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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The successive discounts of 15% and 20% are equivalent to a single discount of:

Option 1: 25%

Option 2: 28%

Option 3: 32%

Option 4: 35%

Team Careers360 25th Jan, 2024

Correct Answer: 32%


Solution : Single equivalent discount $=(a+b-\frac{a×b}{100})$%, where $a=15\%$ and $b=20$% are successive discounts.
$\therefore$ Single equivalent discount $=15+20-\frac{15×20}{100}=35-\frac{300}{100}=32$%
Hence, the correct answer is 32%.

14 Views

Question : If $xy=48$ and $x^2+y^2=100$, then $(x+y)$ is:

Option 1: 12

Option 2: 16

Option 3: 18

Option 4: 14

Team Careers360 24th Jan, 2024

Correct Answer: 14


Solution : Given: $xy = 48$ and $x^{2}+y^{2} = 100$
We know the algebraic identity, $(x+y)^{2} = x^{2}+y^{2}+2xy$
By substituting the values in the above equation, we get:
$⇒(x+y)^{2} = 100+2×48$
$⇒(x+y) = \sqrt{196}$
$\therefore (x+y) = 14$
Hence, the correct answer is 14.

11 Views

Question : Directions: In 5 years, Rs. 5000 amounts to Rs.9000. In what time at the same rate will Rs.600 amount to Rs.900?

Option 1: 5 years

Option 2: 3 years

Option 3: 6 years

Option 4: 2 years

Team Careers360 23rd Jan, 2024

Correct Answer: 3 years


Solution : Given:
In 5 years, Rs.5000 amounts to Rs.9000.

We have,
Principal = 5000
Time = 5 yrs
Amount = 9000
Rate = ?
We know that, 
Amount (A) = P + {(P × R × T)/100}
⇒ 9000 = 5000 + {(5000 × R

123 Views

Question : Select the most appropriate option that can substitute the underlined words in the following sentence.

The people who live here have had the same kind of lifestyle until hundreds of years.

Option 1: through hundreds of year

Option 2: for hundreds of years

Option 3: although hundreds of years

Option 4: since hundreds of year

Team Careers360 23rd Jan, 2024

Correct Answer: for hundreds of years


Solution : The correct choice is the second option.

This option correctly indicates the duration of time that the people have had the same lifestyle for hundreds of years denotes the length of time over which the lifestyle has remained unchanged.

The correct sentence

73 Views

Question : At how much percent above the cost price should a trader mark his goods so that after allowing a discount of 25%, he still gains 5%?

Option 1: 35

Option 2: 32

Option 3: 50

Option 4: 40

Team Careers360 24th Jan, 2024

Correct Answer: 40


Solution : Let the cost price be Rs. $100$.
So, the selling price is $100 + 5$ = Rs. $105$
Discount is $25$%.
Let, the marked price be $x$.
So, the selling price after the discount is $\frac{75}{100}×x=\frac{3x}{4}$
According to the question,
$\frac{3x}{4} = 105$
$\therefore x

14 Views

Question : If $\frac{x^2+1}{x}=5$, then find the value of $x^4+\frac{1}{x^4}-36$.

Option 1: 491

Option 2: 149

Option 3: 419

Option 4: 194

Team Careers360 23rd Jan, 2024

Correct Answer: 491


Solution : $\frac{x^2+1}{x}=5$
⇒ $x+\frac{1}{x}=5$
Squaring both sides, we get,
⇒ $x^2+\frac{1}{x^2}+2=25$ 
⇒ $x^2+\frac{1}{x^2}=23$
Squaring both sides, we get,
⇒ $x^4+\frac{1}{x^4}+2=529$
Subtracting 38 from both sides.
⇒ $x^4+\frac{1}{x^4}-36 =491$
Hence, the correct answer is 491.

20 Views

Question : AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. If the distance between them is 2 cm, then the radius (in cm) of the circle is:

Option 1: $\frac{\sqrt{265}}{4}$

Option 2: $\frac{\sqrt{256}}{4}$

Option 3: $\frac{\sqrt{156}}{4}$

Option 4: $\frac{\sqrt{198}}{4}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{\sqrt{265}}{4}$


Solution :
Given, AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle.
Let OM be perpendicular to AB and ON be perpendicular to CD.
Perpendicular from the centre to a chord bisects the

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