and the square but lying outside the triangle and the circle i.e. 13.
Question 6
2 / -0.5

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. A is sitting between which of the following pairs of persons?

A
A. D and E

B
B. B and E

C
C. E and C

D
D. None of these
Solution
Construct the figure

From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.

The sitting arrangement can be like this

Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this

There is only one vacant position for E, so the overall sitting arrangement will be like this
Question 7
2 / -0.5

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. Who is sitting opposite B?

A
A. E

B
B. F

C
C. A

D
D. C
Solution
Construct the figure

From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.

The sitting arrangement can be like this

Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this

There is only one vacant position for E, so the overall sitting arrangement will be like this
Question 8
2 / -0.5

Direction:

(i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.

(ii) F. who is sitting exactly opposite of A, is to the immediate right B.

(iii) D is between A and B and is exactly opposite to C.

Q. Three of the following are alike in a certain way on the basis of sitting positions and so from a group. Which is the one that does not belong to the group?

A
A. B, C

B
B. A, D

C
C. B, F

D
D. E, A
Solution
Construct the figure

From the second statement it is clear that F and A are sitting opposite to each other and F is to the immediate right of B.

The sitting arrangement can be like this

Prom the third statement it is clear that D is sitting between A and B and is opposite to C. The sitting arrangement can be like this

There is only one vacant position for E, so the overall sitting arrangement will be like this
Question 9
2 / -0.5

Direction: Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Q. Is 1/x greater Than

(i) x is greater than 1.

(ii) x is less than y.

A
if the Statement 1 alone is sufficient to answer the question but the Statement II alone is not sufficient

B
if the Statement U alone is sufficient to answer the question but the Statement I alone is not sufficient

C
if cannot get the answer from the Statements I and 11 together but need even more data

D
if either the Statement I alone or Statement II alone is sufficient to answer the question

E
If both Statements I and II together

Solution

Solution:

To determine whether 1/x is greater than something, we need to know the values of both x and y.

Statement I: x is greater than 1.
Statement II: x is less than y.

Let 's analyze each statement separately:

Statement I alone: x is greater than 1.
- This statement provides information about the value of x but doesn 't mention anything about y.
- We cannot determine the relationship between 1/x and y solely based on this statement.

Statement II alone: x is less than y.
- This statement provides information about the relationship between x and y but doesn 't mention anything about the specific value of x.
- We cannot determine the relationship between 1/x and y solely based on this statement.

Both statements together:
- Combining both statements, we know that x is greater than 1 and x is less than y.
- This implies that y is greater than x, but we still don 't have enough information to determine the relationship between 1/x and y.

Therefore, both statements together are not sufficient to answer the question.

The correct answer is C: We cannot get the answer from the Statements I and II together but need even more data.
Question 10
2 / -0.5

Direction: Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Q. The ages of P and G are in the ratio of 7:5. What is the age of P?

(i) The ages of P andNare in the ratio of 3 : 1.

(ii) After 7 yr, the ratio of ages of P and A will be 4:3.

A
if the Statement 1 alone is sufficient to answer the question but the Statement II alone is not sufficient

B
if the Statement U alone is sufficient to answer the question but the Statement I alone is not sufficient

C
If both Statements I and II together are needed to answer the question

D
if either the Statement I alone or Statement II alone is sufficient to answer the question

E
if cannot get the answer from the Statements I and II together but need even more data

Solution

Age of P cannot be found as in the given question, ratio of ages of the P and G is given, while in Statements I and II, the ratio of ages of P and N and P and A, respectively are given. When we make three equations in two variables using given three ratios, no two variables are same in any of the two equations.