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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
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:
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%
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
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
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.
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".
I went to sleep last night, (almost as soon as) my head hit the pillow.
(1) no sooner then
(2) as quickly as
(3) almost as quickly as
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The fourth option is the correct answer: No improvement.
This is because ''almost as soon as'' which means 'almost immediately' is used in the correct context here indicating that the speaker fell asleep immediately after laying their head on the pillow.
Question : Jaws are absent in:
Option 1: Birfds
Option 2: Fishes
Option 3: Protochordates
Option 4: Reptiles
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
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: $80^{\circ}$
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 $180^\circ$.
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
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,
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: $1-\cot ^2 \theta$
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 $\cos^2 \theta + \sin^2 \theta = 1$] $=\frac{\cos^2 \theta}{\sin ^2 \theta}-\frac{\sin^2 \theta}{\sin^2 \theta}$ $=\cot ^2 \theta-1$
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
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.
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: $35^{\circ}$
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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