Numeric theory Geometry Probability Logarithm Algebra
100
P =1234567891011.............9989991000

Find the remainder when the number P is divided by 16?

A. 7
B.9
C.11
D.13
D.13
100
(-4, 6) is reflected over the y-axis. What are the coordinates of the image?

a.(-6, 4)
b.(4, -6)
c.(4, 6)
d.(-4, -6)
C. (4,6)
100
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?
a) 4/5 b) 2/7
B. 2/7
100
Write 4^5= 1024 in logarithmic form.
log4 1024=5
100
Which real numbers are equal to their cubes?
0 , 1 , -1 are all equal to their respective cubes.
200
P =1234567891011.............9989991000

Find the remainder when P is divided by 9?
A.8
B.7
C.1
D.6
C. 1
200
(9, 3) is reflected over the x-axis. What are the coordinates of the image?

a(9, -3)
b(-9, 3)
c(-9, -3)
d(3, 9)
A.(9,-3)
200
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident ?
a) 5% b) 15%
c) 35% d) 45%
C. 35%
200
solve for x
log5 X=2
25
200
Write 4*10-2 as a decimal.
0.04
300
Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?
A.144
B.168
C.192
D.None of these
C.192
300
(8, -1) is reflected over the line y = x. What are the coordinates of the image?

a(-8, -1)
b (-1, 8)
c(1, -8)
d (-8, 1)
B.(-1,8)
300
Two dice are tossed. The probability that the total score is a prime number is :
a) 1/6 b) 5/12
c) 1/2 d) 7/9
B. 5/12
300
Calculate
log3 234
4.966
300
Write 0.12*10-3 as a decimal.
0.00012
400
What is Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pie
A.86
400
True or false? A parallelogram features three pairs of parallel sides?
False (two)
400
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?
a) 2/5 b) 3/4
c) 3/5 d) 3/10
A. 2/5
400
Calculate log100/log10
2
400
Write 2 log3 x + log3 5 as a single logarithmic expression.
= log3 x2 + log3 5 = log3(5x2)
500
What is Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?

A.14
B.16
C.18
D.20
B.16
500
True or false? A scalene triangle has two sides of equal length
False (all sides are unequal)
500
A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is :
a) 4/19 b) 7/19
c) 12/19 d) 21/95
B. 7/19
500
Calculate log3 9/ log2 8
2/3
500
Factor the algebraic expression 6x2 - 21xy + 8xz - 28yz.
= 3x(2x - 7y) + 4z(2x - 7y) = (2x - 7y)(3x + 4z)






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