Staff Selection Commission Combined Higher Secondary Level Exam
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?
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
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: $\sqrt{43}$
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 $\sqrt{29}$.
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
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 +
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
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
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%
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 =
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
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;
Question : Chile saltpetre is the common name of
Option 1: Sodium Nitrate
Option 2: Potassium Nitrite
Option 3: Potassium Nitrate
Option 4: Sodium Nitrite
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
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
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
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
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
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 2: 22%
Option 3: 50%
Option 4: 11%
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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