Find the sum to n terms of the series 9 + 99 + 999+ … ?
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Solution
Sunil and Dinesh start from a place P at the same time to reach the another place Q. Sunil travels at a constant speed of 18 kmph,while Dinesh starts with a speed of 10kmph and increases his speed by 2 kmph at the end of every hour. If both of them arrive at Q at the same time,what is the distance between P and Q and how much time did it take for each of them to reach Q ?
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Solution
Let the time taken be t
18t = t⁄2 [2 × 10 +(t-1)2]
So, t = 9 hours
Distance between P and Q= 18t = 162 km
The chart shows the composition by percent of the human body with respect to various elements.
For a man weighing 260 pounds, how much does the carbon in his body weigh ?
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Solution
Carbon accounts for 18% of body weight.18% of 260 = 0.18 × 260 = 46.8 pounds.
There are no effective boundaries when it comes to pollutants. Studies have shown that toxic insecticides that have been banned in many countries are riding the wind from countries where they remain legal. Compounds such as DDT and toxaphene have been found in remote places like the Yukon and other Arctic regions.This paragraph best supports the statement that
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Solution
The support for this option is in the second sentence, which states that in some countries, toxic insecticides are still legal
Ravi and Mahesh have 24 cows and 30 cows respectively.Both of them together hired a grazing field for the whole month of September. Initially Ravi’s cows used for grazing then for the remaining days of the month Mahesh’s cows grazed it. It Ravi has paid ₹3500 and Manish has paid `5000 for grazing then for how many days Ravi used the grazing field ?
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Solution
Ratio of price paid by Ravi and Mahesh =7 : 10
or (24 × x ) : 30 × (30 – x) = 7 : 10
⇒ x = 14
If x≠0 and x≠1, and if x is replaced by 1⁄x everywhere in the expression above, then the resulting expression is equivalent to ?
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Solution
On weekends, Mr. Sharma spends many hours working in his vegetables and flower gardens. Mrs. Sharma spends her free time reading and listening to classical music.Both Mr. Sharma and Mrs. Sharma like to cook.
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Solution
Because Mr. Sharma spends many hours during the weekend working in his vegetable garden, it is reasonable to suggest that he enjoys this work.There is no information to suggest that he does not like classical music. Although Mrs. Sharma likes to cook, there is nothing that indicates she cooks vegetables option (c). Mrs. Sharma likes to read, but there is no information regarding the types of books she reads option (d).
Machine A produces bolts at a uniformrate of 160 every 40 minutes, and Machine B produces bolts at a uniformrate of 100 every 20 minutes. If the two machines run simultaneously. How long will it take them to produce 207 widgets in total ?
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Solution
Machine A produces 160 bolts every 40 minutes;therefore,it produces 80 bolts every 20 minutes.Since Machine B produces 100 bolts every 20 minutes, together they will produce 180 bolts every 20 minutes, or 9 boltsper minute. Substitute this rate into the RT= W equation, using the targets work of 207 bolts for W :
\(t=\frac{207}{9}=23\)minutes
Choose the sentence that is the most clearly written and has the best construction.
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Solution
The verbs got and took agree in tense.
For each of the questions, choose the correct word from the given alternatives which shown the same relationship.nymph :________ :: seraphim: angel
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Solution
A nymph is a maiden, and a seraphim is an angel.