Your Answer : (Not Answered)

Correct Answer : B

The total distance is 15.193 km.

Write each distance in kilometres with three decimal places (1 km = 1000 m): 3 km 725 m = 3.725 km and 2 km 9 m = 2.009 km. She walks the first on three days and the second on two:

\[ \begin{aligned} 3 \times 3.725 &= 11.175 \\ 2 \times 2.009 &= 4.018 \\ 11.175 + 4.018 &= 15.193\ \text{km} \end{aligned} \]

The usual slip is writing 9 m as 0.9 km or 0.09 km instead of 0.009 km, which inflates the total and leads to the larger options.

Your Answer : (Not Answered)

Correct Answer : B

The ratio is 11 : 10.

If girls are 100 parts, boys are 10% more, which is 110 parts.

\[ \text{boys : girls}=110:100=11:10 \]

10 : 11 is the reverse, and 11 : 9 and 9 : 10 do not match a 10% excess.

An easy check is to choose 100 girls. Boys are 10% more, which is 110. The ratio 110 : 100 reduces to 11 : 10, with boys first, as the question asks. The reverse ratio 10 : 11 would put girls first.

Your Answer : (Not Answered)

Correct Answer : D

The unit digits of powers of 9 alternate:

\[ 9,\ 1,\ 9,\ 1,\ \ldots \]

Odd exponents end in 9. Since 99 is odd, the unit digit is 9.

Your Answer : (Not Answered)

Correct Answer : B

\[ 1 + 2 + 6 + 24 = 33 \]

The unit digit is 3. Only the unit digits of the terms matter: \( 1 + 2 + 6 + 4 = 13 \), ending in 3.

Your Answer : (Not Answered)

Correct Answer : B

The hemisphere's height is its own radius, so "same height" forces \( h = r \) for all three.

\[ V_{\text{cylinder}} = \pi r^{2} h = \pi r^{3} \]

\[ V_{\text{cone}} = \frac{1}{3}\pi r^{2} h = \frac{1}{3}\pi r^{3} \]

\[ V_{\text{hemisphere}} = \frac{2}{3}\pi r^{3} \]

\[ \text{ratio} = 1 : \frac{1}{3} : \frac{2}{3} = 3 : 1 : 2 \]

This is the classic cylinder–cone–hemisphere relation: the cone is a third of the cylinder and the hemisphere two thirds, so cone plus hemisphere exactly fills the cylinder.

Your Answer : (Not Answered)

Correct Answer : C

Let \( p \) be the part at 3%; the rest, \( 4000 - p \), earns 5%.

\[ 0.03p + 0.05(4000 - p) = 144 \]

\[ 0.03p + 200 - 0.05p = 144 \quad\Longrightarrow\quad -0.02p = -56 \]

\[ p = \text{Rs. } 2800 \]

Checking: Rs. 84 from the 3% part and Rs. 60 from the Rs. 1200 at 5%.

Your Answer : (Not Answered)

Correct Answer : A

\(\left (x^{n}-1 \right )\) is divisible by \(x+1\) if \(x\) is an even number.
\(\left ( \left ( 49 \right )^{15} -1\right )\)  =\(\left ( \left ( 7^{2} \right )^{15} -1\right )\)  =\(\left ( 7 \right )^{30} -1\)
which is divisible by \(7+1\), \(8\)

Your Answer : (Not Answered)

Correct Answer : E

Correct answer: Both I and II are strong

Both arguments bear on the question and both carry weight. Formal examinations do press on children who are still growing, which is argument 1; and without any test pupils may not work at all, which is argument 2. The decision turns on weighing the two. Both are strong.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Wednesday

Count forward from the fixed point. The day before yesterday was Saturday, so yesterday was Sunday and today is Monday. Tomorrow is Tuesday and the day after tomorrow is Wednesday. The whole difficulty of such questions is keeping the anchor straight, so it is worth naming today explicitly before counting on.

Your Answer : (Not Answered)

Correct Answer : A

The Hauz Khas tank is in Delhi. It was built by Alauddin Khalji in the early 14th century as a reservoir (originally Hauz-i-Alai) to supply water to the then new city of Siri, and Firoz Shah Tughlaq later had it desilted and built his madrasa and tomb beside it.

Chandigarh, Agra and Fatehpur Sikri are not where this tank stands.

Your Answer : (Not Answered)

Correct Answer : A

It is Peru.

Quechua and Aymara are official alongside Spanish wherever they predominate. Quechua was the administrative language of the Inca empire and still has some eight million speakers across the Andes.

Your Answer : (Not Answered)

Correct Answer : C

A successful experiment results only in the rejection of one or more hypotheses.

Evidence can disprove a hypothesis conclusively but can never prove one, since the next observation may contradict it. A hypothesis that survives repeated attempts to refute it is provisionally accepted, not proved.

Your Answer : (Not Answered)

Correct Answer : A

Failure of blood to clot is caused by lack of vitamin K.

It is needed by the liver to make prothrombin and several other clotting factors. It is supplied by green leafy vegetables and by bacteria in the gut, and newborns are given a dose because they have neither yet.

Your Answer : (Not Answered)

Correct Answer : C

White blood cells live about 2 to 15 days, though the span varies greatly with the type - neutrophils survive only hours to a few days, while some lymphocytes persist for years as memory cells.

A normal count is 4,000 to 11,000 per cubic millimetre of blood.

Your Answer : (Not Answered)

Correct Answer : B

Carbon dioxide from fossil fuels is the main cause of the rise in average global temperature. Burning coal, oil and gas has raised its atmospheric concentration from about 280 ppm before the industrial era to over 420 ppm today.

Ozone depletion is a separate problem: it admits more ultraviolet radiation but does not by itself warm the lower atmosphere.

Your Answer : (Not Answered)

Correct Answer : A

It is the Escorts Heart Institute.

The Delhi hospital, founded in 1988 and now part of Fortis, was for many years India's largest dedicated cardiac centre by volume of procedures.

Your Answer : (Not Answered)

Correct Answer : C

The tricolour does not appear on it.

The medallion is a peepal leaf in toned bronze, with a platinum sun and the words Bharat Ratna in Devanagari on the front, and the state emblem with the motto Satyameva Jayate on the back. The ribbon is plain white.

Your Answer : (Not Answered)

Correct Answer : B

Khushwant Singh returned his Padma Bhushan.

He had received it in 1974 and returned it in 1984 in protest against Operation Blue Star, the army action at the Golden Temple. He was later awarded the Padma Vibhushan in 2007.

Your Answer : (Not Answered)

Correct Answer : C

Corbett National Park lies in the Nainital district of Uttarakhand. Established in 1936 as Hailey National Park, it is the oldest national park in India, and was renamed after the hunter-turned-conservationist Jim Corbett in 1957.

It was where Project Tiger was launched in 1973.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: The state level

The Lokayukta is the anti-corruption ombudsman at the state level; its counterpart at the Union level is the Lokpal. States began creating Lokayuktas long before the centre acted: Maharashtra was first in 1971, followed by Odisha, Rajasthan, Bihar and others, each under its own statute, so their powers, tenure and jurisdiction have varied considerably. Karnataka’s was for a period the most active, with its own investigating police wing. The Lokpal and Lokayuktas Act of 2013 created the Lokpal and required every state to establish a Lokayukta within a year, though it left the details to state legislation. The institution derives from the Scandinavian Ombudsman, recommended for India by the first Administrative Reforms Commission in 1966, which proposed both a Lokpal and Lokayuktas. Neither is a constitutional body; both are statutory, which is one reason their independence and effectiveness have been questioned.