Staff Selection Commission Combined Higher Secondary Level Exam
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
His only (1)_____ was that he had no rifle. While running away from the village below, he had forgotten the rifle in a hurry. An unpardonable (2)_____, but it was now too late to make amends for it. (3)_____ he had the rifle, his pursuers would not have dared follow him with such brazen confidence. He would have hidden behind a rock and waited for them. As they came within his rifle's range, he would have picked them off one by one. But now he could do (4)_____ about it. He was unarmed. But come what may, he must (5)_____ of their rifle's range.
Question
Select the most appropriate option to fill in the blank number 2.
Option 1: lapse
Option 2: yearn
Option 3: reward
Option 4: crime
Correct Answer: lapse
Solution : The correct choice is the first option.
Lapse means a temporary failure, and it helps convey the intended meaning that an unpardonable failure has occurred for which it was too late to make amends.
Question :
Directions: In the following question, select the related word from the given alternatives. Pascal : Pressure :: ? : ?
Option 1: Hectare : Volume
Option 2: Speed : Temperature
Option 3: Joule : Work
Option 4: Time : Seconds
Correct Answer: Joule : Work
Solution : Given: Pascal : Pressure :: ? : ?
Given relation pattern: Unit : Physical Quantity First option: Hectare : Volume; Hectare is not a unit of Volume. Second option: Speed : Temperature; Speed is not a unit of Temperature. Third option: Joule :
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No correction required'.
The mermaid murmured that it had been very difficult for her to live far from human civilisation.
Option 1: it had
Option 2: No correction required
Option 3: this has been
Option 4: this had been
Correct Answer: No correction required
Solution : The second option is the correct choice.
The sentence is structurally and grammatically correct and requires no correction.
Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?
Option 1: 6 : 5
Option 2: 5 : 4
Option 3: 4 : 3
Option 4: 3 : 2
Correct Answer: 3 : 2
Solution : Let the two numbers be $x$ and $y$. Then, $(x - y) = \frac{20}{100}\times(x + y)$ ⇒ $x - y = \frac{1}{5} (x + y)$ ⇒ $4x = 6y$ ⇒ $\frac{x}{y} = \frac{3}{2}$ Hence, the correct answer is 3 : 2.
Question : At a certain annual rate (rounded off to the nearest integer) of simple interest, a sum of money becomes nine times its original value in 21 years. By how much does the rate of interest change if the same sum of money has to become 12 times its original value in 25 years?
Option 1: Decreases by 6%
Option 2: Increases by 6%
Option 3: Increases by 8%
Option 4: Decreases by 8%
Correct Answer: Increases by 6%
Solution : Let the principal be $x$. In 21 years the simple interest is $9x-x=8x$ In 25 years the simple interest is $12x-x=11x$ Case I: Time = 21 years Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ Rate = $\frac{8x×100}{21x}$ ⇒ Rate = $\frac{800}{21}\approx$
Question : Two trains 320 m and 205 m in length are running towards each other on parallel lines. One train runs at the rate of 70 kmph and the other train runs at the rate of 56 kmph. Find the time they will take to cross each other (in seconds).
Option 1: 10
Option 2: 20
Option 3: 12
Option 4: 15
Correct Answer: 15
Solution : Let $s$ be the relative speed of the trains, $d{_1}$ be the length of the first train, and $d{_2}$ be the length of the second train. ⇒ $s=70+56=126\mathrm{\ km/hr}=126\times \frac{5}{18}\mathrm{\ m/s}=35\mathrm{\ m/s}$ Time $=\frac{d{_1}+d{_2}}{s}=\frac{320+205}{35}=\frac{525}{35}=15$ seconds Hence, the correct answer is 15.
Question : A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water $12 \frac{1}{2}\%$ of the resulting mixture?
Option 1: 5 litres
Option 2: 3 litres
Option 3: 2 litres
Option 4: 4 litres
Correct Answer: 2 litres
Solution : Initial quantity of mixture = 70 litres Quantity of water in the initial mixture = 10% of 70 = 7 litres Let $x$ litres water be added. The final quantity of mixture = 70 + $x$ Quantity of water in the final mixture =
Question : Directions: Which one of the following responses would be a meaningful order of the following in ascending order? 1. Atom 2. Matter 3. Molecule 4. Electron
Option 1: 4, 1, 3, 2
Option 2: 3, 1, 4, 2
Option 3: 3, 4, 1, 2
Option 4: 1, 2, 3, 4
Correct Answer: 4, 1, 3, 2
Solution : Given: 1. Atom 2. Matter 3. Molecule 4. Electron
An electron is part of an atom, and when two or more atoms combine, it makes a molecule, and many more molecules when combined make a matter.
So, the order is 4, 1,
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operations(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
Option 1: 6 : 12
Option 2: 10 : 60
Option 3: 8 : 40
Option 4: 7 : 21
Correct Answer: 8 : 40
Solution : Let's check each option – First option: 6 : 12; (6 – 4) × 6 = 2 × 6 = 12 Second option: 10 : 60; (10 – 4) × 10 = 6 × 10 = 60 Third option: 8 : 40; (8
Question : The arc length of a sector of a circle that subtends a $22.5^{\circ}$ angle at the centre is given as $16.5$ cm. What will be the radius (in cm) of the circle? [Use $\pi=\frac{22}{7}$]
Option 1: 35
Option 2: 49
Option 3: 42
Option 4: 48
Correct Answer: 42
Solution : Given: Length of a sector = $16.5$ cm $\theta$ = $22.5^\circ$ We know that, Length of the sector = $\frac{\theta}{360^\circ}×2\pi r$ ⇒ $16.5 = \frac{22.5^\circ}{360^\circ}×2\pi r$ ⇒ $16.5 = \frac{1}{16}×2\pi r$ ⇒ $r = \frac{16×16.5×7}{2×22} = 42$ cm Hence, the correct answer is 42.
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