Quant Boosters - Hemant Malhotra - Set 13
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Q21) I have x cards with me. If I distribute them among 7 boys equally, then I'll have 2 cards left with me. Similarly, if I distribute them among 8, then I'll have 6 left and if I distribute among 9, I'll have 3 left. What is the minimum number of cards that I have in hand if no card is left after I distribute them among 3 boys or 5 boys?
[OA : 30]
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Q22) A woman and a girl went to a fruit market. The woman bought 5 apples, 3 mangoes and 7 oranges for Rs.51. The girl bought 10 apples, 5 mangoes and 14 oranges for Rs.98. Find the cost of each mango.
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Q23) In how many ways 20 similar mangoes can be distributed among 4 men such that no one can get more than 10 and each one can get at-least one mango.
OA : 19C3 - 4(9C3)
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Q24) Find number of ways in which sum on 3 dice rolled is 15
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Q25) What will be the last digit of 2^3^4^5 - 2^3^5^4?
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Q26) ABC is a 3 digit number such that ABC = 5 * (AB + BC + CA)
Find total number of possible values for ABC
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100A + 10B + C = 5 * (10A + B + 10B + C + 10C + A)
100A + 10B + C = 55 * (A + B + C)
45(A - B) = 54C
so A - B = 6/5 * C
so C = 0 then A - B = 0 then A will vary from 1 to 9 so 9 values
when C = 5 then A - B = 6 then A will vary from 6 to 9 so 4 values
so 9 + 4 = 13 values
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Q27) Find number co-primes to 300 which are greater than 200 but less than 300
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Q28) Find number of triangles with integral sides if perimeter is 50
[OA : 52]
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Q29) Find the number of trailing zeros if 75^25 is written in base 25
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Q30) Find the number of non negative integral solutions to the equation a + b + c = 13, such that a, b and c are distinct
