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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".
Your son (will) have looked smart in a kurta.
(1) shall
(2) can
(3) would
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct choice.
This is because ''will'' should be replaced with ''would''. There is an error in the use of the modal verb. Modal verbs in the simple tense are always followed by the base form of the verb. Thus, in
Question : If $p: q$ is $4: 3$ and $q: r$ is $5 : 2$. Find $p: q: r$.
Option 1: 20 : 15 : 6
Option 2: 10 : 4 : 7
Option 3: 15 : 6 : 20
Option 4: 7 : 4 : 10
Correct Answer: 20 : 15 : 6
Solution : Given: $p: q$ is $4: 3$ and $q: r$ is $5 : 2$ $p:q=4:3=(4×5):(3×5)=20:15$ $q:r=5:2=(5×3):(2×3)=15:6$ So, $p:q:r=20:15:6$ Hence, the correct answer is 20 : 15 : 6.
Question : The value of the expression $\frac{(a-b)^{2}}{(b-c)(c-a)}+\frac{(b-c)^{2}}{(a-b)(c-a)}+\frac{(c-a)^{2}}{(a-b)(b-c)}$ is:
Option 1: $0$
Option 2: $3$
Option 3: $\frac{1}{3}$
Option 4: $2$
Correct Answer: $3$
Solution : Given: $\frac{(a-b)^{2}}{(b-c)(c-a)}+\frac{(b-c)^{2}}{(a-b)(c-a)}+\frac{(c-a)^{2}}{(a-b)(b-c)}$ Multiplying the numerator and denominator of each fraction by $(a-b)$, $(b-c)$ and $(c-a)$ respectively: $\frac{(a-b)^{2}×(a-b)}{(b-c)(c-a)(a-b)}+\frac{(b-c)^{2}(b-c)}{(a-b)(c-a)(b-c)}+\frac{(c-a)^{2}(c-a)}{(a-b)(b-c)(c-a)}$ = $\frac{(a-b)^{3}+(b-c)^{3}+(c-a)^{3}}{(a-b)(b-c)(c-a)}$ We know that $A^3+B^3+C^3=3ABC$ when $A + B + C = 0$ = ${\frac{3(a-b)(b-c)(c-a)}{(a-b)(b-c)(c-a)}}$ = $3$ Hence, the correct answer is $3$.
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The teacher accused Jeetu of ___ because she knew he could never write such an exceptional paper.
Option 1: borrowing
Option 2: plagiarism
Option 3: piracy
Option 4: theft
Correct Answer: plagiarism
Solution : The second option is the correct answer.
Plagiarism refers to the act of copying someone else's work and presenting it as one's own without proper permission, which fits perfectly in the sentence.
The meanings of the other options are as follows:
Question : Which of the following hypotheses was propounded by Harry Hammond Hess in 1962?
Option 1: Continental Drift hypothesis
Option 2: Seafloor spreading hypothesis
Option 3: Gaia hypothesis
Option 4: Geographical cycle hypothesis
Correct Answer: Seafloor spreading hypothesis
Solution : The correct answer is the Seafloor spreading hypothesis.
The hypothesis propounded by Harry Hammond Hess in 1962 is known as the "seafloor spreading" hypothesis. This groundbreaking idea suggested that the oceanic crust is constantly in motion, being created at mid-ocean ridges and then
Question : In the following sentence, four words are underlined, out of which one word is incorrectly spelt. Identify the INCORRECTLY spelt word. Traffic accidents are increasing steadily, and large cities are plaged by traffic congestion. Worst of all is the air pollution caused by internal combustion engine, uninterruptedly.
Option 1: plaged
Option 2: uninterruptedly
Option 3: congestion
Option 4: combustion
Correct Answer: plaged
Solution : The correct choice is the first option.
In the given sentence, the word plaged has an error. The correct spelling is plagued, which means afflicted or troubled by something, often used in the context of something persistent or annoying, like traffic congestion.
The
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 doctor advised Mr. Murugan that (1) / because of his severe cramps, (2) / he should lay in the bed for a few days. (3) / No error (4)
Solution : The error lies in the third part of the sentence.
Lay is not the correct verb to be used in this sentence, as it means to put something down. Lie should be used in place of lay as it means to be in a horizontal
Question : If $\sec \ A + \tan \ A = 3$, then $\cos \ A$ is equal to:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{3}{5}$
Solution : Given: $\sec\ A + \tan \ A = 3$ ---(1) We know, $\sec^2A-\tan^2A =1$ ⇒ $(\sec\ A - \tan \ A)(\sec \ A + \tan\ A) = 1$ ⇒ $(\sec\ A - \tan\ A) = \frac{1}{3}$ ---(2) On adding the equations 1 and 2, we
Question : Some words in the following sentence have been underlined and given as options. Select the option that contains a spelling error.
The rolling waves on the beach were so trainquil and soothing.
Option 1: beach
Option 2: trainquil
Option 3: soothing
Option 4: rolling
Correct Answer: trainquil
Solution : The correct choice is the second option.
The sentence contains a spelling error in the underlined word trainquil. The correct spelling for the intended word is tranquil, which means calm, peaceful, and free from disturbance.
Therefore, the correct sentence would be: The rolling
Question : In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of candidates who failed:
Option 1: 45%
Option 2: 45.5%
Option 3: 50%
Option 4: 54.5%
Correct Answer: 54.5%
Solution : Given: Total students = 1100 boys + 900 girls Total boys passed = 1100 × $\frac{50}{100}$ = 550 Total girls passed = 900 × $\frac{40}{100}$ = 360 Total students who pass = 550 + 360 = 910 Failed students = 2000 – 910 = 1090
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