Correct Answer: 55°

Solution : Let the equal angles of the triangle be $a$.
We know, the sum of the three angles of a triangle = 180°
According to the question,
$a + a + 70° = 180°$
⇒ $2a = 180° – 70°$
$\therefore a = 55°$
Hence, the

Correct Answer: 12%

Solution : Percentage of tubes in Pune Plant = 28%
Percentage of tubes in Nagpur Plant = 25%
$\therefore$ Required percentage = $\frac{28-25}{25}\times$100 = 12%
Hence, the correct answer is 12%.

Correct Answer: 73

Solution : Deducting the remainder:
554 – 43 = 511
714 – 57 = 657
213 – 67 = 146
Now, Factors of 511 = 73 × 7
Factors of 657 = 73 × 3 × 3 
Factors of 146 = 73 × 2
HCF of 551,

Correct Answer: To leave a situation

Solution : The correct choice is the second option.

The idiom to beat a retreat originates from military terminology. It means to withdraw or retreat hastily, especially from a difficult or dangerous situation. In a military context, the sound of a retreat or drumming

Correct Answer: 2013

Solution : The correct option is 2013.

In India, the National Food Security Act (NFSA) was passed into law in 2013. On September 12, 2013, the Indian Parliament enacted the Act. The main goal of the NFSA is to provide food security and address issues of

Correct Answer: INR 56,000

Solution : Given: Amount = INR 64827
Period = 18 months ⇒ n = 3 
Half-yearly interest, R = $\frac{10}{2}$ ⇒ R = 5%
According to the question,
⇒ $A =P(1+\frac{R}{100})^n$   
⇒ $64827=P(1+\frac{5}{100})^3$
⇒ $64827=P(1+\frac{1}{20})^3$
⇒ $64827=P\times\frac{21}{20}\times\frac{21}{20}\times\frac{21}{20}$
⇒ $P=\frac{64827\times20\times20\times20}{21\times21\times21}$
$\therefore P= 56000$
Hence, the correct answer

Correct Answer: (1)

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

The word "wanted" should be replaced with "required" because "wanted" means being searched for by the police in connection with a crime, whereas the word "required" is more appropriate because it directly conveys the idea

Correct Answer: 17

Solution : Given:
33 : 10 :: 54 : ?

Like, 33 : 10→33 ÷ 3 = 11; 11 – 1 = 10
Similarly, for 54 : ?→54 ÷ 3 = 18; 18 – 1 = 17

So, 54 is related to 17. Hence, the second option

Correct Answer: 24

Solution : The given figure can be labelled as shown below –

Now, in the above figure, there are a total of 24 triangles. They are ABN, BCN, ABC, CDL, DLE, CDE, EFM, FMG, EFG, HMG, FGH, HIK, IJK, HIJ, ANJ, ABJ, IND, MID, ADK, GDK, BLI,

Correct Answer: 198

Solution : $x^2+6x+1=0$
On dividing both sides by $x$,
$⇒x+6+\frac{1}{x}=0$
$⇒x+6=-\frac{1}{x}$ 
$⇒x=\frac{-1}{x+6}$
$⇒x+\frac{1}{x+6}=0$
Adding both sides 6.
$⇒x + 6+\frac{1}{x+6}=6$
Cubing both sides of the equation
Now, $(x+6)^3+\frac{1}{(x+6)^3} = 6^3-3\times 6$
$=198$
Hence, the correct answer is 198.