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Question 71

NIMCET 2020• Full Test

Which of the four options should fill the missing cell?

  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    3

  4. DOption (d)

    4

View answer & explanation

Correct answer

Answer: (a)A.

1

Why this answer is correct

Let us divide the given set of images in a systematic manner.

Along the rows and columns we can see a particular pattern is maintained.

It makes our task easy to figure out which of the given options will fill the missing cell.

  1. Three color code is maintained, white, blue, yellow

  2. 3 pattern are maintained thrice throughout the diagram with

  3. Each pattern has yellow , blue and white in the behind one lines in diff diagrams.

So, from the given options, ‘option 1’ will fill the missing cell.

Hence, ‘option 1’ is the correct answer.

Question 72

NIMCET 2020• Full Test

In the following questions, the symbols $, #, @, % and * illustrate the following meanings.

  • P $ Q - P is not smaller than Q
  • P # Q - P is neither greater than nor equal to Q.
  • P @ Q - P is neither smaller than nor equal to Q.
  • P % Q - P not greater than Q
  • P * Q - P is neither greater than nor smaller than Q

Statements:

K # L, L % M, M * N, N # O

Conclusions:

I. K # M

II. K * M

III. L % O

  1. AOption (a)

    I only

  2. BOption (b)

    Either I or II only

  3. COption (c)

    III only

  4. DOption (d)

    All I, II and III

View answer & explanation

Correct answer

Answer: (a)A.

I only

Why this answer is correct

P is
$#@%*
≥<>≤=
To Q

K # L → K < L

L % M → L ≤ M

M * N → M = N

N # O → N < O

Combining all the statements together, we get:

K < L ≤ M = N < O

I. K # M → K < M → True (As, K < L ≤ M → K < M)

II. K * M → K = M → False (As, K < L ≤ M → K < M)

III. L % O → L ≤ O → False (As, L ≤ M = N < O → L < O)

Hence, ‘I only’ is the correct answer$.

Question 73

NIMCET 2020• Full Test

Study the following arrangement carefully and answer the question given below:

W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A $ 9 F Q 5 D G 6 U S P

Three of the following are alike in a certain way on the basis of above arrangement and hence form a group. Which one does not belong to that group$?

  1. AOption (a)

    R W 4

  2. BOption (b)

    9 Q A

  3. COption (c)

    3 B $$

  4. DOption (d)

    5 F G

View answer & explanation

Correct answer

Answer: (b)B.

9 Q A

Why this answer is correct

In all except, 9 Q A the second element is second to the left of first element and and third element is second to the right of first element.

W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A $ 9 F Q 5 D G 6 U S P

All options except ‘9 Q A’ follows the same pattern of arrangement as highlighted in the above series.

Hence, ‘9 Q A’ is the odd one out$.

Question 74

NIMCET 2020• Full Test

If there are no dancers that aren't slim and no singers that aren't dancers, then which statements are always true? Choose the correct answer.

  1. AOption (a)

    There is not one slim person that isn't a dancer.

  2. BOption (b)

    All singers are slim

  3. COption (c)

    Anybody slim is also a singer

  4. DOption (d)

    None of the above. 

View answer & explanation

Correct answer

Answer: (b)B.

All singers are slim

Why this answer is correct

If there are no dancers that aren't slim → Implies all dancers are slim.

No singers that aren't dancers → All singers are dancers.

Thus from the above two it can be concluded that all singers are dancers and all dancers are slim, so all singers are slim.

1) There is not one slim person that isn't a dancer. → False (It is possible but not definite)

2) All singers are slim → True (It is definite)

3) Anybody slim is also a singer → False (It is possible but not definite)

4) None of the above. → False (As option 2 is true)

Hence, ‘All singers are slim’ is the correct answer.

Question 75

NIMCET 2020• Full Test

If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code TREVNIETARBI?

  1. AOption (a)

    INVRETIBRATE

  2. BOption (b)

    INVERTIBARTE

  3. COption (c)

    INVERTIBRATE

  4. DOption (d)

    INVERTIBRETA

View answer & explanation

Correct answer

Answer: (c)C.

INVERTIBRATE

Why this answer is correct

The logic is:

Similarly,

Hence, ‘INVERTIBRATE’ is the correct answer.

Question 76

NIMCET 2020• Full Test

Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu. Average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu. 

  1. AOption (a)

    36 years

  2. BOption (b)

    30 years

  3. COption (c)

    25 years

  4. DOption (d)

    31 years

View answer & explanation

Correct answer

Answer: (a)A.

36 years

Why this answer is correct

Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu.

Bhanu + Chanu + Dhanu + 10 = Anu + Bhanu

=> Chanu + Dhanu + 10 = Anu _____ <i>

Average age of Chanu and Dhanu is 19 years.

(Chanu + Dhanu) / 2 = 19

Chanu + Dhanu = 19 × 2 years

Chanu + Dhanu = 38 years _____ <ii>

Putting the value of <ii> in <i>, we get:

38 + 10 = Anu

So, age of Anu is 48 years

Dhanu is 10 years elder than Chanu.

Dhanu – 10 = Chanu ____ <iii>

Putting the value of <iii> in <ii>, we get:

Dhanu – 10 + Dhanu = 38

=> 2Dhanu = 38 + 10

=> 2Dhanu = 48

=> Dhanu = 24 years

Average age of Anu and Dhanu = (48 + 24) ÷ 2 years

= 72 ÷ 2 years

= 36 years

Hence, ’36 years’ is the correct answer.

Question 77

NIMCET 2020• Full Test

In a competitive examination in Maharashtra state, 9% candidates got selected from the total appeared candidates. Tripura state had an equal number of candidates appeared and 12% candidates got selected with 102 more candidates got selected than Maharashtra state. What was the number of candidates appeared from each state? 

  1. AOption (a)

    3400

  2. BOption (b)

    3000

  3. COption (c)

    2850

  4. DOption (d)

    3200

View answer & explanation

Correct answer

Answer: (a)A.

3400

Why this answer is correct

Given:

Selected candidate in Maharashtra from the total appeared candidates = 9%

Selected candidate in Tripura from the total appeared candidates = 12%

In Tripura number of selected candidates more than that of Maharashtra = 102 

Calculation:

Let total number of candidates from each state be 100 unit.

Selected candidate in Maharashtra from the total appeared candidates = (9/100) × 100 = 9 unit.

Selected candidate in Tripura from the total appeared candidates = (12/100) × 100 = 12 unit.

In Tripura number of selected candidates more than that of Maharashtra = 102 

⇒ (12 – 9) unit = 102

⇒ 3 unit = 102

⇒ 1 unit = 102/3

⇒ 1 unit = 34

⇒ (1 × 100) unit = 34 × 100

⇒ 100 unit = 3400

∴ The number of candidates appeared from each state was 3400.

Question 78

NIMCET 2020• Full Test

Shiva gave 40% of his monthly salary to his mother from the remaining he used 7% for electronic gadgets and 23% he kept aside for his monthly expenses. The remaining amount he transferred to his friend's account. The sum of the amount he gave to his mother and he transferred to his friend account was 41000. What was Shiva's monthly salary? 

  1. AOption (a)

    50500

  2. BOption (b)

    49000

  3. COption (c)

    50000

  4. DOption (d)

    45000

View answer & explanation

Correct answer

Answer: (c)C.

50000

Why this answer is correct

Given:

Salary given to his mother = 40% = 2/5

From the remaining, he used for electronic gadgets and monthly expenses = (7 + 23)% = 30% = 3/10

Sum of the amount he gave to his mother and transferred to his friend account = Rs 41000

Calculation:

Let the sum of amount be 50 unit. (where 50 = product of denominator of given fraction 5 × 10)

Salary given to his mother = (2/5) × 50 = 20 unit.

Remaining salary after gave to his mother = 50 – 20 = 30 unit.

Electronics gadgets and monthly expenses from the remaining = (3/10) × 30 = 9 unit.

Remaining amount which transferred to his friend's account = 30 – 9 = 21 unit

Sum of amount he gave to his mother and his friend's account = 41000

⇒ (20 + 21) unit = 41000

⇒ 41 unit = 41000

⇒ 1 unit = 41000/41

⇒ 1 unit = 1000

⇒ (1 × 50) unit = 1000 × 50

⇒ 50 unit = 50000

∴ The monthly salary of Shiva is Rs. 50000 .

Question 79

NIMCET 2020• Full Test

Read the information given below and answer the questions that follow:

i. A * B means -> A and B are of the same age

ii. A - B means -> is younger than A

iii. A + B means -> A is younger than B

Sachin * Madan - Reena means?

  1. AOption (a)

    Reena is youngest

  2. BOption (b)

    Reena is oldest

  3. COption (c)

    Madan is younger than Reena

  4. DOption (d)

    Madan is the youngest

View answer & explanation

Correct answer

Answer: (a)A.

Reena is youngest

Why this answer is correct

i. A * B means -> A and B are of the same age

ii. A - B means -> B is younger than A → A is older than B

iii. A + B means -> A is younger than B

A is
*+-
=<>
To B

Sachin * Madan - Reena means?

Sachin = Madan > Reena means Reena is the youngest.

Hence, ‘Reena is youngest’ is the correct answer.

Question 80

NIMCET 2020• Full Test

Read the information given below and answer the questions that follow:

i. A * B means -> A and B are of the same age

ii. A - B means -> is younger than A

iii. A + B means -> A is younger than B

X + Y + Z is same as _____?

  1. AOption (a)

    Y - X - Z

  2. BOption (b)

    Z - Y - X

  3. COption (c)

    Z - X - Y

  4. DOption (d)

    X - Y - Z

View answer & explanation

Correct answer

Answer: (b)B.

Z - Y - X

Why this answer is correct

i. A * B means -> A and B are of the same age

ii. A - B means -> B is younger than A → A is older than B

iii. A + B means -> A is younger than B

A is
*+-
=<>
To B

X + Y + Z → X < Y < Z

1) Y - X – Z → Y > X > Z → Z < X < Y

2) Z - Y – X → Z > Y > X → X < Y < Z

3) Z - X – Y → Z > X > Y → Y < X < Z

4) X - Y – Z → X > Y > Z → X > Y > Z

So, X + Y + Z is same as Z - Y – X.

Hence, ‘Z - Y – X’ is the correct answer.