Staff Selection Commission Combined Graduate Level Exam
Question : What is the equation of the line perpendicular to the line $2x+3y=-6$ and having y-intercept 3?
Option 1: $3x-2y=6$
Option 2: $3x-2y=-6$
Option 3: $2x-3y=-6$
Option 4: $2x-3y=6$
Correct Answer: $3x-2y=-6$
Solution : The equation of the given line is $2x+3y=–6$ The y-intercept is $3$. According to the question, A line with slope $m$ is represented as $y=mx+c$ Given line, $2x+3y=–6$ ⇒ $y=-\frac{2}{3}x-2$ Slope of the line $=–\frac{2}{3}$ The product of the slope of two perpendicular lines is
Question : A new coin called the 'Rupia' was issued for the first time by
Option 1: Ala-ud-din Khilji
Option 2: Mohammed Shah Tughluq
Option 3: Sher Shah Suri
Option 4: Akbar
Correct Answer: Sher Shah Suri
Solution : Correct Answer is Sher Shah Suri
Sher Shah Suri introduced the Rupiya coin and standardized measurements and weights across the empire. Sher Shah Suri issued this coin, measuring 178 grains, during his reign between 1540 and 1545. Later on, it was standardized by
Question : What is the rate of interest (in %), if simple interest earned on a certain sum for the 3rd year is INR 2,000 and compound interest earned in 2 years is INR 4,160?
Option 1: 8
Option 2: 10
Option 3: 12
Option 4: 6
Correct Answer: 8
Solution : It is given that simple interest for 3rd year = INR 2000 Simple interest(SI) in first 2 years = 2000 + 2000 = INR 4,000 (since SI remains the same for the equal period at the same rate) Compound interest(CI) in 2 years = 4160
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. Also, her face looked extraordinarily haggard. B. Her large eyes seemed larger and darker than ever. C. I greeted her and set a chair for her to sit on. D. There were dark circles around them as though she hadn't slept.
Option 1: BACD
Option 2: CADB
Option 3: BCDA
Option 4: CBDA
Correct Answer: CBDA
Solution : The fourth option is the correct choice.
The sequence begins with sentence C, where the speaker greets the person and sets a chair for her to sit on. Sentence B follows, describing the person's large eyes, which seem larger and darker than ever. Sentence
Question : The purpose of an optical filter is to___________.
Option 1: reflect lights of different colours
Option 2: dispense light into component colours
Option 3: refract the light of different colours
Option 4: transmit or absorb light of different colours
Correct Answer: transmit or absorb light of different colours
Solution : The correct answer is to transmit or absorb light of different colours
An optical filter is a device that selectively transmits light of different wavelengths or can pass a particular range of wavelengths while blocking the remainder. These devices
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".
I succeeded persuading him (1) / to come with me (2) / only after hours of argument. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error is in the first part of the sentence.
The verb "succeeded" should be followed by the preposition "in" when used with the gerund form of the verb, which is "persuading" in this case.
So, the correct sentence should be: "I succeeded in persuading
Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the ones given that will complete the series. XXXOXXX, XXXXOXX, XXOXXXX, XXXXXOX, XOXXXXX, ?
Option 1: XXXXXXO
Option 2: OXXXXXXO
Option 3: XXXOXXX
Option 4: XXXXXX
Correct Answer: XXXXXXO
Solution : Given: XXXOXXX, XXXXOXX, XXOXXXX, XXXXXOX, XOXXXXX, ?
In the given series, the letter O is alternatively shifting toward the right and left. XXXOXXX→In the first term, the letter O is in the fourth position. XXXXOXX→In the second term, the letter O
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. CHRONOLOGICAL
Option 1: CALL
Option 2: LOGIC
Option 3: CALICO
Option 4: ANALOGY
Correct Answer: ANALOGY
Solution : Given: CHRONOLOGICAL
Now, let's compare all the option words with the word CHRONOLOGICAL – First option: CALL; All the letters of CALL are present in the word CHRONOLOGICAL. Second option: LOGIC; All the letters of LOGIC are present in the word CHRONOLOGICAL. Third option: CALICO;
Question : The table given below shows the number of players participating in two games in six different schools.
What is the ratio of total number of players participating in game A to the total number of players participating in game B?
Option 1: 117 : 77
Option 2: 67 : 116
Option 3: 77 : 117
Option 4: 116 : 57
Correct Answer: 77 : 117
Solution : Total number of players in game A = 31 + 24 + 18 + 29 + 12 + 40 = 154 Total number of players in game B = 58 + 36 + 26 + 37 + 33 + 44 = 234 ⇒
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
He denied (1) / to have (2) / been there. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error in the sentence is in the second part. In the second part, "to have" is incorrect. The verb "denied" is followed by the gerund form, which is "having" in this context. Verbs can be followed by either the infinitive form (to + base
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