ISI Maths - Important Questions

Posted by Ridhika on Mar 31, 2014; 12:40pm
URL: http://discussion-forum.276.s1.nabble.com/ISI-Maths-Important-Questions-tp7585806.html

Hi guys,

I was reccomended to solve the book published by ISI - Mathematics a the 10+2 level so that one can tackle the 1st portion of the ISI paper with ease. Those who are also solving this book or are aspiring for ISI please join this discussion - where we can all keep posting the most difficult questions from it. Anybody who has any idea how to tackle them, please enlighten the rest of us :)

Q11) The digit in the unit position of the integer 1!+2!+..+99! is ?
A)3
B)0
C)1
D)7

Q16) The expression (1+q)(1+q^2)(1+q^4)(1+q^8)(1+q^16)(1+q^32)(1+q^64) where q ne 1 equals
A)(1+q^128)/1-q
B)(1+q^64)/1-q
C){1+q^2^(1+2+..+6)}/1-q
D) none of the above

Q19) 2 contestants runa 3km race along a circular track of length 300m. If their speeds are in the ratio 4:3, how ofen and where would the winner pass the other? (initial start off is not counted as passing)
A) 4 times at starting
B) twice at starting
C) Twice at dist of 225m from starting
D)Twice; once at dist of 75m and then 225m from starting

Q51) 60 students appeared in a test consisting of 3 papers I, II and III. 25 passed in Paper I. 20 in PI. 8 in PIII. 42 passed in at least one of PI and PII, 30 in at least one of PI and PIII, 25 in at least one of Papers II and III. one 1 student passed in all 3 papers. The the num of students who failed in all the papers is:
A)15
B) 17
C) 45
D)33

Q52) A student studying the weather for d days observed:
(i) it rained of 7 days, morning or afternoon
(ii) when it rained in the afternoon, it was clear in the morning
(iii) there were 5 clear afternoons
(iv) there were 6 clear mornings. the d equals:
A) 7
B) 11
C) 10
D)9