Staff Selection Commission Combined Graduate Level Exam
Question : The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
Option 1: 10 cm
Option 2: 13 cm
Option 3: 12 cm
Option 4: 24 cm
Correct Answer: 13 cm
Solution : AB = 24 cm And OC = 5 cm We have to find AO. C is the middle point of the chord. $\therefore$ AC = $\frac{24}{2} = 12\ \mathrm{cm}$ Using Pythagoras theorem, $\text{AO}^2 = \text{AC}^2 + \text{OC}^2$ ⇒ $\text{AO}^2 = 12^2 + 5^2$ ⇒
Question : Which of the following statements is correct?
I. The nutrition requirements of adolescents are higher than adults.
II. Adolescents are generally grouped in the age group of 10 to 19 years.
Option 1: Only II
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only I
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
Both the statements given in the question are correct.
Rapid physical, social, mental, and emotional changes characterise adolescence. Adolescents require more nutrients than adults because this is when they gain at least 40%
Question : The Himalayas are also known by the name:
Option 1: ancient mountains
Option 2: fold mountains
Option 3: valley mountains
Option 4: Indus mountains
Correct Answer: fold mountains
Solution : The correct answer is fold mountains.
The Himalayas are known as "young fold mountains" because they developed only a few million years ago as a result of continental drift, where the Indo-Australian and Eurasian plates collided.
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. PLANT : VPCNR :: STOMP : ROQVU :: BOARD : ?
Option 1: DPCTF
Option 2: DQCTF
Option 3: FTDQC
Option 4: FTCQD
Correct Answer: FTCQD
Solution : Given: PLANT : VPCNR :: STOMP : ROQVU :: BOARD : ?
Reverse the letters of PLANT and STOMP and then add 2 to the place value of each letter to obtain its related letter cluster. Reverse the letters of PLANT→TNALP Now, add 2→T +
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 4, 6, 12, 14, 28, 30, ?
Option 1: 62
Option 2: 60
Option 3: 54
Option 4: 52
Correct Answer: 60
Solution : Given: 4, 6, 12, 14, 28, 30, ?
Follow the pattern to find the missing term –
So, 60 is the missing number of the series. Hence, the second option is correct.
Question : If $x^2+y^2=29$ and $xy=10$, where $x>0,y>0$ and $x>y$. Then the value of $\frac{x+y}{x-y}$ is:
Option 1: $- \frac{7}{3}$
Option 2: $\frac{7}{3}$
Option 3: $\frac{3}{7}$
Option 4: $-\frac{3}{7}$
Correct Answer: $\frac{7}{3}$
Solution : Given: $x^2+y^2=29$, $xy=10$ $x^2+y^2=29$ ⇒ $x^2+y^2+20=29+20$ (adding 20 on both sides) ⇒ $x^2+y^2+2×10=49$ ⇒ $x^2+y^2+2×xy=49$ (as $xy=10$) ⇒ $(x+y)^2=7^2$ ⇒ $x+y=7$ Now, ⇒ $x^2+y^2-20=29-20$ (subtracting 20 on both sides) ⇒ $x^2+y^2-2×xy=9$ (as $xy=10$) ⇒ $(x-y)^2=3^2$ ⇒ $x-y=3$ In the same way, we get $x-y=3$ So,
Question : Directions: Which two signs should be interchanged to make the given equation correct? 16 + 4 ÷ 2 × 12 − 4 = 40
Option 1: + and ×
Option 2: + and −
Option 3: ÷ and ×
Option 4: ÷ and +
Correct Answer: + and ×
Solution : Given: 16 + 4 ÷ 2 × 12 − 4 = 40
Replace the given signs in the question one by one with the original signs in the given equation. First option: + and × ⇒ 16 × 4 ÷ 2 + 12
Question : Directions: In the following question, some parts of the sentence may have some 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".
Either Sohan or his friends (1) / is to be blamed (2) / for this mischief. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error is in the second part of the sentence.
In the case of either...or, the verb must agree with the second subject (the subject closest to the verb). Thus, "is" should be replaced with are to make the sentence grammatically accurate.
Therefore, the
Question : If $a^2+b^2+c^2=14$ and $a+b+c=6$, then the value of $(ab+bc+ca)$ is:
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 14
Correct Answer: 11
Solution : Given: $a^2+b^2+c^2=14$ and $a+b+c=6$. On squaring the given equation $a+b+c=6$, we get, $(a+b+c)^2=6^2$ ⇒ $a^2+b^2+c^2+2(ab+bc+ca)=36$ Substitute the value of $a^2+b^2+c^2=14$ in the above equation and we get, ⇒ $14+2(ab+bc+ca)=36$ ⇒ $2(ab+bc+ca)=22$ ⇒ $(ab+bc+ca)=11$ Hence, the correct answer is 11.
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Nostalgia helps us maintain a positive psychological status when counteracting the negative impact of difficult situations. B. Nostalgia is a sentimental longing for one’s past. C. The adaptive functions of nostalgia are many, with one effect being pain relief. D. It is a self-conscious, perhaps bittersweet but predominantly positive social emotion.
Option 1: CDBA
Option 2: BDAC
Option 3: ABCD
Option 4: CADB
Correct Answer: BDAC
Solution : The correct choice is the second option.
The paragraph starts with sentence B, which introduces the concept of nostalgia, followed by sentence D, which expands on nostalgia, describing it as a self-conscious emotion. This elaboration provides a nuanced understanding of how nostalgia is
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
