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Question : If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?
Option 1: 70.65%
Option 2: 79.56%
Option 3: 68.25%
Option 4: 75.15%
Correct Answer: 79.56%
Solution : Let the side of the equilateral triangle be $a$. Area of an equilateral triangle with side $a = (\frac{\sqrt{3}}{4})a^{2}$ Side increased by 34% So, new side $= a\times(\frac{134}{100})$ $= \frac{67a}{50}$ Area of an equilateral triangle with a new side $=(\frac{\sqrt{3}}{4})(\frac{67a}{50})^{2}$ $= \frac{4489\sqrt{3}a^{2}}{10000}$ Change in area
Question : Directions: Which of the given figures when placed in the 5th position would continue the series that is established by the first four figures?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. The arrow within the box repeatedly changes direction. It starts by pointing upwards, then downwards, then upwards again, and so on. 2. Two shapes square and triangle move corner by corner in a clockwise direction.
So, following the
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Anger is the most dangerous (1) _________as we lose control of (2) ________when in its grip. The (3) _________of such behaviour can be severe. The first (4) _________of anger is that harsh words may (5) _________the other person deeply. Many relationships are affected (6) __________because of anger, which may cause (7) _________and hatred. What are we (8) __________from anger? Nothing. It can disturb the people (9) _________you. Anger may become your biggest weakness, and you may be (10) __________others to take advantage of it.
Question: Select the most appropriate option to fill in the blank No. 5.
Option 1: interest
Option 2: involve
Option 3: touch
Option 4: affect
Correct Answer: affect
Solution : The correct choice is the fourth option.
Explanation: In this context, the sentence discusses the consequences of anger, specifically highlighting that harsh words have a significant impact on the other person. The verb affect is the most suitable choice, as it accurately communicates the
Question : Directions: Which number will replace the question mark (?) to complete the given series? 55, 42, 31, 22, 15, 10,?
Option 1: 7
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 7
Solution : Given: 55, 42, 31, 22, 15, 10, ?
Subtract the consecutive odd numbers in decreasing order (starting from 13), to get the missing number in the series.
So, 7 is the missing term in the series. Hence, the first option is correct.
Question : A train runs at an average speed of 85 km/hr. Find the time taken by the train to cover a distance of 1275 km.
Option 1: 15 hours
Option 2: 14 hours
Option 3: 17 hours
Option 4: 12 hours
Correct Answer: 15 hours
Solution : Given: Speed = 85 km/hr Distance = 1275 km We know that, Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{1275}{85}= 15$ hours Hence, the correct answer is 15 hours.
Question : Which of the institutions has the final authority to interpret the Constitution of India?
Option 1: Parliament
Option 2: Supreme Court of India
Option 3: President
Option 4: Attorney General Of India
Correct Answer: Supreme Court of India
Solution : The correct option is the Supreme Court of India
The Supreme Court of India has the final authority to interpret the Indian Constitution. The Supreme Court, as the highest judicial body in the country, has the power of judicial review, which includes
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: DCBA
Option 2: HGFE
Option 3: PONM
Option 4: IJKL
Correct Answer: IJKL
Solution : Let's check the options –
First option: DCBA; D – 1 = C; C – 1 = B; B – 1 = A Second option: HGFE; H – 1 = G; G – 1 = F; F – 1 = E Third option: PONM; P
Question : Select the misspelt word.
Option 1: sense
Option 2: swallow
Option 3: survey
Option 4: strech
Correct Answer: strech
The correct spelling of the word meaning to extend or lengthen is "stretch". In the provided options, "strech" contains a spelling error as it lacks the second "t". The correct form should include "stretch" with two 't's
Question : What is the Least Common Multiple of lengths 80 cm, 90 cm, and 112 cm?
Option 1: 4250 cm
Option 2: 5040 cm
Option 3: 5680 cm
Option 4: 4840 cm
Correct Answer: 5040 cm
Solution : 80 = 2 × 2 × 2 × 2 × 5 90 = 2 × 3 × 3 × 5 112 = 2 × 2 × 2 × 2 × 7 LCM = 2 × 2 × 2 × 2 × 3 × 3
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? × and –, 8 and 4 I. 4 + 3 × 8 – 2 ÷ 1 = 3 II. 8 × 2 – 4 + 6 ÷ 2 = 11
Option 1: Both I and II
Option 2: Only II
Option 3: Neither I nor II
Option 4: Only I
Correct Answer: Only II
Solution : Given: I. 4 + 3 × 8 – 2 ÷ 1 = 3 II. 8 × 2 – 4 + 6 ÷ 2 = 11
Let's check each equation after interchanging signs and numbers according to the instructions. On interchanging the signs and numbers
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