Staff Selection Commission Combined Higher Secondary Level Exam
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:
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
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
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
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
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
Question : The line chart given below shows the sales of two companies J and K in 5 years. P1 = The difference between the average sales of J in years D and E and the average sales of K in years G and H. P2 = The value of average sales of K in all years. What is the value of (P2 – P1)?
Option 1: 520
Option 2: 760
Option 3: 670
Option 4: 610
Correct Answer: 610
Solution : Average sales of J in years D and E = $\frac{(400 + 600)}{2} = 500$ Average sales of K in years G and H = $\frac{(400 + 300)}{2} = 350$ P1 = The difference between the average sales of J in years D and E
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
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 =
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
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
Question : Directions: In the following question, a sentence has been given in direct or indirect speech. Out of the four alternatives suggested, select the one that best expresses the same sentence in passive voice.
My father decorated the entire house.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the passive voice.
The structure of
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
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 –
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
Correct Answer: ADCB
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.
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: $\frac{81}{8}$
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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