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Staff Selection Commission Combined Graduate Level Exam

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Question : If the areas of two isosceles triangles with equal corresponding angles are in the ratio of $x^2:y^2$, then the ratio of their corresponding heights is:

Option 1: $x: y$

Option 2: $\sqrt{x}: \sqrt{y}$

Option 3: $x^3: y^3$

Option 4: $x^2: y^2$

Team Careers360 10th Jan, 2024

Correct Answer: $x: y$


Solution : The area of a triangle is directly proportional to the square of its height.
Given,
Ratio of areas = $x^2 : y^2$
$\therefore$ The ratio of their heights = $x:y$
Hence, the correct answer is $x:y$.

17 Views

Question : Directions: Anand is the son of Prema. Rajeev is the brother of Prema. Neha is the daughter of Rashmi. Neha is the sister of Rajeev. How is Anand related to Rashmi?

Option 1: Son

Option 2: Grandson

Option 3: Grandfather

Option 4: Granddaughter

Team Careers360 16th Jan, 2024

Correct Answer: Grandson


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, Anand is the grandson of Rashmi. Hence, the second option

11 Views

Question : Under whom was the Ilbert bill passed?

Option 1: Lord Lytton

Option 2: Lord Cornwallis

Option 3: Lord Ripon

Option 4: Lord Curzon

Team Careers360 8th Jan, 2024

Correct Answer: Lord Ripon


Solution : The correct option is Lord Ripon.

The Ilbert Bill, a piece of legislation that was proposed in 1883 while the Marquess of Ripon served as Viceroy, was written by Sir Courtenay Peregrine Ilbert. The bill advocated removing the restrictions on these officials and

16 Views

Question : Calculate the HCF of $\frac{12}{5},\frac{14}{15},$ and $\frac{16}{17}$.

Option 1: $\frac{4}{255}$

Option 2: $\frac{3}{255}$

Option 3: $\frac{2}{255}$

Option 4: $\frac{1}{255}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{2}{255}$


Solution : The LCM of 5, 15, and 17 = 255
The HCF of 12, 14, and 16 = 2
$\therefore$ The HCF of $\frac{12}{5},\frac{14}{15},$ and $\frac{16}{17}=\frac{2}{255}$
Hence, the correct answer is $\frac{2}{255}$.

19 Views

Question : Apatanis are the major tribal group of

Option 1: Jharkhand

Option 2: Nagaland

Option 3: Sikkim

Option 4: Arunachal Pradesh

Team Careers360 7th Jan, 2024

Correct Answer: Arunachal Pradesh


Solution : The correct answer is Arunachal Pradesh.

The Apatani are the largest tribal community in the Ziro Valley in Arunachal Pradesh, India. Arunachal Pradesh is an Indian state in northeastern India recognised for its ethnic and ethnic diversity, with various indigenous tribes living there.

22 Views

Question : The greatest perfect square number of six digits is:

Option 1: 999001

Option 2: 998001

Option 3: 998009

Option 4: 998101

Team Careers360 14th Jan, 2024

Correct Answer: 998001


Solution : Greatest six-digit number = 999999
But 999999 is not a perfect square.
If we add 1 to 999999 = (1 + 999999) = 1000000
$1000000= (1000)^{2}$
1000000 is a perfect square of 1000, but it has seven digits.
So, $(1000-1)^{2} = (999)^{2} = 998001$
So,

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