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20 Views

Question : In the following sentence, four words are underlined, out of which one word is incorrectly spelt. Identify the INCORRECTLY spelt word.

Seema was a timid girl. She did not talk to people who were not familiar to her. She was an introvert since adolosense.

Option 1: introvert

Option 2: timid

Option 3: adolosense

Option 4: familiar

Team Careers360 14th Jan, 2024

Correct Answer: adolosense


Solution : The correct choice is the third option.

The correct spelling should be adolescence.

Adolescence is the period of life between childhood and adulthood, typically occurring during the teenage years. It is characterised by significant physical, psychological, and emotional changes.

The meanings of the other

7 Views

Question : In which of the following parts of the Indian Constitution, Fundamental Rights are contained?

Option 1: Part III

Option 2: Part IV

Option 3: Part V

Option 4: Part II

Team Careers360 17th Jan, 2024

Correct Answer: Part III


Solution : The correct option is Part III.

Part III of the Indian Constitution contains the list of fundamental rights. "Fundamental Rights", Part III of the Constitution, lists all of the essential rights that Indian people are entitled to. These rights are upholdable in court and

9 Views

Question : If $x+y+z=0$, then what is the value of $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$?

Option 1: 1

Option 2: 0

Option 3: 2

Option 4: 3

Team Careers360 17th Jan, 2024

Correct Answer: 3


Solution : Given: $x+y+z=0$
Cubing both sides, we get,
$⇒(x+y+z)^3=0$
$⇒x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)=0$
$⇒x^3+y^3+z^3 = -3(x+y)(y+z)(z+x)$ ......(1)
From the given equation ($x+y+z=0$), we can get,
$x+y=-z,$ $y+z=-x$ and $z+x=-y$
Putting in (1), we get,
$x^3+y^3+z^3 = -3(-z)(-x)(-y)=3xyz$
Consider, $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$
$=\frac{x^2(xz)(xy)+y^2(yz)(xy)+z^2(yz)(xz)}{(yz)(xz)(xy)}$

16 Views

Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.

Option 1: EILN

Option 2: AEHJ

Option 3: MOQX

Option 4: RVYA

Team Careers360 17th Jan, 2024

Correct Answer: MOQX


Solution : Let's check the options –
First option: EILN; E + 4 = I; I + 3 = L; L + 2 = N
Second option: AEHJ; A + 4 = E; E + 3 = H; H + 2 = J
Third option: MOQX; M

34 Views

Question : $\frac{(1+\sec \theta \operatorname{cosec} \theta)^2(\sec \theta-\tan \theta)^2(1+\sin \theta)}{(\sin \theta+\sec \theta)^2+(\cos \theta+\operatorname{cosec} \theta)^2}, 0^{\circ}<\theta<90^{\circ}$, is equal to:

Option 1: $1-\cos \theta$

Option 2: $1-\sin \theta$

Option 3: $\cos \theta$

Option 4: $\sin \theta$

Team Careers360 15th Jan, 2024

Correct Answer: $1-\sin \theta$


Solution : $\frac{(1+\sec \theta \operatorname{cosec} \theta)^2(\sec \theta-\tan \theta)^2(1+\sin \theta)}{(\sin \theta+\sec \theta)^2+(\cos \theta+\operatorname{cosec} \theta)^2}$
Since $ 0^{\circ}<\theta<90^{\circ}$.
$=\frac{(1+\frac{1}{\cos\theta.\sin\theta})^2(\frac{1}{cos\theta}-\frac{\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{(\sin\theta+\frac{1}{\cos\theta})^2+(\cos\theta+\frac{1}{\sin\theta})^2}$
$=\frac{(\frac{\cos\theta.\sin\theta+1}{\cos\theta.\sin\theta})^2(\frac{1-\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{(\frac{\sin\theta.\cos\theta+1}{\cos\theta})^2+(\frac{\cos\theta\sin\theta+1}{\sin\theta})^2}$
$=\frac{(\frac{1}{\cos\theta.\sin\theta})^2(\frac{1-\sin\theta}{\cos\theta})^2 (1+\sin\theta)}{\frac{\sin^2\theta+\cos^2\theta}{\sin^2\theta.\cos^2\theta}}$
$=\frac{(1-\sin\theta)(1-\sin\theta)(1+\sin\theta)}{\cos^2\theta}$
$=\frac{(1-\sin\theta)(1-\sin^2\theta)}{\cos^2\theta}$
$=\frac{(1-\sin\theta)(\cos^2\theta)}{\cos^2\theta}$
$=1-\sin\theta$
Hence, the correct answer is $1-\sin \theta$.

54 Views

Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select ‘No improvement required’.
He sounded like he were to going cry.

Option 1: No improvement required

Option 2: were going to

Option 3: going to

Option 4: was going to

Team Careers360 25th Jan, 2024

Correct Answer: was going to


Solution : The fourth option is the correct answer.

When expressing the future action of an individual, it is common to use was going to or were going to depending on the subject. In the sentence, the past tense was should be used because the

10 Views

Question : Directions: Arrange the following words as per order in the dictionary.
1. Nest 2. Neck 3. Neat 4. Near

Option 1: 4, 2, 3, 1

Option 2: 4, 2, 1, 3

Option 3: 4, 3, 2, 1

Option 4: 4, 1, 3, 2

Team Careers360 19th Jan, 2024

Correct Answer: 4, 3, 2, 1


Solution : Given:
1. Nest 2. Neck 3. Neat 4. Near

Step 1: Compare the first and second letters of each word. Since all the words have the same letter N and e, so move on to the next letter.
Step 2: The

13 Views

Question : An observer on the top of a mountain, 500 m above sea level, observes the angles of depression of the two boats in his same place of vision to be 45° and 30°, respectively. Then the distance between the boats, if the boats are on the same side of the mountain, is:

Option 1: 456 m

Option 2: 584 m

Option 3: 366 m

Option 4: 699 m

Team Careers360 25th Jan, 2024

Correct Answer: 366 m


Solution :
Given:
AB = Height of mountain = 500 m
$\angle$ACB = 30°; $\angle$ADB = 45°
C and D ⇒ Positions of boats
Let CD = $x$ m
Solution:
From $\triangle$ABD,
$\tan 45° = \frac{AB}{BD}$ 
⇒ AB = BD
⇒ AB = BD = 500

60 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
Happening repeatedly

Option 1: Recuperate

Option 2: Recurrent

Option 3: Rapport

Option 4: Regression

Team Careers360 24th Jan, 2024

Correct Answer: Recurrent


Solution : The correct choice is the second option.

Recurrent directly conveys the idea of something occurring repeatedly or happening again. It succinctly captures the essence of an event or phenomenon that takes place multiple times.

The meanings of the other options are as follows:

  • Recuperate:
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