CAT Question 173
The total number of integers pairs (x, y) satisfying the equation x + y = xy is
1. 0
2. 1
3. 2
4. None of the above
CAT Question 172
Each family in a locality has at most tow adults, and no family has fewer than 3 children. Considering all the families together, there are adults than boys, more boys than girls, and more girls than families, Then the minimum possible number of families in the locality is
1. 4
2. 5
3. 2
4. 3
CAT Question 171
CAT Question 170
In the adjoining figure I and II are circles with P and Q respectively, The two circles touch each other and have common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4: 3. It is also known that the length of PO is 28 cm.
Q.1. What is the ratio of the length of PQ to that of QO?
1. 1 : 4
2. 1 ; 3
3. 3 : 8
4. 3 : 4
Q.2. What is the radius of the circle II?
1. 2 cm
2. 3 cm
3. 4 cm
4. 5 cm
Q.3
CAT Question 169
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away form the post then how far (in metres) is son standing form his father?
1. 0.9
2. 0.75
3. 0.6
4. 0.4
CAT Question 168
In NutsAndBolts 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 cleaned for10 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?
1. 130 minutes
2. 135 minutes
3. 170 minutes
4. 180 minutes
CAT Question 167
N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?
1. 5
2. 7
3. 9
4. None of the above
CAT Question 166
Karan and Arjun run a 100-meter race, where Karan beats Arjun 10 metres. To do a favour to Arjun, starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
1. Karan and Arjun reach the finishing line simultaneously.
2. Arjun beats Karan by 1 metre
3. Arjun beats Karan by 11 metres.
4. Karan beats Arjun by 1 metre.
CAT Question 165
CAT Question 164
