Staff Selection Commission Combined Graduate Level Exam
Question :
Saliva helps in the digestion of :
Option 1:
fats
Option 2:
starch
Option 3:
proteins
Option 4: vitamins
Correct Answer:
Solution : The correct answer is starch
When you start chewing, saliva glands in your mouth and throat begin to secrete. The sight or scent of food might initiate this process. The drink promotes digestion, moisturises the mouth, prevents infections in the mouth and throat, and protects
Question : Directions: If 37 * 14 = 17, 69 * 33 = 34, 91 * 125 = 72, then what should be the value of 28 * 56 = ?
Option 1: 26
Option 2: 42
Option 3: 34
Option 4: 28
Correct Answer: 28
Solution : Given: 37 * 14 = 17 69 * 33 = 34 91 * 125 = 72
(37 * 14) = 17→(37 + 14) ÷ 3 = 51 ÷ 3 = 17 (69 * 33) = 34→(69 + 33) ÷ 3 = 102 ÷ 3 =
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 4:
Solution : The pattern followed in the figure series is as follows – 1. The arrow in the top left is rotating 90° in a clockwise direction. 2. The arrow in the top right is rotating 90° in an anticlockwise direction. 3. The triangle in the bottom left
Question : Name the longest lake in India.
Option 1: Pangong Lake
Option 2: Pulicat Lake
Option 3: Kolleru Lake
Option 4: Vembanad Lake
Correct Answer: Vembanad Lake
Solution : The correct answer is Vembanad Lake.
Vembanad Lake is the longest lake in India. It is a Ramsar site, and Kumarakom Bird Sanctuary is located on the east coast of this lake. It is also known as Vembanad Kayal, Vembanad Kol, Punnamada Lake,
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
He has made a (1) / mistake of (2) / which I am certain. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is correct.
There is no error in the sentence.
Explanation:
The sentence is grammatically correct. It conveys that the speaker is confident about something related to the mistake without specifying the exact nature of that certainty.
Question : The constitution of India was adopted on
Option 1: 26 January,1950
Option 2: 26 January,1949
Option 3: 26 November,1949
Option 4: 31 December,1949
Correct Answer: 26 November,1949
Solution : Correct Answer is 26 November,1949
In India, the day the Indian Constitution came into force is commemorated and celebrated as Republic Day. The Constitution establishes a parliamentary system of government and a federal system of government with some unitary components. This became the nation's
Question : Identify and correct the INCORRECTLY spelt word in the given sentence.
Successful people often have a role modal who inspired them to greatness.
Option 1: greatness
Option 2: successful
Option 3: inspired
Option 4: modal
Correct Answer: modal
Solution : The incorrectly spelt word in the sentence is the fourth option.
The correct spelling is model. In the context of the sentence, a "role model" refers to a person who serves as an example or inspiration for others.
The meanings of other options are as
Question : Which Charter Act brought to an end, the East India Company's monopoly in India's foreign trade ?
Option 1: Charter Act of 1853
Option 2: Charter Act of 1793
Option 3: Charter Act of 1813
Option 4: Charter Act of 1833
Correct Answer: Charter Act of 1813
Solution : The Correct Answer is Charter Act of 1813
This charter act from 1813 maintained the Crowns' control over the British companies in India. Trade in opium, tea, and goods from China persisted even after their monopoly over every other company was broken.
Question : Simplify the following. $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$
Option 1: $1+\sin \alpha \cos \alpha$
Option 2: $\tan \alpha$
Option 3: $1-\sin \alpha \cos \alpha$
Option 4: $\sec \alpha$
Correct Answer: $1-\sin \alpha \cos \alpha$
Solution : $\frac{\sin^3 \alpha+\cos^3 \alpha}{\sin \alpha+\cos \alpha}$ = $\frac{(\sin \alpha+\cos \alpha)(\sin^2 \alpha+\cos^2 \alpha–\sin \alpha\cos \alpha)}{\sin \alpha+\cos \alpha}$ = $(1–\sin \alpha\cos \alpha)$ [$\because \sin^2 \alpha+\cos^2 \alpha=1]$ Hence, the correct answer is $(1–\sin \alpha\cos \alpha)$.
Question : $\cos^3 60°-\cos^3 240°-\cos^3 360°=$ _________.
Option 1: $-\frac{3}{4}$
Option 2: $-\frac{7}{5}$
Option 3: $-\frac{3}{5}$
Option 4: $-\frac{9}{7}$
Correct Answer: $-\frac{3}{4}$
Solution : Given: $\cos ^3 60°-\cos ^3 240°-\cos ^3 360°$ Now, $\cos60°=\frac{1}{2}$ $\cos240°=\cos(180°+60°)=-\cos60°=-\frac{1}{2}$ $\cos360°=\cos(360°+0°)=\cos0°=1$ So, $\cos^3 60°-\cos^3 240°-\cos^3 360°$ = $(\frac{1}{2})^3-(-\frac{1}{2})^3-(1)^3$ = $\frac{1}{8}+\frac{1}{8}-1$ = $-\frac{3}{4}$ Hence, the correct answer is $-\frac{3}{4}$.
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