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Staff Selection Commission Combined Graduate Level Exam

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Question : The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

Option 1: 60

Option 2: 54

Option 3: 48

Option 4: 72

Team Careers360 17th Jan, 2024

Correct Answer: 60


Solution : The length of the direct common tangent between two circles,
$=\sqrt{d^2 - (r_1 - r_2)^2}$, where $r_1,r_2$ are the radii of the circles and $d$ is the distance between their centres.
Given that $d$ = 61 cm, $r_1$ = 35 cm, and $r_2$ = 24

23 Views

Question : Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Then the number of sides of each polygon is:

Option 1: 10 and 20

Option 2: 4 and 8

Option 3: 3 and 6

Option 4: 5 and 10

Team Careers360 19th Jan, 2024

Correct Answer: 5 and 10


Solution : Given that the sides of the two regular polygons are in the ratio 1 : 2.
The interior angles of these polygons are in the ratio 3 : 4
Let the number of sides of the polygons be $n$ and $2n$ respectively.
The

16 Views

Question : Which order of the courts means “arrested person should be presented before the court?”

Option 1: Habeas corpus

Option 2: Mandamus

Option 3: Certiorari

Option 4: Quo warranto

Team Careers360 16th Jan, 2024

Correct Answer: Habeas corpus


Solution : The correct option is Habeas corpus.

"Habeas corpus" is a legal principle that protects an individual's right to be free from unlawful detention or imprisonment. It allows a person to challenge the legality of their detention in court.

21 Views

Question : The nature of fuse wire is

Option 1: high resistance and low melting point.

Option 2: high resistance and high melting point.

Option 3: low resistance and high melting point.

Option 4: low resistance and low melting point.

Team Careers360 24th Jan, 2024

Correct Answer: high resistance and low melting point.


Solution : The Correct Answer is-  high resistance and low melting point.

It is an electrical safety device created to guard against overcurrent damage to an electrical circuit. Since there is a lot of current flowing through the fuse wire, the resistance

9 Views

Question : Linseed is obtined from

Option 1: Castor

Option 2: Flax

Option 3: Groundnut

Option 4: Sesame

Team Careers360 16th Jan, 2024

Correct Answer: Flax


Solution : The correct answer is flax.

Linseed is used for extracting oil and it has variety of uses like edible vegetable oil and industrial uses like production of paints, polishes, varnishes and in wood finishing etc. Linseed oil has therapeutic properties also and is used for

16 Views

Question : In which five-year plan was the Mahalanobis Model started?

Option 1: Second

Option 2: Fourth

Option 3: Third

Option 4: First

Team Careers360 18th Jan, 2024

Correct Answer: Second


Solution : The correct answer is Second.

The Mahalanobis Model, also known as the Second Five-Year Plan of India, was initiated during the Second Five-Year Plan (1956–1961). This model was developed by the Indian economist Prasanta Chandra Mahalanobis and aimed at promoting industrialization and economic growth

12 Views

Question : The value of $\frac{a}{a-b}+\frac{b}{b-a}$ is:

Option 1: $\frac{(a+b)}{(a-b)}$

Option 2: $-1$

Option 3: $2ab$

Option 4: $1$

Team Careers360 11th Jan, 2024

Correct Answer: $1$


Solution : Given: $\frac{a}{a-b}+\frac{b}{b-a}$
= $\frac{a}{a-b}-\frac{b}{a-b}$
= $\frac{a-b}{a-b}$
= $1$
Hence, the correct answer is $1$.

35 Views

Question : The difference between a discount of 35% on INR 3,600 and two successive discounts of 30% and 5% on the same amount is:

Option 1: 54

Option 2: 78

Option 3: 82

Option 4: 52

Team Careers360 16th Jan, 2024

Correct Answer: 54


Solution : We know that Selling price = $\frac{100- \text{Discount}\%}{100}×$ cost price
So, the amount after a discount of 35% on INR 3,600
= $\frac{(100-35)}{100}×3,600$
= 2340
Amount after two successive discounts of 30% and 5% on INR 3,600
= $\frac{(100-30)}{100}$×$\frac{(100-5)}{100}$×3600
= 2394
$\therefore$ Difference = 2394

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