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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : $\Delta ABC$ and $\Delta DEF$ are similar. Also $\angle A=\angle D$ and $\angle B=\angle E$. If $4AB=DE$ and $BC=\operatorname{12 cm}$, then $EF$ is equal to:

Option 1: $\operatorname{3 cm}$

Option 2: $\operatorname{24 cm}$

Option 3: $\operatorname{16 cm}$

Option 4: $\operatorname{48 cm}$

Team Careers360 25th Jan, 2024

Correct Answer: $\operatorname{48 cm}$


Solution :

Given that $\Delta ABC\sim\Delta DEF$ and $4AB = DE$
Since the triangles are similar, the ratios of their corresponding sides are equal.
$\frac{BC}{EF} = \frac{AB}{DE}$
$⇒\frac{12}{EF} = \frac{AB}{4AB}=\frac{1}{4}$
$\therefore EF = 12×4 = \operatorname{48 cm}$
Hence, the correct answer is $\operatorname{48 cm}$.

24 Views

Question : Life originated by chemosynthesis was proved in the laboratory by:

Option 1: Frederick Sanger

Option 2: Louis Pasteur

Option 3: Stanley Miller

Option 4: Aristotle

Team Careers360 25th Jan, 2024

Correct Answer: Stanley Miller


Solution : The correct answer is Stanley Miller.

In the laboratory, Stanley Miller and Harold Urey demonstrated that life began with chemosynthesis. Miller and Urey undertook an experiment in 1952 to recreate the circumstances that occurred on early Earth. They put water, methane, ammonia, and hydrogen

19 Views

Question : If the phase difference between two points is 1200 for a wave with a velocity of 360 m/s and a frequency of 500 Hz, then the path difference between the two points is:

Option 1: 1 cm

Option 2: 6 cm

Option 3: 12 cm

Option 4: 24 cm

Team Careers360 25th Jan, 2024

Correct Answer: 24 cm


Solution : The correct option is 24cm.

Wavelength (λ ) can be calculated by dividing the velocity (v) of the wave by the wave frequency (f)

λ = v/f

λ = 360/500 = 0.72

φ= path difference

The path difference between the two points is

49 Views

Question : If the simple interest on INR 2,500 is more than the interest on INR 1,500 by INR 360 in 3 years, then find the rate of interest per annum.

Option 1: 11%

Option 2: 9%

Option 3: 10%

Option 4: 12%

Team Careers360 25th Jan, 2024

Correct Answer: 12%


Solution : Let $R$ be the rate of interest.
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
Simple interest on INR 2,500 after 3 years = $\frac{2500×3×R}{100}$
Simple interest on INR 1,500 after 3 years = $\frac{1500×3×R}{100}$
According to the question,
$\frac{1500×3×R}{100}$ + 360 = $\frac{2500×3×R}{100}$

48 Views

Question : If the simple interest on INR 2,500 is more than the interest on INR 1,500 by INR 360 in 3 years, then find the rate of interest per annum.

Option 1: 11%

Option 2: 9%

Option 3: 10%

Option 4: 12%

Team Careers360 25th Jan, 2024

Correct Answer: 12%


Solution : Let $R$ be the rate of interest.
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
Simple interest on INR 2,500 after 3 years = $\frac{2500×3×R}{100}$
Simple interest on INR 1,500 after 3 years = $\frac{1500×3×R}{100}$
According to the question,
$\frac{1500×3×R}{100}$ + 360 = $\frac{2500×3×R}{100}$

18 Views

Question : Directions: If 28373 is coded as 4166146 in a coding system, then how will 19351 be coded in the same coding system?

Option 1: 2186210

Option 2: 2186102

Option 3: 2813620

Option 4: 2180619

Team Careers360 25th Jan, 2024

Correct Answer: 2186102


Solution : Given:
28373 is coded as 4166146.

Multiply each digit of the 28373 by 2, to get the required code –
2 × 2 = 4; 8 × 2 = 16; 3 × 2 = 6; 7 × 2 = 14; 3 × 2 = 6

12 Views

Question : Directions: Find the missing number from the given responses.

Option 1: 68

Option 2: 65

Option 3: 55

Option 4: 60

Team Careers360 25th Jan, 2024

Correct Answer: 65


Solution : Here, multiply the number by 2 and subtract 1 in the clockwise direction to get the next number. 
Like, 17 = 9 × 2 – 1
And, 33 = 17 × 2 – 1
Similarly, 33 × 2 – 1 = 65

So, the missing

20 Views

Question : Select the most appropriate synonym of the given word.

Dynamic

Option 1: Famous

Option 2: Halt

Option 3: Innate

Option 4: Energetic

Team Careers360 25th Jan, 2024

Correct Answer: Energetic


Solution : The correct choice is the fourth option.

The most appropriate synonym is energetic. Dynamic refers to something characterised by constant change, activity, or progress. Similarly, energetic refers to having or showing a lot of energy or enthusiasm, which aligns well with the idea of

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