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Staff Selection Commission Combined Graduate Level Exam

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Question : $\sec \theta \sqrt{1-\sin ^2 \theta}=$?

Option 1: –1

Option 2: 1

Option 3: $\infty$

Option 4: 0

Team Careers360 25th Jan, 2024

Correct Answer: 1


Solution : $\sec \theta \sqrt{1–\sin^2\theta}$
$=\sec \theta \sqrt{\cos^2 \theta}$
$=\sec \theta \cos\theta$
$=\sec\theta×\frac{1}{\sec\theta}$
$=1$
Hence, the correct answer is 1.

11 Views

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 16th Jan, 2024

Correct Answer:


Solution : According to the given figure series –
1. The circle at the bottom of the figure becomes shaded and unshaded alternatively.
2. The position of the X type symbol is constant.
The following figure will complete the given pattern – 

Hence, the third option is correct.

102 Views

Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes.
Leafy Vegetables, Salad, Food
Leafy Vegetables = L; Salad = S; Food = F

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 17th Jan, 2024

Correct Answer:


Solution : Leafy vegetables and salad both belong to the category of food. So, their circles will lie inside that of food. Also, some leafy vegetables are consumed as salads. So, their circles will overlap with each other.
Therefore, the Venn diagram is as follows –

Hence, the 

11 Views

Question : Directions: In the following question, select the related number from the given alternatives.
72 : 90 :: 156 : ?

Option 1: 184

Option 2: 168

Option 3: 182

Option 4: 176

Team Careers360 14th Jan, 2024

Correct Answer: 182


Solution : Given:
72 : 90 :: 156 : ?

Add the square of the consecutive natural numbers to itself to obtain the numbers of each pair.
Like, 72 : 90→(8)2 + 8 = 64 + 8 = 72
(9)2 + 9 = 81 +

11 Views

Question : Which of the following comes under the jurisdiction of both  the High Court  and the Supreme Court?

Option 1: Disputes between the states inter se

Option 2: Protection against the violation of the constitution

Option 3: Protection of fundamental Rights

Option 4: Disputes between centre and the states

Team Careers360 21st Jan, 2024

Correct Answer: Protection of fundamental Rights


Solution : Correct answer is protection of fundamental rights 

Fundamental rights are mentioned in part 3 of the constitution and article 12 to 35 belongs to the fundamental rights. Fundamental rights comes under the jurisdiction of both the high court and the supreme court.

10 Views

Question : On increasing each side of a square by 50%, the ratio of the area of the new square formed and the given square will be:

Option 1: 9 : 5

Option 2: 9 : 3.5

Option 3: 9 : 7

Option 4: 9 : 4

Team Careers360 11th Jan, 2024

Correct Answer: 9 : 4


Solution : Let the side of the square be 10 units.
Area of the square = 10 × 10 = 100 sq. units
New side of square after increment of 50% = $\frac{150}{100}\times10$ = 15 units
Area of new square = 15 × 15 =

31 Views

Question : Select the correct direct form of the given sentence.
Rohan asked me if Rohit still cried.

Option 1: Rohan said to me, “Did Rohit still cry?”

Option 2: Rohan says to me, “Does Rohit still cry?”

Option 3: Rohan said to me, “Does Rohit still cry?”

Option 4: Rohan said to me, “Has Rohit still cried?”

Team Careers360 20th Jan, 2024

Correct Answer: Rohan said to me, “Does Rohit still cry?”


Solution : The correct choice is the third option.

In reported or indirect speech, when converting a question to its direct form, the tense, pronouns, and sentence structure may change.

The steps of conversion are as follows:

  • The reporting verb
17 Views

Question : The famous Sun Temple at Konark was built by 

Option 1: Prataparudra 

Option 2: Anantavarman 

Option 3: Narasimha -I 

Option 4: Narasimha - Ii

Team Careers360 15th Jan, 2024

Correct Answer: Narasimha -I 


Solution : Correct Answer is Narasimha -I 

The temple is believed to have been constructed around 1250 CE under the rule of King Narasimhadeva  I of the East Ganga dynasty. The temple is dedicated to the Hindu god Surya, the Sun God. The Sun Temple is

10 Views

Question : If $a + b = 6$ and $ab = 5$, then what is the value of $a^3 + b^3$?

Option 1: 106

Option 2: 136

Option 3: 126

Option 4: 116

Team Careers360 16th Jan, 2024

Correct Answer: 126


Solution : Given: The values of $a + b = 6$ and $ab = 5$.
We know the algebraic identities, $(a+b)^2=a^2 + b^2 +2ab$ and $a^3 + b^3=(a+b)(a^2 + b^2–ab)$.
$a + b = 6$ (equation 1)
Squaring on both sides of the equation (1),
⇒ $(a

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