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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

Team Careers360 25th Jan, 2024

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

201 Views

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%

Team Careers360 20th Jan, 2024

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) =

26 Views

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

Team Careers360 23rd Jan, 2024

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,

16 Views

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

Team Careers360 24th Jan, 2024

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

17 Views

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

Team Careers360 22nd Jan, 2024

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

12 Views

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: $\frac{8}{21}$

Team Careers360 22nd Jan, 2024

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 $\frac{1}{21}$.

75 Views

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)

Team Careers360 25th Jan, 2024

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

82 Views

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

Team Careers360 24th Jan, 2024

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

14 Views

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

Team Careers360 23rd Jan, 2024

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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