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Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 5 and 9
Option 1: 9 × 4 + 5 – 8 ÷ 2 = 25
Option 2: 9 – 5 × 4 + 6 ÷ 3 = –30
Option 3: 9 + 7 × 8 ÷ 4 – 5 = 10
Option 4: 9 – 4 × 5 + 6 ÷ 2 = –28
Correct Answer: 9 – 5 × 4 + 6 ÷ 3 = –30
Solution : Given: 5 and 9
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 9 × 4 + 5 – 8 ÷ 2 = 25
Question : In the sentence, identify the segment that contains the grammatical error.
As there were only one cab available and there was surge pricing, we decided to share it.
Option 1: As there were
Option 2: only one cab available
Option 3: and there was surge pricing
Option 4: we decided to share it
Correct Answer: As there were
Solution : The error lies in the first option.
The sentence contains an error in the subject-verb agreement, as "were" should be replaced with "was" to match the singular subject "one cab" to make it grammatically accurate.
Therefore, the correct sentence is: "As there
Question : Find the numerical value of $\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$
Option 1: $5$
Option 2: $7$
Option 3: $9$
Option 4: $4$
Correct Answer: $9$
Solution : Given: $\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$ $=9\sin^2\theta+4\cos^{2}\theta+\frac{5}{\operatorname{sec^{2}\theta}}$ $=9\sin^2\theta+4\cos^{2}\theta+5\cos^{2}\theta$ $=9\sin^2\theta+9\cos^{2}\theta$ $=9(\sin^2\theta+\cos^{2}\theta)$ $=9$ [$\because \sin^2\theta+\cos^{2}\theta=1$] Hence, the correct answer is $9$.
Question : Which of the following is the main compound of voter ink?
Option 1: Silver nitrate
Option 2: Ammonium chloride
Option 3: Silver chloride
Option 4: Ammonium nitrate
Correct Answer: Silver nitrate
Solution : The correct option is Silver nitrate.
Silver nitrate (AgNO3) is the principal ingredient of voter ink, also known as indelible ink or electoral ink. When silver nitrate is applied to the skin, it combines with the salts, and proteins on the
Question : In the given sentence, one word may have been incorrectly spelt. Select the correctly spelt word from the given alternatives. If there is no error, select ‘No Error’ as your answer. The staff members were attempting to manoeuvre the board of directors for the abolition of pay disparity
Option 1: manouever
Option 2: manoeuver
Option 3: manouvre
Option 4: No Error
Correct Answer: No Error
Solution : The correct option is the fourth option.
Explanation The correctly spelt word is manoeuvre, as it refers to a planned movement or a strategic action, often used to achieve a specific purpose or goal.
The sentence means that the staff members were trying to
Question : Which of the following pair of plastids - thing stored is not correct?
I. Amyloplasts - oils and fats II. Aleuroplasts - carbohydrates
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II
Correct Answer: Neither I nor II
Solution : The correct answer is Neither I nor II.
Plastids, known as amyloplasts, produce and store starch within internal membrane gaps. Potatoes and other carbs (starch) are stored by amyloplasts. Starch creates starch grains, which are insoluble granules found inside amyloplasts. Proteins
Question : The average expenditure of a man for the first five months is INR 1,200 and for the next seven months is INR 1,300. If he saves INR 2,900 in that year, his monthly average income is:
Option 1: INR 1,500
Option 2: INR 1,600
Option 3: INR 1,700
Option 4: INR 1,400
Correct Answer: INR 1,500
Solution : The average expenditure of a man for the first five months = INR 1,200 The average expenditure of a man for the next seven months = INR 1,300 Total annual expenditure = 5 × 1200 + 7 × 1300 = INR 15,100 Savings =
Question : If $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$, then find the value of $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11$.
Option 1: –11
Option 2: –2
Option 3: 11
Option 4: 9
Correct Answer: 9
Solution : Given: $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$ Squaring both sides, we get: ⇒ $\mathrm{N}^2+2+\frac{1}{\mathrm{~N}^2}=3$ ⇒ $\mathrm{N}^2+\frac{1}{\mathrm{~N}^2}=1$ Now, cubing both sides, we get: ⇒ $(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})^3=1^3$ ⇒ $(\mathrm{N}^2)^3 + (\frac{1}{\mathrm{~N}^2})^3 + 3\times\mathrm{N}^2\times\frac{1}{\mathrm{~N}^2}(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})=1$ ⇒ $ \mathrm{N}^6 + \frac{1}{\mathrm{~N}^6} + 3\times1=1$ ⇒ $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}=-2$ Adding 11 on both sides, we get, $\therefore\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11=9$ Hence, the correct
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. Shield : Guard :: Spanner : ?
Option 1: Grip
Option 2: Shot
Option 3: Amplify
Option 4: Grind
Correct Answer: Grip
Solution : Given: Shield : Guard :: Spanner : ?
Like, a shield is a large piece of metal or wood that soldiers carry to guard themselves. Similarly, a spanner is a metal tool with an end shaped for turning small metal nuts and bolts that are
Question : Select the option that expresses the given sentence in passive voice. The audience loved her performance.
Option 1: The audience will love her performance.
Option 2: The performance is loved by the audience.
Option 3: Her performance was loved by the audience.
Option 4: The performance was loved by her.
Correct Answer: Her performance was loved by the audience.
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in
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