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Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Give your answers (1) / in your own words (2) / as far as practical. (3)/ No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The word practical should be replaced with possible, which is an adjective that means able to be done or achieved.
Therefore, the correct sentence is: "Give your answers in your own words as far as
Question : There is a 4% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again is:
Option 1: $3\frac{3}{13}$%
Option 2: $4$%
Option 3: $4\frac{1}{13}$%
Option 4: $3\frac{11}{13}$%
Correct Answer: $3\frac{11}{13}$%
Solution : Let the volume of liquid be 100. After freezing, it increases by 4% = 104 After melting, it decreases by = $\frac{4}{104} × 100$ = $3\frac{22}{26}$ = $3\frac{11}{13}$% Hence, the correct answer is $3\frac{11}{13}$%.
Question : If $x+\frac{1}{x}=-2$, then the value of $x^p +x^q$ is: (where $p$ is an even number and $q$ is an odd number)
Option 1: –2
Option 2: 2
Option 3: 1
Option 4: 0
Correct Answer: 0
Solution : Given: $x+\frac{1}{x}=-2$ $x^2 + 1 = -2x$ ⇒ $x^2 + 2x + 1 = 0$ ⇒ $(x+1)^2 = 0$ ⇒ $x = -1$ Given expression, $x^p + x^q$, where p is even and q is odd, $(-1)^{even} = 1$ and $(-1)^{odd} = -1$ $\therefore$ The
Question : ____________% can be taken as the average value for the amount of organic matter that is present at each step of the food chain and reaches the next level of consumers.
Option 1: 5
Option 2: 20
Option 3: 10
Option 4: 2
Correct Answer: 10
Solution : The correct answer is 10.
10% can be taken as the average value for the amount of organic matter that is present at each step of the food chain and reaches the next level of consumers. Generally, it is considered that an average of
Question : Given below are four sentences, three of which are jumbled. Pick the option that gives the correct order. A. Spread butter on two slices of bread B. Then, arrange the tomatoes over the cucumbers C. Arrange cucumber pieces on one slice of buttered bread. D. Sprinkle salt and pepper and place the other slice of bread over it.
Option 1: ABCD
Option 2: ADCB
Option 3: ACBD
Option 4: ACDB
Correct Answer: ACBD
Solution : The third option is correct.
While arranging the parts of the passage, we should find some grammatical or contextual connections between them:
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 93, ?, 102, 111, 123, 138
Option 1: 95
Option 2: 96
Option 3: 98
Option 4: 97
Correct Answer: 96
Solution : Given: 93, ?, 102, 111, 123, 138
Add the multiples of 3 to the previous term to obtain the next term. 93 + 3 = 96; 96 + 6 = 102; 102 + 9 = 111; 111 + 12 = 123; 123 + 15 =
Question : What will be the net discount (in percent) after giving three successive discounts of 10%, 20%, and 30%?
Option 1: 50.4%
Option 2: 49.6%
Option 3: 45.3%
Option 4: 48.4%
Correct Answer: 49.6%
Solution : Net discount = $x+y-\frac{xy}{100}$, where $x$ and $y$ are two successive discounts. Total discount of 10% and 20% = $10+20-\frac{\text{10×20}}{100}$ = 30 – 2 = 28% Now, total discount of 28% and 30% = $28+30-\frac{\text{28×30}}{100}$ = 58 – 8.4 = 49.6% Hence, the correct answer
Question : Select the most appropriate option to fill in the blank. I think it is quite ______ that your parents still hold hands.
Option 1: adorable
Option 2: adorably
Option 3: adore
Option 4: adores
Correct Answer: adorable
Solution : The first option is the correct answer.
"Adorable" is an adjective that fits well in the context of the sentence. It expresses a positive sentiment about the action of parents holding hands. It implies that the action is charming, endearing, or cute.
Therefore, the complete
Question : The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Option 1: 60
Option 2: 54
Option 3: 48
Option 4: 72
Correct Answer: 60
Solution : The length of the direct common tangent between two circles, $=\sqrt{d^2 - (r_1 - r_2)^2}$, where $r_1,r_2$ are the radii of the circles and $d$ is the distance between their centres. Given that $d$ = 61 cm, $r_1$ = 35 cm, and $r_2$ = 24
Question : Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Then the number of sides of each polygon is:
Option 1: 10 and 20
Option 2: 4 and 8
Option 3: 3 and 6
Option 4: 5 and 10
Correct Answer: 5 and 10
Solution : Given that the sides of the two regular polygons are in the ratio 1 : 2. The interior angles of these polygons are in the ratio 3 : 4 Let the number of sides of the polygons be $n$ and $2n$ respectively. The
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