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Question : Select the most appropriate option to fill in the blank and complete the collocation.
I had a nice ______ on my birthday with all my friends and relatives.
Option 1: opportunity
Option 2: day
Option 3: experience
Option 4: time
Correct Answer: time
Solution : The correct choice is the fourth option.
Explanation: In the context of a celebration, the collocation "nice time" is often used to convey a positive and enjoyable experience. Nice time is suitable and can be used interchangeably, especially when referring to a birthday celebration.
Question : If $(x+\frac{1}{x})^2=3$, then what is the value of $x^6 + x^{–6}$?
Option 1: 6
Option 2: 2
Option 3: –6
Option 4: –2
Correct Answer: –2
Solution : Given: $(x+\frac{1}{x})^2=3$ We know the algebraic identities, $(x+\frac{1}{x})^2= x^2+\frac{1}{x^2}+2$ and $(x+\frac{1}{x})^3=x^6 + \frac{1}{x^{6}}+3(x^2+\frac{1}{x^2})$ $(x+\frac{1}{x})^2=3$ ⇒ $x^2+\frac{1}{x^2}+2=3$ ⇒ $x^2+\frac{1}{x^2}=3–2$ ⇒ $x^2+\frac{1}{x^2}=1$ (equation 1) Take the cube of equation (1) on both sides, $(x^2+\frac{1}{x^2})^3=1^3$ ⇒ $x^6 + \frac{1}{x^{6}}+3(x^2+\frac{1}{x^2})=1$ ⇒ $x^6 + \frac{1}{x^{6}}+3\times 1=1$ ⇒ $x^6 + \frac{1}{x^{6}}=1-3$
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.
The prospects of surviving any serious illness are improved if the disease is catching early.
Option 1: being caught early
Option 2: caught early
Option 3: No substitution required
Option 4: catch earlier
Correct Answer: caught early
Solution : The most appropriate choice to substitute is the second option.
Explanation: To ensure proper verb tense and maintain parallel structure in the sentence, the correct form is, caught early. The original sentence discusses the prospects of surviving a serious illness when the disease
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Clean India Mission is one of the most (1) _____ and popular missions to have taken place in India. This mission includes a reward to a state and a city. This encourages every citizen to keep the surroundings clean. This cleanliness campaign was (2) _____ by the Indian government at the national level, (3) _____ all the rural towns and urban cities. Its primary objective is to spread awareness of the importance of cleanliness. Slogans are written on the banners and pictures are painted in a very attractive manner to evoke the feeling of cleanliness. After that, a major objective was to teach citizens to (4) _____ of waste mindfully and to provide basic (5) _____ facilities. For this, wet and dry dustbins are kept by every citizen whether it is home or office.
Select the most appropriate option to fill in the blank number 4.
Option 1: show
Option 2: disturb
Option 3: dispose
Option 4: finish
Correct Answer: dispose
Solution : The correct choice is the third option.
For waste, we often use words such as dispose. According to the sentence, the citizens should learn how to dispose of waste. Disposal of waste means the collection, sorting, transporting, and treatment of waste, as well as
Question : With a stretch of about 724 km, which river is one of the most important rivers of peninsular India?
Option 1: Tapi
Option 2: Beas
Option 3: Palar
Option 4: Bhavani
Correct Answer: Tapi
Solution : The correct option is Tapi.
The river Tapi rises in the Madhya Pradesh Satpura Range and runs westward until draining into the Arabian Sea in Gujarat state.
The Tapi River is known for its important role in providing water for agriculture and supporting the livelihoods
Ants, like most insects, have (1) ______ are known as compound eyes. This means their eyes have multiple lenses, (2) ______ in general, most species of ant do not have particularly great eyes for seeing (3) ______ far. Ants can detect movement and see the areas around them, but (4) ______ more on senses and information they get from their legs and antennae (5) ______ from their eyes.
Select the most appropriate option to fill in the blank number 3.
Option 1: some
Option 2: many
Option 3: enough
Option 4: very
Correct Answer: very
Very is an adverb that is used to intensify the degree; in this case, the degree of "far". This helps convey that ants cannot see something that is too far for them.
Question : Select the correctly spelt word.
Option 1: Rudimentry
Option 2: Concious
Option 3: Coalece
Option 4: Reliant
Correct Answer: Reliant
Solution : The fourth option is the correct answer.
The correctly spelt word is reliant. It means being dependent on or having confidence in something or someone for support or assistance.
The meanings of the other options are as follows:
Rudimentry: The correct spelling is rudimentary. It
Question : A man borrowed Rs. 50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs. 15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such instalments?
Option 1: Rs. 16,900
Option 2: Rs. 15,800
Option 3: Rs. 15,200
Option 4: Rs. 16,200
Correct Answer: Rs. 16,900
Solution : At the end of the first year, The remaining amount = (50000 × 1.1) – 15000 = 55000 – 15000 = Rs. 40000 At the end of the second year, The remaining amount = (40000 × 1.1) – 15000 = 44000 – 15000 =
Question : From an aeroplane just over of river, the angle of depression of two palm trees on the opposite bank of the river is found to be $60^{\circ}$ and $30^{\circ}$, respectively. If the breadth of the river is 400 metres, then the height of the aeroplane above the river at that instant is: $(\sqrt{3} = 1.732)$
Option 1: 173.2 metres
Option 2: 346.4 metres
Option 3: 519 .6 metres
Option 4: 692.8 metres
Correct Answer: 173.2 metres
Solution : Let, $BC$ = River = $400$ m $AD$ = Height of plane = $H$ m $BD=x$ m $CD=(400-x)$ m From $\Delta ABD$, $\tan 60^{\circ} = \frac{AD}{BD}$ $⇒\sqrt3 = \frac{H}{x}$ $⇒H = \sqrt3x$ $⇒x=\frac{H}{\sqrt3}$--------------(i) From $\Delta ADC$, $\tan 30^{\circ} = \frac{AD}{CD}$ $⇒\frac{1}{\sqrt3} = \frac{H}{400-x}$ $⇒\sqrt3H
Question :
Match the following statements:
Option 1: a-iv, b-iii, c-i, d-ii
Option 2: a-iii, b-i, c-iv, d-ii
Option 3: a-iv, b- ii, c- i, d-iii
Option 4: a-iv, b-i, c-ii, d-iii
Correct Answer: a-iv, b-i, c-ii, d-iii
Solution : The correct option is a-iv, b-i, c-ii, d-iii.
The Champakulam boat race is a famous annual event held in Kerala. It is one of the oldest and most prestigious boat races.
The Somnath Fair is a religious celebration held in Gujarat.
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