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10 Views

Question : Find the value of $\tan (50°+\theta)-\operatorname{cot}(40°-\theta)$.

Option 1: $\frac{1}{2}$

Option 2: $-1$

Option 3: $0$

Option 4: $1$

Team Careers360 16th Jan, 2024

Correct Answer: $0$


Solution : $\tan (50°+\theta)-\cot(40°-\theta)$
We know, $\cot(90°-x)=\tan x$
$=\tan(50°+\theta)-\cot(90°-(50°+\theta))$
$=\tan(50°+\theta)-\tan(50°+\theta)$
$=0$
Hence, the correct answer is $0$.

21 Views

Question : If $\sqrt{y}=4x$, then $\frac{x^{2}}{y}$ is:

Option 1: $2$

Option 2: $\frac{1}{16}$

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

Option 4: $4$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{1}{16}$


Solution : Given: $\sqrt{y}=4x$
Squaring on both sides,
⇒ $y = (4x)^2 = 16x^2$
⇒ $\frac{x^2}{y}$ = $\frac{1}{16}$
Hence, the correct answer is $\frac{1}{16}$.

58 Views

Question : Select the most appropriate ANTONYM of the word given in the bracket to fill in the blank.
There are ______ (definite) weaknesses in their security arrangements.

Option 1: monotonous

Option 2: hazy

Option 3: subtle

Option 4: vague

Team Careers360 20th Jan, 2024

Correct Answer: vague


Solution : The correct answer is the fourth option.

The antonym of the bracketed word definite is vague. Definite indicates that something is clear and well-defined whereas vague refers to something that lacks clarity and specificity and fits perfectly as the antonym of the given word.

The

53 Views

Question : Select the most appropriate option to fill in the blank.

Some people are in the habit of sharing ________ and bull story on unsuitable occasions

Option 1: fox

Option 2: wolf

Option 3: cock

Option 4: rooster

Team Careers360 20th Jan, 2024

Correct Answer: cock


Solution : The third option is correct.

Cock and bull story is an idiomatic expression that refers to a fabricated or unbelievable tale or explanation.
While fox and wolf are also animals, they do not collocate with the phrase cock and bull story.

Rooster is a

19 Views

Question : "Terra Rossa" is a Latin word which means:

Option 1: Hot area

Option 2: Red terrain

Option 3: Lateritic region

Option 4: Region near the poles

Team Careers360 9th Jan, 2024

Correct Answer: Red terrain


Solution : The correct answer is Red terrain.

Terra Rossa is red soil. It is a type of soil. It's a Latin word. It is derived from limestone. Some of its features are:

  • Well drained
  • Red
  • Neutral pH
  • Clayey in nature
  • Present in the Mediterranean
15 Views

Question : Direction: In the given question, select the related letter from the given alternatives.

DBU : EEZ :: CJH : ?

Option 1: DNN

Option 2: DMN

Option 3: DMM

Option 4: DNM

Team Careers360 21st Jan, 2024

Correct Answer: DMM


Solution : Given:

DBU : EEZ :: CJH : ?

Now, add consecutive odd numbers to the position value of DBU;

D + 1 = 4 + 1 = 5 → E

B + 3 = 2 + 3 = 5 → E

U + 5

16 Views

Question : Directions: Select the letter cluster from the given options that can replace the question mark (?) in the following series.
AAI, AEI, AII, AOI, ?

Option 1: AUI

Option 2: EAI

Option 3: IAA

Option 4: IIA

Team Careers360 9th Jan, 2024

Correct Answer: AUI


Solution : Given:
AAI, AEI, AII, AOI, ?

In the given series, the first and third letters are the same letter, A and I. The second letters of the letter clusters are vowels, in alphabetical order.
AAI, AEI, AII, AO

81 Views

Question : Sum INR 20,000 and INR 40,000 are given on simple interest at the rate of 10% and 15% per annum respectively for three years. What will be the total simple interest?

Option 1: INR 36,000

Option 2: INR 24,000

Option 3: INR 32,000

Option 4: INR 28,000

Team Careers360 19th Jan, 2024

Correct Answer: INR 24,000


Solution : Given: Sum INR 20,000 and INR 40,000 are given on simple interest at the rate of 10 percent and 15 percent per annum respectively for three years.
We know the formula, $SI=\frac{P\times R\times T}{100}$ where $SI$, $P$, $R$, and $T$ are the simple interest,

17 Views

Question : Which of the following is known as "Regur Soil"?

Option 1: Black Soil

Option 2: Red Soil

Option 3: Alluvial Soil

Option 4: Laterite Soil

Team Careers360 19th Jan, 2024

Correct Answer: Black Soil


Solution : The correct answer is Black Soil.

"Regur Soil" or "Black Cotton Soil" are other names for black soil. It makes up 15% of the nation's overall land area. It encompasses much of the Deccan Plateau, including portions of Tamil Nadu, Gujarat, Maharashtra, Madhya Pradesh,

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