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Staff Selection Commission Combined Graduate Level Exam

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Question :

Directions: In the following question, select the related word from the given alternatives.
Electric Current : Ampere :: Weight : ?

Option 1: Scale 

Option 2: Kilogram 

Option 3: Commodity 

Option 4: Measurement 

Team Careers360 20th Jan, 2024

Correct Answer: Kilogram 


Solution : Given:
Electric Current : Ampere :: Weight : ? 

Electric current is measured in amperes.
Similarly, weight is measured in kilograms.

Hence, the second option is correct.

9 Views

Question : Find the value of $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$.

Option 1: $\frac{1}{\sqrt{3}}$

Option 2: $\frac{1}{1-\sqrt{3}}$

Option 3: $\frac{\sqrt{3}}{2}$

Option 4: $\frac{2}{\sqrt{3}}$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{\sqrt{3}}{2}$


Solution : $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$
= $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{1}$
= $\cos (2×15)^{\circ}$ (Since $\cos^2A-\sin^2A=\cos2A$)
= $\cos 30^{\circ}$ 
= $\frac{\sqrt 3}2$
Hence, the correct answer is $\frac{\sqrt 3}2$.

11 Views

Question : If $\cos (A-B)=\frac{\sqrt{3}}{2}$, and $\cos (A+B)=0$, where $A$ and $B$ are positive acute angles and $A \geq B$, then the measures of $A$ and $B$ are:

Option 1: 80° and 10°

Option 2: 60° and 30°

Option 3: 70° and 20°

Option 4: 50° and 40°

Team Careers360 24th Jan, 2024

Correct Answer: 60° and 30°


Solution : Given, $\cos (A-B)=\frac{\sqrt{3}}{2}$ and $\cos (A+B)=0$
Since $A$ and $B$ are acute positive angles,
$\cos (A-B)=\frac{\sqrt{3}}{2}$
⇒ $(A-B) = \cos^{-1} \frac{\sqrt{3}}{2}$
⇒ $(A-B) = 30°$ ------------------ (1)
$\cos (A+B)=0$
⇒ $(A+B) = \cos^{-1} 0$
⇒ $(A+B) = 90°$ --------------------- (2)
Solving (1) and

44 Views

Question : The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?

Option 1: $\frac{2n+5}{2}$

Option 2: $(n+2)$

Option 3: $(n+3)$

Option 4: $\frac{2n+9}{2}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{2n+5}{2}$


Solution : Average of 5 consecutive integers starting with 'm' = n
Let m, m + 1, m + 2, m + 3, m + 4 be the 5 consecutive integers.
Average of 5 consecutive integers = middle term
$n$ = m + 2---------------------------------(i)
Then 6 consecutive

21 Views

Question : Select the correct passive form of the given sentence.
She has learned many lessons in this camp.

Option 1: Many lessons has been learned by her in this camp.

Option 2: Many lessons are being learned by her in this camp.

Option 3: Many lessons have been learned by her in this camp.

Option 4: Many lessons were learned by her in this camp.

Team Careers360 22nd Jan, 2024

Correct Answer: Many lessons have been learned by her in this camp.


Solution : The third option is the correct choice.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the

7 Views

Question : What is the numerical value of a physical quantity?

Option 1: Reference

Option 2: Direction

Option 3: Distance

Option 4: Magnitude

Team Careers360 21st Jan, 2024

Correct Answer: Magnitude


Solution : The correct answer is Magnitude.

In physics, magnitude refers to a physical quantity's strength or intensity. It is often expressed as a numerical value and used to compare different quantities to one another. Among the physical quantities that can be measured by magnitude are

92 Views

Question : The chart shows the population of the seven districts of the National Capital Territory of Delhi. If the total population of the seven districts is 150 crore, find the total population of A and D.

Option 1: 45 Crore

Option 2: 46 Crore

Option 3: 40 Crore

Option 4: 42 Crore

Team Careers360 18th Jan, 2024

Correct Answer: 45 Crore


Solution : Total population = 13$x$ + 16$x$ + 8$x$ + 17$x$ + 18$x$ + 13$x$ + 15$x$ = 100$x$
Given:
100$x$ = 150 crores
$\therefore x$ = 1.5 crores
Population of A = 13$x$ = 13 × 1.5 crore = 19.5 crores
Population of D

11 Views

Question : The Raigarh Gharana is associated with which of the following dance forms?

Option 1: Odissi

Option 2: Kathakali

Option 3: Kathak

Option 4: Manipuri

Team Careers360 23rd Jan, 2024

Correct Answer: Kathak


Solution : The correct option is Kathak.

The Raigarh Gharana is associated with the Kathak dance form. Kathak is a classical Indian dance form that has several arenas or schools, each with its distinct style and traditions. The Raigarh Gharana is one of these gharanas and

10 Views

Question : Select the most appropriate ANTONYM of the word ‘STRANGE’ from the given sentence.

The intriguing journal took a back place once more to the more mundane events at the Ouray Inn.

Option 1: events

Option 2: intriguing

Option 3: mundane

Option 4: place

Team Careers360 19th Jan, 2024

Correct Answer: mundane


Solution : The correct choice is the third option.

We know that intriguing means fascinating, captivating, or unusual, and mundane means ordinary, commonplace, or lacking interest or excitement.

The word intriguing is synonymous with strange in the context of being interesting or out of the ordinary.

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