Your Answer : (Not Answered)

Correct Answer : C

Subtract the remainders: 1657 - 6 = 1651 and 2037 - 5 = 2032. The greatest number is their HCF.

2032 - 1651 = 381, and 1651 = 4 x 381 + 127, 381 = 3 x 127, so the HCF is 127, option C.

When a number divides 1657 leaving remainder 6 and 2037 leaving remainder 5, it divides 1651 and 2032 exactly. The HCF of 1651 and 2032 is 127 (1651 = 13 x 127 and 2032 = 16 x 127), and 127 is larger than both remainders, as it should be.

Your Answer : (Not Answered)

Correct Answer : C

The thief ran 2100 m. The police close the gap at the difference of the speeds, 8 - 7 = 1 km/h.

The police themselves ran 2400 m, which is the other option that sounds plausible; 1,800 m and 1,900 m do not fit the chase.

The police must make up 300 m at 1 km/h, so they run for 0.3 h and cover 8 × 0.3 = 2.4 km, which is 300 m more than the thief's 2.1 km. The question asks for the distance the thief ran, so 2400 m, the distance the police ran, is the wrong figure to pick.

Your Answer : (Not Answered)

Correct Answer : A

Let M be the set of students who like Math and S be the set of students who like Science.

n(M) = 30, n(S) = 25, n(M ∩ S) = 10.

Number of students who like at least one subject is n(M ∪ S) = n(M) + n(S) - n(M ∩ S) = 30 + 25 - 10 = 45.

Total students = 50.

Number of students who like neither = Total students - n(M ∪ S) = 50 - 45 = 5.

Your Answer : (Not Answered)

Correct Answer : C

A signal pole is a point, so that crossing gives the speed.

\[ v = \frac{300}{18} = \frac{50}{3} \text{ m/s} \]

\[ \text{total distance over the platform} = \frac{50}{3} \times 39 = 650 \text{ m} \]

\[ \text{platform} = 650 - 300 = 350 \text{ m} \]

The data are complete, so "data inadequate" is a trap; 650 m is the combined distance, not the platform.

Your Answer : (Not Answered)

Correct Answer : A

The missing tiles are option (i).

Count the filled dots in each tile of Panel I. The grid reads:

The first row sums to 15, and so do the first two columns (8 + 3 + 4 and 1 + 5 + 9). This is the 3 by 3 magic square, every row and column totalling 15. So the missing tiles must have 15 - 8 = 7 filled dots (middle row) and 15 - 13 = 2 (bottom row), which also makes the last column 6 + 7 + 2 = 15.

Option (i) has 7 filled dots above and 2 below. Option (ii) has 6 and 2, option (iii) 7 and 3, and option (iv) 6 and 4, so none of them completes the square.

Your Answer : (Not Answered)

Correct Answer : A

The wind in the poem talks to itself.

The second stanza says of the wind: 'It walks on the water, and whirls the mills, / And talks to itself on the tops of the hills.' The poet personifies the wind as murmuring to itself up on the hilltops.

The hills are where the wind talks, not whom it talks to, which makes that option the main trap. The trees are what the wind shakes in the line before, and clouds are not mentioned anywhere in the poem.

Your Answer : (Not Answered)

Correct Answer : A

The correct sequence is QPSR.

Q (I shall go) + P (to Kolkata) + S (after I have finished) + R (my work here) gives I shall go to Kolkata after I have finished my work here.

The sentence must start with its subject and verb, 'I shall go', and the object 'my work here' must follow 'after I have finished'. PQRS starts with 'To Kolkata I shall go', which puts the work before finishing, and the others break the time clause.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: widespread

A hobby shared by many people is widespread.

Notable says it is worth remarking on rather than that many share it; inception and perspective are nouns and cannot modify hobby.

Your Answer : (Not Answered)

Correct Answer : A

The technique is correlation.

Correlation measures how strongly two variables are related, that is, how one piece of data changes as another changes, giving a coefficient between -1 and +1. It is a basic statistical tool of data mining and AI.

A decision tree classifies data through a sequence of decisions, and genetic algorithms search for solutions by imitating natural selection. 'Fuzzy tree' is not a standard technique. None of these is specifically about measuring how one item of data is linked to another.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Mainframe Computer

Banks, railways and airlines need one machine to handle very large numbers of transactions and users reliably, which is exactly what mainframes are designed for. Supercomputers are optimised for calculation rather than for transaction volume.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: at the bottom of the page on which its reference occurs

A footnote appears at the foot of the page carrying its reference mark; an endnote appears at the end of the document or section. That is the whole distinction between the two, and both are inserted from the References tab. Word manages them automatically. The reference marks are numbered in sequence, and inserting a new note part way through renumbers everything after it. If the text moves to another page, its footnote follows. The shortcuts are Alt + Ctrl + F for a footnote and Alt + Ctrl + D for an endnote, and the two can be converted into each other from the Footnote and Endnote dialogue. That dialogue also controls the numbering format, whether numbering restarts on each page or section, and the separator line above the notes. Double-clicking a reference mark jumps to the note, and double-clicking the note jumps back - the quickest way to move between them.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: A box on a slide layout reserved for text or other content

A placeholder is a box defined on a slide layout, reserved to receive a title, body text, a picture, a chart or a table. It is what shows the prompt “Click to add title” on a new slide. Using placeholders rather than free-floating text boxes matters for three reasons. Their position and formatting come from the Slide Master, so slides stay consistent and can be restyled centrally. Text typed into a title placeholder appears in Outline View and in the navigation, where text-box content does not. And screen readers follow the placeholder order, so accessibility depends on them. The layout chosen for a slide determines which placeholders it has, and Reset on the Home tab restores any that have been moved or resized back to their defined positions. An empty placeholder is not printed or shown during a presentation, so one left unfilled does nothing visible - unlike an empty text box, which may leave stray formatting.

Your Answer : (Not Answered)

Correct Answer : C

The correct matching is a-IV, b-III, c-II, d-I.

• Deedwana (Didwana) Lake, a salt lake, is in Didwana-Kuchaman (IV).
• Bal Samand Lake is in Jodhpur (III).
• Ramgadh (Ramgarh) Lake is near Jaipur (II).
• Lunkaransar Lake, another salt lake, is in Bikaner (I).

Option A simply pairs the lists in order, which puts Didwana in Bikaner and Lunkaransar in Didwana-Kuchaman, the reverse of the truth.

Your Answer : (Not Answered)

Correct Answer : B

Kolihan is known for copper.

Kolihan is an underground copper mine in the Khetri copper belt of Jhunjhunu district, Rajasthan, worked by Hindustan Copper Limited along with the nearby Khetri mine. Khetri-Singhana is the best-known copper region of the state.

Rajasthan's lead and zinc come from the Zawar and Rampura-Agucha mines of Udaipur and Bhilwara. Its iron ore and coal deposits are small, the coal being lignite in Bikaner and Barmer. None of these is associated with Kolihan.

Your Answer : (Not Answered)

Correct Answer : B

It is Kazakh.

Kazakh is the state language and Russian has equal official status in administration. Kazakh is a Turkic language, and the country is changing its script from Cyrillic to Latin.

Your Answer : (Not Answered)

Correct Answer : D

The Collection of Statistics Act was enacted in 1953.

It empowered government to collect statistics on specified economic and social subjects and made returns compulsory, while protecting the confidentiality of individual returns. It was replaced by the Act of 2008.

Your Answer : (Not Answered)

Correct Answer : A

The 2020 Summer Olympics were held at Tokyo, postponed by a year to July and August 2021 because of the COVID-19 pandemic but still called Tokyo 2020.

They were staged almost entirely without spectators. Tokyo had also hosted the Games in 1964.

Your Answer : (Not Answered)

Correct Answer : C

One fathom is 1.8288 m, exactly 6 feet.

\[ 6 \times 0.3048 = 1.8288\ \mathrm{m} \]

The unit is used for the depth of water and comes from the Old English for the span of a man's outstretched arms.

Your Answer : (Not Answered)

Correct Answer : C

High-energy subatomic particles arriving from space are cosmic rays. Despite the name they are particles, not radiation - about 90 per cent protons, 9 per cent helium nuclei and the rest heavier nuclei and electrons.

They originate mainly in supernova remnants, and reach energies far beyond anything achievable in a laboratory.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: A judge of the Supreme Court

Article 324(5) provides that the Chief Election Commissioner shall not be removed from office except in like manner and on like grounds as a judge of the Supreme Court - that is, by an order of the President following an address by both Houses, supported by a special majority, on the ground of proved misbehaviour or incapacity. Conditions of service cannot be varied to his disadvantage after appointment. The protection is not shared equally. The other Election Commissioners can be removed by the President on the recommendation of the Chief Election Commissioner, which is a much weaker safeguard and has been criticised as leaving them dependent on him, even though all three have equal decision-making power. The same removal procedure applies to the Comptroller and Auditor General under Article 148. A member of the UPSC is removed differently - by the President on the ground of misbehaviour, after an inquiry and report by the Supreme Court. A Governor holds office simply during the President’s pleasure.