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Question : Select the sentence that has a spelling error. A- The art of living is learnt easily by those who are positive and optimistic. B- We can learn a lot about the art of living by having a peek into the lives of great men. C- The daily routines of these great men disseminate that they are different. D- Their unique lifestyles help us learn certain habits and practices that they follow.
Option 1: The daily routines of these great men dissiminate that they are different
Option 2: Their unique lifestyles help us learn certain habits and practices that they followed.
Option 3: We can learn a lot about the art of living by having a peek into the lives of great men.
Option 4: The art of living is learnt easily by those who are positive and optimistic.
Correct Answer: The daily routines of these great men dissiminate that they are different
Solution : The correct choice is the first option.
The correct spelling is disseminate, as it means to spread or distribute something, such as information, knowledge, ideas, or news, widely among a group of people or
Question : If $2x+\frac{1}{4x}=1$, then the value of $x^{2}+\frac{1}{64x^{2}}$ is:
Option 1: $0$
Option 2: $1$
Option 3: $\frac{1}{4}$
Option 4: $2$
Correct Answer: $0$
Solution : Given: $2x+\frac{1}{4x}=1$ Dividing by 2 on both sides, ⇒ $x+\frac{1}{8x}=\frac{1}{2}$ ----------------------------------(i) Now, $x^{2}+\frac{1}{64x^{2}}=(x+\frac{1}{8x})^2$ – $2×x×\frac{1}{8x}$ Substituting the values, we get ⇒ $x^{2}+\frac{1}{64x^{2}}=(\frac{1}{2})^2$ – $\frac{1}{4}$ ⇒ $x^{2}+\frac{1}{64x^{2}}= 0$ Hence, the correct answer is $0$.
Question : Directions: In the following question, some parts of the sentence may have 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".
Mrs.Gupta invited (1) / all her daughter-in-laws (2) / to the grand party last Sunday. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
There is an error in the use of the plural form of the noun in the sentence. The compound noun daughter-in-laws should be replaced with daughters-in-law to convey the intended meaning that Mrs Gupta invited all of her
Question : If $\sqrt5=2.236$, then what is the value of $\frac{\sqrt5}{2}+\frac{5}{3\sqrt5}-\sqrt{45}$?
Option 1: – 8.571
Option 2: – 4.845
Option 3: – 2.987
Option 4: – 6.261
Correct Answer: – 4.845
Solution : Given: $\sqrt{5} = 2.236$ $\frac{\sqrt{5}}{2} + \frac{5}{3\sqrt{5}} - \sqrt{45}$ Now evaluate the equation, = $ \frac{\sqrt{5}\times3\sqrt{5} + 5\times2-3\sqrt{5}\times2\times3\sqrt{5}}{2\times3\sqrt{5}}$ = $ \frac{15 + 10 - 90}{2\times3\sqrt{5}}$ = $ -\frac{65}{2\times3\sqrt{5}}$ Rationalising the fraction = $ -\frac{65\sqrt{5}}{30}$ Put the value of $\sqrt{5} = 2.236$ = $-\frac{65\times 2.236}{30}
Question : Three brothers divided Rs. 1620 among themselves so that the share of the second equals $\frac{5}{13}$th of the other two combined shares. What is the share of the second one?
Option 1: Rs. 1170
Option 2: Rs. 450
Option 3: Rs. 540
Option 4: Rs. 500
Correct Answer: Rs. 450
Solution : Let the shares of the three brothers be A, B, and C. The ratio of B's share to the combined shares of A and C = 5 : 13 So, B's share $=\frac{5}{5+13}\times 1620 = 450$ Hence, the correct answer is Rs. 450.
Question : If $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$, then the value of $\cos^{2}\theta$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{\sqrt{3}}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{3}{4}$
Solution : Given: $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$ ⇒ $\sin(\theta+30^{\circ})=\frac{\sqrt{3}}{2}$ ⇒ $\sin(\theta+30^{\circ})=\sin(60^{\circ})$ ⇒ $\theta+30^{\circ}=60^{\circ}$ ⇒ $\theta=30^{\circ}$ Substituting $\theta=30^{\circ}$, we get, $\cos^{2}\theta=\cos^{2}(30^{\circ})=(\frac{\sqrt3}{2})^{2}=\frac{3}{4}$ Hence, the correct answer is $\frac{3}{4}$.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Anger is the most dangerous (1) _______as we lose control of (2) _________when in its grip. The (3) _________of such behaviour can be severe. The first (4) _________of anger is that harsh words may (5) __________the other person deeply. Many relationships are affected (6) __________because of anger, which may cause (7) __________and hatred. What are we (8) ___________from anger? Nothing. It can disturb the people (9) __________you. Anger may become your biggest weakness, and you may be (10) __________others to take advantage of it.
Question: Select the most appropriate option to fill in the blank No. 3.
Option 1: beginnings
Option 2: sources
Option 3: consequences
Option 4: roots
Correct Answer: consequences
Solution : The correct choice is the third option.
Explanation: In this context, the sentence is discussing the negative effects or outcomes of anger. The word that fits most appropriately is consequences. The phrase "the consequences of such behaviour can be severe" suggests that the
Question : Directions: In the given question, select the related letter from the given alternatives.
BJCI : JBIC :: CXDW : ?
Option 1: JCDU
Option 2: BCJU
Option 3: EVFU
Option 4: XCWD
Correct Answer: XCWD
Solution : Given:
Here, the letters have swapped their positions,
B ⇔ J ; C ⇔ I
Similarly, in the second pair,
C ⇔ X ; D ⇔ W
Therefore, the related letter cluster is XCWD
Hence, the fourth option
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
When I lived in Kanpur, I (was going) for a movie once a week.
(1) used to go
(2) had gone
(3) went
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
While addressing the assembly, the officer said, "It was a tit-for-tat action involving selected targeting, such actions do not last very long."
Correct Answer: 3
Explanation: When we use a noun like "targeting", it's common to use an adjective to modify and provide more specific information about the type or nature of the targeting. In this context, "selective" is the appropriate adjective,
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