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Staff Selection Commission Sub Inspector Exam

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9 Views

Question : If $(x-y)=3$, then what is the value of $(x^3-y^3-9xy)$?

Option 1: $3$

Option 2: $9$

Option 3: $18$

Option 4: $27$

Team Careers360 12th Jan, 2024

Correct Answer: $27$


Solution : Given: $(x-y)=3$
To find: $(x^3-y^3-9xy)$
= $x^3-y^3-3xy×3$
= $x^3-y^3-3xy(x-y)$
= $(x-y)^3$
= $3^3$
= $27$
​​​​​​​Hence, the correct answer is $27$.

15 Views

Question : Under the Maurya administration, he was the ____________officer of Sitadhyaksha.

Option 1: of the royal harem

Option 2: import tax (custom)

Option 3: mines

Option 4: agriculture

Team Careers360 20th Jan, 2024

Correct Answer: agriculture


Solution : The correct option is Agriculture.

"Sitadhyaksha Adhyaksha," which means the chief officer or superintendent of agriculture under the Maurya administration. The Maurya Empire, which existed in ancient India from around 322 BCE to 185 BCE, had a well-organised administrative system with various officers responsible for

28 Views

Question : An article, which is marked Rs. 650, is sold for Rs. 572. The discount given is:

Option 1: 12%

Option 2: 13%

Option 3: 21%

Option 4: 26%

Team Careers360 19th Jan, 2024

Correct Answer: 12%


Solution : Marked price = Rs. 650
Selling price = Rs. 572
Discount = 650 – 572 = 78
$\therefore$ Discount percentage $=\frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{78}{650}×100 = 12\%$
Hence, the correct answer is 12%.

30 Views

Question : The value of $\frac{(157 \times 157)+(157 \times 133)+(133 \times 133)}{(157 \times 157 \times 157)-(133 \times 133 \times 133)}$ is:

Option 1: $\frac{1}{24}$

Option 2: $24$

Option 3: $290$

Option 4: $\frac{1}{290}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{1}{24}$


Solution : Given: $\frac{(157 \times 157)+(157 \times 133)+(133 \times 133)}{(157 \times 157 \times 157)-(133 \times 133 \times 133)}$
Let $a=157$ and $b=133$
= $\frac{a^2+ab+b^2}{a^3-b^3}$
= $\frac{a^2+ab+b^2}{(a-b)(a^2+ab+b^2)}$
= $\frac{1}{(a-b)}$
Putting the values, we get:
= $\frac{1}{157-133}$
= $\frac{1}{24}$
Hence, the correct answer is $\frac{1}{24}$.

21 Views

Question : Cripps Mission came to India in _____.

Option 1: 1946

Option 2: 1945

Option 3: 1942

Option 4: 1940

Team Careers360 20th Jan, 2024

Correct Answer: 1942


Solution : The correct answer is 1942.

Sir Richard Stafford Cripps led the Cripps India mission, which was sent to India by the British government in March 1942 to win India's support in World War II. The proposal offered dominion status and autonomy in both external

17 Views

Question : Which of the following is a warm-blooded animal?

Option 1: Turtle

Option 2: Snake

Option 3: Ape

Option 4: Lizard

Team Careers360 18th Jan, 2024

Correct Answer: Ape


Solution : The correct option is Ape.

Apes are warm-blooded creatures. Apes, like humans, are endothermic, meaning they can adjust their body temperature internally. This permits them to keep their body temperature largely constant independent of the temperature of their surroundings.

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