Correct Answer: 26

Solution : Given:
The mean of 9 observations is 16. One more observation is included and the new mean after becomes 17.
Tenth observation = sum of ten observations – sum of nine observations
= (17 × 10) – (16 × 9)
= 170 – 144
= 26
Hence, the correct answer is 26.

Correct Answer: 15

Solution : Let, the number be x
According to the question –
x + (x + 1) + 4(x + 1) = 95
By solving the above equation –
6x + 5 = 95 
6x = 95 – 5
6x = 90
x = 90 ÷ 6 = 15

So, the number is 15. Hence, the fourth option is correct.
 

Correct Answer: 2

Solution : Let the number be $x$.
According to the question,
40% of $\frac{4}{5}$ of $\frac{3}{4}$ of $x$ = 48
⇒ $x=48\times \frac{100}{40}\times\frac{5}{4} \times \frac{4}{3}$
⇒ $x = 200$
So, 1% of 200 = 2
Hence, the correct answer is 2.

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the second option is correct.

Correct Answer: Samvedic Samhita

Solution : The correct option is Samvedic Samhita.

Indian music may be traced back to the Samvedic Samhita. The Samvedic Samhitas are the four Vedas, Hinduism's sacred books. The Samaveda is one of the four Vedas and is a compilation of originally sung hymns. These hymns evolved into the many styles of Indian music that we know today. The Samaveda is thought to have been written approximately 1500 BCE.

Correct Answer: am going to buy

Solution : The first option is correct.

In this context, the correct phrase to use is I am going to buy, which indicates the speaker's intention or plan to purchase a cupboard. The future simple tense is used to express a future action or event that is not dependent on any other actions or events.

Therefore, the correct sentence should be, "I am going to buy a cupboard which will fit under the stairs".

Correct Answer: Frall

Solution : The third option is correct.

Vigorous refers to being full of physical strength, energy, or determination. On the other hand, frail describes something or someone that is physically weak or delicate, lacking in strength and robustness.

The meanings of the other options are as follows:

• Buoyant means cheerful, optimistic, or able to float on water.
• Sturdy means strong and robust in build.
• Robust means strong and healthy, full of vigour and vitality.

Correct Answer: 39

Solution : Given: The average of $n$ observations is 40.
One observation of value 80 is added, and then the average of all the observations is 41.
The initial number of observations = $\frac{\text{(The new observation – The new average)}}{\text{The change in average}}$
⇒ $n=\frac{80–41}{1}$
⇒ $n=39$
Hence, the correct answer is 39.

Correct Answer: Was wild with excitement

Solution : The correct choice is the first option.

Explanation: The phrase "carried off his feet" is an idiom that expresses a state of being overwhelmed with a particular emotion, often excitement or joy. In this context, the intended meaning is that the person was extremely excited when declared the winner of the prize. The expression suggests a sense of being emotionally swept away or carried away by the intensity of the emotion, which aligns with the idea of being "wild with excitement".

Therefore, the correct answer is wild with excitement.

Correct Answer: (15, 26, 31)

Solution : Given:
(16, 22, 28); (14, 19, 23)

The pattern here is – (The third number – The first number) + 10 = The second number
(16, 22, 28)→(28 – 16) + 10 = 12 + 10 = 22
(14, 19, 23)→(23 – 14) + 10 = 9 + 10 = 19
Let's check the options –
First option: (12, 18, 25)→(25 – 12) + 10 = 13 + 10 = 23 ≠ 18
Second option: (13, 21, 27)→(27 – 13) + 10 = 14 + 10 = 24 ≠ 21
Third option: (15, 26, 31)→(31 – 15) + 10 = 16 + 10 = 26
Fourth option: (17, 24, 41)→(41 – 17) + 10 = 24 + 10 = 34 ≠ 24

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