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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, if the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image will appear as

14 Views

Question : Why is the South Pole colder than the North Pole?

Option 1: High altitude

Option 2: More rainfall

Option 3: Strong winds

Option 4: Away from the sun

Team Careers360 21st Jan, 2024

Correct Answer: High altitude


Solution : The correct option is High altitude.

The South Pole, situated in the elevated Antarctic Continent at 2,500m, is colder due to the temperature decreasing with altitude. Conversely, the North Pole in the Arctic region has a thinner ice layer, allowing warmer currents to pass

12 Views

Question : The difference between simple interest and the true discount on Rs. 2400 due 4 years hence at 5% per annum simple interest is:

Option 1: Rs. 30

Option 2: Rs. 70

Option 3: Rs. 80

Option 4: Rs. 50

Team Careers360 8th Jan, 2024

Correct Answer: Rs. 80


Solution : Given:
A = Rs. 2400
R = 5%
T = 4 years
$\therefore$ True Discount = $\frac{A\times R\times T}{100+R\times T}=\frac{2400\times 4\times 5}{100+20}$ = Rs. 400
$\therefore$ Simple interest − True discount $=\frac{\text{True discount}\times R\times T}{100}=\frac{400\times 5\times 4}{100}=$ Rs. 80
Hence, the correct answer is

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Question : Directions: Select the number from among the given options that can replace the (?) in the following series.
0, 5, 12, 21, ?, 45, 60

Option 1: 35

Option 2: 32

Option 3: 34

Option 4: 30

Team Careers360 20th Jan, 2024

Correct Answer: 32


Solution : Given:
0, 5, 12, 21, ?, 45, 60

Add the consecutive odd numbers (starting from 5) to the previous number to get the next number –
0 + 5 = 5; 5 + 7 = 12; 12 + 9 = 21; 21 + 11 =

18 Views

Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?

Option 1: $18 \frac{7}{13}$ days

Option 2: $17 \frac{11}{13}$ days

Option 3: $16 \frac{1}{14}$ days

Option 4: $13 \frac{3}{14}$ days

Team Careers360 23rd Jan, 2024

Correct Answer: $16 \frac{1}{14}$ days


Solution : One hour work by 30 women = $\frac{1}{(18 × 5)}$
⇒ One hour work by 30 women = $\frac{1}{90}$
⇒ One hour work by 1 woman = $\frac{1}{90 × 30}$
⇒ One hour work by 1 woman = $\frac{1}{2700}$
⇒ One hour work

11 Views

Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
Y, T, P, ?, K

Option 1: M

Option 2: L

Option 3: O

Option 4: N

Team Careers360 14th Jan, 2024

Correct Answer: M


Solution : Given:
Y, T, P, ?, K

In the given series, subtract the decreasing order of the number, starting from 5 to obtain the next term of the series.
Y – 5 = T; T – 4 = P; P – 3 = M; M –

12 Views

Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

A. We must not complain
B. thorns bear flowers
C. but rather be grateful that
D. that roses have thorns

Option 1: ADCB

Option 2: ADBC

Option 3: ACDB

Option 4: ABCD

Team Careers360 14th Jan, 2024

Correct Answer: ADCB


Solution : The correct choice is the first option.

Check for the subject, verb, and object and arrange them in a sentence.

Therefore, the sentence in the correct order is: We must not complain that roses have thorns but rather be grateful that thorns bear flowers.

36 Views

Question : If $2 x+\frac{2}{x}=5$, then the value of $\left(x^3+\frac{1}{x^3}+2\right)$ will be:

Option 1: $\frac{81}{11}$

Option 2: $\frac{81}{7}$

Option 3: $\frac{71}{8}$

Option 4: $\frac{81}{8}$

Team Careers360 12th Jan, 2024

Correct Answer: $\frac{81}{8}$


Solution : $2 x+\frac{2}{x}=5$
$⇒2(x+\frac{1}{x})=5$
$⇒(x+\frac{1}{x})=\frac{5}{2}$
Cubing both sides we get,
$⇒x^3+\frac{1}{x^3}+3\times x \times \frac{1}{x}(x+\frac{1}{x})=\frac{125}{8}$
$⇒x^3+\frac{1}{x^3}+3(\frac{5}{2})=\frac{125}{8}$
$⇒x^3+\frac{1}{x^3} = \frac{125}{8} - \frac{15}{2}$
$⇒x^3+\frac{1}{x^3} = \frac{125-60}{8}$
$⇒x^3+\frac{1}{x^3} = \frac{65}{8}$
Adding 2 on both sides, we get
$⇒x^3+\frac{1}{x^3}+2=\frac{65}{8}+2$
$⇒x^3+\frac{1}{x^3}+2=\frac{65+16}{8}$
$⇒x^3+\frac{1}{x^3}+2=\frac{81}{8}$
Hence, the correct answer is $\frac{81}{8}$.

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