Quant Test 123
1. Three elements a, b and c are selected from the set A = 2, 3, 5, 6, 7 to form a three-digit number ‘abc’, where a < b < c. Similarly, two elements p
and q are selected from the set B = 0, 1, 8, 9 to form a two-digit number ‘pq’, where p > q. Let, M be the total number of all the possible values of
‘abc’ and N be the total number of all the possible values of ‘pq’. What is the value of (M – N)?
7
6
5
4
1
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2. The sum of the reciprocal of integers ‘a’ and ‘b’ is equal to the sum of twice the reciprocal of ‘c’ and the reciprocal of ‘10a’. What is the value of (a +
b)? (a, b, c are three distinct integers between 0 and 10).
2c – 1
2c
2c + 1
2c + 3
None of these
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3. Find the sum of all the integers N > 1 such that the each prime factor of N is either 2, 3 or 7 and N is not divisible by any perfect cube greater than
1.
2820
4004
5186
3184
6186
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4. In “Dairy”, milk is processed to produce “Pure Ghee” and “SNF”. One kg of milk should be processed to produce 5 gms of pure ghee and 80 gms of
SNF. Pure Ghee and SNF are sold at Rs.120/kg and Rs.200/kg respectively. If the cost of processing the milk is Rs.6/kg and the fixed cost of running
the “Dairy” for a day is Rs.300, then which of the following can be the total quantity (in kgs) of milk processed per day and the corresponding cost
(in Rs./kg) of milk such that the “Dairy” makes a profit of 10% per day?
120, 12
120, 10
150, 15
150, 12
150, 10
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5. How many natural numbers ‘k’ exist such that (2k + 3) divides (24k2 + 201)?
4
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0
6
7
8
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6. Given that Q=1!+2!+3!+4!+......+(n−1)!+n!. For how many values of ‘n’, Q is a perfect square?
1
2
3
4
More than 4
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