Quant Test 106
Directions for Questions from 2 to 3:
Answer the question on the basis of the information given below.
When two unbiased dice are tossed simultaneously, the numbers that appear on the top surface of the two dice are ‘a’ and ‘b’.
1. If x + y + z = 1 and x, y, z are non-negative numbers, then what is the minimum possible value of the
following expression: [2 – x + yz]– 1 + [2 – y + xz]–1 + [2 – z + xy]– 1.
27/16
25 / 9
38 / 25
3 / 2
12/ 5
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2. What is the probability that (a × b) is a perfect square?
5/26
1/3
7/36
1/6
2/9
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3. What is the probability that ab is a perfect square?
1/2
2/3
23/36
11/18
5/13
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4. In a unit square ABCD, points E and F are marked on the sides AB and BC respectively such that AE = BF. G is the point of intersection of the line
segments DE and AF. What is the minimum possible length (in units) of the line segment BG?
1/root(2)
1/2
root(8)-1/7
1/3
1/6
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5. Mr. Chaalu while buying cloth uses a faulty meter tape which actually measures 110 cm and while selling cloth, he uses a faulty meter tape which
actually measures 90 cm. If he buys the cloth at a discount of 5% on the marked price and sells it on a discount of 10% on the same marked price,
then what is his percentage gain or loss?
15.8% profit
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4.21% loss
5% loss
25% profit
None of these
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6. How many six-digit numbers can be made by using the first 6 natural numbers such that the digit at the unit’s place is greater than the digit at the
hundred’s place and the number thus formed is a multiple of 4? (Repetition of digits is not allowed.)
96
108
114
78
120
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7. A function f is defined for