General Test

Result

General Test - 32

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Weekly Quiz Competition

Question 1
4 / -1

8 men of the first group can do $\frac{4}{3}$ of the work in $\frac{1}{2}$ times compared to 6 men of the second group, find the respective ratio for one day work of 3 men of the first group and 4 men of the second group?

A
2 : 3

B
3 : 2

C
3 : 5

D
5 : 3

Solution

We know that (number of men × time taken) by total time is done remains same.

Hence, $8 M \times \frac{(\frac{T}{2})}{(\frac{4 W}{3})} = 6 m \times \frac{T}{W}$

M = man of first group

T = time taken by second group to complete the work W.

m = man of the second group.

Thus, 3M = 6m

⇒ M : m = 6 : 3 = 2 : 1

The required ratio is 3 men in the first group and 4 men in the second group.

∴ 3M : 4m = 3 × 2 : 4 × 1 = 3 : 2
Question 2
4 / -1

A, B, and C can do a piece of work in $24, 30,$ and $40$ days respectively. They began the work together but C left $4$ days before completion of the work. In how many days was the work done?

A
$13$

B
$14$

C
$12$

D
$11$

Solution
Question 3
4 / -1

Find the total surface area of a solid hemisphere whose radius is$4.2$ cm. (Take$\pi=\frac{22}{7}$ )

A
266.32 cm²

B
366.32 cm²

C
166.32 cm²

D
466.32 cm²

Solution

Given:Radius = 4.2 cm

Tota surface area of a hemisphere$=3 \pi r^2$

Total surface area$=3 \times \frac{22}{7} \times 4.2 \times 4.2=166.32 $ cm²
Question 4
4 / -1

A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on:

A
62.25 m²

B
53.5 m²

C
57.75 m²

D
51.75 m²

Solution

Each angle of an equilateral triangle = 60°, Length of rope = 10.5 m

Area that the goat can graze on = $\frac{60}{360}×\frac{22}{7}×10.5×10.5 = 57.75$
Question 5
4 / -1

Direction: Four positions of a dice are given below Identify the number of the bottom when the number on the top is 2.

A
3

B
5

C
4

D
6

Solution

The number 6 is adjacent to 2, 3, 4, and 5. So the number opposite to 6 is 1.

Now, the number 5 is adjacent to 4, 6, 3, and 1. So the number opposite to 5 is 2.
Question 6
4 / -1

Directions For Questions

Directions: Read the instructions carefully and answer the question below.

A, B, C, D, E, F, G, and H are the eight male members sitting around a circular table. Four of them are facing the inward direction and four are facing the outward direction. These eight people are married to eight girls namely L, M, N, O, P, Q, R, and S but not necessarily in the same order. No three consecutive people are facing the same direction.

Only one person is sitting between B and the husband of L. Both the immediate neighbours of D are facing the same direction. Either R or P is the wife of D. The husband of Q is facing the outward direction and he is sitting to the immediate right of D. B is sitting third to the right of the person who is the husband of R and they are facing the same direction. The husband of P and the husband of Q are facing the same direction. The wife of D is sitting third to the left of F. Neither O nor P is the wife of B. G is sitting third to the right of C. The husband of L is sitting third to the left of E. Only one person is sitting between F and the husband of M and they are facing the same direction. The husband of S is sitting third to the right of H. A is an immediate neighbour of the husband of M. C is sitting third to the right of the husband of M and they are facing different directions.

...view full instructions

Who is the wife of the person who is sitting to the immediate left of D?

A
M

B
L

C
R

D
S

Solution

1) B is sitting third to the right of the person who is the husband of R and they are facing the same direction.

(As it is a circular arrangement, we can randomly place the husband of R on any seat and then we can place B according to the direction the husband of R is facing.)

2) Both the immediate neighbours of D are facing the same direction.

(Implies, the immediate neighbours of D are facing a different direction than D.)

3) The husband of Q is facing the outward direction and he is sitting to the immediate right of D.

(Implies, D must be facing the inward direction. It also means that the other immediate neighbour of D must also be facing the outward direction and B is facing the inward direction.)

4) Either R or P is the wife of D.

5) The husband of P and the husband of Q are facing the same direction.

(Implies, the husband of P is also facing the outward direction. It means that R is the wife of D.)

6) Only one person is sitting between B and the husband of L.

(Implies, the husband of L is sitting second to the right of B because the husband of Q is sitting second to the left of B.)

7) The wife of D is sitting third to the left of F.

(It is only possible if F is the husband of L and F is facing the outward direction.)

8) Only one person is sitting between F and the husband of M and they are facing the same direction.

(Implies, the husband of M is sitting second to the left of F because B is facing the inward direction.)

9) C is sitting third to the right of the husband of M and they are facing different directions.

(Implies, C is sitting between F and B. Also, C is facing the inward direction because the husband of M is facing the outward direction.)

10) The husband of L is sitting third to the left of E.

(Implies, E is sitting to the immediate left of B and E is facing the outward direction as it is the only possibility. Also, now that we have identified the four people who are facing the outward direction, we can say that all the other people are facing the inward direction.)

11) A is an immediate neighbour of the husband of M.

(Implies, A is sitting to the immediate left of F.)

12) G is sitting third to the right of C.

(Implies, G is the husband of M. Now, that only H is left to be placed, we can safely say that H is sitting to the immediate right of D.)

13) The husband of S is sitting third to the right of H.

(Implies, A is the husband of S.)

14) Neither O nor P is the wife of B.

(Implies, N is the wife of B as it is the only option left. Also, O and P are the wives of C and E but not necessarily in the same order.)

Clearly, G is sitting to the immediate left of D and M is the wife of D.
Question 7
4 / -1

Directions For Questions

Directions: Read the instructions carefully and answer the question below.

A, B, C, D, E, F, G, and H are the eight male members sitting around a circular table. Four of them are facing the inward direction and four are facing the outward direction. These eight people are married to eight girls namely L, M, N, O, P, Q, R, and S but not necessarily in the same order. No three consecutive people are facing the same direction.

Only one person is sitting between B and the husband of L. Both the immediate neighbours of D are facing the same direction. Either R or P is the wife of D. The husband of Q is facing the outward direction and he is sitting to the immediate right of D. B is sitting third to the right of the person who is the husband of R and they are facing the same direction. The husband of P and the husband of Q are facing the same direction. The wife of D is sitting third to the left of F. Neither O nor P is the wife of B. G is sitting third to the right of C. The husband of L is sitting third to the left of E. Only one person is sitting between F and the husband of M and they are facing the same direction. The husband of S is sitting third to the right of H. A is an immediate neighbour of the husband of M. C is sitting third to the right of the husband of M and they are facing different directions.

...view full instructions

Who is the husband of S?

A
B

B
E

C
F

D
A

Solution

1) B is sitting third to the right of the person who is the husband of R and they are facing the same direction.

(As it is a circular arrangement, we can randomly place the husband of R on any seat and then we can place B according to the direction the husband of R is facing.)

2) Both the immediate neighbours of D are facing the same direction.

(Implies, the immediate neighbours of D are facing a different direction than D.)

3) The husband of Q is facing the outward direction and he is sitting to the immediate right of D.

(Implies, D must be facing the inward direction. It also means that the other immediate neighbour of D must also be facing the outward direction and B is facing the inward direction.)

4) Either R or P is the wife of D.

5) The husband of P and the husband of Q are facing the same direction.

(Implies, the husband of P is also facing the outward direction. It means that R is the wife of D.)

6) Only one person is sitting between B and the husband of L.

(Implies, the husband of L is sitting second to the right of B because the husband of Q is sitting second to the left of B.)

7) The wife of D is sitting third to the left of F.

(It is only possible if F is the husband of L and F is facing the outward direction.)

8) Only one person is sitting between F and the husband of M and they are facing the same direction.

(Implies, the husband of M is sitting second to the left of F because B is facing the inward direction.)

9) C is sitting third to the right of the husband of M and they are facing different directions.

(Implies, C is sitting between F and B. Also, C is facing the inward direction because the husband of M is facing the outward direction.)

10) The husband of L is sitting third to the left of E.

(Implies, E is sitting to the immediate left of B and E is facing the outward direction as it is the only possibility. Also, now that we have identified the four people who are facing the outward direction, we can say that all the other people are facing the inward direction.)

11) A is an immediate neighbour of the husband of M.

(Implies, A is sitting to the immediate left of F.)

12) G is sitting third to the right of C.

(Implies, G is the husband of M. Now, that only H is left to be placed, we can safely say that H is sitting to the immediate right of D.)

13) The husband of S is sitting third to the right of H.

(Implies, A is the husband of S.)

14) Neither O nor P is the wife of B.

(Implies, N is the wife of B as it is the only option left. Also, O and P are the wives of C and E but not necessarily in the same order.)

Clearly, A is the husband of S.
Question 8
4 / -1

Directions For Questions

Directions: Read the instructions carefully and answer the question below.

A, B, C, D, E, F, G, and H are the eight male members sitting around a circular table. Four of them are facing the inward direction and four are facing the outward direction. These eight people are married to eight girls namely L, M, N, O, P, Q, R, and S but not necessarily in the same order. No three consecutive people are facing the same direction.

Only one person is sitting between B and the husband of L. Both the immediate neighbours of D are facing the same direction. Either R or P is the wife of D. The husband of Q is facing the outward direction and he is sitting to the immediate right of D. B is sitting third to the right of the person who is the husband of R and they are facing the same direction. The husband of P and the husband of Q are facing the same direction. The wife of D is sitting third to the left of F. Neither O nor P is the wife of B. G is sitting third to the right of C. The husband of L is sitting third to the left of E. Only one person is sitting between F and the husband of M and they are facing the same direction. The husband of S is sitting third to the right of H. A is an immediate neighbour of the husband of M. C is sitting third to the right of the husband of M and they are facing different directions.

...view full instructions

Who is sitting to the immediate right of the husband of N?

A
D

B
C

C
E

D
B

Solution

1) B is sitting third to the right of the person who is the husband of R and they are facing the same direction.

(As it is a circular arrangement, we can randomly place the husband of R on any seat and then we can place B according to the direction the husband of R is facing.)

2) Both the immediate neighbours of D are facing the same direction.

(Implies, the immediate neighbours of D are facing a different direction than D.)

3) The husband of Q is facing the outward direction and he is sitting to the immediate right of D.

(Implies, D must be facing the inward direction. It also means that the other immediate neighbour of D must also be facing the outward direction and B is facing the inward direction.)

4) Either R or P is the wife of D.

5) The husband of P and the husband of Q are facing the same direction.

(Implies, the husband of P is also facing the outward direction. It means that R is the wife of D.)

6) Only one person is sitting between B and the husband of L.

(Implies, the husband of L is sitting second to the right of B because the husband of Q is sitting second to the left of B.)

7) The wife of D is sitting third to the left of F.

(It is only possible if F is the husband of L and F is facing the outward direction.)

8) Only one person is sitting between F and the husband of M and they are facing the same direction.

(Implies, the husband of M is sitting second to the left of F because B is facing the inward direction.)

9) C is sitting third to the right of the husband of M and they are facing different directions.

(Implies, C is sitting between F and B. Also, C is facing the inward direction because the husband of M is facing the outward direction.)

10) The husband of L is sitting third to the left of E.

(Implies, E is sitting to the immediate left of B and E is facing the outward direction as it is the only possibility. Also, now that we have identified the four people who are facing the outward direction, we can say that all the other people are facing the inward direction.)

11) A is an immediate neighbour of the husband of M.

(Implies, A is sitting to the immediate left of F.)

12) G is sitting third to the right of C.

(Implies, G is the husband of M. Now, that only H is left to be placed, we can safely say that H is sitting to the immediate right of D.)

13) The husband of S is sitting third to the right of H.

(Implies, A is the husband of S.)

14) Neither O nor P is the wife of B.

(Implies, N is the wife of B as it is the only option left. Also, O and P are the wives of C and E but not necessarily in the same order.)

Clearly, C is sitting to the immediate right of B who is the husband of N.
Question 9
4 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question given below.

Certain representatives of the countries sitting on a circular conference table. They all are facing inside. There are some seats vacant between them. Not more than three representatives sitting together. The total number of seats around the table is a prime number.

Two seats between A and the one who belongs to Brazil. There is only one seat between the one who belong to Israel and the one who belong to Thailand. The one who belongs to Brazil sits three places away from I who belong to Syria. The one who belongs to Japan sits second to the right of the one who belongs to India. The one who belongs to Argentina is the immediate neighbour of the one who belongs to Japan and the one who belongs to Israel. There are three seats between the one who belongs to Thailand and the one who belongs to Egypt. A belongs to India and C belongs to Argentina. The one who belongs to Indonesia sits exactly between the one who belongs to Thailand and the one who belongs to Egypt. The one who belongs to Syria and K are immediate neighbours of each other. There are exactly five seats between K and the one who belongs to Canada. L who belongs to Iran and B who belongs to Brazil are immediate neighbours of each other. There are two seats between the one who belongs to Canada and the one who belongs to Japan. There is only one seat between E and H, who belongs to Israel. There are three seats between K who belongs to Germany and F who belongs to Indonesia. D who belongs to Canada sits immediate left of A. J is an immediate neighbour of C. There is one more person sitting on the table who is G who belongs to Egypt. No one sits to the immediate right of B.

...view full instructions

Who among the following sits 10th to right of the one who belongs to India?

A
H

B
K

C
The one who belongs to Syria

D
The one who belongs to Egypt

Solution

1) A belongs to India and C belongs to Argentina.

2) Two seats between A and the one who belongs to Brazil.

3) The one who belongs to Japan sits second to the right of the one who belongs to India.

4) The one who belongs to Argentina is the immediate neighbour of the one who belongs to Japan and the one who belongs to Israel.

5) The one who belongs to Brazil sits three places away from I who belong to Syria.

6) There is only one seat between the one who belong to Israel and the one who belong to Thailand.

7) The one who belongs to Canada sits immediate left of the one who belongs to India.

8) There is only one seat between E and H, who belongs to Israel.

9) D who belongs to Canada sits immediate left of A.

10) There are three seats between the one who belongs to Thailand and the one who belongs to Egypt.

11) No one sits to the immediate right of B.

12) L who belongs to Iran and B who belongs to Brazil are immediate neighbours of each other.

13) J is an immediate neighbour of C.

14) The one who belongs to Syria and K are immediate neighbours of each other.

15) There are three seats between K who belongs to Germany and F who belongs to Indonesia.

16) The one who belongs to Indonesia sits exactly between the one who belongs to Thailand and the one who belongs to Egypt.

17) There is one more person sitting on the table who is G who belongs to Egypt.

Therefore, the final arrangement is,

Thus, “the one who belongs to Egypt” sits 10th to right of the one who belongs to India.
Question 10
4 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question given below.

Certain representatives of the countries sitting on a circular conference table. They all are facing inside. There are some seats vacant between them. Not more than three representatives sitting together. The total number of seats around the table is a prime number.

Two seats between A and the one who belongs to Brazil. There is only one seat between the one who belong to Israel and the one who belong to Thailand. The one who belongs to Brazil sits three places away from I who belong to Syria. The one who belongs to Japan sits second to the right of the one who belongs to India. The one who belongs to Argentina is the immediate neighbour of the one who belongs to Japan and the one who belongs to Israel. There are three seats between the one who belongs to Thailand and the one who belongs to Egypt. A belongs to India and C belongs to Argentina. The one who belongs to Indonesia sits exactly between the one who belongs to Thailand and the one who belongs to Egypt. The one who belongs to Syria and K are immediate neighbours of each other. There are exactly five seats between K and the one who belongs to Canada. L who belongs to Iran and B who belongs to Brazil are immediate neighbours of each other. There are two seats between the one who belongs to Canada and the one who belongs to Japan. There is only one seat between E and H, who belongs to Israel. There are three seats between K who belongs to Germany and F who belongs to Indonesia. D who belongs to Canada sits immediate left of A. J is an immediate neighbour of C. There is one more person sitting on the table who is G who belongs to Egypt. No one sits to the immediate right of B.

...view full instructions

What is the position of L with respect to G?

A
Fourth to the left

B
Fifth to the right

C
Sixth to the right

D
Fifth to the left

Solution

1) A belongs to India and C belongs to Argentina.

2) Two seats between A and the one who belongs to Brazil.

3) The one who belongs to Japan sits second to the right of the one who belongs to India.

4) The one who belongs to Argentina is the immediate neighbour of the one who belongs to Japan and the one who belongs to Israel.

5) The one who belongs to Brazil sits three places away from I who belong to Syria.

6) There is only one seat between the one who belong to Israel and the one who belong to Thailand.

7) The one who belongs to Canada sits immediate left of the one who belongs to India.

8) There is only one seat between E and H, who belongs to Israel.

9) D who belongs to Canada sits immediate left of A.

10) There are three seats between the one who belongs to Thailand and the one who belongs to Egypt.

11) No one sits to the immediate right of B.

12) L who belongs to Iran and B who belongs to Brazil are immediate neighbours of each other.

13) J is an immediate neighbour of C.

14) The one who belongs to Syria and K are immediate neighbours of each other.

15) There are three seats between K who belongs to Germany and F who belongs to Indonesia.

16) The one who belongs to Indonesia sits exactly between the one who belongs to Thailand and the one who belongs to Egypt.

17) There is one more person sitting on the table who is G who belongs to Egypt.

Therefore, the final arrangement is,

Thus, the Position of L with respect to G is “fifth to the right”.