Quant Test 78
1. Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the
intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
Between 0 and 90
Between 0 and 30
Between 0 and 60
Between 0 and 75
Between 0 and 45
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2. If ABCD is a square of side 2 cm, then what is the area of triangle EBC if the measure of the angle ∠ABE is 60°?
1
2
3
4
5
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3. Two boats start from the opposite banks of a river simultaneously. They meet at a distance of 410 m from one of the banks and continue sailing
further till they reach the opposite banks. They take rest for 1 hr each and start off the return journey. Now they meet at a distance of 230 m from
the other bank. Find the distance between the two banks. Note: (Assume that river water is almost still)
750 m
840 m
1100 m
1200 m
1000 m
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4. An ‘n’ digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible ‘n’ digits
numbers exceeds 10000, then what is the minimum value of n?
5
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9
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5. What is the remainder when 36001 is divided by 13?
9
10
4
3
6
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6. Three triangular pyramid shaped dice, each having the faces numbered 1, 2, 3 and 4 were rolled simultaneously. What is the probability that the
sum of the numbers on the three faces appearing at the bottom is at least 8?
35/ 64
29/ 64
1 /2
33 /64
15 /32
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7. Himesh said to Reshamiya “My wife is six years older than your daughter who is one-sixth the age my great-grand