CAT4MBA

 Q1. A stream is flowing along a side of a rectangular field of area 7200 m2 . If the three sides are fenced then what is the least length of the border ?
a. 420 m
b. 360 m
c. 240 m
d. 244 m

Direction for Q2 & Q3
In the figure given below, two circles of 50 cm radius are overlapping partially. The common chord of both the circle is of 10 cm in length.

Q2. What is the common area ?
a. 25(pi– 2) cm²
b. 80pi?– 240 cm²
c. 50(pi?– 2) cm²
d. 25pi?– 2 cm²

Q3. The length of AB is :
a. 10(sqrt2– 1) cm
b. 4sqrt2 + 5 cm
c. 5(sqrt3– 1) cm
d. 5sqrt3 – 6 cm

Q4. If PS = E, then which of the following is true ?

a. PS ² = RQ ² + QS ²
b. RQ < PR + RS
c. C ² – E ² = B 2 – (A – E) ²
d. (C + E) < B ² – (A – E) ²

Q5. A cylinder filled with oil has a base of radius 8 cm. If we want to raise the level of oil by 3 cm then how many solid spheres of radius 2 cm should be dropped to raise the level of oil by 3 cms.
a. 18
b. 16
c. 22
d. 15

Q6. If A, B, C is not a triangle and the coordinates of point A, B, C are respectively (1, –2), (2, 4) and (5, s) then the
value of s is :
a. 23
b. 15
c. 35
d. 22

Q7. A rectangular box has a base whose length is twice its breadth. The volume of the box is 72 cm3. The material cost is Rs. 10 per square cm and the material of the base is Rs. 5 per square cm. What is the value of the breadth of the box to bear the minimum cost?
a. 1.1 cm
b. 3.8 cm
c. 7.2 cm
d. 5.2 cm