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Question : Vasco da Gama, a Portuguese explorer, discovered the sea route to India in_______________.
Option 1: 1488
Option 2: 1498
Option 3: 1508
Option 4: 1518
Correct Answer: 1498
Solution : The correct option is 1498.
Portuguese adventurer Vasco da Gama touched down in Calicut, now Kozhikode, India, on May 20, 1498. The first European to arrive by sea at India's profitable trading hubs was Vasco da Gama.
Question : Select the most appropriate meaning of the given idiom. Hold water
Option 1: A diluted argument.
Option 2: Appear to be of no value.
Option 3: Appear to be of less value.
Option 4: Appear to be valid or reasonable.
Correct Answer: Appear to be valid or reasonable.
Solution : The correct choice is the fourth option.
Explanation: When an argument or statement holds water, it means it is logical, valid, and can withstand scrutiny or criticism. It suggests that the argument or explanation is sound and reasonable.
Question : If $\operatorname{cosec} A+\cot A=a \sqrt{b}$, then find the value of $\frac{\left(a^2 b-1\right)}{\left(a^2 b+1\right)}$.
Option 1: $\cos A$
Option 2: $\tan A$
Option 3: $\frac{1}{\sin A}$
Option 4: $\frac{1}{\cot A}$
Correct Answer: $\cos A$
Solution : Consider, $\operatorname{cosec} A+\cot A=a \sqrt{b}$ Squaring both sides, we get, ⇒ $(\operatorname{cosec} A+\cot A)^2=a^2b$ ⇒ $\operatorname{cosec^2 }A+\cot^2A+2\operatorname{cosec} A\cot A = a^2b$ ⇒ $a^2b=\frac{1}{\sin^2 A}+\frac{\cos^2A}{\sin^2 A}+2\frac{1}{\sin A}\frac{\cos A}{\sin A}$ ⇒ $a^2b=\frac{1+\cos^2A+2\cos A}{\sin^2 A}$ ⇒ $a^2b=\frac{(1+\cos A)^2}{\sin^2A}$ ⇒ $a^2b=\frac{(1+\cos A)^2}{1-\cos^2A}$ [As $\cos^2A+\sin^2A=1$] ⇒ $a^2b=\frac{(1+\cos A)^2}{(1-\cos A)(1+\cos
Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The child was so spoiled by her indulgent parents that she became _____ when she did not receive all of their attention.
Option 1: sullen
Option 2: elated
Option 3: discreet
Option 4: suspicious
Correct Answer: sullen
Solution : The correct choice is the first option.
It means showing irritation or resentment by refusing to talk or cooperate. In the context of the sentence, it suggests that the child became unhappy or sulky when she didn't receive all of her parent's attention.
The
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
You have booked your seats for the next flight, have you?
Option 1: did you
Option 2: haven't you
Option 3: isn't it
Option 4: No substitution
Correct Answer: haven't you
Solution : The correct choice is the second option.
The original sentence is an affirmative statement followed by a question tag, which is "Have you?" To make it a negative question tag, you replace "Have you?" with "Haven't you?" This maintains the correct grammatical structure for
Question : Simplify the following. $\frac{3 a+b}{2}-\frac{a-3 b}{3}+2b$
Option 1: $\frac{5(a+3b)}{6}$
Option 2: $\frac{7a+3b}{6}$
Option 3: $\frac{7(a+3b)}{6}$
Option 4: $\frac{a+3b}{6}$
Correct Answer: $\frac{7(a+3b)}{6}$
Solution : Given: $\frac{3a+b}{2}-\frac{a-3b}{3}+2b$ = $\frac{9a+3b-(2a-6b)}{6}+2b$ = $\frac{7a+9b}{6}+2b$ = $\frac{7a+9b + 12b}{6}$ = $\frac{7a+21b }{6}$ = $\frac{7(a+3b) }{6}$ Hence, the correct answer is $\frac{7(a+3b) }{6}$.
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 38
Option 2: 39
Option 3: 40
Option 4: 41
Correct Answer: 41
Solution : Let's check the options – First option: 38; 38 is not a prime number. Second option: 39; 39 is not a prime number. Third option: 40; 40 is not a prime number. Fourth option: 41; 41 is a prime number.
So, the fourth option is
Question : Directions: In the following question, some statements are given followed by some conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follows from the given statements. Statements: 1. All roses are yellow. 2. Some roses are flowers. Conclusions: I. Some roses are yellow. II. All roses are flowers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some roses are yellow – Based on the given statements, it is given that all roses are yellow and some are the
Question : In a test consisting of 140 questions, a candidate correctly answered 70% of the first 80 questions. What percentage of the remaining questions does the candidate need to correctly answer to score 60% on the test?
Option 1: $35\%$
Option 2: $46 \frac{2}{3}\%$
Option 3: $45 \frac{1}{3}\%$
Option 4: $40\%$
Correct Answer: $46 \frac{2}{3}\%$
Solution : According to the question, Correctly answered in first 80 questions = 0.7 × 80 = 56 Remaining questions = 140 − 80 = 60 Target correct answers = 0.6 × 140 = 84 Now, Remaining correct answers needed = Target correct answers − Correctly
Question : Direction: Which one of the given responses is the meaningful order of the following?
1. Accommodation
2. Perception
3. Scheme formation
4. Assimilation
5. Sensation
Option 1: 1, 2, 3, 4, 5
Option 2: 5, 2, 3, 4, 1
Option 3: 5, 1, 4, 2, 3
Option 4: 5, 2, 4, 3, 1
Correct Answer: 5, 2, 4, 3, 1
Solution : Given:
The meaningful order is as follows –
Sensation → Perception → Assimilation → Scheme formation → Accommodation.
Therefore, the order is 5, 2, 4, 3, 1.
Hence, the
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