Correct Answer: 29

Solution : Numbers from 17 to 457 which are divisible by both 5 and 3
= multiples of 15 greater than 17 and lesser than 457
= 30, 45,......450
= (15 × 2), (15 × 3),........(15 × 30)
Total number = 2nd term to 30th term =

Correct Answer: $9 \frac{9}{16}$

Solution : Given: $(4 y-\frac{4}{y})=11$
 ⇒ $(y-\frac{1}{y})=\frac{11}{4}$
Squaring both sides, we get:
$(y-\frac{1}{y})^2=\frac{121}{16}$
⇒ $y^2+\frac{1}{y^2}-2×y×\frac{1}{y}=\frac{121}{16}$
⇒ $y^2+\frac{1}{y^2} = \frac{121}{16} +2$
$= \frac{121+32}{16}$
$= \frac{153}{16}$
$= 9\frac{9}{16}$
Hence, the correct answer is $9\frac{9}{16}$.

Correct Answer: First Generation

Solution : The correct option is First Generation.

First-generation computers, including ENIAC and UNIVAC I, used vacuum tubes for electronic circuitry. Vacuum tubes were later replaced by transistors in the Second Generation, leading to improvements in reliability, size, and power consumption.

Correct Answer: Assimilate

Solution : The first option is correct.

Attune: This word means to bring into harmony or accord, to adjust or adapt, especially in terms of ideas, feelings, or actions.

Assimilate: This synonym also involves the idea of adjusting or adapting, but specifically, it means to take in

Correct Answer: 15

Solution : Diameter = $42 ~cm$
Radius, $r$ = $21 ~cm$
Let $l$ be the slant height.
Curved surface area of a right circular cone = $990 \ \text{cm}^2$
⇒ $\pi r l = 990$
⇒ $\frac{22}{7}×21×l = 990$
⇒ $l$ = $\frac{990}{66} = 15 \ \text{cm}$

Correct Answer: Both conclusions (I) and (II) follow

Solution : According to the above statements, the following Venn diagram can be drawn –

Let's analyse the conclusions –
Conclusion I: Some houses are shoes – From the above diagram, it can be seen that the circle representing shoes intersect the

Correct Answer: KML

Solution : Let's check the options –
First option: SVT→S + 3 = V; V – 2 = T
Second option: KML→K + 2 = M; M – 1 = L
Third option: DGE→D + 3 = G; G – 2 = E
Fourth option: NQO→N +

Correct Answer: (3)

Solution : The third option is the correct answer.

According to the first conditional, the first clause should be in the simple present tense followed by the other in the simple future tense.

Therefore, the correct answer is: Be quick otherwise you will miss the train.

Correct Answer: It looks like our worst fears are coming true.

Solution : The correct choice is the third option.

The superlative degree of comparison is used to express the highest level of quality. In this case, the sentence discusses fears, and to convey the most extreme level, the superlative

Correct Answer: STORY

Solution : Given:
SYNTHESIS

Now, let's compare all the option words with the word SYNTHESIS –
First option: THESIS; All the letters of THESIS are present in the word SYNTHESIS.
Second option: STORY; O and R are not present in the word SYNTHESIS. Therefore, all the letters