# Question Bank (3) - Quant Mixed Bag - Shashank Prabhu, CAT 100 Percentiler [Geo]

• Q88)

[OA: Option b]

• Simply put x = 1 and you will get the answer

• 2 + 4 + 6 ... + 2k = 2 (1 + 2 + ... k)
= 2k (k + 1)/2
= k (k + 1)
= 79 * 80.
So, k = 79, 2k=158 and because it is an odd number greater than 158, it will be 159

• Have to check the meeting point. Can do it using AP/sum of integers but i guess manual calculation would be far quicker in this context. In the first hour, 6 km, in the second hour, 6.5 km, third hour, 7 km and so on.
6 + 6.5 + 7 + 7.5 + 8 + 8.5 + 9 + 9.5 + 10.
They meet after 9 hours. A would have covered 36 km in 9 hours, so B would have covered the same distance as well.

• LCM (60/60,60/36,60/24)
LCM (1,5/3,5/2) = 5 seconds

• Q98) Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR?

[OA: 93]

• Q1) In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. What is the maximum possible value of the radius of C ?

(A) 2
(B) 4
(C) 8
(D) 16
(E) None of the above

[OA: Option E]

• Q10) What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = (3x/4) - 3?

A) 1.4
B) sqrt (2)
C) 1.7
D) sqrt (3)

• Q22) The co-ordinates of two points P and Q are (– 3, 5) and (6, – 5) respectively. A point R lies on the line 9y + 10x = 7. What is the area of ΔRPQ (in sq.units)? If the answer cannot be uniquely determined, enter 0 as your response.

[OA: 4]

• Q27) What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?
(1) 1 or 7
(2) 2 or 14
(3) 3 or 21
(4) 4 or 28

[OA: Option 4]

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