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

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
Q88)
[OA: Option b]

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
Simply put x = 1 and you will get the answer

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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.

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
LCM (60/60,60/36,60/24)
LCM (1,5/3,5/2) = 5 seconds

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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]

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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]

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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)

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
Q22) The coordinates 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]

shashank_prabhu last edited by
CAT 100%iler, 5 times AIR 1, Director  Learningroots, Ex ITC, Pagalguy, TAS
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]