Correct Answer: INR 28500

Solution : Sum, $P$ = INR 12000
Simple interest, SI = INR 12000
Term, $n$ = 2 years
Let $R$ be the interest rate.
Simple interest = $\frac{\text{Principal × term × Rate}}{100}$
⇒ $12000 = \frac{12000 × 2 × R}{100}$
⇒ $R = \frac{100}{2} = 50$%
Term, $n$ = 3 years
When compounded annually,
Compound interest
= $P(1+\frac{R}{100})^n - P$
= $12000(1+\frac{50}{100})^3 - 12000$
= $12000(1+\frac{1}{2})^3 - 12000$
= $12000(\frac{3}{2})^3 - 12000$
= $12000(\frac{27}{8} - 1)$
= $12000×\frac{19}{8}$
= $28500$
Hence, the correct answer is INR 28500.

Correct Answer: INR 1576.25

Solution : Rate, $R$ = 10%
Term, $n$ = 1 year
Principal sum, $P$ = INR 10000
When compounded half-yearly,
Amount = $P(1+\frac{R}{200})^{2n}$
Compound interest = $P(1+\frac{R}{200})^{2n}-P$
= $10000(1+\frac{10}{200})^{2×1.5}-10000$
= $10000(1+\frac{1}{20})^{3}-10000$
= $10000(\frac{21}{20})^{3}-10000$
= $10000(\frac{21^3}{20^3}-1)$
= $10000(\frac{21^3-20^3}{8000})$
= $\frac{10000×(441+400+420)×1}{8000}$
= $\frac{12610}{8}$
= INR $1576.25$
Hence, the correct answer is INR 1576.25.

Correct Answer: Women's hockey.

Solution : The correct answer is women's hockey.

India did not take home any medals from the women's hockey competitions at the 2020 Summer Olympics. India secured medals in events like weightlifting, wrestling, badminton and athletics. Notable achievements included Mirabai Chanu winning silver in weightlifting and Neeraj Chopra clinching gold in javelin throw.

Correct Answer: 40

Solution : Given,
The mixture of alcohol and water = 80 litres
Initial alcohol concentration = 60%
Amount of alcohol in 80 litres of mixture = 60% of 80
= $\frac{60}{100}\times80$ = 48 litres
Also, 40 percent alcohol in the new mixture after the addition of X litres of water.
So, according to the question,
48 = $\frac{40}{100}$ × (80 + X)
⇒ 48 = $\frac{2}{5}$ (80 + X)
⇒ 240 = 2(80 + X)
⇒ 240 = 160 + 2X
⇒ 2X = 80
⇒ X = 40
Hence, the correct answer is 40.

Correct Answer: William Gaud

Solution : The answer is William Gaud.

On March 8, 1968, William S. Gaud, the administrator of the U.S. Agency for International Development (USAID), introduced the term "Green Revolution." In his speech, he highlighted the proliferation of these novel technologies in agriculture, stating that they harboured the potential for a transformative agricultural revolution.

Correct Answer: Article 51A (c)

Solution : The correct option is Article 51A (c).

Article 51A(c) of the Indian Constitution outlines one of the fundamental duties of citizens. This clause emphasises the responsibility of citizens to contribute to the safeguarding of the sovereignty, unity, and integrity of the nation. The inclusion of fundamental duties in the Constitution is aimed at promoting a sense of responsibility and commitment among citizens towards the larger goals of the nation.

Correct Answer: 290

Solution : The total number of teachers in all these five universities is 720.
J1 = The value of the average number of teachers in B and C
From the given pie- chart,
⇒ Number of teachers in University B $=\frac{30°}{360°}\times720=60$
⇒ Number of teachers in University C $=\frac{120°}{360°}\times720=240$
$\therefore$ Average $=\frac{60+240}{2}=150$
J2 = The value of the average number of teachers in A and E
⇒ Number of teachers in University A $=\frac{40°}{360°}\times720=80$
⇒ Number of teachers in University E $=\frac{100°}{360°}\times720=200$
$\therefore$ Average $=\frac{200+80}{2}=140$
So, J2 + J1 = 150 + 140 = 290
Hence, the correct answer is 290.

Correct Answer: 36.5%

Solution :  Total students in P and R = Students in P + Students in R
=  8000 + 15000 = 23000
Students in Mathematics in P and R =
=  30% of 8000 + 40% of 15000
=  0.3 × 8000 + 0.4 × 15000
=  2400 + 6000 = 8400
Required percentage = $\frac{\text{Students in Mathematics in P and R​}}{\text{Total students in P and R}}$×100%
= $\frac{\text{8400​}}{\text{23000}}$×100%
= 36.5%
Hence, the correct answer is 36.5%.

Correct Answer: To work fast

Solution : The second option is correct.

The given idiom, work against the clock, means to do it as fast as possible and try to finish it before a certain time.

Therefore, the correct answer is to work fast.

Correct Answer: 2.1-2.9

Solution : The correct answer is 2.1-2.9.

According to the 2011 Census, India's Total Fertility Rate (TFR)* was 2.4 per woman. The majority of Indian states now have fertility rates far below the replacement level of 2.1, and the nation is rapidly reaching the replacement level itself, according to recent research and surveys.