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Question : Two equal circles of radius 6 cm intersect each other such that each passes through the centre of the other. The length (in cm) of the common chord is:
Option 1: $5 \sqrt{3}$
Option 2: $6 \sqrt{3}$
Option 3: $4 \sqrt{3}$
Option 4: $3 \sqrt{3}$
Correct Answer: $6 \sqrt{3}$
Solution : Let the common chord AB bisect the distance between the centre XY at O. ⇒ XO = $\frac{\text{XY}}{2}$ = $\frac{6}{2}$ = 3 cm ⇒ AX = radius = 6 (The circles pass through each other’s centre) Now, in $\triangle XAO$ right angled at O
Question : Direction : In the following question, some parts of the sentences have errors and some are correct.Find out which part of a sentence has an error. The number of that part is the answer.If a sentence is free from error, your answer is No error.
The children are driving me to distraction today.
(1) No error
(2) distraction today.
(3) The children are
(4) driving me to
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : There's no error in this sentence. Therefore, the answer is the first option.
The sentence "The children are driving me to distraction today" is grammatically correct and conveys its meaning clearly that the children's behavior or actions are causing the speaker to become extremely agitated
Question : Given below are four sentences, three of which, are jumbled. Pick the option that gives the correct order.
A. It was originally commissioned by the emperor Ashoka in the 3rd century BCE. B. The brick structure was crowned by the chhatri, a parasol-like structure symbolising high rank, which was intended to honour and shelter the relics. C. The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian architecture. D. Its nucleus was a simple hemispherical brick structure built over the relics of the Buddha.
Option 1: CDAB
Option 2: CBAD
Option 3: CADB
Option 4: CBDA
Correct Answer: CADB
Solution : The correct choice is the third option: CADB.
The paragraph starts with sentence C, which introduces and sets the context by describing the significance of the Great Stupa at Sanchi, followed by sentence A, which provides historical information about the origin of
Question : The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the first ball with respect to the weight of the second ball?
Option 1: $46\frac{2}{3}$%
Option 2: $35$%
Option 3: $46\frac{1}{3}$%
Option 4: $45$%
Correct Answer: $46\frac{2}{3}$%
Solution : Given: The weights of two iron balls are 3.5 kg and 7.5 kg. Required percentage = $\frac{\text{weight of the first ball}}{\text{weight of the second ball}} × 100$% = $\frac{3.5}{7.5} × 100$ = $\frac{140}{3}$ = $46\frac{2}{3}$% Hence, the correct answer is $46\frac{2}{3}$%.
Question : The first lot of 33 declassified files relating to Netaji Subhas Chandra Bose was handed over by the Prime Minister’s Office (PMO) to the National Archives of India on 4 December ______.
Option 1: 2019
Option 2: 2018
Option 3: 2014
Option 4: 2015
Correct Answer: 2015
Solution : The correct answer is 2015
The initial batch of 33 files was handed over from the Prime Minister's Office to the National Archives of India on December 4, 2015, following a meeting with a delegation from Netaji's family at the Prime Minister's residence in New
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3), which may improve the sentence. Choose the correct alternative. In case, no improvement is needed, your answer is (4).
Granting that he has a very great influence, he cannot injure us.
(1) Having great influence
(2) He may have great influence so
(3) Because of his great influence
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct answer is the fourth option "No Improvement".
The phrase "Granting that he has a very great influence" effectively conveys the idea that even though the person being discussed here has a significant amount of influence, he cannot injure us. There is no grammatical
Question : What is the fiscal year period in India?
Option 1: 1st April of a year to 31st March of the next upcoming year.
Option 2: 1st April to 31st December of the same year.
Option 3: 1st January to 31st December of the same year.
Option 4: 1st January of a year to 31st December of the next upcoming year.
Correct Answer: 1st April of a year to 31st March of the next upcoming year.
Solution : The correct option is 1st April of a year to 31st March of the next upcoming year.
India follows the 1st April to 31st March fiscal year period. This period aligns with the
Question : Which of the following pairs is not correctly matched?
Option 1: Duck - cricket
Option 2: Blue line - badminton
Option 3: Deuce - tennis
Option 4: Free throw - volleyball
Correct Answer: Blue line - badminton
Solution : The correct answer is the Blue line - badminton.
The division of the attacking, defensive, and neutral zones into three sections is shown by the blue line on an ice hockey rink. The two blue lines, which serve as the boundaries
Question : The distance of a chord JK from the centre is 7 cm. If the diameter of this circle is 50 cm, then what will be the length of this chord?
Option 1: 74 cm
Option 2: 96 cm
Option 3: 48 cm
Option 4: 24 cm
Correct Answer: 48 cm
Solution : The radius of the circle is half the diameter. The radius = $\frac{50}{2}$ = 25 cm Let the length of the chord JK = $2x$ cm The distance from the centre of the circle to the chord = 7 cm The perpendicular from the
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. hello, lower, error, organ, analyse, ?
Option 1: night
Option 2: rapture
Option 3: senile
Option 4: watch
Correct Answer: senile
Solution : Given: hello, lower, error, organ, analyse, ?
The pattern usd here is that the next word is formed from the last two letters of the previous word. hello→lower→error→organ→analyse
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