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Question : A man's annual income has increased by Rs. 5 lakh, but the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs. 10,000 more income tax. What is his increased income (in Rs. lakhs)?
Option 1: 20
Option 2: 25
Option 3: 15
Option 4: 10
Correct Answer: 25
Solution : Let the previous income of man be Rs. $x$. Man's new income after increment = Rs. $(x + 500000)$ According to the given condition, ⇒ $(x+500000)×\frac{10}{100}-x×\frac{12}{100}=10000$ ⇒ $\frac{10x}{100}+50000-\frac{12x}{100}=10000$ ⇒ $\frac{2x}{100}$ = 50000–10000 ⇒ $x=\frac{4000000}{2}$ ⇒ $x$ = Rs. 20,00,000 His increased income = 20,00,000 +
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
The most worrying aspect of climate change is the effect it has on the world's food supply.
Option 1: A most worry aspect
Option 2: A worried aspects
Option 3: The most worrying aspects
Option 4: No improvement
Correct Answer: No improvement
Solution : The correct choice is the fourth option.
Explanation:
The sentence is grammatically and logically structured and does not require improvement.
Question : Evaluate the expression: $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$ = $\frac{\sin ^2 63^{\circ}+\sin ^2 (90^{\circ}-63^{\circ})}{\cos ^2 17^{\circ}+\cos ^2 (90^{\circ}-17^{\circ})}$ = $\frac{\sin ^2 63^{\circ}+\cos ^2 63^{\circ}}{\cos ^2 17^{\circ}+\sin ^2 17^{\circ}}$ = $\frac{1}{1}$ = 1 Hence, the correct answer is 1.
Question : Malic Acid is found in which of the following substances?
Option 1: Apple
Option 2: Vinegar
Option 3: Ant’s sting
Option 4: Tamarind
Correct Answer: Apple
Solution : The correct answer is Apple.
Malic acid is found in apples. It is a naturally occurring organic acid that contributes to the tart taste of many fruits, including apples. While vinegar also contains acetic acid, and ants' stings may contain formic acid, malic acid
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given series of figures, each box contains the letter S and an arrow, while the third symbol changes to an uncommon symbol or letter in subsequent boxes as the figure rotates 90° clockwise. Thus, the required figure is –
Therefore, the complete figure is
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully, Select the option 'No correction required' if the sentence is correct as given.
(The shocked entrance) of so many witnesses seemed to have brought them to their senses.
Option 1: The shocking entrances
Option 2: The unexpected entrance
Option 3: The unexpecting entrances
Option 4: No correction required
Correct Answer: The unexpected entrance
Solution : The correct choice is the second option.
The original phrase "the shocked entrance" implies that the entrance itself was in a state of shock, which is not a standard expression. The replacement "the unexpected entrance" fits the context better, conveying that
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 2 : 9
Option 2: 6 : 21
Option 3: 10 : 33
Option 4: 8 : 29
Correct Answer: 8 : 29
Solution : Let's check the options – First option: 2 : 9; (2 × 3) + 3 = 6 + 3 = 9 Second option: 6 : 21; (6 × 3) + 3 = 18 + 3 = 21 Third option: 10 : 33; (10
Question : Directions: U & V means U is the sister of V; U @ V means U is the husband of V; U × V means U is the son of V; U ÷ V means U is the mother of V. If O & P × B @ F, how is O related to F?
Option 1: Sister
Option 2: Brother
Option 3: Daughter
Option 4: Daughter-in-law
Correct Answer: Daughter
Solution : Given: U $ V ⇒ U is the sister of V U @ V ⇒ U is the husband of V U × V ⇒ U is the son of V U ÷ V ⇒ U is the mother of V
As per the given
Question : The length of a chord is 40 cm. If the angle subtended by this chord at the circumference of the circle is 90 degrees, then what will be the radius of this circle?
Option 1: 15 cm
Option 2: 25 cm
Option 3: 80 cm
Option 4: 20 cm
Correct Answer: 20 cm
Solution : Let O be the circle's centre, and let C be the point on the circumference. Using, If an angle subtended by a chord on the circumference of a circle is 90 degrees, then the chord is the circle's diameter. ⇒ MN is the diameter.
Question : Ustaad Allauddin Khan, a famous Indian musician, is associated with which musical instruments?
Option 1: Surbahar
Option 2: Santoor
Option 3: Sarod
Option 4: Sitar
Correct Answer: Sarod
Solution : The correct answer is Sarod.
The famed Indian musician Ustaad Allauddin Khan is associated with the musical instrument known as the "sarod." It is a stringed instrument that is frequently heard in Hindustani classical music. Ustad Allauddin Khan, affectionately known as Baba. He was an
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