Correct Answer: 8800 cm³

Solution : Given, height $= h = 21\ \mathrm{cm}$
Slant height $=l=29\ \mathrm{cm}$
Let $r$ be the radius.
We know, $l^2=h^2+r^2$
⇒ $r^2=l^2-h^2$
⇒ $r^2=29^2-21^2$
⇒ $r^2=841-441$
⇒ $r^2=400$
⇒ $r=20$ cm
Now, Volume $=\frac{1}{3}\pi r^2h$
$=\frac{1}{3}\times\frac{22}{7}\times(20)^2\times21$
$=\frac{1}{3}\times\frac{22}{7}\times400\times21$
$=8800$ cm³
Hence, the correct answer is 8800 cm³.

Correct Answer: (2)

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

Explanation: The modal verb "should" is replaced with "will", as it shows an assertion that unless he apologises, he will not be allowed to stay with us. 

Therefore, the correct sentence is: "Unless he apologises, he will not be allowed to stay with us."

Correct Answer: CADRE

Solution : Given:

REDIP is the code for PRIDE.

Like, The letters of REDIP have been rearranged to form the word PRIDE.

Similarly, The word CADRE will be formed by rearranging the letters of the letter cluster AERDC.

Hence, the first option is correct.

Correct Answer: (84, 78, 1638)

Solution : Given: 
(48, 16, 192)
(22, 62, 341)

Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192
(22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341

Now, let's check the options –
First option: (32, 24, 222)→(32 ÷ 2) × (24 ÷ 2) = 16 × 12 = 192 ≠ 222
Second option: (74, 38, 713)→(74 ÷ 2) × (38 ÷ 2) = 37 × 19 =703 ≠ 713
Third option: (84, 78, 1638)→(84 ÷ 2) × (78 ÷ 2) = 42 × 39 = 1638
Fourth option: (92, 46, 1068)→(92 ÷ 2) × (46 ÷ 2) = 46 × 23 = 1058 ≠ 1068

So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.

Correct Answer: knocked down

Solution : The first option is the correct answer, as "knocked down."

"Knocked down" is a phrasal verb that means to cause something to fall or be toppled over by a forceful impact.and is used to describe a situation in which a moving vehicle, such as a car, strikes and causes someone to fall, and this fits perfectly in the sentence.

Therefore, the complete sentence is, "The speeding car knocked down a man this morning."

Correct Answer: falls

Solution : The correct option is falls.

When the cost of a commodity 'x' substitute drops, so does the demand for 'x' generally. This is due to consumers' propensity to switch to the less expensive alternative, which lowers the demand for the commodity.

Correct Answer: 30

Solution : Given: $p^2-4 p-1=0$
⇒ $p-\frac{1}{p}=4$
Squaring both sides, we get:
$⇒(p-\frac{1}{p})^2=(4)^2$
$⇒ (p^2+\frac{1}{p^2}-2×p×\frac{1}{p})=16$
$⇒ (p^2+\frac{1}{p^2})=16+2$
$⇒ (p^2+\frac{1}{p^2})=18$
Now, $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$
$=p^2+\frac{1}{p^2}+3 p-\frac{3}{p}$
$=p^2+\frac{1}{p^2}+3(p-\frac{1}{p})$
Putting the values, we get:
$=18+3×4$
$=30$
Hence, the correct answer is 30.

Correct Answer: INR 20,25,000

Solution : The total sum of the teacher's salary and rent = INR 45 lakhs
$\therefore$ (15% + 25%) of school expenditure = 45,00,000
School expenditure = $\frac{100}{40}×4500000$ = 2.5 × 4500,000 = 1,12,50,000
$\therefore$ Savings = 18% of school expenditure = $\frac{18}{100}×11250000$ = 20,25,000
Hence, the correct answer is INR 20,25,000.

Correct Answer: 24

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

In the above figure, there are 24 triangles. They are ABJ, AIJ, IJK, BJK, ILF, FLE, LEK, ILK, BCK, CKD, KDE, AHI, HIG, GIF, AIK, BIK, IEF, KFE, IKF, IKE, ABK, AIB, AKF, and BIE.

Hence, the fourth option is correct.

Correct Answer: Tansen

Solution : The correct answer is Tansen.

Sangeet Samrat Mian Tansen composed this raga in the sixteenth century. A monsoon raga known as Miya Ki Malhar is often used to welcome the monsoon and invoke rain, soaking the land. Tansen composed devotional scores for his life; he was born a Hindu.