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Question : A sentence has been given a blank to be filled with an appropriate option. Choose the correct alternative. I am looking forward to _______ you at our favourite restaurant.
Option 1: meets
Option 2: meet
Option 3: met
Option 4: meeting
Correct Answer: meeting
Solution : The correct choice is the fourth option.
When expressing anticipation or expectation, we commonly use the phrase looking forward to followed by a gerund (the -ing form of a verb). In this case, meeting is the gerund form of the verb, meet making it the
Question : In the first month, the income of Mohan increased by 30%. In the second month, his income decreased by 30%. What will be the percentage increase or decrease in the income after two months?
Option 1: 15% increase
Option 2: 9% increase
Option 3: 15% decrease
Option 4: 9% decrease
Correct Answer: 9% decrease
Solution : According to the question: In the first month, his income increased by 30%. In the second month, his income decreased by 30%. $\therefore$ Income of Mohan after 2 months = $30 +(-30) + \frac{30\times -(30)}{100} = - 9\%$ Hence, the correct answer is 9%
Question : Pramod Sawant took the oath as the Chief Minister of which state in March 2022?
Option 1: Maharashtra
Option 2: Goa
Option 3: Gujarat
Option 4: Karnataka
Correct Answer: Goa
Solution : The correct answer is Goa.
Pramod Sawant took the oath as the Chief Minister of Goa in March 2022. He took the oath as the CM of Goa for the second consecutive term. Pramod Sawant became the CM of Goa for the first time
Question : Select the option that can be used as a one-word substitute for the given group of words.
A person exhibiting excessive worry about one's health
Option 1: Intellectual
Option 2: Hypochondriac
Option 3: Megalomaniac
Option 4: Expert
Correct Answer: Hypochondriac
Solution : The correct choice is the second option.
A hypochondriac person is someone who continuously worries about his health without having any reason to do so. These people have a fear that they have a life-threatening illness, despite any symptoms.
Thus, it is the correct
Question : 'Maach' is the traditional theatre form of which Indian state?
Option 1: Madhya Pradesh
Option 2: Karnataka
Option 3: Nagaland
Option 4: Assam
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh.
Maach is the traditional form of folk theatre from the Malwa region in Madhya Pradesh. In this theatre form, songs are given importance in between the dialogues. Madhya Pradesh is in the middle of India and is
Question : A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss percent is:
Option 1: $12\frac{1}{2}\%$
Option 2:
$9\%$
Option 3:
$10\%$
Option 4:
$11\frac{1}{2}\%$
Correct Answer:
Solution : Let the selling price of one orange = Re. 1 The selling price of 36 oranges = Rs. 36 Loss on 36 oranges = Rs. 4 The cost price of 36 oranges = 36 + 4 = Rs. 40 Loss percentage = $\frac{\text{Loss}}{\text {Cost Price}}$
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. B can be represented by 01, 10, 22, etc, and F can be represented by 55, 76, 86, etc. Similarly, you have to identify the set for the given word - CAGE. Matrix I
Matrix II
Option 1: 95, 82, 31,14
Option 2: 20, 00, 65, 40
Option 3: 14, 20, 41, 86
Option 4: 00, 21, 41, 95
Correct Answer: 20, 00, 65, 40
Solution : Given: CAGE
Number representations of each letter – C→02, 11, 20, 31, 43 A→00, 14, 23, 34, 42 G→56, 65, 77, 87, 97 E→04, 13, 24, 33, 40
First option: 95, 82, 31,14; C, A, G, and E cannot be represented as
Question : If $\cos A+\cos^2 A=1$, then the value of $\sin^4 A+\sin^6 A$ is:
Option 1: $2$
Option 2: $\cos \mathrm{A}$
Option 3: $1$
Option 4: $\sin A$
Correct Answer: $\cos \mathrm{A}$
Solution : Given: $\cos A+\cos^2 A=1$ ⇒ $\cos A=1 - \cos^2 A$ ⇒ $\cos A= \sin^2 A$ Squaring both sides, ⇒ $\cos^2 A= \sin^4 A$ ⇒ $1-\sin^2 A= \sin^4 A$ Multiplying both sides by $\sin^2 A$, $\sin^2 A-\sin^4 A=\sin^6 A$ ⇒ $\sin^2 A=\sin^6 A+\sin^4 A$ ⇒
Question : If $x^2-8x+1=0$, what is the value of $(x^2+\frac{1}{x^2})$?
Option 1: $18$
Option 2: $34$
Option 3: $40$
Option 4: $62$
Correct Answer: $62$
Solution : Given: $x^2-8x+1=0$ Dividing both sides by $x$, we get, $⇒x-8+\frac{1}{x}=0$ $⇒x+\frac{1}{x}=8$ Squaring both sides, we get, $⇒(x+\frac{1}{x})^2=8^2$ $⇒x^2+\frac{1}{x^2}+2=64$ $\therefore x^2+\frac{1}{x^2}=64-2=62$ Hence, the correct answer is $62$.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 27, 32, 42, 57, 77, 102, 132, ?
Option 1: 172
Option 2: 167
Option 3: 149
Option 4: 158
Correct Answer: 167
Solution : Given: 27, 32, 42, 57, 77, 102, 132, ?
In the above-given series, add multiples of 5 to the previous number to get the next number. 27 + 5 = 32, 32 + 10 = 42, 42 + 15 = 57, 57 + 20 =
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