Quant Test 63
1. A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle, whose longer and shorter sides
are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the
area of the smaller rectangle?
4 SQRT(2)
2 SQRT(2)
SQRT(2)
3SQRT(2)
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2. In Nuts And Bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after
production of every 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs
to be cleaned for 10 minutes after production of every 1500 bolts. If both the machines start production at the same time, what is the minimum
duration required for producing 9000 pairs of nuts and bolts?
130 minutes
135 minutes
170 minutes
180 minutes
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3. Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults
than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is
7
5
2
3
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4. Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far
apart are they (in kms) one minute before they collide?
1/12
1/6
1/4
1/3
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5. Let f(x) = ax2 – b |x|, where a and b are constants. Then at x = 0, f(x) is
maximized whenever a> 0, b >0
maximized whenever a > 0, b < 0
minimized whenever a > 0, b > 0
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minimized whenever a > 0, b < 0
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6.
What is the val