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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
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.
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
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.
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
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
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:
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.
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
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
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
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
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: $0. \overline{495}$
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 = $0.4 \overline{98}$
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
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
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
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}
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Some of these attachments can be quite cumbersome to use. B. Appliances like food processors come with a load of attachments. C. But, finding the right blade and fixing it in the right slot can be quite a job. D. For each different vegetable, you need to fix a different blade.
Option 1: DCAB
Option 2: BADC
Option 3: BDAC
Option 4: DACB
Correct Answer: BADC
Solution : The second option is the correct answer.
The paragraph begins by introducing the topic of appliances like food processors having multiple attachments (B).
It then highlights the potential issue of some attachments being cumbersome to use (A).
Following this, the paragraph delves into the complexity
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