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Question : Who has the power to abolish or create a legislative council in the state?
Option 1: Parliament
Option 2: High court of the concerned state
Option 3: President
Option 4: Chief minister of the concerned state
Correct Answer: Parliament
Solution : The correct answer is Parliament.
As per the provisions of Article 169 of the Indian Constitution, the State Legislative Council of a state may be established or dissolved by the Indian Parliament upon the passing of a resolution by the state legislature with a
Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 7
Correct Answer: 3
Solution : A six-digit number is divisible by 33. Let the number be $x$. So, that digit is also divided by the factor of 33, which is 3, 11. If 54 is added then the number will be $x + 54$. Factors of 54 are 2, 3,
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
I told the teacher (1) / that the homework set for the day (2) / was much too heavy for us to complete. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : There is no error in this sentence.
It may seem that there's an error in the third part of the sentence, but it is correct. ''Much too'' is followed by an adjective (heavy is an adjective), and ''too much'' is followed by a noun.
Question : If $x+\frac{1}{x}=9$, find $x^4+\frac{1}{x^4}$.
Option 1: 5431
Option 2: 6561
Option 3: 6156
Option 4: 6239
Correct Answer: 6239
Solution : Given: $x+\frac{1}{x} = 9$ Squaring both sides of the given equation, we get, $⇒(x+\frac{1}{x})^2 = 9^2$ $⇒(x^2+\frac{1}{x^2}+2) =81$ $⇒(x^2+\frac{1}{x^2}) = 79$ Again, squaring both sides of the above equation, we get, $⇒(x^2+\frac{1}{x^2})^2 = (79)^2$ $⇒(x^4+\frac{1}{x^4}+2) = 6241$ $⇒(x^4+\frac{1}{x^4}) = 6239$ Hence, the correct answer is
Question : The average of five consecutive odd numbers is 15. What is the smallest of these five numbers?
Option 1: 11
Option 2: 13
Option 3: 15
Option 4: 9
Correct Answer: 11
Solution : Let the first odd number be $x$, which is the smallest number. The rest of the consecutive odd numbers are $x+2$, $x+4$, $x+6$, $x+8$. Average = $\frac{x+x+2 + x+4 + x + 6 + x+8}{5}$ $⇒15 = \frac{5x+20}{5}$ $⇒75=5x+20$ $\therefore x = 11$ Hence, the
Question : Who has won the most individual gold Olympic medals?
Option 1: Simone Biles
Option 2: Katie Ledecky
Option 3: Usain Bolt
Option 4: Michael Phelps
Correct Answer: Michael Phelps
Solution : The correct answer is Michael Phelps.
Michael Phelps has won the most individual gold Olympic medals. He is an American swimmer. He is the most successful Olympian and has won 23 gold medals in swimming at the Olympics. At the 2008 Olympic Games
Question : Directions: The mean weight of 8 students is 57 kg. The weight of each student is 55 kg, 49 kg, 57 kg, 63 kg, 68 kg, 52 kg, X kg, and Y kg. What is the sum of X and Y?
Option 1: 116 kg
Option 2: 112 kg
Option 3: 110 kg
Option 4: 114 kg
Correct Answer: 112 kg
Solution : Given: The mean weight of 8 students = 57 kg
⇒The sum of the weight of 8 students = Mean weight of 8 students × number of students = 57 × 8 = 456 ⇒The sum of weight of each student = (55 +
Question : Directions: Seven people A, B, C, D, E, F, and G have different heights. A is taller than four other people. E is shorter than only one person. The height of how many people is between the height of A and E?
Option 1: 2
Option 2: 3
Option 3: 0
Option 4: 1
Correct Answer: 0
Solution : Given: (I) Seven people A, B, C, D, E, F, and G have different heights. A is taller than four other people. _ > _ > A > _> _> _> _ (II) E is shorter than only one person. _ > E > A
Question : Simplify $\frac{\cos 45^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$
Option 1: $\frac{3 \sqrt{2}+\sqrt{6}}{8}$
Option 2: $\frac{\sqrt{3}}{2 \sqrt{2}-2 \sqrt{6}}$
Option 3: $\frac{3 \sqrt{2}-\sqrt{6}}{8}$
Option 4: $\frac{\sqrt{3}}{2 \sqrt{6}-2 \sqrt{2}}$
Correct Answer: $\frac{3 \sqrt{2}-\sqrt{6}}{8}$
Solution : $\frac{\cos 45^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$ = $\frac{\frac{1}{\sqrt{2}}}{\frac{2}{\sqrt{3}}+2}$ = $\frac{\sqrt{3}}{2\sqrt{2}(\sqrt{3}+1)}$ = $\frac{\sqrt{3}}{2\sqrt{2}(\sqrt{3}+1)}\times\frac{\sqrt{2}(\sqrt{3}-1)}{\sqrt{2}(\sqrt{3}-1)}$ = $\frac{3 \sqrt{2}-\sqrt{6}}{8}$ Hence, the correct answer is $\frac{3 \sqrt{2}-\sqrt{6}}{8}$.
Question : Which of the following persons won the 'Best Female Debut' Award at the 2021 Paralympic Sports Awards 2021?
Option 1: Deepa Malik
Option 2: Bhavina Patel
Option 3: Avani Lekhara
Option 4: Mirabai Chanu
Correct Answer: Avani Lekhara
Solution : The correct answer is Avani Lekhara.
At the Tokyo Paralympics, Indian shooter Avani Lekhara took home the gold medal in the women's 10-metre air rifle shooting competition. She has captured the nation's first gold medal at the Paralympic Games in Tokyo.
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