Staff Selection Commission Combined Higher Secondary Level Exam
Question : A car moves at the speed of 108 km/hr after repairing and moves at the speed of 72 km/hr before repairing. It covers a distance of $x$ km in 3 hours after repair. How long will it take to cover a distance of $5x$ km before repairing?
Option 1: 25 hours 20 minutes
Option 2: 24 hours
Option 3: 20 hours 40 minutes
Option 4: 22 hours 30 minutes
Correct Answer: 22 hours 30 minutes
Solution : Given: Speed after repairing = 108 km/hr Speed before repairing = 72 km/hr Distance covered after repairing = x km Time taken after repairing = 3 hours Distance = Time × Speed Distance covered after repairing = $x$ km ⇒ $x$ =
Question : Find the length of the arc whose central angle is 45° and the radius of the circle is 28 cm.
Option 1: 11 cm
Option 2: 33 cm
Option 3: 44 cm
Option 4: 22 cm
Correct Answer: 22 cm
Solution : Given: Central angle = 45° The radius of the circle = 28 cm Length of the arc = $2\pi r×\frac{\theta}{360°}$, where $r$ = radius of the circle, $\theta$ = central angle = $2×\frac{22}{7}×28×\frac{45°}{360°}$ = $22\ \text{cm}$ Hence, the correct answer is 22 cm.
Question : Which of the following states has the honour of being India's first carbon-free state?
Option 1: Arunachal Pradesh
Option 2: Himachal Pradesh
Option 3: Madhya Pradesh
Option 4: Kerala
Correct Answer: Himachal Pradesh
Solution : The Correct Option is Himachal Pradesh.
The Himachal Pradesh government's "Himachal Grihini Suvidha Scheme" and the Central Government's "Pradhan Mantri Ujjwala Yojana" (PMUY) were both successfully implemented, making Himachal Pradesh the first "smoke-free state" in India.
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. i. Treasure ii. Treadmill iii. Training iv. Translate
Option 1: iii, iv, i, ii
Option 2: iv, i, iii, ii
Option 3: i, iii, ii, iv
Option 4: iii, iv, ii, i
Correct Answer: iii, iv, ii, i
Solution : Given: (i) Treasure (ii) Treadmill (iii) Training (iv) Translate
Step 1: Compare the first letter of each word. Since all the words start with the same letter T, we move on to the next letter. Step 2: Let's move to the
Question : The total surface area of a cylinder whose radius is 6 cm and height is 8 cm is: (Use $\pi=\frac{22}{7}$)
Option 1: 528 cm2
Option 2: 575 cm2
Option 3: 658 cm2
Option 4: 625 cm2
Correct Answer: 528 cm2
Solution : Given, the radius of the cylinder, $r$ = 6, height, $h$ = 8 The total surface of the cylinder $= 2\pi r(r+h)$ $=2\times \frac{22}{7}\times 6(6+8)$ $=2\times \frac{22}{7}\times 6\times 14$ $=2\times 22\times6\times 2$ $=528$ cm2 Hence, the correct answer is 528 cm2
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. In case no improvement is needed, select 'No Improvement'.
Nonetheless, (many an old poets, such as Tennyson and Browning, has) kept their romances to the end.
Option 1: many old poets, such as Tennyson and Browning, have
Option 2: many old poets, such Tennyson and Browning, has
Option 3: No Improvement
Option 4: many a old poets, such Tennyson and Browning, has
Correct Answer: many old poets, such as Tennyson and Browning, have
Solution : The correct choice is the first option.
Explanation:
The original sentence contains a subject-verb agreement error. The subject should be corrected to many old poets to match with the plural verb have. The first option rectifies
Question : Directions: In the following question, select the missing number from the given series. 59, 118, 354, 708, 2124, ?
Option 1: 4350
Option 2: 4248
Option 3: 4148
Option 4: 4250
Correct Answer: 4248
Solution : Given: 59, 118, 354, 708, 2124, ?
Multiply the previous term by 2 and 3 alternately to obtain the next term. 59 × 2 = 118; 118 × 3 = 354; 354 × 2 = 708; 708 × 3 = 2124; 2124 × 2 =
Question : Choose the correctly spelt word.
Option 1: Temporery
Option 2: Camoflague
Option 3: Pseudonym
Option 4: Tabboo
Correct Answer: Pseudonym
Solution : The third option is correct.
Pseudonym is spelled correctly, and it denotes a name used by somebody, especially a writer, instead of his or her real name.
Question : Directions: A boy and a girl are facing each other. If the boy is facing the northwest direction, in which direction is the girl facing?
Option 1: North
Option 2: South
Option 3: East
Option 4: South-East
Correct Answer: South-East
Solution : As per the given information, the direction of girl and boy will look as follows –
Therefore, if the boy is facing the northwest direction and both are facing each other, then the girl is facing the southeast direction. Hence, the fourth option is correct.
Question : From a cask filled with wine, 75 litres are first drawn and replaced with water. From this mixture, 60 litres are drawn and replaced with water. The ratio of wine to water in the cask is now 3 : 2. How many litres of wine did the cask initially hold?
Option 1: 225
Option 2: 250
Option 3: 375
Option 4: 300
Correct Answer: 300
Solution : Let the cask initially hold $x$ litres of wine. After 75 litres are first drawn and replaced with water, Now, wine = ($x$ – 75) litres and water = 75 litres Ratio of wine and water = $(x–75) : 75$ Again, from this mixture, 60
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