Your Answer : (Not Answered)

Correct Answer : B

The probability is \(\frac{1}{3}\).

The brother is selected with probability \(\frac{1}{6}\) (rejected \(\frac{5}{6}\)); the sister is rejected with probability \(\frac{3}{4}\), so selected with \(\frac{1}{4}\). Exactly one is selected if the brother is in and the sister out, or the sister in and the brother out:

\[ \begin{aligned} \tfrac{1}{6} \times \tfrac{3}{4} + \tfrac{5}{6} \times \tfrac{1}{4} &= \tfrac{3}{24} + \tfrac{5}{24} \\ &= \tfrac{8}{24} = \tfrac{1}{3} \end{aligned} \]

\(\frac{1}{4}\) is only the sister's chance, and \(\frac{5}{6}\) only the brother's chance of rejection.

Your Answer : (Not Answered)

Correct Answer : A

The difference is 0. For CS, the average over the four activities is (20 + 25 + 25 + 22) / 4 = 92 / 4 = 23. For dance, the average over the four schools is (25 + 15 + 22 + 30) / 4 = 92 / 4 = 23. The difference is 23 - 23 = 0.

2, 3 and 5 would result only from misreading a cell in the table.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 50 m

From the first race, A : B = 200 : 175 = 8 : 7.

When A covers 400 m, B covers

\[400 \times \frac{7}{8} = 350 \text{ m}\]

So A wins by \(400 - 350 = 50\) m. The margin doubles because the course has doubled.

Your Answer : (Not Answered)

Correct Answer : B

A starts 140 m ahead, so A has only 360 m to cover while B has the full 500 m.

Speeds are in the ratio 3 : 4, so in the time A covers 360 m:

\[ \text{B covers } 360 \times \frac{4}{3} = 480 \text{ m} \]

\[ \text{A wins by } 500 - 480 = 20 \text{ m} \]

The head start is subtracted from A's distance, not added to B's.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 3 km/hr

Downstream speed is \(b+s\) and upstream is \(b-s\), so their difference is twice the stream speed:

\[s = \frac{18 - 12}{2} = 3 \text{ km/hr}\]

Their sum gives the boat’s own speed, \(\tfrac{18+12}{2} = 15\) km/hr.

Your Answer : (Not Answered)

Correct Answer : A

If the whole tank takes 6 hours, then in one hour the pipe fills

\[ \frac{1}{6} \text{ of the tank} \]

This reciprocal is the basic move in every pipes-and-cisterns problem: times cannot be added, but rates can.

Your Answer : (Not Answered)

Correct Answer : A

Step IV : territorialization 12 sourishness 14 90 71 armillaria cannibalization
Step V : territorialization 12 sourishness 14 cannibalization 90 71 armillaria 
Step VI : territorialization 12 sourishness 14 cannibalization 71 90 armillaria
Step VII : territorialization 12 sourishness 14 cannibalization 71 armillaria 90 
Write the first letters of the given problem.
Step IV : T 12 S 14 90 71 A C
Step V : T 12 S 14 C 90 71 A 
Step VI : T 12 S 14 C 71 90 A
Step VII : T 12 S 14 C 71 A 90

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Both A and R are true and R is the correct explanation of A.

Iodine is washed out of hill soils by rain and carried down to the plains, so mountain diets are short of it. Without iodine the thyroid cannot make its hormones and enlarges - which is goitre. The dietary lack is exactly the cause. Both are true and R explains A.

Your Answer : (Not Answered)

Correct Answer : A

The time seen in the water is 9:30 AM.

A water image flips the clock top to bottom. The minute hand at 12 appears at 6, and the hour hand at 9, which lies on the horizontal line, stays at 9. So the image shows the hands at 9 and 6, which reads as 9:30.

A quick rule for water images is to subtract the time from 18:30; here \(18{:}30 - 9{:}00 = 9{:}30\). 3 AM is what a mirror (left-right) image of 9:00 shows, 3:30 AM matches neither image, and 9:00 would mean no reflection at all.

Your Answer : (Not Answered)

Correct Answer : C

The forests found only around Abu are Sub-tropical Mountain Forests.

Mount Abu, at over 1200 m with higher rainfall and cooler temperatures than the rest of Rajasthan, supports sub-tropical (semi-evergreen) hill forest with species such as mango, jamun and bamboo. Rajasthan has no other area high and wet enough for this forest type.

Tropical thorn forests cover the arid west and tropical dry deciduous forests the Aravalli and south-eastern areas, so both are widespread, not confined to Abu.

Your Answer : (Not Answered)

Correct Answer : D

It is the Moroccan dirham.

The dirham takes its name from the Greek drachma by way of Arabic. It replaced the Moroccan franc in 1960 and is divided into 100 centimes.

Your Answer : (Not Answered)

Correct Answer : B

Frequency remains unchanged.

Frequency is set by the source and cannot change at a boundary - the wave arriving at the interface and the wave leaving must oscillate together. Since \(v = f\lambda\) and sound travels faster in water, the wavelength increases in the same proportion as the speed.

Your Answer : (Not Answered)

Correct Answer : D

Your Answer : (Not Answered)

Correct Answer : D

It was the vacuum cleaner.

Ives McGaffey patented his hand-cranked Whirlwind in 1869. It was hard to work - one hand turned the crank while the other pushed - and few were sold; the powered version came from Hubert Booth in 1901.

Your Answer : (Not Answered)

Correct Answer : C

It is the Grand Canal of China.

The Grand Canal runs about 1,776 km from Beijing to Hangzhou, begun in the fifth century BCE and completed under the Sui in 609 CE. The Suez is 193 km and the Panama only 82.

Your Answer : (Not Answered)

Correct Answer : A

United Nations Day is celebrated on 24 October, the anniversary of the Charter coming into force in 1945.

The whole week around it is observed as Disarmament Week.

Your Answer : (Not Answered)

Correct Answer : C

It was shared with the Grameen Bank of Bangladesh.

The Gandhi Peace Prize for 2000 went jointly to Nelson Mandela and to the Grameen Bank, which pioneered microcredit to the rural poor, chiefly to women, without requiring collateral.

Your Answer : (Not Answered)

Correct Answer : D

All four statements are correct.

The Voluntary Disclosure of Income Scheme of 1997 let tax evaders declare hidden income at the current rate without penalty or prosecution. About Rs 33,000 crore was declared and roughly Rs 10,050 crore collected. The Supreme Court accepted the government's undertaking that no such scheme would be introduced again.

Your Answer : (Not Answered)

Correct Answer : B

The quorum for a sitting is one-tenth of the total membership of the House, including the presiding officer.

For the Lok Sabha that is 55 members. If there is no quorum, the presiding officer must adjourn the House or suspend the sitting until there is.

Your Answer : (Not Answered)

Correct Answer : A

The programme is LaQshya.

LaQshya, the Labour Room Quality Improvement Initiative launched by the Ministry of Health and Family Welfare in 2017, aims to improve the quality of care in labour rooms and maternity operation theatres and to ensure respectful maternity care during delivery and immediately after.

MAA promotes breastfeeding, Janani Shishu Suraksha Karyakram provides free delivery and newborn care in public facilities, and PM Matru Vandana Yojana gives a cash benefit to pregnant and lactating women; none is focused on labour room quality.