Staff Selection Commission Combined Graduate Level Exam
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 recall you telling me (1) / the story of the seven witches, (2) / but I cannot remember where or when. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Explanation: The error is in the use of you, as gerund is followed by the possessive pronoun, so "you" should be replaced with "your".
Hence, the correct sentence would be: "I recall your telling me the story
Question : A dealer marks a washing machine for Rs. 7,500 and allows a discount of 6% on it. Find its selling price.
Option 1: Rs. 6,850
Option 2: Rs. 7,050
Option 3: Rs. 7,250
Option 4: Rs. 6,950
Correct Answer: Rs. 7,050
Solution : Marked price = Rs. 7500 Discount = 6% The selling price = $\frac{100-D_1}{100}\times \text{MP}$, where D1 is the discount percentage and MP is the marked price. So, Selling price = 94% of Rs. 7500 = $\frac{94 × 7500}{100}$ = 94 × 75 =
Question : Select the most appropriate option to improve the underlined segment in the given sentence.If there is no need to improve it, select ‘No improvement required’. I enjoy watch historical movies.
Option 1: to watch
Option 2: No improvement required
Option 3: to watching
Option 4: watching
Correct Answer: watching
Solution : The correct choice is the fourth option
Explanation:
In this context, the gerund form watching is the correct choice as "enjoy" is followed by the gerund form of the verb. As we know that "enjoy" is followed by the object so using the gerund
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The boys were____ to hear that we were going to build a bridge.
Option 1: delight
Option 2: delights
Option 3: delighted
Option 4: delighting
Correct Answer: delighted
Solution : The correct choice is the third option.
Explanation: This is the past participle form of the verb "delight" and is used as per the passive structure. In the context of the sentence, it's the correct choice because it indicates that the boys were very pleased
Question : A solid hemisphere has a radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surface area to total surface area is 2 : 5, What is the radius (in cm) of its base (take $\pi=\frac{22}{7}$ )?
Option 1: 23
Option 2: 21
Option 3: 17
Option 4: 19
Correct Answer: 21
Solution : The radius of a solid hemisphere is 21 cm. The ratio of the cylinder's curved surface area to its Total surface area is $\frac{2}{5}$. The curved surface area of the cylinder = $2πRh$ The total surface area of cylinder = $2πR(R + h)$ The volume
Question : $\left(\frac{\tan ^3 \theta}{\sec ^2 \theta}+\frac{\cot ^3 \theta}{\operatorname{cosec}^2 \theta}+2 \sin \theta \cos \theta\right) \div\left(1+\operatorname{cosec}^2 \theta+\tan ^2 \theta\right), 0^{\circ}<\theta<90^{\circ}$, is equal to:
Option 1: $\operatorname{cosec} \theta \sec \theta$
Option 2: $\operatorname{cosec} \theta$
Option 3: $\sin \theta \cos \theta$
Option 4: $\sec \theta$
Correct Answer: $\sin \theta \cos \theta$
Solution : $\left(\frac{\tan ^3 \theta}{\sec ^2 \theta}+\frac{\cot ^3 \theta}{\operatorname{cosec}^2 \theta}+2 \sin \theta \cos \theta\right) \div\left(1+\operatorname{cosec}^2 \theta+\tan ^2 \theta\right)$ = $(\frac{ \frac{\sin^3 \theta}{\cos^3 \theta}}{\frac{1}{\cos^2 \theta}}+\frac{\frac{\cos^3 \theta}{\sin^3 \theta}}{\frac{1}{\sin^2 \theta} \theta}+2 \sin \theta \cos \theta) \div(1+\tan ^2 \theta+\operatorname{cosec}^2 \theta)$ = $\left(\frac{\sin^3 \theta}{\cos\theta} + \frac{\cos^3 \theta}{\sin\theta} + 2
Question : The Delhi Municipal Corporation (Amendment) Bill, 2022 was passed in Lok Sabha on________.
Option 1: April 30, 2022
Option 2: April 20, 2022
Option 3: May 15, 2022
Option 4: March 25, 2022
Correct Answer: March 25, 2022
Solution : The correct answer is March 25, 2022.
On March 25, 2022, the Delhi Municipal Corporation (Amendment) Bill 2022 was presented to the Lok Sabha. The Delhi Municipal Corporation Act, 1957, enacted by Parliament, is intended to be amended by the bill.
Question : Direction: Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis.
5 × 8 = 28, 3 × 7 = 12, 8 × 6 = 35, 13 × 13 = ?
Option 1: 169
Option 2: 130
Option 3: 140
Option 4: 144
Correct Answer: 144
Solution : Given:
5 × 8 = 28 ⇒ ( 5 – 1 ) × ( 8 – 1 ) = 28
3 × 7 = 12 ⇒ ( 3 – 1 ) × ( 7 – 1 ) = 12
8 × 6 = 35 ⇒
Thanks to an insight and persistence of the local doctor, hundreds of victims have been able to resume normal life.
(1) No Error
(2) and persistence of the local doctor
(3) hundreds of victims have been able to resume normal life
(4) thanks to an insight
Correct Answer: (4)
Solution : The error lies in the fourth option.
The article "an" should be replaced with "the" to make the sentence grammatically accurate as the definite article "the" is used to specify that the sentence refers to the particular insight and persistence of the local doctor.
Therefore,
Question : Let O be the centre of the circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT, if PA = 3 cm and AB = 9 cm.
Option 1: $3 \sqrt{3} \mathrm{~cm}$
Option 2: $4 \sqrt{3} \mathrm{~cm}$
Option 3: 6 cm
Option 4: 8 cm
Correct Answer: 6 cm
Solution : Let O be the centre of a circle. PAB is a secant of the circle. PA = 3 cm and AB = 9 cm If PAB and PT are a secant and a tangent respectively drawn from external point P, then PA × PB
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