Correct Answer: 71

Solution : The numbers that are divisible by both 2 and 7 = 2 × 7 = 14
The smallest number divisible by 14 = 14
The largest number divisible by 14 = 994 (nearest to 1000)
Let the required number be $n$.
Now, $a_n=a+(n-1)d$, where $a_n$

Correct Answer: 0.9

Solution : $0.15 = \frac{15}{100}$
$0.18 =\frac{18}{100}$
$0.45 =\frac{45}{100}$
We know, LCM of fractions = $\frac{\text{LCM of numerators}}{\text{HCF of denominators}}$
So, LCM of $ \frac{15}{100}, \frac{18}{100}$, and $\frac{45}{100}=\frac{90}{100}=0.9$
Hence the correct answer is 0.9.

Correct Answer: To listening attentively.

Solution : The correct choice is the second option.

Explanation:

The idiom all ears is commonly used to convey the idea of someone being fully attentive and eager to listen. It doesn't have a literal meaning but rather a figurative one, suggesting that someone

Correct Answer: 1995

Solution : The correct option is 1995.

The World Trade Organisation began operations on January 1st, 1995. It is in charge of regulating global trade and helps its 164 members negotiate trade deals. The organization also functions as a forum for resolving trade disputes between nations,

Correct Answer: 0.666

Solution : Given: The expression is $\frac{4.669 \times 4.669–9 \times(0.777)^2}{(4.669)^2+(2.331)^2+14(0.667)(2.331)}=(1 - k)$
Use the algebraic identities, $(a+b)^2=a^2+b^2+2ab$ and $a^2-b^2=(a+b)(a-b)$
⇒ $\frac{4669 \times 4669–9 \times(777)^2}{(4669)^2+(2331)^2+14(0667)(2331)}=(1 - k)$
⇒ $\frac{(4669)^2–(2331)^2}{(4669)^2+(2331)^2+2(4669)(2331)}=(1 - k)$
⇒ $\frac{(4669)^2–(2331)^2}{(4669+2331)^2}=(1 - k)$
⇒ $\frac{(4669–2331)(4669+2331)}{(4669+2331)^2}=(1 - k)$
⇒ $\frac{(4669–2331)}{(4669+2331)}=(1 - k)$
⇒ $\frac{2338}{7000}=(1 - k)$
⇒

Correct Answer: $0$

Solution : The equation $\cos A + \cos B + \cos C = 3$ holds when $A = B = C = 0°$ because the maximum value of $\cos \theta$ is $1$. 
Since $\sin 0° = 0$, the value of $\sin A + \sin B + \sin

Correct Answer:

Solution : London is the capital of the United Kingdom and is a country in Northwestern Europe. Therefore, the circle of London lies inside the circle of the United Kingdom and the circle of the United Kingdom lies inside the circle of Europe.
The Venn diagram is as

Correct Answer: 73.6%

Solution : Mohan's marks in Chemistry = 300 × $\frac{70}{100}$ = 210
Mohan's marks in Mathematics = 300 × $\frac{75}{100}$ = 225
Mohan's marks in Physics = 150 × $\frac{80}{100}$ = 120
Mohan's marks in Hindi = 300 × $\frac{65}{100}$ = 195
Mohan's marks in English =

Correct Answer:

Solution : According to the given figures –
1. The elements inside the box are interchanging their positions with the opposite elements.
2. The elements on the right side and the bottom of the box are interchanged alternately with the new elements.
The required figure is as follows

Correct Answer: A is the brother of Y’s mother

Solution : Given:
Z @ A⇒Z is the son of A.
Z * A⇒Z is the brother of A.
Z × A⇒Z is the father of A.
Z # A⇒Z is the sister of A.
Z + A ⇒Z is the