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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".
According to scientists (1) /, there are a lot of (2) / answers about it. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The preposition "to" is needed after "answers" to correctly convey the idea that there are many answers related to the topic. The preposition "about" doesn't convey the intended meaning of the sentence. In this context,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (15, 9, 4); (7, 2, 3)
Option 1: (21, 12, 6)
Option 2: (19, 13, 4)
Option 3: (24, 9, 11)
Option 4: (18, 7, 7)
Correct Answer: (19, 13, 4)
Solution : Given: (15, 9, 4); (7, 2, 3)
Here, (15, 9, 4)→(9 + 4) + 2 = 13 + 2 = 15 (7, 2, 3)→(2 + 3) + 2 = 5 + 2 = 7
Let's check the options – First option: (21, 12,
Question : Select the INCORRECTLY spelt word.
Option 1: audible
Option 2: austere
Option 3: authority
Option 4: audiance
Correct Answer: audiance
Solution : The misspelt word is the fourth option.
"Audience" is the correct spelling, and it is used to describe the group of people together in one place to watch or listen to a play, or film.
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error.' Fires in California is sounding alarm bells that cannot be ignored.
Option 1: sounding alarm bells
Option 2: that cannot be ignored
Option 3: fires in California is
Option 4: no error
Correct Answer: fires in California is
Solution : The error lies in the third option.
The subject fires is plural, so the verb should also be plural to maintain subject-verb agreement. In the original sentence, is (singular) is used instead of are (plural). The corrected version ensures subject-verb agreement by
Question : If $a+b+c=0$, the value of $\frac{a^2+b^2+c^2}{a^2-bc}$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $a+b+c=0$ $\therefore b+c=-a$ Now, $a+b+c=0$ By squaring both sides, we get, $(a+b+c)^2=0$ ⇒ $a^2+b^2+c^2+2(ab+bc+ca)=0$ ⇒ $a^2+b^2+c^2+2[a(b+c)+bc]=0$ ⇒ $a^2+b^2+c^2+2[a(-a)+bc]=0$ ⇒ $a^2+b^2+c^2-2[a^2-bc]=0$ ⇒ $a^2+b^2+c^2=2[a^2-bc]$ $\therefore\frac{a^2+b^2+c^2}{a^2-bc}=2$ Hence, the correct answer is $2$.
Question : Directions: Select the related letter cluster from the given alternatives. VVXY : RRTU :: FFHI : ?
Option 1: XXYB
Option 2: CCDF
Option 3: UUVZ
Option 4: BBDE
Correct Answer: BBDE
Solution : Given: VVXY : RRTU :: FFHI : ?
Subtract 4 from the place value of each letter of VVXY to obtain the required code – V – 4 = R; V – 4 = R; X – 4 = T; Y – 4 = U
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
This palace (has been belonging) to our family since generations.
(1) has belonging
(2) has belonged
(3) belonged
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Solution : The correct improvement for the sentence is: has belonged.
Explanation: The original phrase "has been belonging" is not grammatically correct in this context. When expressing ownership or possession that has continued over a period of time, we typically use the present perfect tense. "Has belonged"
Question : Select the most appropriate meaning of the given idiom.
Cutting corners.
Option 1: To take the long way around.
Option 2: To do something quickly or cheaply, often at the expense of quality or safety.
Option 3: To follow the rules strictly.
Option 4: To be honest and fair.
Correct Answer: To do something quickly or cheaply, often at the expense of quality or safety.
Solution : The correct choice is the second option.
The idiom, cutting corners means to do something in the easiest, quickest, or cheapest way, often sacrificing quality or thoroughness.
Question : If $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}, \theta$ lies in first quadrant, then the value of $\frac{\operatorname{cosec} \theta+\cot ^2 \theta}{\operatorname{cosec} \theta-\cot ^2 \theta}$ is:
Option 1: $\frac{19}{5}$
Option 2: $\frac{22}{3}$
Option 3: $\frac{37}{12}$
Option 4: $\frac{37}{19}$
Correct Answer: $\frac{19}{5}$
Solution : $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}$ Using the identity $\sec \theta = \frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$, $\frac{\frac{1}{cos\theta}-\frac{\sin \theta}{\cos \theta}}{\frac{1}{cos\theta}+\frac{\sin\theta}{\cos\theta}}=\frac{1}{7}$ $⇒\frac{1-\sin \theta}{1+\sin \theta}=\frac{1}{7}$ On applying componendo and dividendo, $⇒\sin \theta = \frac{3}{4}$ Using the identity $\sin^2 \theta + \cos^2 \theta = 1$,
Question : Choose the sentence with no spelling errors.
Option 1: I am willing to consider the possibility
Option 2: I am willing to considerr the possibility
Option 3: I am wiling to consider the posibility
Option 4: I am willing to consider the posibility.
Correct Answer: I am willing to consider the possibility
Solution : The correct choice is the first option.
The Question containing Inaapropriate or Abusive Words
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