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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) 5*ax*^{4}

(B) 5*a*^{2}*x*^{4}

(C) 30*ax*^{4}

(D) 30*a*^{2}*x*^{4}

**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