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Question : What is the HCF of 513 and 1017?

Option 1: 15

Option 2: 8

Option 3: 9

Option 4: 13

Team Careers360 23rd Jan, 2024

Correct Answer: 9


Solution : Given: The numbers are 513 and 1017.
513 = 3 × 3 × 3 × 19
1017 = 3 × 3 × 113
The HCF of 513 and 1017 = 3 × 3 = 9
Hence, the correct answer is 9.

6 Views

Question : A dining set listed at INR 5000 is sold to a man at successive discounts of 20% and 10% by the shopkeeper. What is the selling price of the dining set?

Option 1: INR 3600

Option 2: INR 4800

Option 3: INR 1000

Option 4: INR 4000

Team Careers360 23rd Jan, 2024

Correct Answer: INR 3600


Solution : Marked price = INR 5000
Two discounts are 20% and 10%.
So,
Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
= 5000 × $\frac{100-20}{100}$ × $\frac{100-10}{100}$
= 5000 × $\frac{80}{100}$ × $\frac{90}{100}$
= INR 3600
Hence, the correct answer is INR 3600.

16 Views

Question : In a basketball game, how many players from one team play on the court at any given time?

Option 1: 5

Option 2: 6

Option 3: 4

Option 4: 7

Team Careers360 25th Jan, 2024

Correct Answer: 5


Solution : The correct option is 5.

In a standard basketball game, each team has five players on the court at any given time. These five players typically consist of two guards, two forwards and a center. The specific positions and player roles can vary depending

10 Views

Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern (Rotation is not allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the second option is correct.

34 Views

Question : Select the most appropriate option to fill in the blank.

Yesterday, after a nice walk, we ______ to sit on the bench, watch the birds, and rest for a while.

Option 1: decided

Option 2: decide

Option 3: decides

Option 4: deciding

Team Careers360 23rd Jan, 2024

Correct Answer: decided


Solution : The correct choice is the first option.

Decide means to come to a resolution, and the past form decided is the correct choice, as the sentence is in the past tense.

Therefore, the complete sentence is: "Yesterday, after a nice walk, we decided to

16 Views

Question : Directions: If A @ B means A is the son of B, and A $ B means A is the sister of B, then which of the following expressions means M is K's sister's son?

Option 1: M $ G @ K

Option 2: K @ G $ M

Option 3: G @ K $ M

Option 4: M @ G $ K

Team Careers360 25th Jan, 2024

Correct Answer: M @ G $ K


Solution : Given:
A @ B means A is the son of B.
A $ B means A is the sister of B.

Let's check the options –
First option: M $ G @ K
According to the given information, the family tree

14 Views

Question : The value of $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ is:

Option 1: $0.4 \overline{98}$

Option 2: $0.4 \overline{94}$

Option 3: $0. \overline{498}$

Option 4: $0. \overline{495}$

Team Careers360 25th Jan, 2024

Correct Answer: $0.4 \overline{98}$


Solution : $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$
can be written as
$=\frac{57}{99} - \frac{428}{990} + \frac{32}{90}$
$=\frac{(570 - 428 + 352)}{990}$
$=\frac{494}{990}$ [Converting into expression: 4 will be added with unit digit as the denominator having '0' in it)
Value of the given Expression = $0.4 \overline{98}$

33 Views

Question : The compound interest on Rs. 12000 for 9 months at 20% per annum, interest being compounded quarterly is:

Option 1: Rs. 1,750

Option 2: Rs. 2,089.70

Option 3: Rs. 1,891.50

Option 4: Rs. 2,136.40

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 1,891.50


Solution : Given: The Principal amount is Rs. 12,000, the annual interest rate (in decimal form) is 20% per annum, the number of times interest is compounded per year is 4 and the time the money is invested for (in years) is 9 months, which is

23 Views

Question : If $\left(x - \frac{1}{x}\right) = 2 \sqrt{2}$, what is the value of $\left(\mathrm{x}^6 + \frac{1}{\mathrm{x}^6}\right)$?

Option 1: 1030

Option 2: 960

Option 3: 1000

Option 4: 970

Team Careers360 23rd Jan, 2024

Correct Answer: 970


Solution : Given: $\left(x - \frac{1}{x}\right) = 2 \sqrt{2}$
We know, $(x - \frac{1}{x})^{3} = x^{3} - \frac{1}{x^3} - 3×x×\frac{1}{x}(x - \frac{1}{x})$
$⇒(x - \frac{1}{x})^{3} = x^{3} - \frac{1}{x^3} - 3 \times 2\sqrt{2}$
$⇒(2\sqrt{2})^{3}  = x^{3} - \frac{1}{x^3} -6\sqrt{2}$
$⇒x^{3} - \frac{1}{x^3} = 22\sqrt{2}$
$⇒(x^{3} - \frac{1}{x^3})^{2}

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