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CAT2004 SECTION - MATHS _ CAT4MBA

# A 1 3 0 min u te s b 1 3 5 min u te s c 1 7 0 min u te

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Unformatted text preview: a . 1 3 0 min u te s b . 1 3 5 min u te s c. 1 7 0 min u te s d . 1 8 0 min u te s e .No t Atte mp te d 17. A rectangular s heet of paper, when halved by folding it at the m id point of its longer s ide, res ults in a rectangle, whos e longer and s horter s ides are in the s am e proportion as the longer and s horter s ides of the original rectangle. If the s horter s ide of the original rectangle is 2, what is the area of the s m aller rectangle? a . 4 √2 b . 2 √2 c. √2 d . No n e o f th e a b o ve e .No t Atte mp te d DIRECTIONS for Questions 18 to 20: Ans wer the ques tions on the bas is of the inform ation given below. In the adjoining figure, I and II are circles with centres P and Q res pectively. The two circles touch each other and have a com m on tangent that touches them at points R and S res pectively. This com m on tangent m eets the line joining P and Q at O. The diam eters of I and II are in the ratio 4:3 It is als o known that the length of PO is 28 cm . 18. What is the ratio of the length of PQ to that of QO? a . 1 :4 b . 1 :3 c. 3 :8 d . 3 :4 e .No t Atte mp te d 19. What is the radius of the circle II? a . 2 cm b . 3 cm c. 4 cm d . 5 cm e .No t Atte mp te d 20. The length of SO is a . 8 √3 cm b . 1 0 √ 3 cm c. 1 2 √3 cm d . 1 4 √3 cm e .No t Atte mp te d SECTION II Sub-Se ction II-B Number of Questions : 15 DIRECTIONS for Questions 21 to 22: Ans wer the ques tions independently of each other. 21.In the adjoining figure, chord ED is parallel to the diam eter AC of the circle. If Ð CBE = 65 degree, then what is the value of Ð DEC? a . 3 5 d e g re e b . 5 5 d e g re e c. 4 5 d e g re e d . 2 5 d e g re e e .No t Atte mp te d 22. On a s em icircle with diam eter AD, chord BC is parallel to the diam eter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC? a. 7 b . 7 .5 c. 7 .7 5 d . No n e o f th e a b o ve e .No t Atte mp te d DIRECTIONS for Questions 23 and 24: Ans wer the ques tions on the bas is of the inform ati...
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