Quantitative Aptitude

Question 41

200 students appeared for GATE and CAT examinations. 60% passed in GATE, 40% passed the CAT and 25% passed both. Find the probability that a student selected at random has failed in both the examinations?

• 1/3
• 1/2
• 2/5
• 1/4

Question 42

Three circles of radius 7cm each are placed in such a way that each touches the other two.The area of portion enclosed by the circles is(√3 = 1.732)

• 6.868 cm²
• 7.686 cm²
• 5.848 cm²
• 7.868 cm²

Question 43

From a point in the interior of an equilateral triangle, the perpendicular distance of the sides are 2√3, 3√3 and 4√3. Find the perimeter of the triangle.

• 48 cm
• 54 cm
• 60 cm
• 64 cm

Question 44

The height of a conical tank is 12cm and the diameter of its base is 32cm. The cost of painting if from outside at the rate of Rs 21 per sq. cm. is

• Rs 21210
• Rs 11120
• Rs 22220
• Rs 21120

Question 45

Water is flowing at the rate of 10km/h through a pipe of diameter 28 cm into a rectangular tank which is 100m long 44m wide. The time taken for the rise in the level of water in the tank be 14 cm is

• 2 hours
• 3 hours
• 4 hours
• 2.5 hours

Question 46

[Tex] \\sqrt{\\frac{1+sin\\theta }{1-sin\\theta }}\\:+\\:\\sqrt{\\frac{1-sin\\theta \\:}{1+sin\\theta \\:}} [/Tex]is equal to

• 2 secθ
• 2 cosθ
• 2 sinθ
• 2 tanθ

Question 47

There are two towers, one on each side of the road just opposite to each other. One tower is 54m high. From the top of this tower, the angles of the depression of the top and foot of the other tower are 30 and 60 respectively. The height of the other tower is:

• 30m
• 32m
• 36m
• 42m