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Question : If $\frac{3–5x}{2x}+\frac{3–5y}{2y}+\frac{3–5z}{2z}=0$, the value of $\frac{2}{x}+\frac{2}{y}+\frac{2}{z}$ is:
Option 1: 20
Option 2: 5
Option 3: 10
Option 4: 15
Correct Answer: 10
Solution : Given: $\frac{3–5x}{2x}+\frac{3–5y}{2y}+\frac{3–5z}{2z}=0$ ⇒ $\frac{3}{2x}–\frac{5x}{2x}+\frac{3}{2y}–\frac{5y}{2y}+\frac{3}{2z}–\frac{5z}{2z}=0$ ⇒ $\frac{3}{2x}+\frac{3}{2y}+\frac{3}{2z}–\frac{5x}{2x}–\frac{5y}{2y}–\frac{5z}{2z}=0$ ⇒ $\frac{3}{2}(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})–\frac{5}{2}–\frac{5}{2}–\frac{5}{2}=0$ ⇒ $\frac{3}{2}(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})=\frac{5}{2}+\frac{5}{2}+\frac{5}{2}$ ⇒ $(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})=\frac{15}{2}×\frac{2}{3}$ ⇒ $2(\frac{1}{x}+\frac{1}{y}+\frac{1}{z})=\frac{15}{2}×\frac{2}{3}×2$ ⇒ $\frac{2}{x}+\frac{2}{y}+\frac{2}{z}=10$ Hence, the correct answer is 10.
Question : Direction: Find out the wrong number in the given sequence.
102, 101, 98, 93, 86, 74, 66, 53
Option 1: 101
Option 2: 66
Option 3: 74
Option 4: 93
Correct Answer: 74
Solution : Given:
Let's find the difference between the numbers →
102 – 101 = 1
101 – 98 = 3
98 – 93 = 5
93 – 86 = 7
86 – 74 = 12
74 – 66
Question : Tusu is a harvest festival celebrated in Jharkhand during the winter on the last day of the month _____.
Option 1: Phalguna
Option 2: Chaitra
Option 3: Magha
Option 4: Poush
Correct Answer: Poush
Solution : The correct option is Poush.
The state of Jharkhand celebrates Tusu, a harvest celebration. It is celebrated in the winter and usually falls on the last day of the Hindu month of Poush, which is almost equivalent to December on the Gregorian calendar. The
Question : Who presided over the first Session of the Indian National Congress?
Option 1: Allan Octavian Hume
Option 2: Womesh Chunder Bonnerjee
Option 3: Surendra Nath Banerjee
Option 4: Badruddin Tyabji
Correct Answer: Womesh Chunder Bonnerjee
Solution : The correct answer is Womesh Chunder Bonnerjee.
He presided over the first session of the Indian National Congress (INC) in Bombay from December 28 to December 31, 1885. Each Indian province sent 72 representatives to the INC First Session. The INC's first session
Question : Name the only Female Muslim ruler of India.
Option 1: Khawla bint al-Azwar
Option 2: Khadija
Option 3: Razia Sultan
Option 4: Nusaybah bint Ka'ab
Correct Answer: Razia Sultan
Solution : The correct option is Razia Sultana.
The only female Muslim ruler of India was Razia Sultana. She ascended to the throne of the Delhi Sultanate in 1236, breaking gender norms. Razia was known for her intelligence and administrative skills but faced opposition from
Question : If $9x^2+16y^2=60$ and $3x+4y=6$, then the value of $xy$ is:
Option 1: –1
Option 2: 1
Option 3: –2
Option 4: 2
Correct Answer: –1
Solution : Given: $9x^2+16y^2=60$ and $3x+4y=6$ $3x+4y=6$ Squaring both sides of the above expression, we get, ⇒ $(3x+4y)^2=6^2$ ⇒ $9x^2+16y^2+24xy=36$ Substitute the value of $9x^2+16y^2=60$ in the above expression, we get, $60+24xy=36$ ⇒ $24xy=36-60$ ⇒ $24xy=–24$ ⇒ $xy=–1$ Hence, the correct answer is –1.
Question : Select the most appropriate option to fill in the blank. They are playing songs so _____ that the entire neighbourhood is disturbed.
Option 1: lord
Option 2: loved
Option 3: laud
Option 4: loud
Correct Answer: loud
Solution : The correct choice is the fourth option.
Loud is an adverb used informally that means 'producing or capable of producing much noise.' It provides accurate meaning to the sentence, as the songs are too loud.
The meanings of the other options are as follows:
Lord:
Question : Select the option that expresses the given sentence in passive voice. Each member of the literary club submitted various literary works for the magazine.
Option 1: Various literary works had been submitted by each member of the literary club for the magazine.
Option 2: Various literary works are submitted by each member of the literary club for the magazine.
Option 3: Various literary works were submitted by each member of the literary club for the magazine.
Option 4: Various literary works were being submitted by each member of the literary club for the magazine.
Correct Answer: Various literary works were submitted by each member of the literary club for the magazine.
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
It is nothing but pride.
Option 1: nothing ever
Option 2: nothing else
Option 3: nothing seldom
Option 4: nothing so
Correct Answer: nothing else
Solution : The correct answer is the second option.
It is the most appropriate substitution for the underlined segment in the sentence.
"Nothing else" encapsulates the idea that there is nothing other than pride in this scenario.
Therefore, the correct sentence is: It is nothing else
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (Rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the second option figure.
Hence, the second option is correct.
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