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MATHS-SET4
1 Find the reminder of 2100 when divided by 3?
a.3
b.0
c.1
d.2
2 Find the reminder that the number 1989*1990*19923 gives when divided by 7:
a.0
b.1
c.5
d.2
3 rection for Question 3 to 7 If sachin Tendulkar walks into bat after the fall of the fifth wicket and has to share patenerships with ganguly , kumble ,harbhajan , srninath and Yohannan, who have batted normally, defensively , defensively, defensively and defensively respectively While tendulkar has batted normally, aggressively, aggressively, aggressively and Aggressively respectively in each of the five partnerships that lasted for 12,10,8,5 and 10 overs respectively, sharing strike equally with ganguly and kepping two-thirds of the strike in his other four partnerships, then answer the following questions 3. How many runs did Sachin score during his innings?
a.128
b.212
c.176
d.None
4 The highest partnership that tendulkar shared in was worth:
a.60
b.61
c.62
d.58
5 The above partnership was shared with:
a.Ganguly
b.Yohanan
c.Kumble
d.cannot be determined
6 India proceeded to win the match based on the runs scored by the last five partnerships (assuming the last wicket pair remained unbeaten 6. what could be the maximum score at which Tendulkar could have come into bat?
a.103 for5
b.97 for 5
c.104 for 5
d.98 for 5
7 For question number6, what could be the minimum score at which tendulkar could have come to bat:
a.103 for5
b.97 for 5
c.104 for 5
d.98 for 5<
8 The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 9a.m. And 9.35 a.m
a.183.3 cm2
b.366.6 cm2
c.244.4cm2
d.188.39cm2
9 A dice is rolled six times. One, two, three, four, five and six appears on consecutive throws of dices. How many ways are possible having 1 before 6?
a.120
b.360
c.240
d.380
10 How many rectangles can be formed out of a chessboard?
a.204
b.1230
c.1740
d.1296
11 In a room there are 7 persons. The chance that two of them were born on the same day of the week is
a.1080/75
b.2160/75
c.540/74
d.None
12 A man receives a pension starting with Rs100 for the first year. Each year he receives 90% of what he received previous year. Find the maximum total amount can receive if he lives forever.
a.Rs110
b. Rs1000
c.Rs1200
d.Rs900
13 P (3,1), Q (6,5) and R (x,y) are three points such that the angle PRQ is right angle and the area of triangle PRQ is 7. The number of such points R that are possible is
a.1
b.2
c.3
d.4
14 In the above rectangle ABCD, E and F are the points on BC such that AB: BE: EF: FC=1:2:1:4. Which of the following is true of the values ?EAF and ?ACF?
a. ?EAF>?ACF
b.?EAF=?ACF
c.?EAF >?ACF
d.Can not be determined
15 If three squares are chosen at random from the squares 8*8 chessboard, then find the probability that exactly two of them are of the same co lour?
a.9/21
b.16/21
c.14/21
d.18/21
16 For what value/s of X does A assumes its maximum value, when A= minimum [24-8X-X2, X2 +9X-6]?
a.24
b.9
c.18
d.6
17 The three sides of right-angled triangle have integral lengths and also form an arithmetic progression. A possible length of one one of the sides is:
a.22
b.91
c.82
d.56
18 In a triangle ABC, AC=BC=60 cm. P and Q are the circum center and the centroid of ABC respectively. If ?B=?C , then what is the length of PQ?
a.11
b.13
c.17
d.19
19 On a certain sum, the difference between the CI and the simple interest for the second year is Rs3,600 and the same for the third year is Rs7740 . What is the sum?
a.160000
b.120000
c.180000
d.Can’t be determined
20 If the cube of product of the digits of the number "XYZ" is not divisible by 5 , what is the number of factors of the six-digit numbers , "XYZXYZ"?
a.32
b.72
c.48
d.Cannot be determined
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