Correct Answer: (4)

Solution : The correct choice is the fourth option since the sentence is grammatically accurate and doesn't need any change. The sentence conveys the idea that the particular matter is of great significance and should not be treated lightly. Much too is an adverb that specifically explains the quality of the adjective.

Correct Answer: 119

Solution : $\frac{4\left[(17)^3-(7)^3\right]}{\left(17^2+7^2+p\right)}=40$
We know that, $(a^3-b^3)=(a-b)(a^2+ab+b^2)$
⇒ $\frac{\left(17-7)\right(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=10$
⇒ $\frac{10(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=10$
⇒ $\frac{(17^2+17\times 7+7^2)}{\left(17^2+7^2+p\right)}=1$
⇒ $17^2+17\times 7+7^2=17^2+7^2+p$
$\therefore p=17\times7=119$
Hence, the correct answer is 119.

Correct Answer: Kenya

Solution : The correct answer is Kenya.

Masai tribe is an ethnic group found in Kenya and northern Tanzania. They inhabit the regions of Lake Turkana and nearby areas of Lower Nile river. The Maasai are worldwide recognized for their particular culture, celebrations, 'high jumping dance,' custom dress, and brave warriors. 

Correct Answer: 8 A 8 B 8 C 8 = – 48

Solution : Let's check the options –
First option: 8 B 6 D 2 A 4 C 3 = 15
On replacing the letters with mathematical signs, we get –
8 – 6 ÷ 2 + 4 × 3 = 15
On solving the L.H.S. of the equation, we get –
= 8 – 6 ÷ 2 + 4 × 3
= 8 – 3 + 4 × 3
= 8 – 3 + 12
= 17 ≠ 15
Second option: 8 A 8 B 8 C 8 = – 48
On replacing the letters with mathematical signs, we get –
8 + 8 – 8 × 8 = – 48
On solving the L.H.S. of the equation, we get –
= 8 + 8 – 8 × 8
= 8 + 8 – 64
= – 48
Third option: 9 C 9 B 9 D 9 A 9 = 17
On replacing the letters with mathematical signs, we get –
9 × 9 – 9 ÷ 9 + 9 = 17
On solving the L.H.S. of the equation, we get –
= 9 × 9 – 9 ÷ 9 + 9
= 9 × 9 – 1 + 9
= 81 – 1 + 9
= 89 ≠ 17
Fourth option: 3 A 3 B 3 C 3 A 3 D 3 = 4
On replacing the letters with mathematical signs, we get –
3 + 3 – 3 × 3 + 3 ÷ 3 = 4
On solving the L.H.S. of the equation, we get –
= 3 + 3 – 3 × 3 + 3 ÷ 3
= 3 + 3 – 3 × 3 + 1
= 3 + 3 – 9 + 1
= – 2 ≠ 4

Hence, the second option is correct.

Correct Answer: You did not make the painting.

Solution : The correct choice is the third option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The structure of the active voice in the case of the simple past tense in a negative form is: "Subject + did + not + base form of the verb + object."

Therefore, the correct answer is: "You did not make the painting."

Correct Answer: $3$

Solution : 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 + 3}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {8 + 3}]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of 11]
= 120 ÷ 15 of 4 + [11 × 4 ÷ 44]
= 120 ÷ 15 of 4 + [11 × $\frac{1}{11}$]
= 120 ÷ 15 of 4 + 1
= 120 ÷ 60 + 1
= 2 + 1
= 3
Hence, the correct answer is $3$.

Correct Answer: 273

Solution : The ratio of 2nd : 3rd = 9 : 13
And the ratio of 1st : 3rd = 2:7
3rd number is common in both ratios, so to make the value equal, we need to multiply by 7 in 9 : 13 and by 13 in 2 : 7.
We get 1st : 2nd : 3rd = 26 : 63 : 91
Let the 1st, 2nd and 3rd number be 26x, 63x, and 91x.
According to the question,
26x + 63x + 91x = 540
⇒ 180x = 540
$\therefore$ x = 3
Thus, the 3rd number = (91 × 3) = 273
Hence, the correct answer is 273.

Correct Answer: $h(\cot\alpha+\cot\beta)$

Solution :
$AD=h$ unit
In $\Delta ADB$,
$\tan\alpha=\frac{AD}{BD}$
$⇒\tan\alpha=\frac{h}{BD}$
$⇒BD=h\cot\alpha$ --------------------------------------(1)
In $\Delta ADC$,
$\tan\beta=\frac{AD}{DC}$
$⇒\tan\beta=\frac{h}{DC}$
$⇒DC=h\cot\beta$ -------------------------------------(2)
Now $BC=BD+DC$
$⇒BC=h\cot\alpha+h\cot\beta$
$\therefore BC=h(\cot\alpha+\cot\beta)$
Hence, the correct answer is $h(\cot\alpha+\cot\beta)$.

Correct Answer: varied

Solution : The third option is the correct choice.

In the context of posters, the sentence discusses the different purposes or uses of posters, which can range from cautionary messages to advertising sales or events. Varied means diverse or having a wide range of different kinds, which fits well in this context.

The meanings of the other options are as follows:

• Little: It means a small amount, not much, or a small degree of something.

• Much: It means a large amount or a high degree of something.

• Similar: It denotes having qualities or characteristics that are alike or resemble each other.

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

The sentence contains an error in verb tense consistency. The verb form has should be changed to had to maintain the past tense consistency since the sentence is referring to a past event. Moreover, childish should be replaced with childlike, as childish means silly, whereas childlike means having the good qualities, such as innocence, associated with a child.

Therefore, the correct sentence is: "It was only when they met that they found he had a childlike simplicity in him".