Staff Selection Commission Combined Graduate Level Exam
Question : The value of $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ is:
Option 1: $\frac{2}{3}$
Option 2: $\frac{2}{5}$
Option 3: $-\frac{11}{60}$
Option 4: $0$
Correct Answer: $\frac{2}{3}$
Solution : Given: $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \times \frac{3}{4}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{3}{5}+\frac{1}{2}$ = $\frac{2}{3}- \frac{1}{2}+\frac{1}{2}$ = $\frac{2}{3}$ Hence, the correct answer is $\frac{2}{3}$.
Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ where $a \neq b\neq c\neq 0$, then the value of $a^{2}b^{2}c^{2}$ is:
Option 1: –1
Option 2: abc
Option 3: 0
Option 4: 1
Correct Answer: 1
Solution : $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ $⇒a-b=\frac{1}{c}-\frac{1}{b}=\frac{b-c}{bc}...(i)$ $⇒b-c=\frac{1}{a}-\frac{1}{c}=\frac{c-a}{ac}...(ii)$ $⇒a-c=\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ba}...(iii)$ Multiplying the above equations, we have, $⇒(a-b)(b-c)(a-c)=(\frac{b-c}{bc})(\frac{c-a}{ac})(\frac{b-a}{ba})$ $⇒(a-b)(b-c)(a-c)=(\frac{(b-c)(c-a)(b-a)}{a^2b^2c^2})$ $⇒ a^2b^2c^2=(\frac{(b-c)(c-a)(b-a)}{(a-b)(b-c)(a-c)})$ $a \neq b\neq c\neq 0$ $⇒ a^2b^2c^2= 1$ Hence, the correct answer is 1.
Question : Which rock is found in association with rocks composed of calcium carbonates?
Option 1: Limestone
Option 2: Gold
Option 3: Iron
Option 4: Diamond
Correct Answer: Limestone
Solution : The correct option is Limestone.
Limestone is primarily composed of calcium carbonate (CaCO3). It frequently coexists with other sedimentary rocks, such as chalk, that contain calcium carbonate. The mineralogical compositions and the geological processes that produced these rocks are similar. They go by
Question : Sarojini Naidu was elected the first Indian woman President of the Indian National Congress at __________.
Option 1: Kanpur
Option 2: Ahmedabad
Option 3: Delhi
Option 4: Nagpur
Correct Answer: Kanpur
Solution : The correct answer is Kanpur.
Sarojini Naidu was elected as the first Indian woman President of the Indian National Congress in 1925. This historic event took place during the Kanpur session of the Congress. She played a significant role in the Indian independence movement
Question : Select the sentences that contain no spelling errors.
Option 1: I saw the dress catalouge pieces of Asha’s corchiture collection.
Option 2: I saw the dress catalougue pieces of Asha’s couture collection.
Option 3: I saw the dress catalougue pieces of Asha’s corchiture collection.
Option 4: I saw the dress catalogue pieces of Asha’s couture collection.
Correct Answer: I saw the dress catalogue pieces of Asha’s couture collection.
Solution : The correct choice is the fourth option.
Explanation: The word couture is used to describe high-fashion clothing that is made to order for a specific customer. In the given sentence, the correct spelling is
Question : Which of the following is not an indirect tax?
Option 1: Excise tax
Option 2: Goods and services tax
Option 3: Customs duty
Option 4: Wealth tax
Correct Answer: Wealth tax
Solution : The correct answer is a Wealth tax.
Wealth tax is not considered an indirect tax; rather, it is a direct tax. The distinction between direct and indirect taxes lies in how they are imposed and who bears the ultimate economic burden of the
Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37 \frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the remaining work in (x + 8) days. If the ratio of the work done by (B + C) together to the work done by (A + C) together is 9 : 11, then what fraction of the same work can be completed by C alone in 3.5x days?
Option 1: $\frac{18}{25}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{7}{10}$
Option 4: $\frac{3}{4}$
Correct Answer: $\frac{7}{10}$
Solution : Given: A can do $\frac{1}{3}$ of a task in 32 days. Total work done = Number of days × Efficiency So, A can complete the task in 32 × 3 = 96 days B can do $37 \frac{1}{2}$% of the same task in 24 days,
Question : Which form of leucoplast specialises in oil synthesis and storage and is mainly found in the layer of cells in pollen grains that develop pollen grains?
Option 1: Gerontoplasts
Option 2: Proteinoplasts
Option 3: Chloroplasts
Option 4: Elaioplasts
Correct Answer: Elaioplasts
Solution : The correct answer is Elaioplasts.
Elaioplasts are a type of plastids in plant cells. They are responsible for the storage of oils and fats, particularly in the form of lipid droplets. Elaioplasts play a crucial role in lipid metabolism and can be found in various
Question : Which of the following is the correct duration of 'Financial Year 2022-23' in India?
Option 1: 1 January 2022 to 1 January 2023
Option 2: 30 April 2022 to 1 March 2023
Option 3: 30 April 2022 to 31 March 2023
Option 4: 1 April 2022 to 31 March 2023
Correct Answer: 1 April 2022 to 31 March 2023
Solution : The correct answer is 1 April 2022 to 31 March 2023.
The financial year in India starts every year on the 1st of April of the calendar year and ends on the 31st of March of the next
Question : Directions: Which two signs should be interchanged to make the given equation correct? 756 ÷ 252 + 89 × 180 – 63 = 384
Option 1: + and ×
Option 2: ÷ and –
Option 3: – and +
Option 4: ÷ and +
Correct Answer: + and ×
Solution : Given: 756 ÷ 252 + 89 × 180 – 63 = 384
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and × = 756 ÷ 252 × 89 + 180
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