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Question : If $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$, then the value of $\sin\theta$ is:
Option 1: $\frac{5}{13}$
Option 2: $–\frac{12}{13}$
Option 3: $\frac{6}{13}$
Option 4: $\frac{12}{13}$
Correct Answer: $\frac{12}{13}$
Solution : Given: $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$ Here, $5\cos\theta+12\sin\theta=13$ ⇒ $(\frac{5}{13})\cos\theta+(\frac{12}{13})\sin\theta=1$ Comparing it with $\cos^2\theta+\sin^2\theta=1$ we get, $\cos\theta=\frac{5}{13}$ and $\sin\theta=\frac{12}{13}$ Hence, the correct answer is $\frac{12}{13}$.
Question : Directions: In a certain code language, They play Football is written as po la ta, They like playing is written as la to zu, Football is best game is written as xu po ba cu. How will Football be written in that language?
Option 1: po
Option 2: xu
Option 3: zu
Option 4: la
Correct Answer: po
Solution : Given: 1. They play Football is written as po la ta, 2. They like playing is written as la to zu, 3. Football is best game is written as xu po ba cu
In statements 1 and 3, Football is common and in
Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
Correct Answer: 1 : 6
Solution : Let the HCF be a. We know that, HCF × LCM = Product of two numbers ⇒ 48 × a = 384 $\therefore$ a = 8 $\therefore$ HCF : LCM = 8 : 48 = 1 : 6 Hence, the correct answer is
Question : Directions: Select the option in which the following figure is embedded. (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 first option figure.
Hence, the first option is correct.
Question : Select the most appropriate synonym of the given word. Fierce
Option 1: Lame
Option 2: Lavish
Option 3: Strange
Option 4: Furious
Correct Answer: Furious
Solution : The fourth option is the correct choice.
When describing a situation, individual, or emotion as fierce, it implies a heightened level of intensity. Similarly, furious denotes an extreme state of anger or intensity, where emotions or actions are heightened and forceful.
The meanings of other
Question : Which of the following is correct about a coalition form of government?
Option 1: Sharing of power at different levels.
Option 2: Sharing of power by different social groups.
Option 3: Sharing of power by two or more political parties.
Option 4: None of these
Correct Answer: Sharing of power by two or more political parties.
Solution : The correct option is the Sharing of power by two or more political parties.
An arrangement between political parties to establish a government is known as a coalition government. The standard justification for such a situation is
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative. The small amount of fusion fuel ___________to be heated to huge temperatures.
Option 1: needing
Option 2: need
Option 3: needs
Option 4: needful
Correct Answer: needs
Solution : The third option is correct.
Question : Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
The number of students who obtained less than 250 marks is:
Option 1: 135
Option 2: 75
Option 3: 30
Option 4: 45
Correct Answer: 75
Solution : The number of students who obtained less than 250 marks = 30 + 45 = 75 Hence, the correct answer is 75.
Question : Directions: Which two signs should be interchanged to make the given equation correct? 25 – 5 × 50 ÷ 10 + 35 = 155
Option 1: × and ÷
Option 2: × and +
Option 3: × and –
Option 4: + and –
Correct Answer: × and –
Solution : Given: 25 – 5 × 50 ÷ 10 + 35 = 155
Replace the given symbols in the options one by one with the original symbols in the given equation. Let's check the options – First options: × and ÷ On interchanging the
Question : Directions: Find which word cannot be made from the letters used in the word INCREASINGLY.
Option 1: SINGLE
Option 2: ARISE
Option 3: UGLY
Option 4: CRANE
Correct Answer: UGLY
Solution : Given: INCREASINGLY
Now, let's compare all the option words with the word INCREASINGLY – First option: SINGLE; All the letters of SINGLE are present in the word INCREASINGLY. Second option: ARISE; All the letters of ARISE are present in the word INCREASINGLY. Third option:
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