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National Cricket Academy offers two different pricing packages for cricket coaching. Under the ‘Regular’ pricing plan, classes can be bought for a flat rate of Rs. per hour. Under the ‘Exclusive’ pricing plan, after paying an initial fee of Rs. , classes can be availed for a rate of Rs. per hour. If Karan buys the ‘Exclusive’ pricing plan, how many classes does he need to take in order to have spent exactly less than he would have under the ‘Regular’ plan?
(a)
(b)
(c)
(d)
(e)

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Important Questions on Quantitative Skills
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A student took a test in which marks were given for each correct answer and marks were deducted for an incorrect answer. If the test had questions and the student attempted all the questions and got marks in total, what is the difference between the number of correct and incorrect answers?

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Let for all real . Find the value of

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For what value of , the given set of equations would have no solution?
and

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If are positive integers such that , find the value of .

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On January , Ajit put Re in his piggy bank. Every day, he put in more than the total amount of money already in the piggy bank. Which of the following expressions gives the total amount of money in Ajit’s piggy bank at the end of January?

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A person saves more each year than in the previous year. If he started with in the first year, how many years would he take to save (excluding interest)?

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Manoj plans to work at a coffee shop during his summer holidays. He will be paid as per the following schedule: at the end of the first week, he will receive . At the end of each subsequent week, he will receive, plus an additional amount equal to the sum of all payments he has received in the previous weeks. How much money will Manoj be paid in total if he works for weeks at this coffee shop?

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If the second term of a geometric progression is and the fifth term is , then what is its tenth term?
