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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Select the option that expresses the given sentence in passive voice.

Did the company launch a new product last month?

Option 1: Did the new product launch the company last month?

Option 2: Was the company launched by a new product last month?

Option 3: Was a new product launched by the company last month?

Option 4: Did the new product launch by the company last month?

Team Careers360 22nd Jan, 2024

Correct Answer: Was a new product launched by the company last month?


Solution : The third option is the correct choice.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the

19 Views

Question : If $x=\frac{1}{x-5}(x>0)$, then the value of $x+\frac{1}{x}$ is:

Option 1: $\sqrt{41}$

Option 2: $\sqrt{29}$

Option 3: $\sqrt{23}$

Option 4: $\sqrt{43}$

Team Careers360 11th Jan, 2024

Correct Answer: $\sqrt{29}$


Solution : $x=\frac{1}{x-5}(x>0)$
$⇒x^2-5x-1=0$
$⇒x^2-1=5x$
Multiplying both sides by $\frac{1}{x}$, we get,
$⇒x-\frac{1}{x}=5$
Squaring both sides, we get,
$⇒(x-\frac{1}{x})^2=5^2$
$⇒x^2+\frac{1}{x^2}-2=25$
Adding 4 to both sides, we get,
$⇒x^2+\frac{1}{x^2}+2=25+4$
$⇒(x+\frac{1}{x})^2=29$
$\therefore x+\frac{1}{x}=\sqrt{29}$
Hence, the correct answer is $\sqrt{29}$.

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Question : The radius of the base of a Conical tent is 12 m. The tent is 9 m high. Find the cost of canvas required to make the tent, if one square metre of canvas costs Rs. 120. (Take $\pi$ =3.14)

Option 1: Rs. 67,830

Option 2: Rs. 67,800

Option 3: Rs. 67,820

Option 4: Rs. 67,824

Team Careers360 11th Jan, 2024

Correct Answer: Rs. 67,824


Solution : The lateral surface area of a cone,
$A = \pi r l$
where $r$ is the radius of the base, and $l$ is the slant height of the cone.
Given: $r = 12\operatorname{ m }$, and $h = 9\operatorname{ m}$
$l = \sqrt{r^2 +

20 Views

Question : The Palk Strait lies between

Option 1: Bay of Bengal and Gulf of Mannar

Option 2: Andaman and Nicobar Islands

Option 3: Rann of Kutch and Gulf of Khambhat

Option 4: Lakshadweep and Maldives

Team Careers360 25th Jan, 2024

Correct Answer: Bay of Bengal and Gulf of Mannar


Solution : The correct option is Bay of Bengal and Gulf of Mannar.

 

The Palk Strait lies between India and Sri Lanka. It's a narrow strip of water that separates the southeastern coast of India's Tamil Nadu state from the northern

31 Views

Question : Nikhil buys a diamond ring for his wife. The diamond ring is marked at Rs. 20,000 and two successive discounts of 25% and $x$% respectively are given. After getting two consecutive discounts, he paid Rs. 12,000. Find the value of $x$.

Option 1: 40%

Option 2: 10%

Option 3: 20%

Option 4: 35%

Team Careers360 10th Jan, 2024

Correct Answer: 20%


Solution : The marked price of diamond ring = Rs. 20,000
Discount% = 25% and $x$%
The selling price of diamond ring = Rs. 12,000
We know that, for two successive discounts, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
So, $12000=\frac{100-25}{100}\times\frac{100-x}{100}\times 20000$
⇒ $160=200-2x$
⇒ $2x =

14 Views

Question : Directions: Which number will replace the question mark (?) to complete the given series?
17, 18, 20, ?, 27, 32

Option 1: 22

Option 2: 20

Option 3: 23

Option 4: 21

Team Careers360 12th Jan, 2024

Correct Answer: 23


Solution : Given:
17, 18, 20, ?, 27, 32

In the given series, add consecutive natural numbers to the previous number to get the next number –
17 + 1 = 18; 18 + 2 = 20; 20 + 3 = 23; 23 + 4 = 27;

17 Views

Question : Chile saltpetre is the common name of

Option 1: Sodium Nitrate

Option 2: Potassium Nitrite

Option 3: Potassium Nitrate

Option 4: Sodium Nitrite

Team Careers360 23rd Jan, 2024

Correct Answer: Sodium Nitrate


Solution : The correct option is Sodium Nitrate.

Chile saltpetre is the common name for Sodium Nitrate, a naturally occurring mineral form of nitrate. It is also known by its chemical formula NaNO₃. Chile's saltpetre historically gained significance as a valuable source of nitrate, an

10 Views

Question : Which among the following states hosted the 9th World Ayurveda Congress & Arogya Expo in December 2022?

Option 1: West Bengal

Option 2: Goa

Option 3: Maharashtra

Option 4: Rajasthan

Team Careers360 12th Jan, 2024

Correct Answer: Goa


Solution : The correct option is Goa.

The 9th World Ayurveda Congress and Arogya Expo 2022 was organised in Goa to provide a global platform for all stakeholders, including industry leaders, practitioners, traditional healers, educators, students, and medicine manufacturers. The market size of the AYUSH (Ayurveda, Yoga

18 Views

Question : Directions: In the following question, select the one that is different from the other three alternatives.

Option 1: D

Option 2: G

Option 3: H

Option 4: J

Team Careers360 21st Jan, 2024

Correct Answer: G


Solution : Let's check the options –
First option: D; D→4 (Even)
Second option: G; G→7 (Odd)
Third option: H; H→8 (Even)
Fourth option: J; J→10 (Even)

So, the second option is different from the other three options as the positional value of G is an odd

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Question : A cloth merchant sells 33 metres of cloth and realizes a profit equal to the selling price of 11 metres of cloth. Determine the profit percentage.

Option 1: 40%

Option 2: 22%

Option 3: 50%

Option 4: 11%

Team Careers360 13th Jan, 2024

Correct Answer: 50%


Solution : Given: On selling 33 metres of cloth, obtained profit = the selling price of 11 metres of cloth
Let the selling price of one-metre cloth be $a$.
Profit = $11a$
Selling price (SP) = $33a$
Cost price (CP) = SP – Profit = $33a-11a$ =

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