Your Answer : (Not Answered)

Correct Answer : A

45 degrees is 0.785 radian.

Since \(180^\circ = \pi\) radians:

\[ \begin{aligned} 45^\circ &= 45 \times \frac{\pi}{180} \\ &= \frac{\pi}{4} \approx 0.785 \end{aligned} \]

The other options are the radian values of other common angles: 1.57 is \(\frac{\pi}{2}\) (90°), 1.05 is \(\frac{\pi}{3}\) (60°) and 6.28 is \(2\pi\) (360°).

Your Answer : (Not Answered)

Correct Answer : A

The time is 5 years. Simple interest is \[SI = \frac{P \times R \times T}{100}\] so \[450 = \frac{1500 \times 6 \times T}{100} = 90T\] and T = 5 years. Check: 6 per cent of 1,500 is 90 rupees a year, and 5 years gives 450. The options 6, 4 and 3 years would give interest of 540, 360 and 270 rupees, so they do not fit. A direct check: 17000 x 1.331 = 22627, which agrees with the given amount after 3 years at 10 per cent. At 20 per cent compounded half-yearly for one year the factor is 1.1 x 1.1 = 1.21, so the amount is 20570 and the interest is 3570.

Your Answer : (Not Answered)

Correct Answer : D

Let \( d \) be the horizontal distance between the building and the tower.

The tower's foot is 30 m below the observer, at a depression of \( 45^{\circ} \):

\[ d = \frac{30}{\tan 45^{\circ}} = 30 \text{ m} \]

The tower's top, at a depression of \( 30^{\circ} \), is

\[ d\tan 30^{\circ} = \frac{30}{\sqrt{3}} \text{ m} \]

below the building's top, so the tower's height is

\[ 30 - \frac{30}{\sqrt{3}} = 30\left(1 - \frac{1}{\sqrt{3}}\right) \approx 12.7 \text{ m} \]

The tower is shorter than the building, which is consistent with both angles being depressions rather than elevations.

Your Answer : (Not Answered)

Correct Answer : B

Writing \( k = \dfrac{RT}{100} \), the four quantities are related by

\[ \text{BD} = A\,k, \qquad \text{TD} = \frac{A\,k}{1+k} = \text{PW}\,k, \qquad \text{BG} = \text{TD}\,k \]

\[ \text{PW} = 540 - 90 = \text{Rs. } 450 \quad\Longrightarrow\quad k = \frac{90}{450} = 0.2 \]

\[ \text{BD} = A\,k = 540 \times 0.2 = \text{Rs. } 108 \]

The banker's discount charges interest on the Rs. 540 face value, the true discount only on the Rs. 450 present worth - hence the Rs. 18 gap.

Your Answer : (Not Answered)

Correct Answer : D

In stock problems, a "\( r\% \) stock at \( m \)" means Rs. 100 of face value costs Rs. \( m \) and pays Rs. \( r \) a year, so the yield on money invested is \( \tfrac{r}{m} \).

\[ \frac{12}{m} = 10\% \quad\Longrightarrow\quad m = \frac{12}{0.10} = \text{Rs. } 120 \]

A yield below the dividend rate means the stock trades above par - which rules out the Rs. 83.33 option at once.

Your Answer : (Not Answered)

Correct Answer : B

Let the jar initially contain 8 litres of mixture:3 litres water and 5 litres alcohol

Let x litres of this mixture is drawn out and is replaced by x litres of water.

Amount of water now in the solution: 3-(3/8)x+x.

Amount of alcohol now in the solution: 5-(5/8)x

Desired ratio: 1/1

=>3-(3/8)x+x=5-(5/8)x

x=8/5 litres

%x=((8/5)/8)*100=20%

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: None of these.

“Do not smoke” is an instruction and nothing more. It gives no reason and no consequence - not that smoking is an offence, not that it causes cancer, not that a fine will be charged. All of those would have to be brought in from outside, so the answer is none of these.

Your Answer : (Not Answered)

Correct Answer : D

The keyed response is to discuss with those people why they do not use the toilets, and try to convince them about the benefits.

Toilets unused after construction usually point to habits, beliefs or practical problems such as water supply or maintenance. Finding out the reasons and persuading people about the health and dignity benefits addresses the cause, which is the behavioural approach the Swachh Bharat campaign itself relies on.

Doing nothing ignores a public health problem that affects the whole village. Getting families to force people breeds resentment rather than change, and complaining to the authorities adds nothing, since the toilets already exist and the problem is that people do not use them.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: T

Apply the three interchanges to DOCUMENTATION: 3rd with 10th (C and T), 4th with 7th (U and N), 2nd with 6th (O and E). The word becomes

D E T N M O U T A C I O N

With thirteen letters, the eleventh from the right is the third from the left:

\[ 13 - 11 + 1 = 3 \rightarrow T \]

Converting the count before reading off is quicker than counting backwards through the string, and less error-prone.

Your Answer : (Not Answered)

Correct Answer : B

The Oval at Kennington in south London is a cricket ground, the home of Surrey.

It staged the first Test match played in England, in 1880, and by tradition hosts the last Test of each English summer.

Your Answer : (Not Answered)

Correct Answer : B

Rhyolite caldera complexes are the most explosive volcanoes of all.

Their magma is silica-rich, so it is extremely viscous and traps gas until the pressure blows the whole chamber apart and its roof collapses into a caldera. Yellowstone and Toba are examples; a single eruption can eject thousands of cubic kilometres.

Your Answer : (Not Answered)

Correct Answer : A

National Consumer Rights Day is observed in India on 24 December.

The Consumer Protection Act received presidential assent on that date in 1986. World Consumer Rights Day, a separate observance, falls on 15 March.

Your Answer : (Not Answered)

Correct Answer : C

They relate to music.

Mandra, madhya and tara are the lower, middle and upper octaves of the Indian musical scale, the ranges within which a singer or instrument moves.

Your Answer : (Not Answered)

Correct Answer : B

It is a place of worship for Zoroastrians.

The fire temple, or agiary, keeps a sacred fire burning perpetually as the symbol of Ahura Mazda's purity and light. Fires of the highest grade have burned continuously for centuries; the one at Udvada in Gujarat since the eighth.

Your Answer : (Not Answered)

Correct Answer : B

The Foehn is the warm, dry wind that descends the northern slopes of the Alps. Air forced over the range loses its moisture as rain on the windward side, then warms by compression as it sinks, arriving several degrees warmer and much drier.

The Chinook is its North American counterpart on the eastern Rockies, the Sirocco is a hot Saharan wind, and the Loo blows over north India in summer.

Your Answer : (Not Answered)

Correct Answer : A

Belize, Costa Rica and Panama are Central American countries, along with Guatemala, Honduras, El Salvador and Nicaragua - the isthmus linking North and South America.

China, Taiwan and Japan are in East Asia, and Iran, Iraq, Saudi Arabia and Kuwait are in the Middle East, so the combined option cannot be right.

Your Answer : (Not Answered)

Correct Answer : A

Mount Elbrus in the Caucasus, at 5,642 m, is the highest point in Europe. Kosciuszko is Australia's highest, McKinley (Denali) North America's and Aconcagua South America's.

Your Answer : (Not Answered)

Correct Answer : A

CGWB is the Central Ground Water Board.

Set up in 1970 under the Ministry of Jal Shakti, it surveys and monitors India's aquifers, assesses the annual replenishable groundwater resource, and regulates extraction in over-exploited blocks.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: trichocysts

Trichocysts lie beneath the pellicle of Paramecium and discharge as fine threads when the animal is disturbed, serving in defence and in anchorage. Nematocysts belong to the cnidarians, and statocysts and otocysts are organs of balance in higher animals.

Your Answer : (Not Answered)

Correct Answer : B

The enzyme not found in pancreatic juice is pepsin.

Pepsin is secreted by the chief cells of the stomach as pepsinogen and is activated by hydrochloric acid. It works best at the strongly acidic pH of the stomach.

Pancreatic juice is alkaline and carries the enzymes for the small intestine: trypsin (secreted as trypsinogen) for proteins, pancreatic amylase for starch, and lipase for fats. So the other three options are all genuine pancreatic enzymes.