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Question : Find the coordinates of the points where the graph $57x – 19y = 399$ cuts the coordinate axes.

Option 1: x-axis at(–7, 0) and y-axis at (0, –21)

Option 2: x-axis at(–7, 0) and y-axis at (0, 21)

Option 3: x-axis at (7, 0) and y-axis at (0, –21)

Option 4: x-axis at (7, 0) and y-axis at (0, 21)

Team Careers360 14th Jan, 2024

Correct Answer: x-axis at (7, 0) and y-axis at (0, –21)


Solution : $57x-19y=399$
⇒ $\frac{57x}{399}-\frac{19y}{399} = 1$
⇒ $\frac{x}{7}-\frac{y}{21} = 1$ -------------(i)
Comparing it with the equation of a line:
$\frac{x}{a}+\frac{y}{b} = 1$
x-intercept = $a$ = 7
y-intercept = $b$ = –21
The line, $57x-19y=399$, cuts the x-axis

16 Views

Question : In which year was the Border Roads Organisation established?

Option 1: 1954

Option 2: 1966

Option 3: 1960

Option 4: 1958

Team Careers360 18th Jan, 2024

Correct Answer: 1960


Solution : The correct answer is 1960.

Established on May 7, 1960, the Border Roads Organisation (BRO) plays a crucial role in safeguarding India's borders and enhancing infrastructure in the remote regions of the northern and northeastern states. To streamline project execution, the Indian government formed

14 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".

(didn't see) him since we met two years ago.

(1) am not seeing

(2) have not seen

(3) had not seen

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 21st Jan, 2024

Correct Answer: (2)


Solution : The second option is the correct choice.

''Didn't see'' should be replaced with "have not seen,'' thereby indicating that the action of not seeing him has continued from the past until the present. There is an error in the use of the verb form of

126 Views

Question : Select the correct homonym to fill in the blank in the given sentence.
I will _ just some figures for comparison.

Option 1: cete

Option 2: cite

Option 3: site

Option 4: sight

Team Careers360 19th Jan, 2024

Correct Answer: cite


Solution : The correct answer is the second option.

Cite means to refer to or quote as evidence or justification. In this context, it indicates that the speaker will mention or refer to specific figures for the purpose of comparison.

The meanings of the other options are

14 Views

Question : The value of $\frac{1}{\sin \theta}-\frac{\cot ^2 \theta}{1+\operatorname{cosec} \theta}$ is:

Option 1: 2

Option 2: 1

Option 3: –1

Option 4: 0

Team Careers360 14th Jan, 2024

Correct Answer: 1


Solution : Given:
$\frac{1}{\sin \theta}-\frac{\cot ^2 \theta}{1+\operatorname{cosec} \theta}$
= $\operatorname {cosec} \theta - \frac{\operatorname{cosec}^2\theta-1}{1+\operatorname{cosec} \theta}$
= $\operatorname {cosec}\theta-\frac{(\operatorname{cosec}\theta-1)(\operatorname{cosec}\theta+1)}{1+\operatorname{cosec} \theta}$
= $\operatorname{cosec}\theta-\operatorname{cosec}\theta+1$
= $1$
Hence, the correct answer is 1.

22 Views

Question : Directions: If in a certain code language, ENTRY is coded as 12345 and STEADY is coded as 931785 then state what is the correct code for ARREST?

Option 1: 744589

Option 2: 744193

Option 3: 166479

Option 4: 745194

Team Careers360 21st Jan, 2024

Correct Answer: 744193


Solution : Given:
ENTRY is coded as 12345, and STEADY is coded as 931785.

Code the letter of ENTRY with an equivalent number given in the code –
E→1; N→2; T→3; R→4; Y→5
And, STEADY is coded as 931785 –
S→9; T→3; E→1; A→7; D→8; Y→5
All

29 Views

Question : If 80% of A is 13 more than 90% of B, and the ratio of 40% of A to 60% of B is 10 : 9, then what is the value of A – B?

Option 1: 50

Option 2: 80

Option 3: 20

Option 4: 60

Team Careers360 17th Jan, 2024

Correct Answer: 20


Solution : From the first condition,
$0.8A = 0.9B + 13$ ___(1)
From the second condition,
$\frac{0.4A}{0.6B} = \frac{10}{9} \Rightarrow 0.4A = \frac{10}{9} \times 0.6B$ ___(2)
From equation (2), we can express A in terms of B:
$A = \frac{10}{9} \times \frac{0.6B}{0.4} = \frac{5}{3}B$ ___(3)
Substitute equation

16 Views

Question : Select the correctly spelt word.

Option 1: ubiqitous

Option 2: ubquitous

Option 3: ubiquitous

Option 4: ubiqoitous

Team Careers360 21st Jan, 2024

Correct Answer: ubiquitous


Solution : The correct option is the third option.

ExplanationUbiquitous describes something that is present, or seems to be present, everywhere at the same time. It signifies something widespread, pervasive, or seemingly ever-present across various places or situations.

Therefore, the correct answer is ubiquitous.

15 Views

Question : Iodine value is used to estimate

Option 1: Hydroxyl groups in oil

Option 2: Alkali content in oil

Option 3: Unsaturation in oil

Option 4: The carboxylic group in the oil

Team Careers360 16th Jan, 2024

Correct Answer: Unsaturation in oil


Solution : The correct option is Unsaturation in oil.

The iodine value is a method of estimating the degree of unsaturation in oils and fats. A higher iodine value suggests a higher amount of unsaturation, which means the fatty acids have more double bonds between

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