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Question : If $y$ is an integer, then $(y^{3}-y)$ is always multiple of _____.
Option 1: 5
Option 2: 7
Option 3: 9
Option 4: 6
Correct Answer: 6
Solution : $y^{3}-y=y(y^{2}-1)=y(y-1)(y+1)$ This product includes three consecutive integers: $y-1$, $y$, and $y+1$ In any set of three consecutive integers, at least one number is always a multiple of 3 and one is always even. Hence, the correct answer is 6.
Question : Which law was based on notes of the music?
Option 1: Newton law
Option 2: Law of octaves
Option 3: Mendeleev law
Option 4: Modern periodic law
Correct Answer: Law of octaves
Solution : The correct option is the Law of octaves.
The "Law of Octaves" in the context of chemistry was a concept that drew an analogy to the musical scale. In the Law of Octaves, Mendeleev noted that when elements were arranged by increasing
Question : The circumference of the two circles is 308 cm and 440 cm, respectively. What is the difference between their radii?
Option 1: 21 cm
Option 2: 49 cm
Option 3: 35 cm
Option 4: 14 cm
Correct Answer: 21 cm
Solution : Let the radius of the first circle be $r_1$. Circumference of the first circle $=2\pi r{_1}$ ⇒ $308 = 2×\frac{22}{7}×r{_1}$ ⇒ $r_1$ = 49 cm Let the radius of the 2nd circle be $r_2$. Circumference of the 2nd circle $=2\pi r{_2}$ ⇒ $440 =
Question : Which amendment in the Indian Constitution is related to the extension of jurisdiction of high courts to union territories?
Option 1: 9th Amendment
Option 2: 7th Amendment
Option 3: 1st Amendment
Option 4: 13th Amendment
Correct Answer: 7th Amendment
Solution : The correct answer is the 7th Amendment.
According to the 7th Amendment Act of 1956, Parliament was given the authorisation to establish a common High Court for two or more states and/or a union territory. An example of this is the states of
Question : Panda belongs to the same family as that of
Option 1: Kangaroo
Option 2: Porcupine
Option 3: Whale
Option 4: Bear
Correct Answer: Bear
Solution : The correct option is Bear.
Giant pandas (scientifically known as Ailuropoda melanoleuca) are members of the Ursidae family, also known as the bear family. Giant pandas are related to these other bear species and were originally categorised as members of the bear family based on
Question : Directions: In the following question, some parts of the sentence 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".
Africa is the second largest continent (1) / and it contain about one fifth (2) / of all the land in the world. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
"Africa" is the subject, and it is singular. Therefore, the correct verb form to use is "contains", which is the third-person singular form of the verb (i.e. verb ending in -s in the simple present tense).
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 4, 12, 48, 240, 1440, ?
Option 1: 7620
Option 2: 10080
Option 3: 6200
Option 4: 10020
Correct Answer: 10080
Solution : Given: 4, 12, 48, 240, 1440, ?
Multiply the numbers of the given series by consecutive natural numbers starting from 3. 4 × 3 = 12; 12 × 4 = 48; 48 × 5 = 240; 240 × 6 = 1440; 1440 × 7 =
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).
A thing of beauty is joy forever.
(1) Is the joy
(2) Is joyous
(3) Is a joy
(4) No Improvement
Correct Answer: (3)
Solution : The correct choice is the third option.
The sentence "A thing of beauty is a joy forever", is a well-known and grammatically correct quotation from John Keats' poem Endymion. It conveys the idea that beautiful things bring lasting joy.
The phrase "is a
Question : In Kheda, Gujarat, Patidar peasants organised non-violent campaigns against which of the following demands of the British?
Option 1: Low labour rates
Option 2: Long working hours
Option 3: High land revenue
Option 4: Low price for crops
Correct Answer: High land revenue
Solution : The correct answer is High land revenue.
In Kheda, Gujarat, Patidar peasants organised non-violent campaigns against the high land revenue rates. In 1918, there was a severe drought and crop failure and the peasants were not able to pay the taxes, but
Question : Directions: In each of the following questions select the related figure from the given alternatives.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Given: According to the question figure the geometrical shape/ symbols are moved as follows – From Figure One to Figure Two: Top left → top right, Top right → Bottom right, Bottom right → Bottom left, Bottom left → Top left
By following the same pattern
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