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Question : Select the most appropriate ANTONYM of the given word. Stationary
Option 1: Moving
Option 2: Immobile
Option 3: Permanent
Option 4: Stable
Correct Answer: Moving
Solution : The correct word will be the first option.
The word stationary denotes not moving. The antonym moving means to move something further in a particular direction in order to make space for somebody or something else.
The meanings of the other words are:
Question : If 5x + 3y = 15 and 2xy = 6, then the value of 5x – 3y is:
Option 1: $3\sqrt{3}$
Option 2: $3\sqrt{5}$
Option 3: $3\sqrt{2}$
Option 4: $3\sqrt{4}$
Correct Answer: $3\sqrt{5}$
Solution : Given: 2xy = 6 ⇒ xy = 3 5x + 3y = 15 Squaring both sides, ⇒ 25x2 + 9y2 + 30xy = 225 Subtracting 60xy from both sides, we get, ⇒ 25x2 + 9y2 – 30xy = 225 – 60xy
Question : If $a+b+c=3$ and none of $a,b$ and $c$ is equal to $1$, what is the value of $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}?$
Option 1: 0
Option 2: 1
Option 3: 3
Option 4: 6
Correct Answer: 0
Solution : Given: $a+b+c=3$ and none of $a, b$ and $c$ is equal to 1. $\frac{1}{(1-a)(1-b)}+\frac{1}{(1-b)(1-c)}+\frac{1}{(1-c)(1-a)}$ = $\frac{1-c+1-b+1-c}{(1-a)(1-b)(1-c)}$ = $\frac{3-(a+b+c)}{(1-a)(1-b)(1-c)}$ = $\frac{3-3}{(1-a)(1-b)(1-c)}$ = $\frac{0}{(1-a)(1-b)(1-c)}$ = $0$ Hence, the correct answer is 0.
Question : If $\sin 2\theta=\frac{\sqrt{3}}{2}$, then the value of $\sin 3\theta$ is equal to $(0^{\circ}\leq \theta\leq 90^{\circ})$:
Option 1: $\frac{1}{2}$
Option 2: $1$
Option 3: $0$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $1$
Solution : $\sin 2\theta=\frac{\sqrt{3}}{2}=\sin 60^{\circ}$ $⇒2\theta = 60^{\circ}$ $⇒\theta = 30^{\circ}$ We know that, $\sin 3\theta = \sin 90^{\circ} = 1$ Hence, the correct answer is $1$.
Question : Who among the following Indian Grandmasters defeated the world number one Magnus Carlsen and became the FTX Crypto Cup 2022 runner-up?
Option 1: Saketh Myneni
Option 2: Vishwanathan Anand
Option 3: R Praggnanandhaa
Option 4: P. Harikrishna
Correct Answer: R Praggnanandhaa
Solution : The correct option is R Praggnanandhaa.
R Praggnanandhaa, the Indian Grandmaster, defeated Magnus Carlsen in the FTX Crypto Cup 2022, securing the runner-up position. Praggnanandhaa had previously triumphed over Carlsen twice in 2022. In the Tata Steel Chess Tournament 2023, he achieved his first
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (9, 20, 31) (38, 49, 60)
Option 1: (63, 60, 65)
Option 2: (15, 20, 31)
Option 3: (25, 69, 45)
Option 4: (14, 24, 34)
Correct Answer: (14, 24, 34)
Solution : Given: (9, 20, 31); (38, 49, 60)
Here, (9, 20, 31)→(20 – 9) + 20 = 11 + 20 = 31 (38, 49, 60)→(49 – 38) + 49 = 11 + 49 = 60
Let's check the options – First option: (63,
Question : Earth's core is mainly made up of _____________.
Option 1: nickel and copper
Option 2: nickel and alumina
Option 3: nickel and iron
Option 4: nickel and magnesium
Correct Answer: nickel and iron
Solution : The correct answer is nickel and iron.
The earth's core is mainly made up of nickel and iron. It is composed of two layers: the outer core and the inner core. The outer core is in a liquid state, while the inner core
Question : Abdul Karim Khan and Abdul Wahid Khan were the founders of the ________ Gharana.
Option 1: Jaipur - Atrauli
Option 2: Gwalior
Option 3: Agra
Option 4: Kirana
Correct Answer: Kirana
Solution : The correct option is Kirana.
Abdul Karim Khan and Abdul Wahid Khan were the founders of the Kirana Gharana. It is a renowned school of classical Indian music known for its distinctive style characterised by intricate note patterns and emphasis on the purity of
Question : Which articles of the Indian Constitution describe Fundamental Rights?
Option 1: Articles 5 to 11
Option 2: Articles 12 to 35
Option 3: Articles 36 to 51
Option 4: Articles 52 to 62
Correct Answer: Articles 12 to 35
Solution : The correct answer is Articles 12 to 35.
The Constitution ensures essential freedoms for all citizens, individually and collectively, through six categories of justifiable Fundamental Rights, detailed in Articles 12 to 35. These encompass the Right to Equality, including before the
Question : After the Revolt of 1857 was put down by Britishers, which Mughal ruler was forced to leave the country?
Option 1: Bahadur Shah Zafar
Option 2: Farrukhsiyar
Option 3: Ahmad Shah Bahadur
Option 4: Muhammad Shah
Correct Answer: Bahadur Shah Zafar
Solution : The correct option is Bahadur Shah Zafar.
Bahadur Shah Zafar was the 20th and last Mughal Emperor of India. He was also a famous Urdu poet. He was well known for his contribution to the Revolt of 1857. He was sent to
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