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Staff Selection Commission Sub Inspector Exam

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Question : The radii of two circles are 5 cm and 3 cm. The distance between their centre is 24 cm. Then the length of the transverse common tangent is:

Option 1: $16$ cm

Option 2: $15\sqrt{2}$ cm

Option 3: $16\sqrt{2}$ cm

Option 4: $15$ cm

Team Careers360 16th Jan, 2024

Correct Answer: $16\sqrt{2}$ cm


Solution : Given, $r_1$ = 5 cm and $r_2$ = 3 cm
Distance between two circles, $d$ = 24 cm
We know, the length of the transverse common tangent
= $\sqrt{d^2-(r_1+r_2)^2}$
= $\sqrt{24^2-(5+3)^2}$
= $\sqrt{576-64}$
= $\sqrt{512}$
= $16\sqrt{2}$ cm
Hence, the correct answer is $16\sqrt{2}$

17 Views

Question : Engineers from which of the following countries have developed the world's fastest car, the Venom GT, with a top speed of 435 kilometres per hour?

Option 1: U.S.A

Option 2: South Korea

Option 3: Japan

Option 4: Germany

Team Careers360 19th Jan, 2024

Correct Answer: U.S.A


Solution : The correct option is the U.S.A.

The fastest automobile in the world, with a peak speed of an astounding 435 kilometres per hour, was created by US experts. During a test drive at the Kennedy Space Center in Florida, the Venom GT from US company

15 Views

Question : Select the most appropriate ANTONYM of the given word.
Reprieve

Option 1: Turn out

Option 2: Torrential

Option 3: Cease

Option 4: Continuation

Team Careers360 21st Jan, 2024

Correct Answer: Continuation


Solution : The correct choice will be the fourth option.

The most appropriate antonym for the word reprieve is continuation.

Reprieve: A reprieve is a temporary relief or delay from something unpleasant, such as a punishment or difficult situation.

Continuation: Continuation refers to the act of continuing

12 Views

Question : Select the most appropriate meaning of the underlined idiom in the following sentence.
A wise man remains aware of fair-weather friends.

Option 1: A person from an area of pleasant weather

Option 2: A person with good knowledge of weather

Option 3: A helpful person

Option 4: A person not reliable in difficult time

Team Careers360 18th Jan, 2024

Correct Answer: A person not reliable in difficult time


Solution : The correct answer is the fourth option.

The idiom "fair-weather friends" refers to people who are supportive and friendly only during good or easy times but are not reliable or supportive during challenging times.

These individuals are like friends

18 Views

Question : One can distinguish a telescope from a microscope by observing.

Option 1: length

Option 2: colour

Option 3: size of the glass

Option 4: length and size of the lens

Team Careers360 24th Jan, 2024

Correct Answer: length and size of the lens


Solution : The correct option is the length and size of the lens.

Telescopes use objective lenses or mirrors to gather and focus light from distant objects. Microscopes use objective lenses to collect light from the specimen and produce a magnified

10 Views

Question : Directions: If A denotes +, B denotes ×, C denotes −, and D denotes ÷, then what will be the value of the following expression?
25 C 21 D 7 B 3 A 4 = ?

Option 1: 20

Option 2: 21

Option 3: 24

Option 4: 43

Team Careers360 21st Jan, 2024

Correct Answer: 20


Solution : Given:
25 C 21 D 7 B 3 A 4 = ?

After replacing the letters with the mathematical signs, we get –
⇒ 25 − 21 ÷ 7 × 3 + 4
⇒ 25 − 3 × 3 + 4
⇒ 25 − 9

68 Views

Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series to make it logically complete?
PTA, QUB, RVC, SWD, ?

Option 1: XET

Option 2: TEX

Option 3: XTE

Option 4: TXE

Team Careers360 18th Jan, 2024

Correct Answer: TXE


Solution : Given:
PTA, QUB, RVC, SWD, ? 

In the above-given series, add 1 to the place value of each letter of the previous letter cluster to obtain the next letter cluster.
PTA→P + 1 = Q; T + 1 = U; A + 1 = B

17 Views

Question : ____________ is the thinnest layer of Earth.

Option 1: Mantle

Option 2: Outer core

Option 3: Crust

Option 4: Inner core

Team Careers360 23rd Jan, 2024

Correct Answer: Crust


Solution : The correct answer is Crust.

The Earth's interior is divided into three concentric layers: crust, mantle and core. The crust is composed of silicate solids; the mantle contains viscous molten rock; the outer core comprises viscous liquid; and the inner core is made up

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