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Staff Selection Commission Combined Graduate Level Exam

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Question : $O$ is the circumcentre of the isosceles $\triangle ABC$. Given that $AB = AC = 5$ cm and $BC = 6$ cm. The radius of the circle is:

Option 1: 3.015 cm

Option 2: 3.205 cm

Option 3: 3.025 cm

Option 4: 3.125 cm

Team Careers360 25th Jan, 2024

Correct Answer: 3.125 cm


Solution :

The circumradius $(R)$ of a triangle,
$ R = \frac{abc}{4K} $
where $a, b$ and $c$ are the sides of the triangle and $K$ is the area of the triangle.
Given that $AB = AC = 5$ cm ($a = b = 5$ cm)

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Question : Which company manufactures the A-380 aircraft ?

Option 1: Air Bus industries

Option 2: Lockheed Martin

Option 3: Raytheon

Option 4: Macdonald Douglas

Team Careers360 25th Jan, 2024

Correct Answer: Air Bus industries


Solution : The correct option is - Air Bus industries.

Large wide-body airliner developed and built by Airbus is called the A380.

It is the only full-length double-deck jet airliner in the world and the biggest passenger aircraft.
On January 18, 2005, the first prototype

14 Views

Question : Which one of the following is igneous rock ?

Option 1: limestone

Option 2: granite

Option 3: marble

Option 4: slate

Team Careers360 25th Jan, 2024

Correct Answer: granite


Solution : The correct answer is granite.

Based on its formation, rocks are classified into three types- Sedimentary, Igneous and Metamorphic rocks. Sedimentary rocks are formed by deposition of various layer over a long period of time, igneous rocks are of volcanic origin and metamorphic rocks are

38 Views

Question : A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30% and 50%, respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30%, and 20%, respectively. Find the total amount received from both sums of money, by B.

Option 1: INR 58,000

Option 2: INR 60,000

Option 3: INR 55,000

Option 4: INR 63,000

Team Careers360 25th Jan, 2024

Correct Answer: INR 63,000


Solution : Given: A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30%, and 50%, respectively.
A receive the amount = $\frac{20}{100}\times 150000=$ INR 30,000.
B receive the amount = $\frac{30}{100}\times 150000=$ INR 45,000.

17 Views

Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select a different one.

Option 1: EIJN

Option 2: DHIM

Option 3: BDFH

Option 4: CGHL

Team Careers360 25th Jan, 2024

Correct Answer: BDFH


Solution : Let's check the options –
First option: EIJN; E + 4 = I; I + 1 = J; J + 4 = N
Second option: DHIM; D + 4 = H; H + 1 = I; I + 4 = M
Third option: BDFH; B

26 Views

Question : Which of the following numbers is divisible by 99?

Option 1: 31548

Option 2: 60687

Option 3: 44775

Option 4: 84456

Team Careers360 25th Jan, 2024

Correct Answer: 60687


Solution : If a number is divisible by 99, then it must be divisible by 11 and 9, because 99 = 11 × 9
To check the divisibility by 11 we have to check the difference of the sum of odd place digits and the sum of

16 Views

Question : If $(2+\sqrt{3})a=(2-\sqrt{3})b=1$, then the value of $\frac{1}{a}+\frac{1}{b}$ is:

Option 1: $1$

Option 2: $2$

Option 3: $2\sqrt{3}$

Option 4: $4$

Team Careers360 25th Jan, 2024

Correct Answer: $4$


Solution : $(2+\sqrt{3})a=(2-\sqrt{3})b=1$
$(2+\sqrt{3})a=1$
$⇒ a = \frac{1}{2+\sqrt{3}}$
$⇒ \frac{1}{a} = 2-\sqrt{3}$
Again, $(2-\sqrt{3})b=1$
$⇒ b = \frac{1}{2-\sqrt{3}}$
$⇒ \frac{1}{b} = 2+\sqrt{3}$
$\frac{1}{a} + \frac{1}{b}=2-\sqrt{3}+2+\sqrt{3}$
$\frac{1}{a} + \frac{1}{b}=4$
Hence, the correct answer is $4$.

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