Research Aptitude Test

Result

Research Aptitude Test - 10

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Weekly Quiz Competition

Question 1
2 / -0.5

A postman was returning to the post office which was in front of him to the north, When the post office was 100 m away from him, he turned to the left and moved 50 m to deliver the last letter at Shantivilla. He then moved in the same direction for 40 m, turned to his right, and moved 100 m. How many meters was he away from the post office?

A
A. 0

B
B. 90

C
C. 150

D
D. 100

Solution

Clearly, the route of the postman Is as shown. So, at the final point the distance of postman from post office = PD = AC = AB + BC

= 50 + 40 = 90 m
Question 2
2 / -0.5

A square field ABCD of side 90 m is so located that its diagonal AC is from north to south and the corner B is to the west of D. Muong and Thames start walking along the sides from B and C respectively in the clockwise and anticlockwise direction with speeds of 8 m/s and 10 m/s, Where shall they cross each other the second time?

A
A. On AD at a distance of 30 m from A

B
B. On BC at a distance of 10 m from B

C
C. On AD at a distance of 30 m from D

D
D. On BC at a distance of 10 m from C

Solution

Clearly, the arrangement is as shown in the adjoining diagram.

It is given that Ram speed = 8 m/s.

Thames’s speed = 10 m/s

It Is clearly visible from the above figure that to meet for the first time, they have to cover a distance of 270 m i.e. three arms length of the field.

BA + AD + CD = 90 + 90 + 90 = 270 m

Since they are running in clockwise and anticlockwise direction respectively, they have to cover a di tance of 360 m (i.e. 4 arm's length of the field) for their second meeting from the first meeting point.

Thus, total distance to be covered for their second meeting = 270 + 360 = 630 m

Time required = 630/(8+10) = 630/18 = 35 seconds

Distance covered by Ram in clockwise direction In 35 seconds = 35 x 8 = 280 m

Distance covered by Thames in anticlockwise direction In 35 seconds = 35 x 10 = 350 m

Thus, Ram and Thames will meet on BC at a point 10 m from C and 80 m from B.
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 an educated male who is not an urban resident?

A
A. 4

B
B. 5

C
C. 9

D
D. 11

Solution

The person satisfying the given conditions is represented by the region which is common to the triangle and the rectangle but ties outside the circle i.e. 11.
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 neither a civil servant nor educated but is urban and not a male?

A
A. 2

B
B. 3

C
C. 6

D
D. 10

Solution

The person satisfying the given conditions is represented by the region which lies inside the circle but outside the square, the rectangle and the triangle i.e. 3.
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

Q. Who among the following is a female, urban resident and also a civil servant?

A
A. 6

B
B. 7

C
C. 10

D
D. 13

Solution

The person satisfying the given conditions is represented by the region which lies outside the rectangle and is common to the circle and the square i.e. 10.
Question 6
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 an educated male who hails from an urban area?

A
A. 4

B
B. 2

C
C. 11

D
D. 5

Solution

The person satisfying the given conditions is represented by the region which is common to the triangle and the rectangle and also lies inside the circle i.e., 4.
Question 7
2 / -0.5

Direction :

(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height

(ii) The tallest does not play football, and the shortest does not play cricket

(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.

(iv) H, who is fourth from the top, plays table tennis with D.

(v) G does not play either cricket or football. B does not play football.

Q. Who is the tallest?

A
B

B
H

C
C

D
Data inadequate
Solution
We will read each statement one by one and start coding accordingly.

Three of them play cricket and table tennis each, and two of them play football.

3Cr 3TT 2Fb

Each of them has a different height

The tallest does not play football, and the shortest does not play cricket.

F is taller than A and D but shorter than H and B. The arrangement can be like this

Note: Here, the heights of H &B and A &D are not given.

E does not play cricket.

and is taller than B and also second to the tallest

So E ’s position is

G is shorter than D but taller than A
So,

H is fourth from the top so its position is

H plays TT with D so

H →TT
D →TT

G does not play either cricket or football so G will play table tennis

G →TT

Now overall arrangements will be like this
Question 8
2 / -0.5

Direction :

(i) A, B, C, D, E, F, G and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height

(ii) The tallest does not play football and the shortest does not play cricket

(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.

(iv) H, who is fourth from the top, play table tennis with D.

(v) G does not play either cricket or football. B does not play football.

Q. Who is the shortest?

A
A. G

B
B. D

C
C. A

D
D. Data inadequate
Solution
We will read each statement one by one and start coding accordingly.

Three of them play cricket and table tennis each and two of them playfootball.

3Cr 3TT 2Fb

Each of them has a different height

The tallest does not play football and the shortest does not play cricket.

F is taller than A and D but shorter than H and B. The arrangement can be like this

Note: Here the heights of H & B and A & D are not given.

E does not play cricket

and is taller than B and also second to the tallest

So E’s position is

G is shorter than D but taller than A
So,

H is fourth from the top so its position is

H plays TT with D so

H → TT
D → TT

G does not play either cricket or football so G will play table tennis

G → TT

Now overall arrangements will be like this
Question 9
2 / -0.5

Direction: Each of the following questions is followed by two Statements.

Q. Is b positive?

(i) a + b is positive.

(ii) a ~ b is positive.

A
Statement 1 alone is sufficient to answer the question

B
Statement II alone is sufficient to answer the question

C
Both Statements 1 and 2 together are necessary to answer the question

D
Either Statement I alone or Statement 2 alone is sufficient to answer the question

E
Both Statements I and 2 together are not sufficient to answer the question

Solution
Question 10
2 / -0.5

Direction: In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate answer accordingly.

Q. What is the cost of flooring a rectangular hall?

I. The length of the rectangle Is 6 m and breadth is two third of its length.

II. Perimeter of rectangle is 200 m.

III. The cost of flooring the area of 100 cm²is Rs.45.

A
A. I and III

B
B. II and III

C
C. Only II

D
D. Question cannot be answered even with data in alt three statements

E
E. None of the, above

Solution

Using Statement I, we can find the area of the rectangle and using Statement III, we can find the cost.

Hence, Statement II is not necessary.