Your Answer : (Not Answered)

Correct Answer : B

The value of θ is 60°.

Check the options in the left-hand side. At 60°:

\[ \begin{aligned} \sin 60^{\circ} - \cos 60^{\circ} &= \frac{\sqrt{3}}{2} - \frac{1}{2} \\ &= \frac{\sqrt{3} - 1}{2} \end{aligned} \]

That matches. At 45° the difference is 0, at 90° it is 1, and at 75° it is \(\sin 75^{\circ} - \cos 75^{\circ} = \tfrac{\sqrt{2}}{2} \approx 0.71\), whereas \(\tfrac{\sqrt{3}-1}{2} \approx 0.37\).

Your Answer : (Not Answered)

Correct Answer : C

HNP is the odd one. In each of SXZ, BGI and TYA the gap between the first two letters is 5 and between the last two is 2 (S to X is 5, X to Z is 2; B to G is 5, G to I is 2; T to Y is 5, Y to A is 2). In HNP the gaps are 6 (H to N) and 2 (N to P). So HNP breaks the pattern. In each of the other three clusters the letters follow the same shape: every letter is moved forward by the same two steps, 5 and then 2, so the cluster is built from one rule. HNP is the only cluster whose first step is 6, which is why it does not belong.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 42

The gaps are 4, 6, 8, 10, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is the square of its position plus the position itself: position 2 gives 2 and position 6 gives 30. The next position is 7, which gives 42. As a check, the same rule applied to the earlier positions reproduces 2, 6, 12, 20, 30 exactly, so it accounts for every term shown and not merely the last. A square series grows faster than any arithmetic one but more slowly than a geometric one, which places it at a glance.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Granddaughter

A is B’s sister, so A is also a child of C, B’s mother. D is C’s father, so A is a child of D’s daughter - and A being female, she is D’s granddaughter. E, D’s mother, plays no part in the link.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: 2

Third in the rearranged paragraph is sentence 2.

The paragraph runs 3 – 6 – 2 – 4 – 1 – 5:

1. 3 introduces Manohar and his transfer.
2. 6 looks back - before that he was at the Chandrapur branch.
3. 2 explains what Chandrapur is: a rural area.
4. 4 gives the difficulty - he could not adjust to city life.
5. 1 gives the help with but.
6. 5 closes with now - he is proud of his colleagues.

Before that in 6 and now in 5 mark the two ends of the time line.

Your Answer : (Not Answered)

Correct Answer : B

The error is in that he will explain it.

The reporting verb promised is past, so will becomes would. The tense sequence must be kept through the reported clause.

Your Answer : (Not Answered)

Correct Answer : B

The error is in a ten rupee's note will not buy you.

A compound modifier before a noun takes no possessive and no plural - a ten-rupee note, a five-year-old child, a three-mile walk.

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: 1:1

One employee to one office and one office to one employee is a one-to-one relationship. The test is to read the mapping in both directions: if either direction allows several, the relationship is one-to-many or many-to-many.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: t = 1025 sec

Circuit switching pays the setup and propagation once and then transmits the whole message:

\[ t = 5 + 5 + \frac{10^{6}}{10^{3}} + \ldots = 1025\ \text{s} \]

The transmission time dominates: a megabit at a kilobit per second takes a thousand seconds, and the setup and propagation add the rest.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: OR gate immediately followed by an inverter

NOR means NOT-OR: \( (A+B)' \). Inverting the output of an OR gate produces exactly that expression.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: All of above

All three are word processors: WordPerfect and MS Word are the two best known, and Easy Word is a lightweight processor of the same kind.

Your Answer : (Not Answered)

Correct Answer : D

Correct answer: Animation Scheme

An animation scheme applies a ready-made set of entrance and emphasis effects to the objects on a slide. Slide transition governs the change between slides rather than movement within one.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Appears t the left of the formula bar

The Name box sits at the left of the formula bar. It shows the reference of the active cell and can be typed into to jump to a cell or to name a range.

Your Answer : (Not Answered)

Correct Answer : C

The Hindu Minority and Guardianship Act was enacted in 1956.

It codified guardianship among Hindus, naming the father as natural guardian and the mother after him, with the welfare of the minor as the paramount consideration.

Your Answer : (Not Answered)

Correct Answer : B

Dipa Karmakar is a gymnast, and won bronze in the vault at the 2014 Commonwealth Games - India's first Commonwealth medal in the sport.

She went on to finish fourth at the Rio Olympics and won gold at the 2018 World Challenge Cup.

Your Answer : (Not Answered)

Correct Answer : A

Nalanda is near Patna in Bihar.

The mahavihara flourished from the fifth to the twelfth century and drew students from across Asia; Xuanzang and Yijing both studied there. It was destroyed by Bakhtiyar Khilji about 1200 and was inscribed by UNESCO in 2016.

Your Answer : (Not Answered)

Correct Answer : B

Africa is the second largest continent, covering about 30.1 million km².

Only Asia, at about 44.6 million km², is larger. North America follows at 24.3 million and South America at 17.8 million.

Your Answer : (Not Answered)

Correct Answer : B

Short-term variations of the atmosphere, from minutes to months, are weather.

Climate is the average of that weather taken over a long period, conventionally thirty years. Temperature and humidity are individual elements of weather, not the term for the whole.

Your Answer : (Not Answered)

Correct Answer : B

West Bengal is the leading paper-producing state in India, its mills concentrated along the Hooghly where coal, water and transport all came together.

Your Answer : (Not Answered)

Correct Answer : A

IDBI was established in 1964.

It was set up as a wholly owned subsidiary of the Reserve Bank to act as the apex institution for industrial finance, coordinating the work of the other development banks. Ownership was transferred to the government in 1976, and it became a bank in 2004.