1. Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.
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Quantitative Aptitude - Practice Exercise 12 (Number System)
1. The square of a positive integer is more than its five times by 14. What is the positive integer?
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Quantitative Aptitude - Practice Exercise 11 (Number System)
Solve the following and check with the answers given at the end.
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Quantitative Aptitude - Practice Exercise 5 (Number System + misc)
1. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
(a). 0
(b) .1
(c).-1
(d). 4
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Quantitative Aptitude - Practice Exercise 4 (Number System)
1). If (32) ^ (x-2) = 64 / (8^x).
Find the value of x.
Options: (a) - 2 (b) 3 (c) 2 (d) - 3
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Quantitative Aptitude - Practice Exercise 1 (Number System)
•If the HCF of two numbers is H, the numbers can be assumed as H × a and H × b such that a and b are coprime.
•While finding the largest/smallest number that leaves particular remainders when divided by certain numbers, do not forget to first eliminate options based on the remainder and divisor combinations, e.g. a number leaving a remainder of 5 on division by 8 has to be odd; a number leaving a remainder of 3 on division by 15 has to have the unit digit as 3 or 8; etc.
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Factors, Multiples, HCF and LCM
•To find the highest power of x that divides N!, keep dividing N successively by x and the addition of all the quotients is your answer. (Successive division means dividing the quotient of the earlier division). While this is the process of getting the answer, do understand the concept behind find the highest power as it may be used in other application. The interpretation of the highest power of x that divides a factorial is that if from 1 × 2 × 3 × 4 × 5 × 6 × …… × N, if all the powers of x is segregated, how many will they amount to. E.g. From 19!, if we segregate all powers of 3 we will have something as follows:
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Highest power dividing a product/number
• Non-terminating but recurring nmubers are rational and hence can be expressed in the form p/q.
• Now, let us see how can we find thee recurring form of .4444444……
Let x=0.44444…..
Therefore, 10x=4.4444…
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Converting recurring number to p/q form
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