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Question : Fill in the blank with the most appropriate choice. In more civilised times, even the most_____ enemies were treated with dignity.
Option 1: explicable
Option 2: vindicable
Option 3: implacable
Option 4: ineducable
Correct Answer: implacable
Solution : The correct option is the third option.
Implacable means unable to be appeased or pacified. In the context provided, it suggests that even the most unyielding or relentless enemies were treated with dignity in more civilised times.
The meanings of the other options are as
Question : Directions: Four numbers have been given, out of which three are alike in some manner and one is different. Select the number that is different from the rest.
Option 1: 240
Option 2: 160
Option 3: 178
Option 4: 176
Correct Answer: 178
Solution : Let's check each option – First option: 240; 240 ÷ 4 = 60 Second option: 160; 160 ÷ 4 = 40 Third option: 178; 178 is not divisible by 4. Fourth option: 176; 176 ÷ 4 = 44
So, only the third option doesn't follow
Question : What is the smallest perfect square which is completely divisible by each of 16, 18, and 36?
Option 1: 144
Option 2: 81
Option 3: 196
Option 4: 169
Correct Answer: 144
Solution : Smallest number divisible by 16, 18 and 36 = LCM (16, 18, 36) = 144 144 is a perfect square itself. Hence, the correct answer is 144.
Question : How many controls are there globally that influence the climate of a particular zone?
Option 1: 8
Option 2: 6
Option 3: 3
Option 4: 5
Correct Answer: 6
Solution : The correct answer is 6.
The climate of a location is influenced by six primary factors: latitude, altitude, atmospheric pressure and wind systems, proximity to the sea (continentality), ocean currents and topographical relief. The curvature of the Earth results in varying amounts of solar
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative. Potato milk is______ another option for those wanting an alternative to cow's milk.
Option 1: though
Option 2: yet
Option 3: so
Option 4: but
Correct Answer: yet
Solution : The correct choice is the second option.
Explanation: In this context, yet would be used as an adverb, meaning "in addition" or "furthermore". It is used to emphasise that potato milk is an additional option, among others, for those seeking an alternative to
Question : Select the option that can be used as a one-word substitute for the given group of words.
Author’s explanatory remarks at the beginning of a book.
Option 1: Preface
Option 2: Foreward
Option 3: Bibliography
Option 4: Biography
Correct Answer: Preface
Solution : The correct choice is the first option.
A preface is an introductory section of a book, written by the author, that provides information about the book's content, context, or purpose.
The meanings of the other options are as follows:
Foreword is an introductory section
Question : Where was the venue of the US Open Tennis Championship before it shifted to the Flushing Meadows?
Option 1: Forest Hills
Option 2: Plaza District
Option 3: Woodland Hills
Option 4: Lexington
Correct Answer: Forest Hills
Solution : The correct answer is Forest Hills.
The venue of the US Open Tennis championship was Forest Hills before it shifted to the Flushing Meadows. Till 1968, the five championships were contested at different locales, and when all these five tournaments were finally hosted at
Question : If $\sin \theta+\cos \theta=\frac{\sqrt{11}}{3}$, then what is $\sin \theta-\cos \theta$?
Option 1: $\frac{\sqrt{7}}{4}$
Option 2: $\frac{\sqrt{7}}{3}$
Option 3: $\frac{\sqrt{5}}{3}$
Option 4: $\frac{\sqrt{5}}{2}$
Correct Answer: $\frac{\sqrt{7}}{3}$
Solution : Given: $\sin \theta+\cos \theta=\frac{\sqrt{11}}{3}$ (equation 1) Squaring both sides of the equation 1, we get, $(\sin \theta+\cos \theta)^2=(\frac{\sqrt{11}}{3})^2$ ⇒ $\sin^2 \theta+\cos^2 \theta+2\sin \theta \cos \theta=\frac{11}{9}$ ⇒ $1+2\sin \theta \cos \theta=\frac{11}{9}$ ⇒ $2\sin \theta \cos \theta=\frac{11}{9}-1$ ⇒ $2\sin \theta \cos \theta=\frac{2}{9}$ (equation 2) Substitute the value
Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: (6 – 60 – 50)
Option 2: (7 – 70 – 68)
Option 3: (8 – 80 – 70)
Option 4: (9 – 90 –80)
Correct Answer: (7 – 70 – 68)
Solution : Let's check the options – First option: (6 – 60 – 50)→6 × 10 = 60; 60 – 10 = 50 Second option :(7 – 70 – 68)→7 × 10 = 70; 70 – 10 = 60 ≠ 68 Third
Question : Find the amount payable on maturity if INR 20,00,000 is invested at 12% per annum for $\frac{3}{2}$ years and interest is compounded half-yearly.
Option 1: INR 23,00,832
Option 2: INR 23,82,032
Option 3: INR 24,00,000
Option 4: INR 23,00,000
Correct Answer: INR 23,82,032
Solution : Given: Principal = INR 20,00,000 Rate = 12% per annum Time = $\frac{3}{2}$ years = 1.5 years As given in the question, interest is compounded half-yearly. $\therefore$ Rate = $\frac{12}{2}$ = 6%. Time = 1.5 × 2 = 3 years The amount payable on
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