Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In a certain code language, BALD is coded as 7680, and DRAB is coded as 8097. What is the code for L in the given code language?
Option 1: 8
Option 2: 6
Option 3: 0
Option 4: 7
Correct Answer: 6
Solution : Given: BALD is coded as 7680 DRAB is coded as 8097
Common letters in the 1st and the 2nd words are – B, A, D Common numbers in the 1st and the 2nd words are – 7, 8, 0
The number and letter left in
Question : Select the INCORRECTLY spelt word from the given sentence.
Drunkeness, riot and brawling were the order, there, every night.
Option 1: Riot
Option 2: Drunkeness
Option 3: Order
Option 4: Brawling
Correct Answer: Drunkeness
Solution : The correct choice is the second option.
Explanation for each option:
"Riot" - This word is correctly spelt and means a violent public disturbance.
"Drunkeness" - This word is incorrectly spelled. The correct spelling is "Drunkenness".
"Order" - This word is correctly spelt and means
Question : Which of the following pairs of 'number – composition' is correct?
I. Atomic number – number of protons II. Mass number – Sum of number of neutrons and protons
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
The atomic number of an element is equal to the number of protons in its nucleus. It uniquely identifies an element.
Thus, the atomic number-number of protons statement is correct.
The mass number of
Question : In an equilateral triangle, the circumradius is 14 cm. What is the length of the median in this triangle?
Option 1: $14 \sqrt{3} \mathrm{~cm}$
Option 2: $21 \mathrm{~cm}$
Option 3: $18 \sqrt{3} \mathrm{~cm}$
Option 4: $7 \sqrt{3} \mathrm{~cm}$
Correct Answer: $21 \mathrm{~cm}$
Solution : Circumradius = 14 cm $a$ = side of equilateral triangle Circum-radius, r = $\frac{a}{\sqrt{3}}$ ⇒ $a = 14\sqrt{3}$ cm Now, Length of median = Height of equilateral triangle $ = \frac{\sqrt{3}a}{2}= \frac{(\sqrt{3} × 14\sqrt{3})}{2}$ = 21 cm Hence, the correct answer is $21 \mathrm{~cm}$.
Question : Directions: Identify the alternative that resembles the mirror image of the given word.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the
Question : Fill in the blank with an appropriate option. Habitat loss received little attention from all Twitter ______.
Option 1: band
Option 2: users
Option 3: forces
Option 4: pools
Correct Answer: users
The word "users" is the appropriate option to fill in the blank.
The sentence suggests that habitat loss didn't receive much attention from the collective group of people using Twitter. In the context of the sentence, the term
Question : Which state of India has made rainwater harvesting compulsory for all houses?
Option 1: Haryana
Option 2: Maharashtra
Option 3: Tamil Nadu
Option 4: Punjab
Correct Answer: Tamil Nadu
Solution : The correct option is Tamil Nadu.
The first state in India that mandates rooftop rainwater harvesting systems for every home is Tamil Nadu. The act of collecting and storing rainwater as opposed to letting it run off is called rainwater harvesting. Rainwater is collected
Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 49 × 7 ÷ 13 – 87 + 12 = ?
Option 1: 167
Option 2: 166
Option 3: 159
Option 4: 171
Correct Answer: 166
Solution : Given: 49 × 7 ÷ 13 – 87 + 12 = ?
On, interchanging the symbols with each other, we get – = 49 ÷ 7 × 13 + 87 – 12 = 7 × 13 + 87 – 12 = 91 + 87 –
Question : Simplify the following expression: $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$
Option 1: $2 \cos A$
Option 2: $2 \tan A$
Option 3: $2 \sec A$
Option 4: $2 \sin A$
Correct Answer: $2 \sec A$
Solution : $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$ $=\frac{(1-\sin A)^2+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+\sin^2 A-2\sin A+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+1 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2(1 -\sin A)}{\cos A(1-\sin A)}$ $=\frac{2}{\cos A}$ $=2\sec A$ Hence, the correct answer is $2\sec A$.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
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