Staff Selection Commission Combined Graduate Level Exam
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: $\frac{3}{\sqrt{13}}$
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 $\frac{2}{\sqrt{13}}$.
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
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
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:
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
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
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.
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
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 × ($\frac{\text{9}}{10}$) × ($\frac{\text{19}}{20}$) $\therefore$
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
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 =
Question : Select the most appropriate synonym of the given word.
Confusion
Option 1: Intrepidity
Option 2: Stagnation
Option 3: Perusal
Option 4: Commotion
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:
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
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
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
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
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
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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