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1) If a1, a2, a3.........an are such that each term is 2 times the preceeding term & p1, p2, p3.......pn are such tht each term is 3 times the preceeding term. If a1= xxxx(some value) and p1 = xxxx(some value) then find the least number of n such thatPn > An?
2)If a <>
Col A: ac/b
Col B: ac
3)Col A: (7!)^2
Col B: 13!
4)If 180 is the number of ways in which letters of a word is arranged, then which of the following words can be arranged in the same number of ways?
A. CABBIE
B. DEBBIE
C. CHAD
D. DEXTER
E. MIKEY
5)The following represents a data and frequency table.
Data Frequency
5 15
10 20
15 25
20 15
25 20
Col A: The Probability of a data selected at 1/2 random
Col B: 10
6)Given two circles that are concentric having radii 2, 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ‘T’, then find the length of ‘ST’?
7)Given 2 <>
Given a square PQRS with side length 8 as above and ‘Q’, ‘S’ points are centers of the circles. Find the area of the shaded region?
Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?
If the smallest distance from ‘p’ to any point on the circle is 5 and the largest distance from ‘p’ to any point on the circle is 11, then find the distance between centre and the point ‘p’?
Col B: 0
8)Given an equation of the line 2x+3y =0 and given a point (2,1) asked to compare slopes.
9)Given a rectangular block with measurements 12, 6 & 3. Find the volume of smallest cube formed by joining these rectangles?
10)If N = (36)^(36) & P = (71)^(71), then
Col A: Units place of N+P
Col B: Units place of NxP
11)Given 'N' is a positive integer, such that when its multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
a) N*(6/7)
b) N/(5/2)
& so on...
12)For a cylinder of radius 'r' and height 'h'
Col A: Total surface area
Col B: Curved surface area
13)There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July?(provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B:3
14)A certain amount is increased by 30% from 1976-1984 and increased by 82% from
1976-1986.
Col A: Find the percentage increase from 1984-1986
Col B: 50%
15)
Given a square PQRS with side length 8 as above and ‘Q’, ‘S’ points are centers of the circles. Find the area of the shaded region?
16)
Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?
17)
If the smallest distance from ‘p’ to any point on the circle is 5 and the largest distance from ‘p’ to any point on the circle is 11, then find the distance between centre and the point ‘p’?
18)If |2 - k| = |2 + k|, then
Col A: k
Col B: 0
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