Staff Selection Commission Combined Higher Secondary Level Exam
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
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
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
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
Question : Directions: How many quadrilaterals are there in the given figure?
Option 1: 11
Option 2: 12
Option 3: 10
Option 4: 9
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.
Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.
To jump out of one’s skin
Option 1: To argue with someone
Option 2: To feel immense pain
Option 3: To show one’s real side
Option 4: To be extremely surprised
Correct Answer: To be extremely surprised
Solution : The correct choice is the fourth option.
Jumping out of one's skin means to get extremely startled or frightened, which is given in the fourth option.
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: $\frac{169}{109}$
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}
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
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
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.
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
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
Correct Answer: Blandness
Blandness means lack of strong emotions, boringness, etc., and pleasure is the synonym for joy.
The meanings of the other options are as follows:
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
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
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
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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