1 How many factors of 1296 will have total number of factors exactly equal to 3?a.1b.2c.3d.4

2 If (52a)b = (169)11 and a and b differ by two , find (a + b).a.6b. 8c.10d.14

3 Find the number of integral solution to |x| + |y| + |z| = 15.a.902b.728c.734d.904

4 A circle is inscribed in a right angled triangle . The point of tangency with the circle divides one of the sides into two segments 6 cm and 10cm in length . The area of the triangle is ?(in cm2)a. 192b. 320c. 200d. 240

5 Two friends A and B leave at 8 A.M everyday to meet each other at point P after two hours. On one day A walks at 5/6 th of the usual speed while B starts one hour late , so he increases his speed by 25% . Now A takes 1/2 hour more than usual to meet B and they meet half kilometer away from point P. Find out the speeds of A and B and total distance traveled by them. ?a.5 kmph 5 kmph 20kmb.6kmph 4kmph 22kmc.6kmph 4kmph 20kmd.4kmph 6kmph 20km

6 11 * 22 * 36 * 412 * 520 . . . . . . 25 terms . Find the highest power of 75 that can divide the given series?a.66%b.42%c.74%d.cant be determined

7 A man had three daughters , who celebrated their birthday on the same day , but were born in 1955 , 1978 and 1979 respectively . On one such birthday , if the product of their ages was divided by their respective ages in turn , the sum of quotients , would have been 74 . The age of the oldest daughter isa.6 yrsb.8 yrsc.7yrsd.None

8 Find the remainder when (((1112)13)14) is divided by 9 ?a.8b.1c.2d.0

9 There are 3 clubs X , Y and Z in a town with 40 , 50 and 60 members respectively . While 10 people are members of all the 3 clubs , 70 are members in only one club. How many belong to exactly two clubs?a.20b.25c.50d.70

10 In a six node network , two nodes are connected to all the other nodes. Of the remaining four , each is connected to four other nodes . What is the total number of links in the network ?a. 13b. 15c. 18d. none of the above

11 If s(n) is the set of all factors of n , then what is the probability that a randomly chosen element of s(1050) is a multiple of 5 ?a. 1/5b. 1/4c. 1/3d. 2/5

12 In a circular pond, a fish starts from a point on the edge , swims 600 feet due east to reach another point on the edge , turns south and swims 800 feet to reaxh yet another point on the edge. The diameter of the pond isa. 600ftb. 700ftc. 800ftd. 1000ft

13 Let A , B and C be distinct positive integers satisfying A < B < C and A+B+C=k . What is the smallest value of k that does not determine A , B , C uniquely ?a. 9b. 6c. 7d. 8

14 A box contains 6 black and 5 white balls. Each ball is of a different size. The probability that the black ball selected is the smallest black ball , isa. 1/8b. 1/3c. 1/6d. 2/3

15 If log 7 log5 v(x + 5) + vx ) = 0 , find the value of x .a.1b.0c.2d.none

16 ections for Questions 26 to 28. Two people P and Q moved between two points A and B. Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. when P had covered one–sixth of the distance between the points A and B. Q had also covered the same distance. 26. The point where P and Q would meet isa. closer to Ab. Exactly between A and Bc. Close to Bd. P and Q will not meet at all

17 How many hours would P take to reach B?a. 2b. 5c. 6d. 12

18 How many more hours would P (compared to Q) take to complete his journey?a. 4b. 5c. 6d. 7

19 If the HM between two positive numbers is to their GM as 12:13 , then the numbers could be in the ratioa. 12:13b. 1/12:1/13c. 4:9d. 2:3

20 Let Un+1 =2Un + 1 ; (n =0 ,1 ,2 . . . .) and U0 = 0 . Then U10 is nearest toa.1023b.2047c.4095d.8195

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