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Question : Bhagat Singh and Batukeshwar Dutt threw a bomb at the Central Legislative Assembly on ________.
Option 1: 8 April 1930
Option 2: 10 April 1929
Option 3: 8 April 1929
Option 4: 10 April 1930
Correct Answer: 8 April 1929
Solution : The correct answer is 8 April 1929.
On April 8, 1929, Batukeshwar Dutt and Shaheed Bhagat Singh bombed the Central Legislative Assembly. These two young Indian revolutionaries shifted the direction of India's freedom fight by bringing an uprising among the youth to the
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 19
Option 2: 20
Option 3: 17
Option 4: 21
Correct Answer: 20
Solution : Add the consecutive natural numbers (starting from 3) to each number given in the figure to get the next number in the clockwise direction (from 2). 2 + 3 = 5; 5 + 4 = 9; 9 + 5 = 14; 14 + 6 =
Question : Directions: Select a suitable figure from the answer figures that would replace the question mark (?).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The diamond-shaped figure and the circles inside and outside rotate by 90° in the anti-clockwise direction. 2. The number of circles around the diamond-shaped figure inside each box decreases by 1. So, following the above pattern, the required figure
Question : Select the most appropriate option to fill in the blank.
I think he is a worthy _____ of the policy and a worthy adversary for the press.
Option 1: reciprocate
Option 2: placate
Option 3: educate
Option 4: advocate
Correct Answer: advocate
Solution : The correct choice is the fourth option.
Advocate is the correct choice. It means to support or argue for a cause. This helps convey the intended meaning that the speaker thinks the person being referred can publicly support and argue for the policy.
The
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. The olive tree grows slowly yet lives a long time. B. The normal lifespan of an olive tree is 300-400 years, but olive trees as ancient as 3000 years have been discovered. C. The olive is a well-known Mediterranean-native evergreen tree whose fruit and oil are used in cuisine and cooking. D. As a result, the olive tree is known as the 'immortal tree' in mythology and botany.
Option 1: CDAB
Option 2: CABD
Option 3: DBCA
Option 4: ABCD
Correct Answer: CABD
Solution : The correct answer is the second option.
Sentence (C) introduces the olive tree and its significance in Mediterranean cuisine. The sentence (A) provides information about the growth and lifespan of the olive tree. Sentence (B) discusses the typical lifespan of an olive tree and highlights
Question : If $x+\frac{1}{x}=2 \cos \theta$, then $x^3+\frac{1}{x^3}=?$
Option 1: $2 \cos 2θ$
Option 2: $\cos 3θ$
Option 3: $2 \cos 3θ$
Option 4: $\cos 2θ$
Correct Answer: $2 \cos 3θ$
Solution : Given: $x+\frac{1}{x}=2 \cos \theta$. Cubing both sides, we get: $⇒\left(x^3+\frac{1}{x^3}\right) + 3\left(x+\frac{1}{x}\right) = 8\cos^3 \theta$ Putting the values, we get: $⇒x^3+\frac{1}{x^3} = 8\cos^3 \theta- 3(2 \cos \theta)$ $⇒x^3+\frac{1}{x^3}= 8\cos^3 \theta- 6 \cos \theta$ $⇒x^3+\frac{1}{x^3}=2(4\cos^3 \theta- 3 \cos \theta)$ $⇒x^3+\frac{1}{x^3}=2 \cos 3 \theta$ Hence,
Question : As per the UN criteria, a city qualifies as a mega city when its population is a minimum of:
Option 1: 12 million
Option 2: 15 million
Option 3: 10 million
Option 4: 5 million
Correct Answer: 10 million
Solution : The correct answer is 10 million.
A megacity refers to a highly populous urban area. As per the UN criteria, a city qualifies as a mega city when its population exceeds 10 million people. Some examples of megacities in India are Mumbai, Delhi, Kolkata,
Question : If $\cot A=\frac{12}{5}$, then the value of $(\sin A+\cos A) \times \operatorname{cosec} A$ is_____.
Option 1: $\frac{13}{5}$
Option 2: $\frac{17}{5}$
Option 3: $\frac{14}{5}$
Option 4: 1
Correct Answer: $\frac{17}{5}$
Solution : Given: $\cot A=\frac{12}{5}$ Now, $(\sin A+\cos A)×\operatorname{cosec}A$ $= (\sin A×\operatorname{cosec}A)+(\cos A×\operatorname{cosec}A)$ $= 1+\cot A$ $= (1+\frac{12}{5})$ $= \frac{17}{5}$ Hence, the correct answer is $\frac{17}{5}$.
Question : If $l+m+n=9$ and $l^{2}+m^{2}+n^{2}=31$, then the value of $(lm+mn+nl )$ will be:
Option 1: 22
Option 2: 50
Option 3: 25
Option 4: –25
Correct Answer: 25
Solution : Given: $l^{2}+m^{2}+n^{2}=31$ And $l+m+n=9$ Squaring both sides, $(l+m+n)^2=81$ ⇒ $l^2+m^2+n^2+2(lm+mn+nl)= 81$ ⇒ $31+2(lm+mn+nl) = 81$ ⇒ $2(lm+mn+nl) = 81 – 31 = 50$ Thus, $(lm+mn+nl)=\frac{50}{2}=25$ Hence, the correct answer is 25.
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All J is Y. II. No X is Y. Conclusions: I. Some X is not Y. II. Some J is not X.
Option 1: Neither conclusion follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some X is not Y – From the Venn diagram, it is evident that there is a negative relation between
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