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23 Views

Question : The sum of twice a fraction and its reciprocal is $\frac{17}{6}$. What is the fraction?

Option 1: $\frac{4}{3}$

Option 2: $\frac{5}{4}$

Option 3: $\frac{3}{4}$

Option 4: $\frac{4}{5}$

Team Careers360 27th Jan, 2024

Correct Answer: $\frac{3}{4}$


Solution : Let's assume the fraction is $x$.
$⇒2x+\frac{1}{x}=\frac{17}{6}$
Multiplying both sides by $x$, we get,
$⇒2x^2+1=\frac{17x}{6}$
$⇒2x^2-\frac{17x}{6}+1=0$
Multiplying both sides by 6, we get,
$\Rightarrow 12x^2-17x +6=0$
$\Rightarrow (3x-2)(4x-3)=0$
$\Rightarrow (3x-2)$ or $(4x-3)=0$
$\Rightarrow x=\frac{2}{3}$ or $x=\frac{3}{4}$
After checking the options we get, $x=\frac{3}{4}$
Hence, the

31 Views

Question : Given below are four sentences, three of which, are jumbled. Pick the option that gives the correct order.

A. In less than ten minutes, the two young men found the way that led to the cliff top.
B. Half way up, a large rock blocked their way.
C. But their troubles were not over.
D. They started shouting, hoping that someone might hear them.

Option 1: ABCD

Option 2: ACBD

Option 3: ADCB

Option 4: ADBC

Team Careers360 26th Jan, 2024

Correct Answer: ABCD


Solution : The correct choice is the first option.

Explanation:
The sequence begins with the two young men swiftly finding the path to the cliff top in less than ten minutes (A). However, their progress is hindered when they encountered a large rock halfway up (B). The

46 Views

Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error.'
An appeasements policies / were all but a sham to misdirect / the local groups.

Option 1: the local groups.

Option 2: were all but a sham to misdirect

Option 3: An appeasements policies

Option 4: No error

Team Careers360 26th Jan, 2024

Correct Answer: An appeasements policies


Solution : The error lies in the third option.

Explanation:
The term "appeasements" is incorrect because "appeasement" is a word that doesn't require a plural form when used in this context to modify "policies". The correct form is "appeasement policy," as "appeasement" describes

8 Views

Question : If $x-y=7$ and $xy=32$, then the value of $x^{2}+y^{2}$ is:

Option 1: 49

Option 2: 64

Option 3: 113

Option 4: 15

Team Careers360 26th Jan, 2024

Correct Answer: 113


Solution : Given: $x-y=7$ and $xy=32$.
We know that $(x-y)^{2}=x^{2}+y^{2}-2xy$.
⇒ $x^{2}+y^{2}=(x-y)^{2}+2xy$
By putting the value of $x-y=7$ and $xy=32$ in above expression, we get:
⇒ $x^{2}+y^{2}=7^{2}+2×32$
⇒ $x^{2}+y^{2}=49+64$
⇒ $x^{2}+y^{2}=113$
Hence, the correct answer is 113.

8 Views

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is (4).

Hitler was an absolute potentate.

(1) Dictator

(2) Militant

(3) Ruler

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 26th Jan, 2024

Correct Answer: (1)


Solution : The sentence can be improved using the first option.

Dictator means a ruler who has total power over a country that is typically controlled by force, and it fits correctly in the context of the sentence.

The meanings of the other options are as follows:

23 Views

Question : The basis of determining dearness allowance to employees in India is

Option 1: national income

Option 2: consumer price index

Option 3: standard of living

Option 4: inflation rate

Team Careers360 27th Jan, 2024

Correct Answer: consumer price index


Solution : The correct answer is the consumer price index.

The consumer price index is used in India to calculate the Dearness Allowance (DA) for government employees. A benefit known as a Dearness Allowance (DA) is provided to employees to offset the impact of inflation

3 Views

Question : Directions: Find the missing number from the given responses.

Option 1: 53

Option 2: 48

Option 3: 32

Option 4: 40

Team Careers360 26th Jan, 2024

Correct Answer: 40


Solution : In a column, find the square of the first number to get the second number and then multiply the first number by consecutive natural numbers(starting from 3) to get the third number.

In the first column: 62 = 36 and 6 × 3 =

15 Views

Question : The ratio of the area of two isosceles triangles having the same vertical angle (i.e. the angle between equal sides) is 1 : 4. The ratio of their heights is:

Option 1: 1 : 4

Option 2: 2 : 5

Option 3: 1 : 2

Option 4: 3 : 4

Team Careers360 27th Jan, 2024

Correct Answer: 1 : 2


Solution :

$\angle$ BAC = $\angle$ QPR
$\angle$ ABC = $\angle$ ACB and $\angle$ PQR = $\angle$ PRQ
$\angle$ ABC = $\angle$ ACB = $\angle$ PQR = $\angle$ PRQ
$\triangle$ BAC ~ $\triangle$ QPR
$\frac{area(\triangle BAC)}{area(\triangle PQR)}$ = $\frac{h^2}{H^2}$
⇒ $\frac{1}{4}$ = $\frac{h^2}{H^2}$
⇒ $\frac{h}{H}$

11 Views

Question : Citric acid is present in free form in

Option 1: tamarind

Option 2: milk

Option 3: apple

Option 4: lemon

Team Careers360 27th Jan, 2024

Correct Answer: lemon


Solution : The correct option is lemon.

Lemon contains citric acid in its free form. Lemons' sour flavour is caused by a natural organic acid. Lemon juice contains 5% to 6% citric acid. Other citrus fruits, such as oranges, limes, and grapefruits, contain citric acid. Other

5 Views

Question : Directions: Which two numbers should be interchanged to make the given equation correct?
81 + 31 ÷ 9 – 7 = 33

Option 1: 9 and 7

Option 2: 31 and 9

Option 3: 31 and 81

Option 4: 81 and 7

Team Careers360 26th Jan, 2024

Correct Answer: 31 and 81


Solution : Given:
81 + 31 ÷ 9 – 7 = 33

Let's check the options –
First options: 9 and 7
81 + 31 ÷ 7 – 9 = 33
On solving the L.H.S. of the given equation –
= 81 + 31 ÷

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