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Question : On a partnership basis, A and B invested in a ratio of 5 : 6. At the end of 8 months A withdrew his capital. If they shared the eventual profit in the ratio of 5 : 9, then what is the number of months for which B invested his capital?
Option 1: 6 months
Option 2: 10 months
Option 3: 12 months
Option 4: 11 months
Correct Answer: 12 months
Solution : A's initial investment is 5$x$ and B's initial investment is $6x$, where $x$ is a positive constant. after 8 months, A's effective investment for the entire duration is $5x × 8$ B's effective investment is $6x × t$, where $t$ is the number of
Question : On a sum of money for 2 years compound interest and simple interest are INR 550 and INR 500. Find the rate of interest (per annum).
Option 1: 40%
Option 2: 10%
Option 3: 20%
Option 4: 30%
Correct Answer: 20%
Solution : Given: On a sum of money for 2 years compound interest and simple interest are INR 550 and INR 500. From the given information we can conclude that, The interest of INR $\frac{500}{2}$ i.e., INR 250 in 1 year is INR (550 – 500) =
Question : Select the most appropriate option that can substitute the underlined word in the given sentence. None of the countries involved in war were ready to broach the issue of retreat.
Option 1: turn down thoughtlessly
Option 2: bring up for discussion
Option 3: underestimate the worth of
Option 4: disregard contemptuously
Correct Answer: bring up for discussion
Solution : The second option is correct.
The most suitable option to substitute the underlined word broach in the given sentence is bring up for discussion. This is because broach means to introduce or raise a topic for discussion, and among the provided options,
Question : Directions: Pointing towards a girl, Rajan said, "She is the daughter of my mother's daughter". Then how is the girl related to Rajan?
Option 1: Daughter
Option 2: Niece
Option 3: Nephew
Option 4: Uncle
Correct Answer: Niece
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, the girl is Rajan's niece. Hence, the second option is
Question : The Indira Sagar Dam is built over River Narmada in which of the following states of India?
Option 1: Karnataka
Option 2: Gujarat
Option 3: Madhya Pradesh
Option 4: Kerala
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh.
The Indira Sagar Dam is located in the state of Madhya Pradesh, India. It is built on the Narmada River, one of the major rivers in central India. The dam serves various purposes, including irrigation, hydroelectric power
Question : If $\tan\theta =\frac{3}{4}$, then the value of $\frac{4\sin^{2}\theta–2\cos^{2}\theta}{4\sin^{2}\theta+3\cos^{2}\theta}$ is equal to:
Option 1: $\frac{1}{21}$
Option 2: $\frac{2}{21}$
Option 3: $\frac{4}{21}$
Option 4: $\frac{8}{21}$
Correct Answer: $\frac{1}{21}$
Solution : $\frac{4\sin^{2}\theta–2\cos^{2}\theta}{4\sin^{2}\theta+3\cos^{2}\theta}$ Dividing this numerator and denominator by $\cos\theta$ we have, $\frac{4\sin^{2}\theta–2\cos^{2}\theta}{4\sin^{2}\theta+3\cos^{2}\theta} = \frac{4\tan^{2}\theta–2}{4\tan^{2}\theta+3}$ Putting the value of $\tan\theta =\frac{3}{4}$ in this expression, we have, = $\frac{4×\frac{9}{16}–2}{4×\frac{9}{16}+3}$ = $\frac{\frac{9}{4}–2}{\frac{9}{4}+3}$ = $\frac{\frac{1}{4}}{\frac{21}{4}}$ = $\frac{1}{21}$ Hence, the correct answer is $\frac{1}{21}$.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. With up to 50,000 species of spiders, spider habitats vary (1) ______. Spiders are (2) ______ to live anywhere in the world except Antarctica. They (3) ______ not live in bodies of water or in the air, but can adapt (4) ______ almost any type of environment: hot or cool, wet or (5)______, in the garden or in your house.
Question:
Select the most appropriate option to fill in the blank number 1.
Option 1: widely
Option 2: wide
Option 3: widest
Option 4: wider
Correct Answer: widely
Solution : The first option is correct.
The sentence talks about the variation in spider habitats, indicating that there are many different types of habitats where spiders can be found.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement."
However great you may be, you cannot (trifle on) a man's feelings.
(1) trifle along
(2) trifle upon
(3) trifle with
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option.
"Trifle along", "Trifle on" and "Trifle upon" are incorrect because they are not commonly used phrases. These options don't convey the idea of interfering with someone's feelings.
"Trifle with" means to treat a person in a
Question : Fill in the blank with the most appropriate word.
The speaker impressed the audience with her ___________speech.
Option 1: fluent
Option 2: fluently
Option 3: effluent
Option 4: fluency
Correct Answer: fluent
Solution : The correct choice is the first option.
Explanation: Fluent means to be able to speak a language easily and well. It means to speak without an effort. It helps convey that the speaker impressed the audience with her smooth and well-spoken speech.
Therefore, the
Question : Directions: In the given question, select the related letter from the given alternatives. A : B :: B : D :: C : F :: ? : ?
Option 1: E : L
Option 2: D : F
Option 3: F : L
Option 4: L : F
Correct Answer: F : L
Solution : Given: A : B :: B : D :: C : F :: ? : ?
Here, the difference between the second term is twice the difference between the first term. Like, A : B :: B : D; A + 1 =
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