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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\sin\theta=\frac{9}{41}$, $0^{\circ}<\theta<90^{\circ}$. Then, what is the value of $\cot \theta $?

Option 1: $\frac{39}{9}$

Option 2: $\frac{47}{8}$

Option 3: $\frac{35}{8}$

Option 4: $\frac{40}{9}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{40}{9}$


Solution : Given: $\sin\theta=\frac{9}{41}$ in the interval $0^{\circ}<\theta<90^{\circ}$.
We know that $\mathrm{cosec}^2\theta–\cot^2\theta=1$.
$\sin\theta=\frac{9}{41}$
⇒ $\mathrm{cosec}\ \theta=\frac{41}{9}$
⇒ $\cot^2\theta=\mathrm{cosec}^2 \ \theta–1$
⇒ $\cot^2\theta=(\frac{41}{9})^2–1$
⇒ $\cot^2 \theta=\frac{1681}{81}–1$
⇒ $\cot^2\theta=\frac{1681–81}{81}$
⇒ $\cot^2\theta=\frac{1600}{81}$
⇒ $\cot\theta=\frac{40}{9}$
Hence, the correct answer is $\frac{40}{9}$.

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Question : Identify the longest part of the bacterial flagellum.

Option 1: Basal body

Option 2: Hook

Option 3: Tail

Option 4: Filament

Team Careers360 22nd Jan, 2024

Correct Answer: Filament


Solution : The correct option is Filament.

The filament is a thin, whip-like structure and the longest part of the bacterial flagellum. The filament is composed mainly of a protein called flagellin. The filament is a crucial component of bacterial motility and helps them move in

18 Views

Question : Silver gets corroded due to_________in air.

Option 1: oxygen

Option 2: Hydrogen sulphide

Option 3: Carbon dioxide

Option 4: Nitrogen

Team Careers360 9th Jan, 2024

Correct Answer: Hydrogen sulphide


Solution : The correct option is Hydrogen sulphide.

Silver can corrode due to the airborne hydrogen sulphide (H2S) content. Silver sulphide (Ag2S) is the main component of the black tarnish that results from exposure to Hydrogen sulphide on silver. This tarnish coating

15 Views

Question : ______ affects the rate of humus formation of soil.

Option 1: Flora and fauna

Option 2: Time

Option 3: Temperature

Option 4: Parent rock

Team Careers360 5th Jan, 2024

Correct Answer: Flora and fauna


Solution : The answer is Flora and Fauna.

Generally, the upper layer, or top layer, of the soil consists of the highest humus content. Humus is the organic matter formed by the dead and decaying parts of plants and animals, which are further divided by

16 Views

Question : In arc welding, argon is used because of its

Option 1: low reactivity with metal

Option 2: ability to lower the melting point of the metal

Option 3: high flammability

Option 4: high calorific value

Team Careers360 15th Jan, 2024

Correct Answer: low reactivity with metal


Solution : The correct option is low reactivity with metal.

Arc welding is a type of welding in which an electric arc is formed between an electrode and the workpiece, melting the metal at the joint and forming a weld. Argon's low reactivity

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Question : Directions: Select the related letter cluster from the given alternatives.
MOLTU : ? :: HOPE : IPQF

Option 1: MPNUV

Option 2: NPMUV

Option 3: NPMVU

Option 4: MPNVU

Team Careers360 14th Jan, 2024

Correct Answer: NPMUV


Solution : Given:
MOLTU : ? :: HOPE : IPQF

Add 1 to the place value of each letter of the letter cluster to obtain the required code.
Like, HOPE : IPQF –
H + 1 = I; O + 1 = P; P + 1 =

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