Staff Selection Commission Combined Graduate Level Exam
Question : Which football player has won the FIFA World player Award (FIFA Ballon d'Or) for four years in a row?
Option 1: Andres Iniesta
Option 2: Christiano Ronaldo
Option 3: Lionel Messi
Option 4: Michel Platini
Correct Answer: Lionel Messi
Solution : The correct answer is Lionel Messi.
Lionel Messi won the FIFA Ballon d'Or award for the fourth time in a row in January 2013. Messi's fourth award lifted him above three-time FIFA winners Zinedine Zidane of France and Brazil's Ronaldo.
Messi has spent most
Question : In $\triangle A B C, \angle A=66^{\circ}$ and $\angle B=50^{\circ}$. If the bisectors of $\angle B$ and $\angle C$ meet at P, then, $\angle B P C-\angle P C A=$?
Option 1: $93^\circ$
Option 2: $91^\circ$
Option 3: $83^\circ$
Option 4: $81^\circ$
Correct Answer: $91^\circ$
Solution : We know that the sum of all the angles of the triangle is $180^\circ$ ⇒ $\angle A + \angle B + \angle C = 180^\circ$ ⇒ $66^\circ + 50^\circ + \angle C = 180^\circ$ ⇒ $116^\circ + \angle C = 180^\circ$ ⇒ $\angle C =
Question : Asansol, Howrah, Malda and Sealdah divisions come under which railway zone of India?
Option 1: West Central Railway
Option 2: Northern Railway
Option 3: Central Railway
Option 4: Eastern Railway
Correct Answer: Eastern Railway
Solution : The correct option is Eastern Railway.
These are the cities located in the state of West Bengal. It covers parts of the eastern and northeastern regions of India. Howrah Division is the busiest and oldest railway division.
Question : Transboundary pollution ( or ) Acid rain is caused by:
Option 1: Carbon monoxide
Option 2: Carbon dioxide
Option 3: Hydrocarbon
Option 4: Nitrogen oxide and sulphur dioxide
Correct Answer: Nitrogen oxide and sulphur dioxide
Solution : The correct answer is Nitrogen oxide and sulphur dioxide.
Acid rain is caused by the Nitrogen oxide and sulphur dioxide pollution because of which these gases dissolve with water vapours in the clouds and forms nitric acid and sulphuric acid respectively,
Question : If $b \cos \theta=a$, then $\operatorname{cosec} \theta+\cot \theta=$_______.
Option 1: $\sqrt{\frac{1}{b+a}}$
Option 2: $\sqrt{\frac{b-a}{b+a}}$
Option 3: $\sqrt{\frac{b+a}{b-a}}$
Option 4: $\sqrt{\frac{1}{b-a}}$
Correct Answer: $\sqrt{\frac{b+a}{b-a}}$
Solution : Given, $b \cos \theta=a$ ⇒ $\cos \theta=\frac{a}{b}$ We know that $\sin^2 \theta + \cos^2 \theta = 1$ So, $\sin^2 \theta + (\frac{a}{b})^2 = 1$ ⇒ $\sin^2 \theta = 1-(\frac{a}{b})^2$ ⇒ $\sin \theta = \frac{\sqrt{b^2-a^2}}{b}$ Now, $\operatorname{cosec} \theta+\cot \theta=\frac{1}{\sin \theta}+\frac{\cos \theta}{\sin \theta}$ ⇒ $\operatorname{cosec} \theta+\cot \theta=\frac{b}{\sqrt{b^2-a^2}}+\frac{\frac{a}{b}}{\frac{\sqrt{b^2-a^2}}{b}}$
Question : Directions: In a certain code language, STEAMER is coded as 81, and CRUISE is coded as 75. How will SUBMARINE be coded in that language?
Option 1: 102
Option 2: 109
Option 3: 100
Option 4: 115
Correct Answer: 102
Solution : Given: STEAMER is coded as 81, and CRUISE is coded as 75.
Place values of the letters of STEAMER are→S = 19; T = 20; E = 5; A = 1; M = 13; E = 5; R = 18 Now, add the place values→19
Question : Which one among the following is a main system board of a computer?
Option 1: CPU
Option 2: Keyboard
Option 3: Microchip
Option 4: Mother board
Correct Answer: Mother board
Solution : The correct answer is Motherboard.
A computer's printed circuit board motherboard is the biggest board in the computer system and is the foundation of the device. The motherboard, or primary printed circuit board, is connected to all of a computer's internal components and external
Question : Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.
Option 1: 2394
Option 2: 3990
Option 3: 1596
Option 4: 3192
Correct Answer: 2394
Solution : Given, HCF = 9 $\therefore$ 1st number = 14 × 9 = 126 Also, 2nd number = 19 × 9 = 171 ⇒ LCM of 126 and 171 = 9 × 14 × 19 = 2394 Hence, the correct answer is 2394.
Question : The height of an equilateral triangle is 18 cm. Its area is:
Option 1: $36\sqrt{3}\operatorname{cm^2}$
Option 2: $108\sqrt{3}\operatorname{cm^2}$
Option 3: $108\operatorname{cm^2}$
Option 4: $96\sqrt{3}\operatorname{ cm^2}$
Correct Answer: $108\sqrt{3}\operatorname{cm^2}$
Solution : Given that the height ($h$) of the equilateral triangle is 18 cm. $ h = \frac{\sqrt{3}}{2} \times a $ $ a = \frac{2h}{\sqrt{3}} = \frac{2 \times 18}{\sqrt{3}} = 12\sqrt{3}\operatorname{ cm}$ The area (A) of an equilateral triangle, $ A = \frac{\sqrt{3}}{4} \times a^2 $ On
Question : Who invented the Centigrade scale?
Option 1: Anders Celsius
Option 2: Daniel Gabriel Fahrenheit
Option 3: William Thomson
Option 4: Wright brothers
Correct Answer: Anders Celsius
Solution : The correct option is Anders Celsius.
Anders Celsius, who is credited with founding Swedish astronomy, is most known for creating the Celsius temperature scale, often known as the centigrade scale, on which the boiling point of water is 100 °C and the freezing point
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