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11 Views

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

Team Careers360 17th Jan, 2024

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

369 Views

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

Team Careers360 23rd Jan, 2024

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,

18 Views

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

Team Careers360 25th Jan, 2024

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

32 Views

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

Team Careers360 18th Jan, 2024

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

13 Views

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

Team Careers360 19th Jan, 2024

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

9 Views

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

Team Careers360 18th Jan, 2024

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 +

23 Views

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

Team Careers360 22nd Jan, 2024

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

19 Views

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: $\frac{\sqrt{3}}{2 \sqrt{6}-2 \sqrt{2}}$

Team Careers360 17th Jan, 2024

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 $\frac{3 \sqrt{2}-\sqrt{6}}{8}$.

13 Views

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

Team Careers360 22nd Jan, 2024

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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