CAT2004 SECTION - MATHS _ CAT4MBA

# What is the s um of the firs t 6002 term s of this s

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Unformatted text preview: aj -2 for j ≥ 3. What is the s um of the firs t 6002 term s of this s equence? a . -1 0 0 .3 3 b . -3 0 c. 6 2 .3 3 d . 1 1 9 .3 3 e .No t Atte mp te d 29.The rem ainder, when (152 3 + 232 3 ) is divided by 19, is a. 4 b . 15 c. 0 d . 18 e .No t Atte mp te d 30. In the adjoining figure, the lines repres ent one-way roads allowing travel only northwards or only wes twards . Along how m any dis tinct routes can a car reach point B from point A? a . 15 b . 56 c. 1 2 0 d . 336 e .No t Atte mp te d 31. Let C be a circle with centre P0 and AB be a diam eter of C. Suppos e P1 is the m id point of the line s egm ent P0 B, P2 is the m id point of the line s egm ent P1 B and s o on. Let C1 , C2 , C3 , ...... be circles with diam eters P0 P1 , P1 P2 , P2 P3 ... res pectively. Suppos e the circles C1 C2 , C3 , .... are all s haded. The ratio of the area of the uns haded portion of C to that of the original circle C is a. 8 : 9 b . 9 : 10 c. 1 0 : 1 1 d . 11 : 12 e .No t Atte mp te d 32. Let u = (log2 x)2 -6 log2 x + 12 where x is a real num ber. Then the equation xu = 256, has a . n o s o lu tio n fo r x b . e xa ctly o n e s o lu tio n fo r x c. e xa ctly tw o d is tin ct s o lu tio n s fo r x d . e xa ctly th re e d is tin ct s o lu tio n s fo r x e .No t Atte mp te d 33. A new flag is to be des igned with s ix vertical s tripes us ing s om e or all of the colours yellow, green, blue and red. Then, the num ber of ways this can be done s uch that no two adjacent s tripes have the s am e colour is a . 12 x 81 b . 16 x 192 c. 2 0 x 1 2 5 d . 24 x 216 e .No t Atte mp te d 34. If the lengths of diagonals DF, AG and CE of the cube s hown in the adjoining figure are equal to the three s ides of a triangle, then the radius of the circle circum s cribing that triangle will be a . e q u a l to th e s id e o f th e cu b e b . √3 time s th e s id e o f th e cu b e c. 1 /√ 3 time s th e s id e o f th e cu b e d . imp o s s ib le to fin d fro m th e g ive n in fo rma tio n e .No t At...
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