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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: In the following question, select the missing number from the given series.
5103, 1701, 567, ?, 63, 21

Option 1: 265

Option 2: 169

Option 3: 189

Option 4: 170

Team Careers360 21st Jan, 2024

Correct Answer: 189


Solution : Given:
5103, 1701, 567, ?, 63, 21

Divide each term by 3 to get the next term in the series.
5103 ÷ 3 = 1701; 1701 ÷ 3 = 567; 567 ÷ 3 = 189; 189 ÷ 3 = 63; 63 ÷ 3 = 21

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Question : In which month of 2021 did the All India Survey on Migrant Workers, under the overall guidance of an expert group, come into effect?

Option 1: August

Option 2: June

Option 3: February

Option 4: April

Team Careers360 23rd Jan, 2024

Correct Answer: April


Solution : The correct answer is April.

With effect from April 1, 2021, the Labour Bureau has begun conducting the All India Survey on Migrant Workers, with the goals as follows: to figure out the number of domestic and international migrant workers within the country, collect

29 Views

Question : What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?

Option 1: 25

Option 2: 5

Option 3: 2

Option 4: 3

Team Careers360 25th Jan, 2024

Correct Answer: 5


Solution : We know, a perfect cube has multiples of 3 as powers of prime factors.
So, 625 = 54
Hence, 625 can be made a perfect cube by dividing it by 5.
After dividing 625 by 5 we get 125 = 53
Hence, the

10 Views

Question : The Queen who had the nickname "Bloody Mary"?

Option 1: Elizabeth

Option 2: Victoria

Option 3: Mary I

Option 4: Ruth

Team Careers360 21st Jan, 2024

Correct Answer: Mary I


Solution : The answer is Mary I.

Queen Mary I was the Queen of England who ruled by her rights but was known by the name "Bloody Mary" because she pursued Protestant heretics, leading to their execution by burning at the stake in large numbers.

24 Views

Question : In the given figure, $PQRS$ is a quadrilateral. If $QR = 18$ cm and $PS = 9$ cm, then, what is the area (in cm2) of quadrilateral $PQRS$?

Option 1: $\frac{(64\sqrt{3})}{3}$

Option 2: $\frac{(177\sqrt{3})}{2}$

Option 3: $\frac{(135\sqrt{3})}{2}$

Option 4: $\frac{(98\sqrt{3})}{3}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{(135\sqrt{3})}{2}$


Solution :

Given: $PQRS$ is a quadrilateral, $QR = 18$ cm and $PS = 9$ cm.
Construction: Extend the lines $QP$ and $RS$ as they meet at $T$ and form $\triangle QRT$ an equilateral triangle.
Take the angles as shown in the figure.
The area of an

14 Views

Question : If $m+\frac{1}{m-2}=4$, then find the value of $(m-2)^2+\frac{1}{(m-2)^2}$.

Option 1: – 2

Option 2: 4

Option 3: 0

Option 4: 2

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given, $m+\frac{1}{m-2}=4$
⇒ $(m-2)+\frac{1}{m-2}=2$
Squaring both sides, we get:
$(m-2)^2+\frac{1}{(m-2)^2}+2(m-2)(\frac{1}{m-2})=4$
⇒ $(m-2)^2+\frac{1}{(m-2)^2}+2=4$
$\therefore(m-2)^2+\frac{1}{(m-2)^2}=2$
Hence, the correct answer is 2.

90 Views

Question : Dhondo Keshav Karve was an eminent Indian who championed the cause of _____________.

Option 1: allowing child marriages

Option 2: prohibiting widow remarriages

Option 3: strengthening the caste norms

Option 4: spread of women education

Team Careers360 22nd Jan, 2024

Correct Answer: spread of women education


Solution : The correct option is the spread of women's education.

Dhondo Keshav Karve was an eminent Indian who championed the cause of women's education and social reform. He is best known for his efforts to promote women's rights and improve the status

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