Correct Answer: 1

Solution : The least common multiple (LCM) of 4, 5, 6, and 7 is 420.
The required largest 4-digit number will be a multiple of 420.
Remainder of $\frac{9999}{420}$ is 339.
The largest 4-digit number will be 9999 – 339 = 9660 which is divisible by 4,

Correct Answer: $1000\sqrt{3}$

Solution :  
Let D be the aeroplane.
A and B are two ships.
Given:
$CD = 1500 \text{ m,} \angle EDA = 30^{\circ}, \angle EDB = 60^{\circ}$
 In $\triangle DBC,$
$\tan 60^{\circ} = \frac{DC}{BC}$
$\Rightarrow \sqrt{3} = \frac{1500}{BC}$
$\Rightarrow BC = \frac{1500}{\sqrt{3}} \text{ m}$
In $\triangle ADC,

Correct Answer: for a hour

Solution : The correct choice is the first option.

Explanation: The use of "an" before "hour" is correct because it follows the rule of using "an" before words that begin with a vowel sound. In this case, the pronunciation of "hour" starts with a

Correct Answer: 28

Solution : The figure can be labeled as shown below –

There are 28 triangles in the above figure. They are AFG, AEG, AFE, BFJ, BDJ, BFD, CEI, CDI, CED, ABD, ACD, ABC, AHB, AHE, DEF, DEG, DFG, GHE, DEH, JHD, BEC, BHD, AEB, AFD, AED, DJE,

Correct Answer: NGEOISU

Solution : Given:

GARNISH is written as RGAINHS.

In the code language –

• The first letter becomes the second letter.
• The second letter becomes the third letter.
• The third letter becomes the first letter.
• The fifth and sixth letters swap their positions.
• The sixth and seventh letters

Correct Answer: 41 - 72 

Solution : Let's check the options —

First option: 41 - 72; 4 + 1 = 5; 7 + 2 = 9. The sum of the digits of the two numbers is not equal. This option is different from the other options.

Second option: 12

Correct Answer:

Fats

Solution : The correct option is Fats.

Beside carbohydrates, fats are an important source of energy in our diet. Lipids, or fats, are a concentrated and effective type of energy storage. Fats provide more energy per gram when broken down and metabolised than carbohydrates or proteins. Fats

Correct Answer: $y$

Solution : Given:
$x+y+z=0$
We know, $x^3+y^3+z^3-3xyz=0$
⇒ $x^3+y^3+z^3 = 3xyz$
Now, $\frac{x^2}{3z}+\frac{y^3}{3xz}+\frac{z^2}{3x}$
= $\frac{x^3+y^3+z^3 }{3xz}$
= $\frac{3xyz}{3xz}$
= $y$
Hence, the correct answer is $y$.

Correct Answer: To have a selfish motive in doing something

Solution : The correct meaning is the first option.

Explanation: In this idiom, the metaphorical axe represents a hidden agenda or personal bias that may influence one's actions or opinions. When someone has an axe to grind, they have

Correct Answer: 81

Solution : Given: 

In the first column, 4 x 8 = 32 → 32 + 3 = 35

In the second column, 7 x 6 = 42 → 42 + 7 = 49

In the