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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\tan A=\frac{2}{3}$, then find $\sin A$.

Option 1: $\frac{1}{3}$

Option 2: $\frac{2}{\sqrt{13}}$

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

Option 4: $\frac{3}{\sqrt{13}}$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{2}{\sqrt{13}}$


Solution : Given, $\tan A=\frac{2}{3}$
Let perpendicular and base be 2 and 3 units.
Now, the hypotenuse $= \sqrt{2^2+3^2} = \sqrt{13}$ units
So, $\sin A = \frac{\text{perpendicular}}{\text{hypotenuse}}=\frac{2}{\sqrt{13}}$
Hence, the correct answer is $\frac{2}{\sqrt{13}}$.

9 Views

Question : Which of the following Indian states receive rainfall during October and November due to the northeast monsoon?

Option 1: Uttar Pradesh

Option 2: Maharashtra

Option 3: Madhya Pradesh

Option 4: Tamil Nadu

Team Careers360 21st Jan, 2024

Correct Answer: Tamil Nadu


Solution : The correct answer is Tamil Nadu.

The northeast monsoon, which is also known as the retreating monsoon, brings rain to these regions (Tamil Nadu, Puducherry) after the southwest monsoon season ends. The southwest monsoon brings rain to most parts of the country. Tamil

12 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : According to the given figure series –
1. As we move from one box to another, the number of petals increases by 1.
2. The image at the centre of the box is being rotated 45° in an anticlockwise direction.
So, following the above pattern, the

22 Views

Question : The highest sex ratio according to census 2011 is of which state?

Option 1: Chhattisgarh

Option 2: Andhra Pradesh

Option 3: Tamil Nadu

Option 4: Kerala

Team Careers360 25th Jan, 2024

Correct Answer: Kerala


Solution : The correct option is Kerala.

The 2011 Census of India was a comprehensive national survey conducted by the Indian government to gather demographic, social, and economic data. According to the census, Kerala records the highest sex ratio of 1084 females per 1000 males.

8 Views

Question : A discount of 10% is offered on the price of an article if the payment is made online. An additional discount of 5% is given to credit card holders. A person wishes to buy a watch priced at INR 60,000 by paying online through a credit card. How much does he need to pay (in INR)?

Option 1: 51,300

Option 2: 53,100

Option 3: 61,250

Option 4: 62,150

Team Careers360 19th Jan, 2024

Correct Answer: 51,300


Solution : The initial price of the watch is INR 60,000. 
Final Price = Original Price × (1 – $\frac{\text{Discount1}}{100}$) × (1 – $\frac{\text{Discount2}}{100}$)
⇒ Final Price = 60,000 × (1 – $\frac{\text{10}}{100}$) × (1 – $\frac{\text{5}}{100}$)
⇒ Final Price = 60,000 × ($\frac{\text{9}}{10}$) × ($\frac{\text{19}}{20}$)
$\therefore$

13 Views

Question : Directions: Rama walked 10 km south, turned right, and walked 5 km. Then again, she turned right and walked 10 km. Then she turned left and walked 10 km. How many km will Rama have to walk to reach the starting point?

Option 1: 25 km

Option 2: 20 km

Option 3: 5 km

Option 4: 15 km

Team Careers360 21st Jan, 2024

Correct Answer: 15 km


Solution : Firstly, we will draw the diagram as per the given instructions –



In the above figure, O is the starting point and C is the finishing point. So, OC is the distance from the starting point.
OC = OD + DC
And, OD =

176 Views

Question : Select the most appropriate synonym of the given word.

Confusion

Option 1: Intrepidity

Option 2: Stagnation

Option 3: Perusal

Option 4: Commotion

Team Careers360 21st Jan, 2024

Correct Answer: Commotion


Solution : The correct choice is the fourth option.

The correct synonym for confusion is commotion. Commotion refers to a state of tumultuous or noisy confusion.

The meanings of the other options are as follows:

  • Intrepidity refers to fearlessness or bravery.
  • Stagnation refers to a
17 Views

Question : As of 2016, The amount of insurance coverage provided by Indian Railways for passengers at a premium of Rs. 1 is

Option 1: Rs. One Lakh

Option 2: Rs. Fifty thousand

Option 3: Rs. Ten lakh

Option 4: Rs. Five lakh

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. Ten lakh


Solution : The correct answer is Rs. Ten lakh.

Through this service, IRCTC offers insurance coverage to its customers for Rs 1 and up to Rs. Ten lakh. By selecting the "Travel Insurance" checkbox on the IRCTC website when making a reservation, one can

22 Views

Question : Select the most appropriate option to fill in the blank.

The great director Satyajit Ray after receiving the Honorary Academic Award from Audrey Hepburn,________in his Kolkata home.

Option 1: breathed his last

Option 2: nipped in the bud

Option 3: kept the ball rolling

Option 4: dug the grave

Team Careers360 21st Jan, 2024

Correct Answer: breathed his last


Solution : The first option is the correct answer.

The phrase breathed his last is an idiomatic expression used to convey someone's death. In the context of the sentence, it appropriately indicates that the great director Satyajit Ray passed away after receiving the Honorary Academic

24 Views

Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below.
King : Palace

Option 1: Bee : Honey

Option 2: Nun : Convent

Option 3: Ice : Igloo

Option 4: Horse : Den

Team Careers360 20th Jan, 2024

Correct Answer: Nun : Convent


Solution : Given:
King : Palace (This depicts the relation between living beings and their dwelling place.)

Let's check the options –
First option: Bee : Honey; Honey is not the dwelling place of Bee. However, Bee gives us honey.
Second option: Nun : Convent;

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