Staff Selection Commission Combined Graduate Level Exam
Question : Three positive numbers are in the ratio of 4 : 5 : 7, and the sum of their squares is 15,210. Find the sum of the three numbers.
Option 1: 148
Option 2: 156
Option 3: 126
Option 4: 208
Correct Answer: 208
Solution : Let the three positive numbers be 4x, 5x, and 7x. So, (4x)2 + (5x)2 + (7x)2 = 15210 ⇒ 16x2 + 25x2 + 49x2 = 15210 ⇒ 90x2 = 15210 ⇒ x2 = 169 $\therefore$ x =
Question : Choose the option that rectifies the incorrectly spelt underlined word. Mr Singh is a phenomenally sucsesful salesperson.
Option 1: sucessful
Option 2: successful
Option 3: successfull
Option 4: sucesfull
Correct Answer: successful
Solution : The correct spelling of the underlined word is the second option.
The original sentence has the misspelt word "successful", which should be corrected to "successful" for accuracy.
Therefore, the correct sentence is, "Mr Singh is a phenomenally successful salesperson."
Question : Comprehension:
In the given passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Gabriella Montez was comfortably curled up in an overstuffed chair in the sitting area. She was (1) _________ the peace and quiet at home - everyone else was (2) ________ at the party - and had totally lost (3) __________ in a book which was the best she had (4)_________ read and she couldn’t wait to get (5) _______the end. However, before she set her eyes (6) ________ the next page, the book was (7) ________right out of her hands, and she (8) __________ at her mother standing over her. “Gabby, it's New Year’s Eve,” she said. “(9) __________ reading!” she snapped at her daughter. “But, Mom, I’m almost done,” Gabriella (10) __________.
Question:
Select the most appropriate option to fill in blank No.1
Option 1: enjoying
Option 2: living
Option 3: calming
Option 4: relaxing
Correct Answer: enjoying
Solution : The correct choice is the first option.
Explanation: Enjoying fits best in the sentence as it expresses the feeling of pleasure or contentment. The phrase enjoying the peace and quiet is a common way to describe someone taking pleasure in a calm and
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Maharana Pratap killed many enemy soldiers (through his sword).
(1) by his sword
(2) with his sword
(3) across his sword
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
The correct preposition to be used here is "with" as "with" is used with objects and makes the sentence grammatically accurate to convey the intended meaning of the sentence that the sword is used as a weapon to
Question : Which state government launched 'Kaushalya Matritva Yojana' in March 2022?
Option 1: Madhya Pradesh
Option 2: Chhattisgarh
Option 3: Haryana
Option 4: Uttar Pradesh
Correct Answer: Chhattisgarh
Solution : The correct option is Chhattisgarh.
In March 2022, the Chhattisgarh government announced the Kaushalya Matritva Yojana. Women who have a second female child are eligible for an INR 5,000 lump sum of cash under the plan. The scheme's goal is to assist mothers in
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 68 : 19 :: 76 : 21 :: 164 : ?
Option 1: 45
Option 2: 39
Option 3: 43
Option 4: 41
Correct Answer: 43
Solution : Given: 68 : 19 :: 76 : 21 :: 164 : ?
Divide the first number by 4 and add 2 to the resultant to obtain the second number. Like, 68 : 19→68 ÷ 4 = 17; 17 + 2 = 19 And, 76 :
Question : Select the option that expresses the given sentence in passive voice.
Let me buy an expensive bag for my friend.
Option 1: I request you to buy an expensive bag for my friend.
Option 2: An excessive bag will be bought by me for my friend.
Option 3: Let an expensive bag was bought by me for my friend.
Option 4: Let an expensive bag be bought by me for my friend.
Correct Answer: Let an expensive bag be bought by me for my friend.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes
Question : Which one is the largest among the fractions? $\frac{5}{113},\frac{7}{120},\frac{13}{145}$ and $\frac{17}{160}$
Option 1: $\frac{5}{113}$
Option 2: $\frac{7}{120}$
Option 3: $\frac{13}{145}$
Option 4: $\frac{17}{160}$
Correct Answer: $\frac{17}{160}$
Solution : Given: $\text{$\frac{5}{113}$, $\frac{7}{120}$, $\frac{13}{145}$, $\frac{17}{160}$}$ Find the approximate value. $\Rightarrow\frac{5}{113}\approx \frac{1}{22}$ $\Rightarrow\frac{7}{120}\approx \frac{1}{17}$ $\Rightarrow\frac{13}{145}\approx \frac{1}{11}$ $\Rightarrow\frac{17}{160}\approx \frac{1}{9}$ If all numerators of the fractions are the same and denominators are different, then the fraction with the least denominator is the largest. So, here $\frac{1}{9}$ is the
Question : If $\operatorname{sin} \theta=\frac{4}{5}$, find the value of $\tan \theta-\operatorname{cot} \theta$.
Option 1: $\frac{5}{12}$
Option 2: $\frac{7}{9}$
Option 3: $\frac{7}{12}$
Option 4: $\frac{7}{8}$
Correct Answer: $\frac{7}{12}$
Solution : $\sin\theta=\frac{AB}{AC}=\frac{4}{5}$ Let $AB = 4k$ and $AC = 5k$, Using Pythagoras theorem, $BC = \sqrt{AC^2-AB^2}= \sqrt{(5k)^2-(4k)^2}=3k$ Now, $\tan\theta-\cot\theta$ $= \frac{4k}{3k}-\frac{3k}{4k}$ $= \frac{7}{12}$ Hence, the correct answer is $\frac{7}{12}$.
Question : If $\tan A = \frac{10}{15}$, then what will be the value of $\cos^2 A$?
Option 1: $\frac{59}{269}$
Option 2: $\frac{49}{269}$
Option 3: $\frac{225}{325}$
Option 4: $\frac{169}{269}$
Correct Answer: $\frac{225}{325}$
Solution : Given, $\tan A = \frac{10}{15}$ ⇒ $\tan^2 A = \frac{100}{225}$ ⇒ $\sec^2 A -1=\tan^2 A= \frac{100}{225}$ ⇒ $\sec^2 A = \frac{325}{225}$ ⇒ $\cos^2 A = \frac{225}{325}$ Hence, the correct answer is $\frac{225}{325}$.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
