It's a Question of your Career!

Correct Answer: PWNWO

Solution : Given:
RAJAT is coded as UCMCW, and NIRAJ is coded as QKUCM. 

Add 3 and 2 to the place values of the alternative letters of RAJAT, to obtain the required code –
R + 3 = U; A + 2 = C; J + 3 = M; A + 2 = C; T + 3 = W
Thus, RAJAT is coded as UCMCW.
And, NIRAJ is coded as QKUCM –
N + 3 = Q; I + 2 = K; R + 3 = U; A + 2 = C; J + 3 = M
Thus, NIRAJ is coded as QKUCM.
Similarly, follow the same pattern for MUKUL –
M + 3 = P; U + 2 = W; K + 3 = N; U + 2 = W; L + 3 = O

Thus, MUKUL is coded as PWNWO. Hence, the first option is correct. 

Correct Answer: 51A

Solution : The Correct Option is 51A.

Fundamental duties were suggested by the Swaran Singh Committee in 1976, and their importance became apparent during the internal emergency of 1975–1977. Ten Fundamental Duties were introduced to the Indian Constitution by the 42nd Amendment Act of 1976. Later, the 11th Fundamental Duty was added to the list by the 86th Amendment Act of 2002.

Correct Answer: (7, 70, 700)

Solution : Given:
(5, 50, 500); (3, 30, 300)

Multiply the first number by 10, to obtain the second number, and multiply the second number by 10, to obtain the third number –
⇒ (5, 50, 500)→5 × 10 = 50; 50 × 10 = 500
⇒ (3, 30, 300)→3 × 10 = 30; 30 × 10 = 300

Let's check the options –
First option: (11, 110, 2200)→11 × 10 = 110; 110 × 10 = 1100 ≠ 2200
Second option: (7, 70, 700)→7 × 10 = 70; 70 × 10 = 700
Third option: (14, 140, 1500)→14 × 10 = 140; 140 × 10 = 1400 ≠ 1500
Fourth option: (12, 220, 440)→12 × 10 = 120 ≠ 220; 220 × 10 = 2200 ≠ 440

So, only the second option follows the same pattern as the given set of numbers. Hence, the second option is correct. 

Correct Answer: 27

Solution : Given:
16, 16, 17, 21, 27, 46, 71

Add the square of the consecutive whole numbers to the previous term to obtain the next term –
16 + (0)² = 16; 16 + (1)² = 17; 17 + (2)² = 21; 21 + (3)² = 30 ≠ 27; 30 + (4)² = 46; 46 + (5)² = 71

So, 27 is the wrong term in the given series. Hence, the first option is correct.

Correct Answer: pretty in this

Solution : The first option is the correct choice.

The error in the original sentence is that on these is not the appropriate phrase to describe how someone looks in an outfit. The correct preposition to use in this context is in. On typically denotes a surface or position, whereas in usually signifies inclusion or location within something.

Therefore, the correct sentence should be: You are looking so pretty in this black outfit.

Correct Answer:

Solution : According to the given figures, two types of patterns are followed alternatively –
1. The first two elements are interchanging their positions and the last two elements are interchanging their positions respectively.
2. The first two elements are interchanging their positions with the last two elements.

So, following the above pattern, the required figure will be as follows –

Therefore, the figure in the second option is the required figure. Hence, the second option is correct.

Correct Answer: ×, +, ÷, –, =

Solution : Given:
31 * 2 * 60 * 30 * 15 * 49

Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the options –
First options: ×, ÷, +, –, =
31 × 2 ÷ 60 + 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 ÷ 60 + 30 – 15
= 31 × 0.033 + 30 – 15
= 1.023 + 30 – 15
= 16.023 ≠ 49
Second option: ×, –, +, ÷, =
31 × 2 – 60 + 30 ÷ 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 – 60 + 30 ÷ 15
= 31 × 2 – 60 + 2
= 62 – 60 + 2
= 4 ≠ 49
Third option: –, ÷, +, ×, =
31 – 2 ÷ 60 + 30 × 15 = 49
On solving the L.H.S. of the given equation –
= 31 – 2 ÷ 60 + 30 × 15
= 31 – 0.033 + 30 × 15
= 31 – 0.033 + 450
= 480.967 ≠ 49
Fourth option: ×, +, ÷, –, =
31 × 2 + 60 ÷ 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 + 60 ÷ 30 – 15
= 31 × 2 + 2 – 15
= 62 + 2 – 15
= 49

So, the fourth option satisfies the equation. Hence, the fourth option is correct.

Correct Answer: (20, 18, 16)

Solution : Given: 
(36, 24, 65); (40, 54, 19)

The pattern followed here is –
(36, 24, 65) = {(36 ÷ 4) + (24 ÷ 6)} × {(36 ÷ 4) – (24 ÷ 6)}
= {9 + 4} × {9 – 4}
= 13 × 5
= 65
(40, 54, 19) = {(40 ÷ 4) + (54 ÷ 6)} × {(40 ÷ 4) – (54 ÷ 6)}
= {10 + 9} × {10 – 9}
= 19 × 1 
= 19
Let's check the options –
First Option: (10, 21, 321) = {(10 ÷ 4) + (21 ÷ 6)} × {(10 ÷ 4) – (21 ÷ 6)}
= {2.5 + 3.5} × {2.5 – 3.5}
= 6 × –1 
= –6 ≠ 321
Second Option: (20, 18, 16) = {(20 ÷ 4) + (18 ÷ 6)} × {(20 ÷ 4) – (18 ÷ 6)}
= {5 + 3} × {5 – 3}
= 8 × 2 
= 16
Third Option: (13, 8, 98) = {(13 ÷ 4) + (8 ÷ 6)} × {(13 ÷ 4) – (8 ÷ 6)}
= {3.25 + 1.33} × {3.25 – 1.33}
= 4.58 × 1.92
= 8.7936 ≠ 98
Fourth Option: (30, 14, 56) = {(30 ÷ 4) + (14 ÷ 6)} × {(30 ÷ 4) – (14 ÷ 6)}
= {7.5 + 2.33} × {7.5 – 2.33}
= 9.83 × 5.17
= 50.8211 ≠ 56

So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.

Correct Answer: (4)

Solution : There is no error in the sentence.
The sentence is free from grammatical inaccuracies.

Therefore, the correct choice is the fourth option.

Correct Answer: (2)

Solution : The correct option is the second option.

Explanation: It conveys the idea that the slow progress was due to the process of searching for them repeatedly.

The other options are not the best choice and also they do not convey the intended meaning of the sentence.

So, the sentence should be: "Our progress was slow through having to search for them at frequent intervals."