01 A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race.


02 A staircase contains 12 steps. We can climb it 1 or 2 steps. But 8th step contains a snake so we cant step on it. In how many ways can we the top? Please solve this question


03 How many squares are there between 2011 to 2300 ?????


04
xy+yz=63
xz+yz=23
find x+y+z unable to recall the options


05 a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ?


06 *how many square are there between 2001....3003 I don't remember the exact series.

Option:
A) 1
B) 4
C) 2
D) 3


07 If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e.



08 Find the number of numbers from 1 to 100 which are not divisible by any one of 2,3,5,7.


09 12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)?

10. While planning their outing, Abhishek understood that their boat could travel with a speed of 12kmph in still water.The group decided to travel 24 minutes downstream. Aarti had prior experience in that route and
mentioned that the speed of stream was 4kmph.How many kms will the group travel downstream?

a)6.4 b)3.2 c)4 d)4.8

11 An entry in an unshaded square is obtained by adding the entries connected to it from the row above (11 is one such number). Write the value of n.
a)10 b)11 c)9 d)none


12. You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.
a. 180 b. 181
c. 182 d. 178


13. How many words of 11letters could be Formed with all the vowels present only in the even places ,and the consonants only in the odd places,using letters of english alphabet each letter may appear only once.the vowels are A E I O U and consonants are remaining letters of the alphabet .in the answers n! denotes n factorial a)21! B)26!/5! C) 21! /(5! * 5! ) d)21!* 5!/5!


14. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27


15. 50^51^52 /11
a)6
b)4
c)7
d)3
ans is 6 but expln in detail



16. Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all
three are typing at the same time what fraction of their total work does Y do
a)1/3 b)4/13 c)9/23 d)8/29


17. Chauncy, an English bulldog, received 1200 votes in the Mr. Bulldog USA competition, giving him approximately 30 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 70 percent of the total votes?


18. How many number of 3's would be used to type numbers from 1 to 700


19. In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points
for each correctly answered question and 2 points for each unanswered question.An incorrectly answered
question is worth 0 points.Of the following scores which one is not attainable

a)96 b)97 c)94 d)95

20. There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible?

A. 625
b. 3840
c. 5625
d. 11,520

21. 16. If 10 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
a) 80
b) 63
c) 120
d) 1260


22. 15. A person has in is bag 14 notes of Rs. 10 each, 9 notes of Rs. 5 each, 4 notes of Rs. 2 each and 7 notes of Re 1 each. In how many different ways can be contribute to a charitable find?
a) 599 b) 5999 c) 3528
d) 600


23. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?
a) 1/3 b) 2/3 c) 5/9
d) 6/11


24. if the ratio of two number is 3:4 and LCM of the number is 180 then what is the number.


25. The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?


26. If ABC is a quarter circle and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle


27. find the sum of series 2,8,24,64....upto 100 terms


28. 1. How many 6 digit even numbers can be formed from digits 1, 2, 3, 4, 5, 6, and 7 so that the digit should not repeat and the second last digit is even?
a. 6480
b. 320
c. 2160
d. 720


29. 7 noun, 5 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
ans -420