Your Answer : (Not Answered)

Correct Answer : A

We use the formula for the sum of a G.P.: \(S_n = \frac{lr-a}{r-1}\), where l is the last term. Given \(S_n=889, l=448, a=7\). \(889 = \frac{448r-7}{r-1} \Rightarrow 889(r-1) = 448r-7 \Rightarrow 889r - 889 = 448r - 7 \Rightarrow 441r = 882 \Rightarrow r = 882/441 = 2\).

Your Answer : (Not Answered)

Correct Answer : D

"At most two heads" means everything except three heads, so use the complement.

\[ P(\text{3 heads}) = \frac{1}{8} \]

\[ P(\text{at most 2}) = 1 - \frac{1}{8} = \frac{7}{8} \]

Counting zero, one and two heads directly gives \( 1 + 3 + 3 = 7 \) of the 8 outcomes - the same answer for more work.

Your Answer : (Not Answered)

Correct Answer : D

At 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand must gain 50 min. spaces.
55 min. spaces are gained in 60 min.
50 min. spaces are gained in 60/55 x 50 = 54 (6/11) min
Required time = 54 6/11 min past 4

Your Answer : (Not Answered)

Correct Answer : B

We know that,

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

Then, 1 year = 365 x 24 x 60 x 60 seconds.

= 8760 x 3600

1 year = 31536000 seconds.

Hence, 10 years = 31536000 x 10 = 315360000 seconds.

Your Answer : (Not Answered)

Correct Answer : C

Write both statements with the same \( R \) and \( T \), and let \( k = \tfrac{RT}{100} \).

\[ x = yk, \qquad y = zk \]

Dividing one by the other:

\[ \frac{x}{y} = \frac{y}{z} \quad\Longrightarrow\quad y^{2} = xz \]

So \( y \) is the geometric mean of \( x \) and \( z \). Substituting directly gives the same thing: \( x = zk^{2} \) and \( y^{2} = z^{2}k^{2} = xz \).

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 5,4,2,3,1

The words run in order of the parts of the arm from the tip inwards: Finger → Palm → Wrist → Elbow → Shoulder.

Your Answer : (Not Answered)

Correct Answer : C

Correct answer: 67

The gaps are not equal: they run 5, 9, 13, 17, each 4 more than the last. The next gap must therefore be 21, and adding it to the final term, 46 plus 21 is 67. As a check, the gap between the answer and 46 is 21, which continues the run of gaps 5, 9, 13, 17 by a further 4. Writing the gaps under the terms converts an irregular series into a regular one, which is the standard technique for this family.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Both 1 and 2 are sufficient

Statement 2 makes F’s mother the sister of M’s father, so F is a cousin of M. Statement 1 establishes that M and P are siblings, so M’s father is P’s father and F is therefore P’s cousin as well. Neither statement alone connects F to P, so both are required.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: 18 x 6 ÷ 8 - 12 = 36

Replace every symbol by the operation it denotes: \( \div \to \times \), \( + \to \) subtracted from, \( - \to \) added to, \( \times \to \div \).

The correct option becomes \( 18 \div 6 \times 8 + 12 \), and by BODMAS \[ 18 \div 6 \times 8 + 12 = 24 + 12 = \mathbf{36} \]

The others fail: \( 5 \times 6 + 4 \div 3 \) becomes \( 12 - \tfrac{5}{6} = \tfrac{67}{6} \), not \( \tfrac{37}{6} \); and \( 6 \times 3 + 12 \div 3 \) becomes \( 36 - 2 = 34 \), not 21.

Your Answer : (Not Answered)

Correct Answer : A

She was not keen because she did not know the value of good education.

Her husband tells her: 'You are not educated yourself. That's probably why you don't want her to be educated.' The passage thus traces her reluctance to her own lack of education and her failure to see what education offers.

Money is never raised, so the second option has no support. Nothing says she wanted to keep Roopa at home, and the passage shows that she cares for Roopa, so 'she did not love her' is wrong.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: train

The word has to serve both a military and an ordinary sense.

• I - to aim guns at a position is to train them on it; this is the standard idiom.
• II - a line of ducklings following one behind another is a train.

Target fits the guns but cannot describe a line of ducklings, and array and turn fit neither sentence naturally.

Your Answer : (Not Answered)

Correct Answer : D

'You can borrow the book provided that you return it soon' joins the two sentences with the conjunction that carries the condition. The first sentence gives permission and the second states the requirement, so 'provided that' fits. 'But' contrasts the clauses, 'and' only adds, and 'when' gives a time instead of a condition, so those options do not give the right sense. In a sentence with a conditional clause, 'provided that' states a condition, and so it joins the permission with the requirement that the book be returned soon. 'But' implies that the second sentence limits the first, which is close but less exact, and 'when' changes the sense.

Your Answer : (Not Answered)

Correct Answer : A

It is him.

Him is the pronoun. A hymn is a religious song, with a silent n, and the two are pronounced identically.

Your Answer : (Not Answered)

Correct Answer : B

Data is cached to reduce average access time.

Cache memory is a small, very fast memory placed between the CPU and main memory. It keeps copies of the data and instructions used most often or most recently, so that the processor can get them quickly instead of waiting for the slower RAM. This lowers the average time taken to access memory.

A cache does not save storage space; it adds another copy. It does not keep irrelevant data, since the point is to keep data likely to be needed again. And it is temporary, volatile memory, not a permanent archive.

Your Answer : (Not Answered)

Correct Answer : C

Jawaharlal Nehru was elected president of the Congress most often among those listed, holding the office six times - 1929, 1930, 1936, 1937, 1946 and 1951 to 1954.

The 1929 Lahore session over which he first presided adopted the resolution for complete independence.

Your Answer : (Not Answered)

Correct Answer : C

Man has 43 pairs of peripheral nerves - 12 pairs of cranial nerves and 31 pairs of spinal nerves.

The spinal nerves are 8 cervical, 12 thoracic, 5 lumbar, 5 sacral and 1 coccygeal. Together they make up the peripheral nervous system, the brain and spinal cord being the central one.

Your Answer : (Not Answered)

Correct Answer : C

A URL is the address of a document or resource on the web.

Uniform Resource Locator: it names the protocol, the host and the path - for instance https://example.com/page.html - and so specifies both where a resource is and how to fetch it.

Your Answer : (Not Answered)

Correct Answer : B

It was the light a cat's eyes gave off on a fence.

Percy Shaw, driving on a foggy road in Yorkshire in 1933, saw his headlamps reflected in a cat's eyes and was saved from going off the road. He patented the reflecting road stud - still called cat's eyes - the next year.

Your Answer : (Not Answered)

Correct Answer : D

4 October is World Animal Day.

It is the feast of Saint Francis of Assisi, patron saint of animals, and has been observed since 1931. It promotes animal welfare and the recognition of animals as sentient beings.

Your Answer : (Not Answered)

Correct Answer : B

Indonesia is the world's largest archipelago, with more than 17,000 islands spread over some 5,000 km. The Philippines is second with about 7,600.