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Question : Ozone layer is present in
Option 1: troposphere
Option 2: ionosphere
Option 3: stratosphere
Option 4: exosphere
Correct Answer: stratosphere
Solution : The correct answer is the stratosphere.
The ozone layer is located in the stratosphere and plays a crucial role in protecting Earth from harmful ultraviolet (UV) rays. Ozone found at ground level is considered a pollutant and is often referred to as bad ozone, whereas
Question : If $\sec \theta+\cos \theta=32$, then $\sec^2 \theta+\cos^2 \theta$ is:
Option 1: 1000
Option 2: 1022
Option 3: 1024
Option 4: 1020
Correct Answer: 1022
Solution : Given: $\sec \theta+\cos \theta=32$ Squaring both sides, we have, ⇒ $(\sec \theta+\cos \theta)^{2}=32^{2}$ ⇒ $\sec^{2} \theta+\cos^{2} \theta+2\sec\theta\cos\theta=1024$ ⇒ $\sec^{2} \theta+\cos^{2} \theta+2=1024$ ⇒ $\sec^{2} \theta+\cos^{2} \theta=1022$ Hence, the correct answer is 1022.
Question : Direction: If SEQUENCE is coded as HVJFVMXV, then how will CHILDREN be coded in the same code?
Option 1: MVIWORSX
Option 2: XSRMWIVM
Option 3: XSROWIVM
Option 4: DSROWIUN
Correct Answer: XSROWIVM
Solution : Given:
SEQUENCE is coded as HVJFVMXV, and the following pattern is observed:
Question : Directions: Select the option in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : Which committee demanded the "Bill of Rights" in 1928?
Option 1: Motilal Nehru committee
Option 2: Rajiv Gandhi committee
Option 3: Jawaharlal Nehru committee
Option 4: Indira Gandhi committee
Correct Answer: Motilal Nehru committee
Solution : The correct answer is the Motilal Nehru committee.
The Motilal Nehru committee demanded the "Bill of Rights" in 1928. The leaders of the freedom movement realised the importance of rights and demanded the British ruler's Bill of Rights. It prohibits the government from
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".
The children (1) laughed at (2) / the clown. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The fourth option is the correct choice, as there is no error in the sentence.
The sentence accurately conveys the intended meaning and is free of any grammatical errors, as "laughed" is followed by the preposition "at".
Question :
Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 6, 18, 54, ?, 486, 1458
Option 1: 164
Option 2: 160
Option 3: 168
Option 4: 162
Correct Answer: 162
Solution : Given: 6, 18, 54, ?, 486, 1458
Let's apply the pattern – 6 × 3 = 18; 18 × 3 = 54; 54 × 3 = 162; 162 × 3 = 486; 486 × 3 = 1458
162 is the missing number. Hence, the fourth
Question : Substitute one word for the italicised expression.
When her teacher calls her a person who cannot be corrected, she laughs at herself.
Option 1: obedient
Option 2: reformable
Option 3: incorrigible
Option 4: manageable
Correct Answer: incorrigible
Solution : The third option is correct.
Incorrigible is used for a person or their behaviour that cannot be changed, making it the appropriate choice.
The meanings of the other options are as follows:
Question : The value of $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ is:
Option 1: $\frac{2}{3}$
Option 2: $\frac{2}{5}$
Option 3: $-\frac{11}{60}$
Option 4: $0$
Correct Answer: $\frac{2}{3}$
Solution : Given: $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \times \frac{3}{4}+\frac{1}{2}$ = $\frac{2}{3}-\frac{5}{6} \times \frac{3}{5}+\frac{1}{2}$ = $\frac{2}{3}- \frac{1}{2}+\frac{1}{2}$ = $\frac{2}{3}$ Hence, the correct answer is $\frac{2}{3}$.
Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ where $a \neq b\neq c\neq 0$, then the value of $a^{2}b^{2}c^{2}$ is:
Option 1: –1
Option 2: abc
Option 3: 0
Option 4: 1
Correct Answer: 1
Solution : $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$ $⇒a-b=\frac{1}{c}-\frac{1}{b}=\frac{b-c}{bc}...(i)$ $⇒b-c=\frac{1}{a}-\frac{1}{c}=\frac{c-a}{ac}...(ii)$ $⇒a-c=\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ba}...(iii)$ Multiplying the above equations, we have, $⇒(a-b)(b-c)(a-c)=(\frac{b-c}{bc})(\frac{c-a}{ac})(\frac{b-a}{ba})$ $⇒(a-b)(b-c)(a-c)=(\frac{(b-c)(c-a)(b-a)}{a^2b^2c^2})$ $⇒ a^2b^2c^2=(\frac{(b-c)(c-a)(b-a)}{(a-b)(b-c)(a-c)})$ $a \neq b\neq c\neq 0$ $⇒ a^2b^2c^2= 1$ Hence, the correct answer is 1.
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