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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : What is the area of a rhombus whose diagonals are 8 cm and 13 cm?

Option 1: 52 cm2

Option 2: 96 cm2

Option 3: 44 cm2

Option 4: 84 cm2

Team Careers360 21st Jan, 2024

Correct Answer: 52 cm2


Solution : Length of one diagonal ($d_1$) = 8 cm
Length of the other diagonal ($d_2$) = 13 cm
We know, the area ($A$) of a Rhombus = $\frac{1}{2}d_1d_2=\frac{1}{2}$× 8 × 13 = 52 cm2​​​​​​
Hence, the correct answer is 52 cm2

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Question : Two alloys consist of copper and tin. The copper-to-tin ratio in the first alloy is 1 : 3, and in the second alloy, it is 2 : 5. What ratio should the two alloys be mixed in to create a new alloy with a tin-to-copper ratio of 8 : 3?

Option 1: 3 : 5

Option 2: 4 : 7

Option 3: 3 : 8

Option 4: 5 : 11

Team Careers360 21st Jan, 2024

Correct Answer: 4 : 7


Solution : Given: The ratio of copper and tin in the first alloy is 1 : 3.
And in the second alloy is 2 : 5.
Let the alloys be mixed in the ratio of $x:y$.
Copper in first alloy = $\frac{x}{4}$
Tin in first

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Question : Directions: How many quadrilaterals are there in the given figure?

Option 1: 11

Option 2: 12

Option 3: 10

Option 4: 9

Team Careers360 20th Jan, 2024

Correct Answer: 11


Solution : The given figure can be labelled as shown below –

In the above-labelled figure, there are a total of 11 quadrilaterals. They are ABJH, BCIJ, ACIH, HIFG, ACFG, CDEF, ABJG, BJFC, GJIF, GHJF, ADEG.

Hence, the first option is correct.

22 Views

Question : If cos A = $\frac{5}{13}$, then what is the value of (tan A + cot A)?

Option 1: $\frac{60}{169}$

Option 2: $\frac{109}{169}$

Option 3: $\frac{169}{60}$

Option 4: $\frac{169}{109}$

Team Careers360 21st Jan, 2024

Correct Answer: $\frac{169}{60}$


Solution : Given that $\cos A = \frac{5}{13}$,
So, $\sin A = \sqrt{1 - \cos^2 A} = \sqrt{1 - \left(\frac{5}{13}\right)^2} = \frac{12}{13}$
$⇒\tan A = \frac{\sin A}{\cos A}$ and $\cot A = \frac{1}{\tan A}$
$⇒\tan A = \frac{\sin A}{\cos A} = \frac{12}{5}$
$⇒\cot A = \frac{1}{\tan A}

15 Views

Question : Venturi meters are used to measure:

Option 1: Rate of flow of liquids

Option 2: Liquid pressure

Option 3: Surface tension

Option 4: Liquid density

Team Careers360 18th Jan, 2024

Correct Answer: Rate of flow of liquids


Solution : The correct answer is the Rate of flow of liquids.

A venturi Meter is a device that is used to measure the flow speed of a liquid in a pipe. The venturi Meter function is based on Bernoulli's equation. It is

14 Views

Question : Choose the sentence with no spelling error.

Option 1: New sieds are made through pollination.

Option 2: New seeds are made through polination.

Option 3: New seeds are made through pollination.

Option 4: New seeds are made throuhg pollination.

Team Careers360 25th Jan, 2024

Correct Answer: New seeds are made through pollination.


Solution : The correct choice is the third option. 

Explanation: The word in the question is pollination.

In the first option, there is a spelling error, as "sieds" must be spelt as "seeds".
In the second option, there is a

33 Views

Question : Select the most appropriate ANTONYM of the underlined word.

Science has been trying innumerable methods to prove the existence of the universe, but the biggest pleasure of science is its inability to produce a single theory that explains the whole universe.

Option 1: Inadequacy

Option 2: Joy

Option 3: Fear

Option 4: Blandness

Team Careers360 15th Jan, 2024

Correct Answer: Blandness


Solution : The correct choice is the fourth option.

Blandness means lack of strong emotions, boringness, etc., and pleasure is the synonym for joy.

The meanings of the other options are as follows:

  • Inadequacy is the lack of quantity or quality of something.
  • Joy is the feeling
24 Views

Question : The ratio of the present age of two girls is 3 : 4. After two years, the ratio will be 7 : 9. Which of the following statement(s) is/are correct?
I. The ratio of their ages after 10 years is 6 : 7.
II. The ratio of their ages after 12 years is 6 : 7.

Option 1: Both I and II

Option 2: Only II

Option 3: Neither I nor II

Option 4: Only I

Team Careers360 24th Jan, 2024

Correct Answer: Only II


Solution : Let the ages of the two girls be $3x$ and $4x$ years respectively.
According to the question,
$\frac{3x+2}{4x+2}=\frac{7}{9}$
⇒ $27x+18=28x+14$
⇒ $x=4$
Their ages are 12 years and 16 years respectively.
Ratio of their ages after 10 years = (12 + 10) : (16

21 Views

Question : The Comptroller and Auditor General of India is appointed by the

Option 1: Prime Minister

Option 2: President

Option 3: Finance Minister

Option 4: Lok Sabha

Team Careers360 15th Jan, 2024

Correct Answer: President


Solution : The correct option is President.

The President of India appoints the Comptroller and Auditor General (CAG). The CAG is appointed on the Prime Minister's proposal after consultation with different authorities, including the Speaker of the Lok Sabha, the Chairman of the Rajya Sabha, and

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