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Question : Directions: What should come in place of (?) in the given series? 12, 15, 20, 27, 38, ?
Option 1: 52
Option 2: 47
Option 3: 51
Option 4: 49
Correct Answer: 51
Solution : Given: 12, 15, 20, 27, 38, ?
Add the consecutive prime numbers (starting from 3) to the previous term to obtain the next term. 12 + 3 = 15; 15 + 5 = 20; 20 + 7 = 27; 27 + 11 = 38; 38
Question : The first English factory was set up on the banks of the river Hugli in ______.
Option 1: 1645
Option 2: 1651
Option 3: 1648
Option 4: 1640
Correct Answer: 1651
Solution : The correct option is 1651.
The first English factory in India was established on the banks of the river Hugli in 1651 at Hugli (now Haldia), West Bengal. This marked the beginning of the British East India Company's trade in India, eventually leading to
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. This book (1) _ writing practice to pre-schoolers to help them learn to write (2) _ of the English alphabet. Directional arrows, (3) _ with the letters and numbers, guide children in writing. (4) _ and copying activities encourage children to read and write letters and numbers (5) _ to count.
Select the most appropriate option to fill in the blank no 2.
Option 1: letter
Option 2: letters
Option 3: phrases
Option 4: words
Correct Answer: letters
Solution : The correct choice is the second option.
The most appropriate option to fill in the blank is letters, as the sentence discusses writing practice for pre-schoolers to help them learn to write. Specifically, the focus is on the English alphabet. Since the English
Question : Who among the following cricketers won the 2019 Sir Garfield Sobers Trophy for the ICC Player of the Year, announced in January 2020?
Option 1: Rohit Sharma
Option 2: Pat Cummins
Option 3: Ben Stokes
Option 4: . Virat Kohli
Correct Answer: Ben Stokes
Solution : The correct answer is Ben Stokes.
Ben Stokes won the 2019 Sir Garfield Sobers Trophy for the ICC Player of the Year, which was announced in January 2020. The Sir Garfield Sobers Trophy is associated with cricket, and it is given annually by
Question : The marked price of a pen is Rs. 5000. The shopkeeper gives two successive discounts of 15 percent and b percent to the customer. If the customer pays Rs. 4080 for the pen, then what is the value of b?
Option 1: 3 percent
Option 2: 5 percent
Option 3: 7.5 percent
Option 4: 4 percent
Correct Answer: 4 percent
Solution : We know, For two successive discounts, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price $⇒4080=\frac{100-15}{100}×\frac{100-b}{100}×5000$ $⇒4080=\frac{17}{20}×\frac{100-b}{100}×5000$ $⇒24×4=(100-b)$ $\therefore b=4\%$ Hence, the correct answer is 4 percent.
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) We have done everything (Q) that could be done (R) to avert the storm which is now coming on. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
"We have done" should be replaced with "we did" to emphasise the tense consistency action, indicating that everything was done to avert the storm.
The sentence should be: "We had done everything that could be done to
Question : Directions: Count the number of triangles in the following figure.
Option 1: 27
Option 2: 23
Option 3: 29
Option 4: 31
Correct Answer: 29
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 29 triangles. They are ADB, BDC, ADC, CMD, CML, LME, DME, CDE, CEL, DEL, CDL, EFL, FGL, EGL, GLN, KLN, KNH, GHN, GHL, GHK, GKL,
Question : The Indian Constitution borrowed the "Procedure of Amending the Constitution" from the constitution of __________.
Option 1: France
Option 2: South Africa
Option 3: United Kingdom
Option 4: Australia
Correct Answer: South Africa
Solution : The correct answer is South Africa.
The competence of Parliament to modify the Constitution and its procedures is covered in Article 368 of Part XX of the Constitution. It declares that the Parliament may add to, change, or remove any provision from the
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.
All teachers agree that Paresh is the __________ intelligent boy in his class.
Option 1: more
Option 2: most
Option 3: very
Option 4: only
Correct Answer: most
Explanation:
Most intelligent is the superlative form, indicating that Paresh is the most intelligent boy in his class, and it doesn't require a comparison with other students.
Therefore, the complete sentence is: All teachers agree that Paresh
Question : If $k^4+\frac{1}{k^4}=47$, then what is the value of $k^3+\frac{1}{k^3}$?
Option 1: 4.5
Option 2: 54
Option 3: 18
Option 4: 9
Correct Answer: 18
Solution : Given, $k^4+\frac{1}{k^4}=47$ Adding 2 on both sides, ⇒ $k^4+\frac{1}{k^4}+2=47+2$ ⇒ $(k^2)^2+\frac{1}{(k^2)^2}+2\times k^2\times \frac{1}{k^2}=49$ ⇒ $(k^2+\frac{1}{k^2})^2=49$ ⇒ $k^2+\frac{1}{k^2}=7$ Again adding 2 on both sides, $k^2+\frac{1}{k^2}+2=7+2$ ⇒ $(k+\frac{1}{k})^2=9$ ⇒ $k+\frac{1}{k}=3$ cubing both sides, we get, ⇒ $k^3+\frac{1}{k^3}+3×k\times \frac{1}{k}(k+\frac{1}{k})=27$ ⇒ $k^3+\frac{1}{k^3}+3×3=27$ $\therefore k^3+\frac{1}{k^3}=27-9=18$ Hence, the correct answer is
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