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Staff Selection Commission Combined Graduate Level Exam

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Question : At what rate percent per annum will a sum of INR 15, 625 amount to INR 21, 952 in three years, if the interest is compounded annually?

Option 1: 12%

Option 2: 8%

Option 3: 9%

Option 4: 10%

Team Careers360 22nd Jan, 2024

Correct Answer: 12%


Solution : Principal (P) = INR 15, 625
Time (T) = 3 years
Amount (A) = INR 21, 952
Amount = $P(1 + \frac{R}{100})^T$
Let the rate of interest per annum be $R$.
21952 = 15625$(1 + \frac{R}{100})^3$
⇒ $\frac{21952}{15625} = (1 + \frac{R}{100})^3$
⇒ $\sqrt[3]{(\frac{21952}{15625})} =

310 Views

Question : A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?

Option 1: 225 m

Option 2: 250 m

Option 3: 300 m

Option 4: 200 m

Team Careers360 21st Jan, 2024

Correct Answer: 250 m


Solution : Given: Distance between the policeman and the thief = 300 m
Speed of the policeman = 9 km//h = $9×\frac{5}{18}=\frac{5}{2}$ m/s
Speed of the thief = 8 km//h = $8×\frac{5}{18}=\frac{20}{9}$ m/s
Relative speed of the policeman and the thief = 9 – 8 =

5 Views

Question : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}=$?

Option 1: $\operatorname{cosec}\theta$

Option 2: $\sec\theta$

Option 3: $2\cos\theta$

Option 4: $2\sec\theta$

Team Careers360 22nd Jan, 2024

Correct Answer: $2\sec\theta$


Solution : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$
$=\frac{1-\cos ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$
$=\frac{(1-\cos \theta)(1+\cos \theta)}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$
$=\frac{1-\cos  \theta}{\cos \theta}+\frac{1+\cos \theta}{\cos \theta}$
$=\frac{1-\cos  \theta+1+\cos \theta}{\cos \theta}$
$=\frac{2}{\cos \theta}$
$=2\sec\theta$
Hence, the correct answer is $2\sec\theta$.

12 Views

Question : If a + b = 5 and a – b = 3, then the value of (a2 + b2) is:

Option 1: 17

Option 2: 18

Option 3: 19

Option 4: 20

Team Careers360 14th Jan, 2024

Correct Answer: 17


Solution : Given:
a + b = 5 -----------------------(i)
a – b = 3 ----------------------(ii)
Add both equations (i) and (ii),
⇒ a + b + a – b =  5 + 3
⇒ 2a = 8
⇒ a = 4
From equation (i),
⇒ 4 +

8 Views

Question : If, after giving a discount of 18%, a book is sold for Rs. 1,599, what will be the marked price (in Rs.) of the book?

Option 1: 1,800

Option 2: 1,880

Option 3: 1,950

Option 4: 2,000

Team Careers360 16th Jan, 2024

Correct Answer: 1,950


Solution : Given: After giving a discount of 18%, a book is sold for Rs. 1,599.
Let the Marked Price be 100 units.
So, after an 18% discount the Selling Price = (100 – 18) = 82 units
Here, 82 units are equivalent to Rs. 1,599.
So,

16 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th 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, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

16 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

Virginia Woolf's novels continue to receive rave ______.

Option 1: purviews

Option 2: feedback

Option 3: reviews

Option 4: previews

Team Careers360 18th Jan, 2024

Correct Answer: reviews


Solution : The correct choice is the third option.

Explanation: "Rave reviews" is a common phrase used to describe highly positive and enthusiastic assessments or critiques of something, in this case, Virginia Woolf's novels.

The meanings of the other options are as follows:

Purviews: It refers to

29 Views

Question : Select the most appropriate meaning of the given idiom.
Red tape

Option 1: Catch someone at the moment they are doing something wrong.

Option 2: Official rules and bureaucracy that make it difficult to do something.

Option 3: Have a negative amount in your bank balance.

Option 4: Something unimportant that takes attention away from the main subject.

Team Careers360 16th Jan, 2024

Correct Answer: Official rules and bureaucracy that make it difficult to do something.


Solution : The second option is the correct answer.

The idiom, red tape refers to excessive bureaucratic procedures or formalities that can impede or delay progress, especially in official or administrative processes. The idiom red tape originated

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