Correct Answer: Rs. 3,000

Solution : Let the opening shares of A, B, and C be $5x$, $4x$, and $3x$.
Ratio of profit = Ratio of investment × Ratio of time
The share of A,
$=5x\times12=60x$
The share of B,
$=4x\times12+1000\times8=48x+8000$
The share of C,
$=3x\times12+2000\times4=36x+8000$
According to the question,

Correct Answer: Padma Shri

Solution : The correct answer is Padma Shri.

Kuchipudi dancer V. Satyanarayana Sarma was honoured with the prestigious "Padma Shri" award. The Padma Shri is one of the highest civilian awards in India and is conferred by the Government of India in recognition of exceptional contributions

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

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

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

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

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,

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.