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36 Views

Question : Select the most appropriate ANTONYM of the word given in brackets to fill in the blank.

I can’t believe that you’re ________ (resolute) enough to not even decide what you want for dinner.

Option 1: reluctant

Option 2: indecisive

Option 3: disinclined

Option 4: gullible

Team Careers360 27th Jan, 2024

Correct Answer: indecisive


Solution : The correct choice is the second option.

Resolute denotes having or showing great determination. Indecisive denotes not providing a definite and clear result. The word indecisive means the opposite of resolute, i.e., doubtful.

The meanings of the other options are as follows:

10 Views

Question : What is the percentage of people below the poverty line estimated in rural areas of India in 2011–12?

Option 1: 25.7%

Option 2: 13.7%

Option 3: 35.9%

Option 4: 21.9%

Team Careers360 26th Jan, 2024

Correct Answer: 25.7%


Solution : The correct answer is 25.7%.

According to a news release from the Commission, the estimated percentage of people living below the poverty line in 2011–12 was 25.7% in rural areas, 13.7% in urban areas, and 21.9% nationwide. However, each state will have a different

17 Views

Question : Which among the following Buddhist Universities is located in Bihar, India?

Option 1: Vallabhi University

Option 2: Somapura University

Option 3: Nalanda University

Option 4: Nabadwip University

Team Careers360 26th Jan, 2024

Correct Answer: Nalanda University


Solution : The correct answer is Nalanda University.

In the ancient Indian kingdom of Magadha (modern-day Bihar), there stood a great Buddhist monastery known as Nalanda, a famous Mahavihara. The founder of the University of Nalanda was Kumaragupta I.

16 Views

Question : Jaws are absent in:

Option 1: Birfds

Option 2: Fishes

Option 3: Protochordates

Option 4: Reptiles

Team Careers360 26th Jan, 2024

Correct Answer: Protochordates


Solution : The Correct Answer is Protochordates

Protochordata and cyclostomata lack jaws. The invertebrate subphylum of the chordata phylum is referred to as protochordata. It contains creatures like tunicates.  Cyclostomata are a subclass of group agnatha that lack jaws, girdles, and paired appendages.  Hagfish and lampreys are

26 Views

Question : If in a $\triangle ABC$, as drawn in the figure, $AB = AC$ and $\angle ACD = 120^{\circ}$, then angle A is equal to:

Option 1: $50^{\circ}$

Option 2: $60^{\circ}$

Option 3: $70^{\circ}$

Option 4: $80^{\circ}$

Team Careers360 26th Jan, 2024

Correct Answer: $60^{\circ}$


Solution :
Given that $AB = AC$ in $\triangle ABC$.
This is an isosceles triangle, such that $\angle BAC = \angle ABC$.
We have, $\angle ACD = 120^\circ$
$\therefore \angle ACB = 180^\circ - 120^\circ = 60^\circ$
Since the sum of angles in a triangle is $180^\circ$.

19 Views

Question : During the British rule, who was the first Inspector General of Forests in India?

Option 1: Salim Ali

Option 2: James Edward Corbett

Option 3: John Shore

Option 4: Dietrich Brandis

Team Careers360 26th Jan, 2024

Correct Answer: Dietrich Brandis


Solution : The correct answer is Dietrich Brandis.

Dietrich Brandis served as India's first Inspector General of Forests. He contributed to the British government's 1865 Indian Forest Act drafting. He made sure a framework was in place so that forests could be managed properly. In 1864,

20 Views

Question : Simplify $\frac{\cos ^4 \theta-\sin ^4 \theta}{\sin ^2 \theta}$.

Option 1: $1-\tan ^2 \theta$

Option 2: $\tan ^2 \theta-1$

Option 3: $\cot ^2 \theta-1$

Option 4: $1-\cot ^2 \theta$

Team Careers360 27th Jan, 2024

Correct Answer: $\cot ^2 \theta-1$


Solution : $\frac{\cos ^4 \theta-\sin ^4 \theta}{\sin ^2 \theta}$
$= \frac{(\cos^2 \theta - \sin^2 \theta)(\cos^2 \theta + \sin^2 \theta)}{\sin ^2 \theta}$
$=\frac{\cos^2 \theta - \sin^2 \theta}{\sin ^2 \theta}$ [As $\cos^2 \theta + \sin^2 \theta = 1$]
$=\frac{\cos^2 \theta}{\sin ^2 \theta}-\frac{\sin^2 \theta}{\sin^2 \theta}$
$=\cot ^2 \theta-1$

28 Views

Question : The perimeter of the top of a rectangular table is 56 metres and its area is 192 m2. What is the length of its diagonal?

Option 1: 22 metres

Option 2: 20 metres

Option 3: 16 metres

Option 4: 18 metres

Team Careers360 26th Jan, 2024

Correct Answer: 20 metres


Solution : Given: The perimeter of the top of a rectangular table is 56 metres and its area is 192 m2.
Use the formulas,
Perimeter = $2(l+b)$
Area = $l\times b$
Length of diagonal = $\sqrt{l^2+b^2}$
Where $l$ and $b$ are length and breadth.

21 Views

Question : ABCD is a cyclic quadrilateral, AB is the diameter of the circle. If angle $\angle ACD=45^{\circ}$, then what is the value of $\angle BAD$?

Option 1: $90^{\circ}$

Option 2: $45^{\circ}$

Option 3: $135^{\circ}$

Option 4: $35^{\circ}$

Team Careers360 26th Jan, 2024

Correct Answer: $45^{\circ}$


Solution :

Since, an angle subtended by the diameter of a circle at the circumference = $90^{\circ}$
⇒ $\angle$ ACB = $90^{\circ}$
$\angle$ BCD = $\angle$ ACD + $\angle$ ACB = $45^{\circ} + 90^{\circ}=135^{\circ}$
Since the opposite angles of a cyclic quadrilateral are supplementary,
$\angle$ BCD +

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