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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 23rd Jan, 2024

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 :

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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

Team Careers360 24th Jan, 2024

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.

245 Views

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%

Team Careers360 25th Jan, 2024

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 = $\frac{800}{21}\approx$

84 Views

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

Team Careers360 24th Jan, 2024

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.

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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

Team Careers360 23rd Jan, 2024

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 =

17 Views

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

Team Careers360 25th Jan, 2024

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,

20 Views

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

Team Careers360 25th Jan, 2024

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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