Staff Selection Commission Combined Higher Secondary Level Exam
Question : A truck covers three equal distances of 100 km at the speeds of 200 km/hr, 300 km/hr, and 600 km/hr. Find the average speed of the truck for the whole journey.
Option 1: 250 km/h
Option 2: 300 km/h
Option 3: 366.66 km/h
Option 4: 327 km/h
Correct Answer: 300 km/h
Solution : For the first distance of 100 km at a speed of 200 km/hr: Time taken = $\frac{100}{200}$ = $\frac{1}{2}$ hr For the second distance of 100 km at a speed of 300 km/hr: Time taken = $\frac{100}{300}$ = $\frac{1}{3}$ hr For the third distance
Question : The line chart given below shows the production of bikes and trucks by five companies L, M, N, O, and P. Which of the following statements is correct? I. The ratio of the production of bikes to the production of trucks by company M is 7 : 4. II. The difference between the average production of bikes and trucks by all companies is 10.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Both I and II
Solution : Production of the bike by company M = 350 Production of the truck by company M = 200 I. The ratio of the production of bikes to the production of trucks by company M is 7 : 4. Statement I is correct.
Question : In India, what is the total length of the coastline of the mainland, including Andaman, Nicobar, and Lakshadweep?
Option 1: 8,514.4 km
Option 2: 7,818.7 Km
Option 3: 7,516.6 Km
Option 4: 8,123.1 Km
Correct Answer: 7,516.6 Km
Solution : The correct option is 7,516.6 Km.
The total length of the coastline of India, including the mainland, Andaman and Nicobar Islands, and Lakshadweep Islands, is approximately 7,516.6 kilometres.
Andaman and Nicobar Islands are located in the southeastern part of the Bay of Bengal. The
Question : The first-ever terrestrial plants to possess vascular tissues were:
Option 1: Pteridophytes
Option 2: Lichens
Option 3: Bryophyta
Option 4: Algae
Correct Answer: Pteridophytes
Solution : The correct option is Pteridophytes.
Pteridophytes are a well-developed plant group that possesses a well-developed vascular system. Vascular tissues, such as the xylem and phloem, play a crucial role in transporting water, nutrients, and sugars within a plant.
Question : In a 120-metre race, P beats S by 6 metres. If S starts with ahead start of 7.5 metres and it is a 100-metre race, then who wins the race and how many metres? (Correct to 2 decimal places)
Option 1: S, 2.63
Option 2: P, 3.63
Option 3: S, 3.63
Option 4: P, 2.63
Correct Answer: P, 2.63
Solution : Given, In a 120-metre race, P beats S by 6 metres S starts with ahead start of 7.5 metres and it is a 100-metre race If S runs 114 metres, then P runs 120 metres When S runs 92.5 metres, then P runs =
Question : While ascending a hill, the driver of the vehicle keeps the gear ratio:
Option 1: Equal to 1
Option 2: Less than 1
Option 3: Greater than 1
Option 4: Either equal to or greater than 1
Correct Answer: Either equal to or greater than 1
Solution : The correct option is Either equal to or greater than 1.
When climbing a hill, the driver should keep the gear ratio equal to or greater than 1 to sustain speed or climb the slope successfully. A gear
Question : Directions: In the following question, select the missing number from the given responses. If (7 × 8 )/9 = 3; (8 × 9)/144 = 12; (10 × 11)/169 = 13; then (12 × 13)/441 = ?
Option 1: 196
Option 2: 225
Option 3: 144
Option 4: 21
Correct Answer: 21
Solution : Here, in each equation, the number in the denominator of L.H.S. is the square of the number in R.H.S. Like, (7 × 8)/9 = 3→√9 = 3 (8 × 9)/144 = 12→√144 = 12 (10 × 11)/169 = 13→√169 = 13 Similarly, for (12 ×
Question : A semi-enclosed coastal body of water having a free connection with the open sea is called.
Option 1: Estuary
Option 2: Fjord
Option 3: Cove
Option 4: Ria coast
Correct Answer: Estuary
Solution : The correct option is Estuary.
A semi-enclosed coastal body of water known as an estuary has free access to the open sea, where freshwater from land drainage significantly dilutes seawater. The largest estuary on the Indian coast, covering the Sundarbans Gangetic Delta, the largest
Question : The given sentence is in active voice. Change the voice of the sentence. Select the correct option from the sentences given in options.
She persuaded him for over a year.
Option 1: He was being persuaded by her for a year.
Option 2: He kept being persuaded by her for a year.
Option 3: He was persuaded by her for over a year.
Option 4: She was being persuaded by him for over a year.
Correct Answer: He was persuaded by her for over a year.
Solution : The third option is the correct answer.
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 voice becomes the subject
Question : If $\sin \theta = \frac{3}{11}$, then what is the value of $\cot \theta$?
Option 1: $\frac{3 \sqrt{7}}{11}$
Option 2: $\frac{4 \sqrt{7}}{11}$
Option 3: $\frac{4 \sqrt{7}}{3}$
Option 4: $\frac{3 \sqrt{7}}{28}$
Correct Answer: $\frac{4 \sqrt{7}}{3}$
Solution : Given, $\sin \theta=\frac{3}{11}$ We know, $\sin\theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}}$ Using Pythagoras theorem, we get, $\small (\text{Hypotenuse})^2 = (\text{Base})^2 + (\text{Perpendicular})^2$ Let base = $b$ ⇒ $11^2 = b^2 + 3^2$ ⇒ $b^2 = 121 - 9$ ⇒ $b = \sqrt{112} = 4\sqrt7$ ⇒ $\cot\theta =
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