Correct Answer: $\sec^{2}23°$

Solution : $2\ \text{cosec}^{2}\: 23°\cot^{2}67°-\sin^{2}23°-\sin^{2}67°-\cot^{2}67°$
$=2\: \frac{1}{\sin^{2}\: 23°}\tan^{2}23°-\sin^{2}23°-\cos^{2}23°-\tan^{2}23°$
$=2\: \frac{1}{\cos^{2}23°}-(\sin^{2}23°+\cos^{2}23°)-\frac{\sin^{2}23°}{\cos^{2}23°}$
$=2\: \frac{1}{\cos^{2}23°}-1-\frac{\sin^{2}23°}{\cos^{2}23°}$
$=\frac{2-\cos^2 23° - \sin^223°}{\cos^2 23°}$
$=\frac{2-1}{\cos^2 23°}$
$=\sec^2 23°$
Hence, the correct answer is $\sec^2 23°$.

Correct Answer: Compassionate

Solution : The correct antonym is the fourth option: Compassionate.

Explanation for each option:

1. Malicious - This word is a synonym of "pernicious" and does not provide an appropriate antonym. Both words have a similar meaning of causing harm or being harmful.

2. Wicked - This word is

Correct Answer: can see

Solution : The correct choice is the fourth option.

In the present tense, for the third-person singular (he, she, it), verbs usually have an "s" added at the end (e.g., sees, goes, does). However, for the first-person singular "I" and plural subjects, the base form of

Correct Answer:

Solution : Correct Answer is  Money wage/ Price level

Real wages reflect the effects of inflation and demonstrate the relative purchasing power of a paycheque. The amount of the good that one hour of work can buy is transparently measured by the real wage rate, which is the

Correct Answer: YWZZ

Solution : Given:
Z_XW_ZYXXW_YYXW_

To fill the series we have to divide the series – Z_XW / _ZYX / XW_Y / YXW_
Let's check each option –
First option: ZYWZ; ZZXW / YZYX / XWWY / YXWZ (No repeated pattern has

Correct Answer: $(0.7)^{2}$

Solution : $\frac{4}{9} = 0.44$
$\sqrt{\frac{9}{49}} = \frac{3}{7} = 0.42$
$0.\overline{47} = 0.4747........$
$(0.7)^{2} = 0.49$
So, the largest number among these is $(0.7)^{2}$.
Hence, the correct answer is $(0.7)^{2}$.

Correct Answer: 1

Solution : Given that $\angle A = 30^{\circ}$
We know that, $\sin A = \sin 30°= \frac{1}{2}$
Now, Substitute $\sin A = \frac{1}{2}$ into the expression $3 \sin A - 4 \sin^3 A$:
$3 \sin A - 4 \sin^3 A = 3 \times \frac{1}{2} - 4 \times

Correct Answer: down

Solution : The fourth option is the correct answer. In this context, "down" is used to indicate that the elephant ran forcefully through the streets, causing destruction along the way. It conveys the idea that the elephant moved in a downward direction along the streets.

"Off": "Tore

Correct Answer: 34

Solution : The correct answer is 34.

The first passenger train ran between Bori Bunder (Bombay) and Thane on April 16, 1853, spanning a distance of 34km. It was started by the then-Governor General of British India, Lord Dalhousie.

Correct Answer: Son's wife

Solution : Given:
S + T means S is the son of T,
R – S means R is the wife of S,
P × Q means P is the brother of Q,
Q ÷ R means Q is the mother of R.

According to the