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Staff Selection Commission Combined Graduate Level Exam

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Question : Simplify $\sqrt{36 x^2-108 x+81}$.

Option 1: $6x-9$

Option 2: $2x-9$

Option 3: $5x-9$

Option 4: $3x-3$

Team Careers360 17th Jan, 2024

Correct Answer: $6x-9$


Solution : $\sqrt{36 x^2-108 x+81}$
= $\sqrt{(6 x)^2-2×6x×9+9^2}$
= $\sqrt{(6 x-9)^2}$
= $6x-9$
Hence, the correct answer is $6x-9$.

13 Views

Question : The motion of the body moving along a circular path is an example of_____________.

Option 1: decelerated motion

Option 2: accelerated motion

Option 3: non-uniform motion

Option 4: uniform motion

Team Careers360 17th Jan, 2024

Correct Answer: accelerated motion


Solution : The correct option is accelerated motion.

The motion of a body moving along a circular path is an example of accelerated motion. This is because the velocity of the body is constantly changing in both magnitude and direction as it moves around the

25 Views

Question : Direction: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

a_ _ dba _ _ bcad _ _ da _ _cd

Option 1: aabbccdd

Option 2: bccdbcab

Option 3: abcddcba

Option 4: cbcddcba

Team Careers360 18th Jan, 2024

Correct Answer: bccdbcab


Solution : Given -

a_ _ dba _ _ bcad _ _ da _ _cd

Let's check the options.

option first: aabbccdd

The series becomes aaadbabbbcadccdaddcd

There is no pattern in the above series.

option second: bccdbcab

The series

11 Views

Question : ______ was launched by Prime Minister Narendra Modi as a part of the Beti Bachao Beti Padhao campaign.

Option 1: Sukanya Samriddhi Account

Option 2: Bal Swachhta Mission

Option 3: Pradhan Mantri Jan Dhan Yojana

Option 4: Beti Bachao Beti Padhao Yojana

Team Careers360 17th Jan, 2024

Correct Answer: Sukanya Samriddhi Account


Solution : The correct answer is the Sukanya Samridhi Account.

Sukanya Samriddhi Account is a government-backed savings scheme designed to encourage parents to save for their girl child's future education and marriage. The Beti Bachao Beti Padhao initiative was spearheaded by Prime Minister Narendra Modi

15 Views

Question : Select the misspelt word.

Option 1: partner

Option 2: approach

Option 3: florish

Option 4: slander

Team Careers360 9th Jan, 2024

Correct Answer: florish


Solution : The correct choice is the third option.

The incorrectly spelt word is "florish", which lacks the vowel "u". The correct spelling of the word is flourish, which means to thrive or prosper; to achieve success, growth, or prosperity in a healthy and vigorous manner.

Other

144 Views

Question : The least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5, and 7 is:

Option 1: 84

Option 2: 420

Option 3: 240

Option 4: 180

Team Careers360 14th Jan, 2024

Correct Answer: 240


Solution : LCM of 3, 4, 5, and 7 is 420.
For a number to be divisible by 2, 4, 5, and 7, the number should be divisible by 420.
Now, on dividing 35460 by 420, we get 180 as the remainder.
So, the required number should

20 Views

Question :

Pulses are obtained from the family:

Option 1:

Liliaceae

Option 2:

Leguminosae

 

Option 3: Cycadaceae

 

Option 4: Fungi

Team Careers360 17th Jan, 2024

Correct Answer:

Leguminosae

 


Solution : The correct option is Leguminosae.

Pulses are derived from the family Leguminosae, generally known as the Fabaceae or legume family. Pulses are edible seeds derived from leguminous plants that are high in protein and other minerals. Lentils, chickpeas, beans, and peas are examples of pulses.

157 Views

Question : If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

Option 1: 70.65%

Option 2: 79.56%

Option 3: 68.25%

Option 4: 75.15%

Team Careers360 25th Jan, 2024

Correct Answer: 79.56%


Solution : Let the side of the equilateral triangle be $a$.
Area of an equilateral triangle with side $a = (\frac{\sqrt{3}}{4})a^{2}$
Side increased by 34%
So, new side $= a\times(\frac{134}{100})$
$= \frac{67a}{50}$
Area of an equilateral triangle with a new side
$=(\frac{\sqrt{3}}{4})(\frac{67a}{50})^{2}$
$= \frac{4489\sqrt{3}a^{2}}{10000}$
Change in area

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