Correct Answer: Bal Gangadhar Tilak

Solution : The correct answer is Bal Gangadhar Tilak.

Bal Gangadhar Tilak disagreed with its moderate stance, particularly about the struggle for self-government. He started a large-scale movement for independence by focusing on religious and cultural renewal.

Correct Answer: 5 days

Solution : Time taken by A to do the work = 16 days
Part of work done by A in a day = $\frac{1}{16}$
Time taken by B to do the work = 12 days
Part of work done by B in a day = $\frac{1}{12}$
Part of work done by A and B in 4 days = 4 × ( $\frac{1}{16}$+$\frac{1}{12}$) = 4 × $\frac{3+4}{48}$ = $\frac{7}{12}$
Remaining work = $1-\frac{7}{12}$ = $\frac{5}{12}$
Time taken by B to do the remaining work = $\frac{\frac{5}{12}}{\frac{1}{12}}$ = 5 days
Hence, the correct answer is 5 days.

Correct Answer: ownership

Solution : The correct answer is ownership.

Ownership Industries can be divided into four categories: joint, cooperative, state-owned, or public and private. Industries in the private sector are owned and run by a single person or a group of people.

Correct Answer: Four

Solution : The correct option is Four.

India's goods and services tax (GST) has four tax slabs.

• 5% - This slab is applied to essential goods.
• 12% - Goods and services falling under this slab included items that were neither classified as essential nor as luxury.
• 18% - This slab covered a range of goods and services, including items considered in the mid-tier in terms of taxation.
• 28% - This is the highest slab, applied to luxury goods and services.

Correct Answer: 45

Solution : Given:
WORK is coded as 67, and CUP is coded as 40.

Add the positional values of the alphabet of the given word to obtain the code.
WORK→23 + 15 + 18 + 11 = 67
CUP→3 + 21 + 16 = 40
Similarly, KITE→11 + 9 + 20 + 5 = 45

So, KITE is coded as 45. Hence, the second option is correct.

Correct Answer: –4

Solution : Given:
–67, –64, –58, –49, –37, –22, ?

The pattern is as follows –
–67 + 3 = –64; –64 + 6 = –58; –58 + 9 = –49; –49 + 12 = –37; –37 + 15 = –22; –22 + 18 = –4

So, the missing number is –4. Hence, the third option is correct.

Correct Answer: 36 + 6 – 3 × 2 = 20

Solution : Given:
+ means ÷, × means +, – means ×, and ÷ means –

Let's check the options –
First option: 36 × 6 + 3 – 2 < 20
= 36 + 6 ÷ 3 × 2
= 36 + 2 × 2
= 36 + 4
= 40 > 20; L.H.S. is not smaller than R.H.S.
Second option: 36 × 6 + 3 × 2 = 20
= 36 + 6 ÷ 3 + 2
= 36 + 2 + 2
= 40 ≠ 20; L.H.S. ≠ R.H.S.
Third option: 36 + 6 × 3 + 2 = 20
= 36 ÷ 6 + 3 ÷ 2
= 6 + 1.5
= 7.5 ≠ 20; L.H.S. ≠ R.H.S.
Fourth option: 36 + 6 – 3 × 2 = 20
= 36 ÷ 6 × 3 + 2 = 20
= 6 × 3 + 2
= 18 + 2
= 20; L.H.S. = R.H.S.

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

Correct Answer: – and =

Solution : Given:
9 ÷ 3 + 7 = 4 – 6

Replace the given symbols according to the options one by one with the original symbols in the given equation.
First option: – and =
⇒ 9 ÷ 3 + 7 – 4 = 6
= 3 + 7 – 4
= 6 = R.H.S.
Second option: ÷ and –
⇒ 9 – 3 + 7 = 4 ÷ 6
= 13 ≠ 0.67
Third option: + and –
⇒ 9 ÷ 3 – 7 = 4 + 6
= 3 – 7 = 10
= –4 ≠ 10
Fourth option: ÷ and =
⇒ 9 = 3 + 7 ÷ 4 – 6
= 9 = 3 + 1.75 – 6
= 9 ≠ –1.25

So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.

Correct Answer: KFNY

Solution : Given:
PRAY : UWFD :: MONK : RTSP :: FAIT : ?

Like, PRAY : UWFD→P(16) + 5 = U(21); R(18) + 5 = W(23); A(1) + 5 = F(6); Y(25) + 5 = D(4)
And, MONK : RTSP→M(13) + 5 = R(18); O(15) + 5 = T(20); N(14) + 5 = S(19); K(11) + 5 = P(16)
Similarly, for FAIT : ?→F(6) + 5 = K(11); A(1) + 5 = F(6); I(9) + 5 = N(14); T(20) + 5 = Y(25)

So, KFNY is related to FAIT. Hence, the second option is correct.

Correct Answer: 40 days

Solution : Let the number of days be $D$ for 14 boys working 12 hours per day.
Use the formula: $M_1D_1H_1= M_2D_2H_2$
Where $M_1$ and $M_2$ are persons, $D_1$ and $D_2$ are days and $H_1, H_2$ are hours per day.
⇒ 42 × 20 × 8 = 14 × D × 12
⇒ $D$ = 40 
Hence, the correct answer is 40 days.