Staff Selection Commission Combined Graduate Level Exam
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: $\frac{40}{9}$
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 $\frac{40}{9}$.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The thing nodded vigorously; as it nodded, the left button-eye fell off and (1)__________ (2)__________ the concrete floor. The thing looked around (3)__________ with its one eye, as if it had lost her. The thing twisted bonelessly (4)__________. its one eye was again facing her. And it (5)__________ across the cellar towards her then. Select the most appropriate option to fill in the blank number 5.
Option 1: hung
Option 2: rung
Option 3: lunged
Option 4: flung
Correct Answer: lunged
Solution : The third option is the correct choice.
In the context provided, the action described involves movement towards the subject. Lunged is a verb that conveys a sudden forward movement, which aligns with the scenario of the thing moving across the cellar towards the person. The
Question : Identify the longest part of the bacterial flagellum.
Option 1: Basal body
Option 2: Hook
Option 3: Tail
Option 4: Filament
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
Question : The following table shows the exports of three companies P, Q, and R from 2015 to 2019.
Which of the following years has the highest total exports from the three companies together?
Option 1: 2019
Option 2: 2017
Option 3: 2015
Option 4: 2016
Correct Answer: 2019
Solution : Total exports in 2015 = 2000 + 4000 + 3000 = 9000 Total exports in 2016 = 1000 + 5000 + 2000 = 8000 Total exports in 2017 = 2000 + 4000 + 4000 = 10000 Total exports in 2018 = 3000 + 5000 +
Question : Silver gets corroded due to_________in air.
Option 1: oxygen
Option 2: Hydrogen sulphide
Option 3: Carbon dioxide
Option 4: Nitrogen
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
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The Maasais live in (1)_____ very beautiful part of Africa. They live on the wide plains in southern and northern Kenya and northern Tanzania. The area (2)_____ of miles of rolling grassland, on which you can find thorny bushes and rocky hills. The people move from one place to another according to the seasons, looking for grasses and other plants (3)_____ which their cattle can graze. They have no permanent home. When they want to settle in a place for some time, they build a kind of camp called a 'Manyatta', where a few families live for a (4)_____ weeks or months. Then they move on again, taking their few belongings with them, and burning the old 'Manyatta' to the ground.
Question:
Select the most appropriate option to fill in the blank number 3.
Option 1: with
Option 2: at
Option 3: on
Option 4: by
Correct Answer: on
Solution : The correct choice is the third option.
Explanation:
The sentence mentions "looking for grasses and other plants on which their cattle can graze". Here, the preposition on is appropriate, indicating the surface where the cattle graze. The phrase "on which their cattle can graze" specifies
Question : ______ affects the rate of humus formation of soil.
Option 1: Flora and fauna
Option 2: Time
Option 3: Temperature
Option 4: Parent rock
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
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
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
Question : Given below are four jumbled sentences. Select the option that gives their correct order.
A. The team is also collecting data on snow depth, weather, and wind speed. B. Chinese scientists are likely to be the only people to summit the world’s tallest mountain this year as both, China and Nepal cancelled spring climbing season. C. A team of scientists from China has scaled Mount Everest as a part of a project to re-measure its height. D. China’s network of satellites is being used in the survey to determine the mountain’s current height and natural resources.
Option 1: CADB
Option 2: ABDC
Option 3: ADBC
Option 4: CDAB
Correct Answer: CADB
Solution : The correct choice is the first option.
Sentence C introduces the main subject and sets the context for the subsequent sentences by establishing the purpose of the expedition, followed by sentence A, as it describes an aspect of the expedition, namely, the collection of
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
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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