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ECAT → Engineering Colleges Admission Test (ECAT) Sample Paper Questions from 21 to 25

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21. What is the 5^th term in the expansion of (a+x)⁶ ?
(A) 5ax⁴
(B) 5a²x⁴
(C) 30ax⁴
(D) 30a²x⁴

22. Two dices, one 6-sided and one 4-sided, are thrown. What is the probability that sum of the dots shown on the dices is 3 or 4.
(A) 2/3
(B) 3/5
(C) 7/17
(D) 5/24

23. Which from the following is NOT a group?
(A) Set of integers under addition
(B) Set of integers under multiplication
(C) Set of real numbers under addition
(D) R–{0} under multiplication, where R is the set of real numbers

24. What is the 101^st term of Harmonic Progression 1/2, 1/5, 1/8, …..
(A) 1/300
(B) 1/302
(C) 1/304
(D) 1/306

25. A car moved in a circular path of 58m radius, and make an angle of 45°. What is the distance covered by the car?
(A) 36
(B) 40
(C) 44
(D) 48

ANSWERS: ECAT SAMPLE PAPER QUESTIONS
21. D
22. D
23. B
24. B
25. C