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Question 61

NIMCET 2020• Full Test

Eight friends A through H, are sitting around a circular table, playing a game of cards. They belong to two different teams X and Y. No two persons of the same team sit in adjacent seats. 

  • A sits neither opposite to D nor to H but is sitting in between C and G.
  • B sits neither opposite to A nor to G but is sitting in between F and D
  • B and H belong to team X and D sits opposite to E

Who are sitting adjacent to E?

  1. AOption (a)

    B and H

  2. BOption (b)

    B and G

  3. COption (c)

    H and G

  4. DOption (d)

    H and C

View answer & explanation

Correct answer

Answer: (d)D.

H and C

Why this answer is correct

  • A sits neither opposite to D nor to H but is sitting in between C and G.
  • B sits neither opposite to A nor to G but is sitting in between F and D

 

  • B and H belong to team X and D sits opposite to E

As B and H belong to team X, so is C and G.

Remaining F, E, A and D belong to team Y.

So, H and C are sitting adjacent to E.

Hence, ‘H and C’ is the correct answer.

Question 62

NIMCET 2020• Full Test

Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D. 

What is the number of marbles with A?

  1. AOption (a)

    6

  2. BOption (b)

    7

  3. COption (c)

    8

  4. DOption (d)

    9

View answer & explanation

Correct answer

Answer: (d)D.

9

Why this answer is correct

Four students: A, B, C and D

distributed 30 marbles among themselves  

  1. No two students got equal number of marbles.

  2. No student got more than 10 marbles.

  3. No student got less than 5 marbles.

  4. A and C got odd number of marbles. It can be 7 or 9

  5. B and D got even number of marbles.

It can be 6, 8 or 10

  1. A got more marbles than B**,** C got more marbles than D, B got more marbles than D. 

A > B > D, C > D

A (7, 9) > B (6, 8) > D (6, 8) , C (7,  9) > D (6, 8)

So, D got the least number of marbles.

∴ D got 6 marbles.

So, B got 8 marbles as B got more marbles than D.

A got 9 marbles as A got more marbles than B.

C got 7 marbles as C got more marbles than D.

StudentsPossible number of marblesDefinite number of marbles
A7 or 99
B6 or 88
C7 or 97
D6 or 86

The number of marbles with A is 9.

Hence, ‘9’ is the correct answer.

Question 63

NIMCET 2020• Full Test

Four students A, B, C and 0 distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.

Mean of number of marbles with B, C, D is:

  1. AOption (a)

    6

  2. BOption (b)

    7

  3. COption (c)

    8

  4. DOption (d)

    None of the above

View answer & explanation

Correct answer

Answer: (b)B.

7

Why this answer is correct

Four students: A, B, C and D

distributed 30 marbles among themselves  

  1. No two students got equal number of marbles.

  2. No student got more than 10 marbles.

  3. No student got less than 5 marbles.

  4. A and C got odd number of marbles. It can be 7 or 9

  5. B and D got even number of marbles.

It can be 6, 8 or 10

  1. A got more marbles than B**,** C got more marbles than D, B got more marbles than D. 

A > B > D, C > D

A (7, 9) > B (6, 8) > D (6, 8) , C (7,  9) > D (6, 8)

So, D got the least number of marbles.

∴ D got 6 marbles.

So, B got 8 marbles as B got more marbles than D.

A got 9 marbles as A got more marbles than B.

C got 7 marbles as C got more marbles than D.

StudentsPossible number of marblesDefinite number of marbles
A7 or 99
B6 or 88
C7 or 97
D6 or 86

Mean of number of marbles with B, C, D is = (8 + 7 + 6) ÷ 3

= 21 ÷ 3

= 7

Hence, ‘7’ is the correct answer.

Question 64

NIMCET 2020• Full Test

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee K1. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3? 

  1. AOption (a)

    3

  2. BOption (b)

    4

  3. COption (c)

    5

  4. DOption (d)

    6

View answer & explanation

Correct answer

Answer: (b)B.

4

Why this answer is correct

Nine individuals -: Z, Y, X, W, V, U, T, S and R

Three committees-K1, K2 and K3,

  1. Each candidate should serve on exactly one of the committees.

  2. Among Z, Y and X none can serve on committee K1.

  3. Among W, V and U none can serve on committee K2.

  4. Among T, S and R none can serve on committee K3

  5. It is possible that there are no members in committee K3

5) In case committee K2 is served by T and Z

CommitteesIndividuals who can serveIndividuals who cannot serve
K1Z, Y, X
K2T, ZW, V, U
K3T, S, R

K1 should consist of exactly one member more than committee K2.

So, K1 is served by three members as K2 is served by two members only.

So, remaining individuals will serve committee K3.

Remaining persons = 9 – (2 + 3)

= 9 – 5

= 4

Hence, ‘4’ is the correct answer.

Question 65

NIMCET 2020• Full Test

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee 10. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3? 

Of the nine individuals, the largest number that can serve together on committee K3 is:

  1. AOption (a)

    8

  2. BOption (b)

    7

  3. COption (c)

    6

  4. DOption (d)

    5

View answer & explanation

Correct answer

Answer: (c)C.

6

Why this answer is correct

Nine individuals -: Z, Y, X, W, V, U, T, S and R

Three committees-K1, K2 and K3,

  1. Each candidate should serve on exactly one of the committees.

  2. Among Z, Y and X none can serve on committee K1.

  3. Among W, V and U none can serve on committee K2.

  4. Among T, S and R none can serve on committee K3

  5. It is possible that there are no members in committee K3

CommitteesIndividuals who can serveIndividuals who cannot serve
K1Z, Y, X
K2W, V, U
K3T, S, R

Of the nine individuals, the largest number that can serve together on committee K3 = 9 – Number of members who cannot serve K3

= 9 – 3

= 6

Hence, ‘6’ is the correct answer.

Question 66

NIMCET 2020• Full Test

Fill in the blank in the series : ELFA, GLHA, ILJA, _____, MLNA :

  1. AOption (a)

    OLPA

  2. BOption (b)

    KLMA

  3. COption (c)

    LLMA

  4. DOption (d)

    KLLA

View answer & explanation

Correct answer

Answer: (d)D.

KLLA

Why this answer is correct

The pattern followed here is:

According to the alphabetical positions of the letters,

Hence, ‘KLLA’ is the correct answer.

Question 67

NIMCET 2020• Full Test

Pointing to a gentleman, Mohan said, 'His only brother is the father of my daughter's father'. The gentleman is Mohan's _____.

  1. AOption (a)

    Brother

  2. BOption (b)

    Father

  3. COption (c)

    Uncle

  4. DOption (d)

    None of the above

View answer & explanation

Correct answer

Answer: (c)C.

Uncle

Why this answer is correct

According to given conditions,

So, the gentleman is Mohan's Uncle.

Hence, ‘Uncle’ is the correct answer.

Question 68

NIMCET 2020• Full Test

It was 9.35 AM in Garvita's watch, which kept correct time, when Manya informed her that the last bus left the bus stop at 9.25 am. Manya's watch is 5 min fast. The frequency of the bus is every 20 min. For how long Garvita must wait to catch the next bus? 

  1. AOption (a)

    5 min

  2. BOption (b)

    10 min

  3. COption (c)

    15 min

  4. DOption (d)

    20 min

View answer & explanation

Correct answer

Answer: (a)A.

5 min

Why this answer is correct

It was 9.35 AM in Garvita's watch, which kept correct time.

Manya informed her that the last bus left the bus stop at 9.25 am. Manya's watch is 5 min fast.

So, the actual time when the bus left the bus stop = 9:25 – 0:05 AM

= 9:20 AM

The frequency of the bus is every 20 min.

So, the next bus will arrive at bus stop at 9:40 AM.

As it was 9.35 AM in Garvita's watch, she should wait 5 more minutes to catch the next bus.

Hence, ‘5 min’ is the correct answer.

Question 69

NIMCET 2020• Full Test

A total of 324 notes comprising of Rs. 20 and Rs. 50 denominations make a sum of Rs. 12450. The number of Rs. 20 notes is

  1. AOption (a)

    200

  2. BOption (b)

    144

  3. COption (c)

    125

  4. DOption (d)

    110

View answer & explanation

Correct answer

Answer: (c)C.

125

Why this answer is correct

Given:

Total number of notes of Rs. 20 and Rs. 50 = 324

Total Sum = Rs. 12450

Concept used:

Value of note × Number of total notes = Total amount

Calculation:

Let the number of Rs. 20 notes be x.

No. of Rs. 50 notes = 324 – x

⇒ 20 × x + 50 × (324 – x) = 12450 

⇒ 20x + 16200 – 50x = 12450

⇒ -30x = 12450 – 16200

⇒ 30x = 3750

⇒ x = 125

∴ The number of Rs. 20 notes is 125.

Question 70

NIMCET 2020• Full Test

Rishabh stops after going 10 Km towards west from his office. Then he goes 8 Km turning to his left. After this he goes 4 Km turning to his left. How far is he from the fixed point? 

  1. AOption (a)

    18 Km

  2. BOption (b)

    8 Km

  3. COption (c)

    10 Km

  4. DOption (d)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

10 Km

Why this answer is correct

According to given conditions,

Distance between his starting point and final point = \(\sqrt {{8^2} + {6^2}} \) km

= \(\sqrt {64 + 36} \) km

= \(\sqrt {100} \) km

= 10 km

Hence, ’10 km’ is the correct answer.

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