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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The arc length of a sector of a circle that subtends a $22.5^{\circ}$ angle at the centre is given as $16.5$ cm. What will be the radius (in cm) of the circle? [Use $\pi=\frac{22}{7}$]

Option 1: 35

Option 2: 49

Option 3: 42

Option 4: 48

Team Careers360 25th Jan, 2024

Correct Answer: 42


Solution : Given: Length of a sector = $16.5$ cm
$\theta$ = $22.5^\circ$
We know that,
Length of the sector = $\frac{\theta}{360^\circ}×2\pi r$
⇒ $16.5 = \frac{22.5^\circ}{360^\circ}×2\pi r$
⇒ $16.5 = \frac{1}{16}×2\pi r$
⇒ $r = \frac{16×16.5×7}{2×22} = 42$ cm
Hence, the correct answer is 42.

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Question : Which of the following players won silver at the Tokyo Olympics 2020?

Option 1: Mirabai Chanu and Sushil Kumar

Option 2: P. V. Sindhu and Sushil Kumar

Option 3: Ravi Kumar Dahiya and Mirabai Chanu

Option 4: Ravi Kumar Dahiya and Sushil Kumar

Team Careers360 24th Jan, 2024

Correct Answer: Ravi Kumar Dahiya and Mirabai Chanu


Solution : The correct answer is Ravi Kumar Dahiya and Mirabai Chanu.

Ravi Kumar Dahiya clinched the men's freestyle 57 kg wrestling silver, reaching the final but losing to a Russian Olympic Committee wrestler. Mirabai Chanu secured the women's weightlifting 49

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Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete?
QX 10, ?, WD 30, ZG 26, CJ 130

Option 1: SB 15

Option 2: TA 6

Option 3: SC 12

Option 4: TB 18

Team Careers360 23rd Jan, 2024

Correct Answer: TA 6


Solution : Given:
QX 10, ?, WD 30, ZG 26, CJ 130

In the above-given series, add 3 to the place values of the letters, subtract 4, and multiply 5 alternatively in the numbers to arrive at the next term of the series.
First letter of

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Question : Directions: In the following question, select the missing number from the given series.
16, 32, 64, 128, ?, 512

Option 1: 320

Option 2: 128

Option 3: 192

Option 4: 256

Team Careers360 24th Jan, 2024

Correct Answer: 256


Solution : Given:
16, 32, 64, 128, ?, 512

In the above-given series, multiply the previous number by 2 to get the next number.
16 × 2 = 32; 32 × 2 = 64; 64 × 2 = 128; 128 × 2 = 256; 256 × 2

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Question : Directions: Identify the figure given in the options which when put in place of (?) will logically complete the series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figure –
The image inside the box rotates 90 in a clockwise direction in each figure.
So, the next figure of the series will be –

Hence, the second option is correct.

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Question : Directions: If A stands for ÷, B stands for ×, C stands for +, D stands for –. What will come in place of the question mark (?) in the following equation?
83 C 7 B 539 A 49 D 29 = ?

Option 1: 131

Option 2: 171

Option 3: 121

Option 4: 180

Team Careers360 24th Jan, 2024

Correct Answer: 131


Solution : Given: 
83 C 7 B 539 A 49 D 29 = ?

After replacing the letters with the mathematical signs, the equation becomes –
= 83 + 7 × 539 ÷ 49 – 29 
= 83 + 7 × 11 – 29 
= 83 +

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Question : Points D, E, and F all lie on the circumference of a circle with centre O. If angle DEF = 48°, then what is a possible value of angle DOF?

Option 1: 84°

Option 2: 96°

Option 3: 90°

Option 4: 48°

Team Careers360 25th Jan, 2024

Correct Answer: 96°


Solution : The points D, E, and F lie in a circle with centre O.
$\angle$DEF = 48$^{\circ}$
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
According to the

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