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Staff Selection Commission Combined Graduate Level Exam

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Question : In the shown figure, BC is a chord and CD is a tangent through the point C. If $\angle AOC=112^{\circ}$, then find $\angle ACD$.

Option 1: 63°

Option 2: 59°

Option 3: 65°

Option 4: 56°

Team Careers360 25th Jan, 2024

Correct Answer: 56°


Solution : The angle subtended by an arc of a circle at its centre is twice the angle it subtends on any point of the circle's circumference.
So, $\angle$AOC = 2 $\angle$ABC
⇒ 112°= 2 $\angle$ABC
⇒ $\angle$ABC = 56°
Also, $\angle$ABC = $\angle$ACD
⇒ $\angle$ACD =

23 Views

Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:

Option 1: $2:1$

Option 2: $1:2$

Option 3: $4:3$

Option 4: $3:1$

Team Careers360 22nd Jan, 2024

Correct Answer: $3:1$


Solution : Given: A boat takes half the time to move a certain distance downstream than upstream.
Use the given formula,
Time × Speed = Distance
Also, boat speed in still water is $p$ km/hr.
Current speed = $q$ km/hr
The downstream speed is $(p + q)$

27 Views

Question : Direction: How many such pairs of letters are there in the word 'RECOVERED', which have as many letters between them in the word as in the English alphabet?

Option 1: THREE

Option 2: FOUR

Option 3: SIX

Option 4: FIVE

Team Careers360 21st Jan, 2024

Correct Answer: FOUR


Solution : Given:
RECOVERED

First, check the sequence of the letters from the left hand side –

R E C O V E R E D

 

R S T U V W X Y Z
  E F G H I J K L
    C D E F

26 Views

Question : The foremost right among rights to freedom is_________.

Option 1: right to life and personal liberty

Option 2: preventive detention

Option 3: freedom to assemble

Option 4: right to freedom of speech and expression

Team Careers360 23rd Jan, 2024

Correct Answer: right to life and personal liberty


Solution : The correct answer is the right to life and personal liberty.

The foremost right among rights to freedom is the right to life and personal liberty. This is mentioned in Article 21 of the Indian Constitution. Part 3 of

15 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
137, 114, ?, 91, 183

Option 1: 145

Option 2: 160

Option 3: 125

Option 4: 112

Team Careers360 24th Jan, 2024

Correct Answer: 160


Solution : Given:
137, 114, ?, 91, 183

Add 23 to odd-positioned numbers and subtract 23 from even-positioned numbers.

So, the missing number is 160. Hence, the second option is correct.

28 Views

Question : Direction: In the following question, from the given alternative words, select the word which cannot be formed using the letters of the given word.

DEPARTMENT

Option 1: ENTER

Option 2: PARENT

Option 3: TEMPER

Option 4: PARADE

Team Careers360 22nd Jan, 2024

Correct Answer: PARADE


Solution : Given:

DEPARTMENT

First option: ENTER; All the letters of ENTER are present in the word DEPARTMENT.

Second option: PARENT; All the letters of PARENT are present in the word DEPARTMENT.

Third option: TEMPER; All the letters of TEMPER are present in the word 

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