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Mathematics
List of top Mathematics Questions
A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. What is the total number of days taken to finish the work?
MAT - 2000
MAT
Mathematics
Time, Speed and Distance
The surface area of a cube is 150 sq cm. What is the length of its diagonal in cm?
MAT - 2000
MAT
Mathematics
Geometry
If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter?
MAT - 2000
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Mathematics
Circles
An inspector rejects.08% of the meters as defective. How many will he examine to reject 2?
MAT - 2000
MAT
Mathematics
Percentage
In a survey, it was found that 65% of the people watched news on TV, 40% read in newspaper, 25% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?
MAT - 2000
MAT
Mathematics
Percentage
x% of y is y% of
MAT - 2000
MAT
Mathematics
Percentage
A circular park of 20-metre diameter has a circular path just inside the boundary of width 1 metre. The area of the path is
MAT - 2000
MAT
Mathematics
Circles
A right-angled triangle has a hypotenuse of 13 cm and one side of 12 cm. Its area is
MAT - 2000
MAT
Mathematics
Triangles
A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price?
MAT - 2000
MAT
Mathematics
Profit and Loss
If two numbers are in the ratio 6:13 and their least common multiple is 312, then the sum of the numbers is
MAT - 2000
MAT
Mathematics
LCM and HCF
If \(\frac{5a + 3b}{2a - 3b} = \frac{23}{5}\), then the value of a: b is
MAT - 2000
MAT
Mathematics
Equations
A travels from B to C a distance of 250 miles in 5.5 hours. He returns to B in 4 hours 40 minutes. His average speed is
MAT - 2000
MAT
Mathematics
Time, Speed and Distance
Two dice are tossed. The probability that the total score is a prime number is
MAT - 2000
MAT
Mathematics
Probability
In how many ways can six different rings be worn on four fingers of one hand?
MAT - 2000
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Mathematics
Permutations and Combinations
What is the next number in the series given below?
53, 48, 50, 50, 47
MAT - 2000
MAT
Mathematics
Sequence and Series
Father's age is 4 times that of his son. 5 years back, it was 7 times. His age now is
MAT - 2000
MAT
Mathematics
Equations
A salesman averages Rs. 240 during a normal 40-hour week. During a sale, his rates are increased by 50%. What is his commission if he puts in 60 hours during the sale ?
MAT - 2000
MAT
Mathematics
Time, Speed and Distance
What is the next number in the series given below ?
2, 5, 9, 14, 20
MAT - 2000
MAT
Mathematics
Sequence and Series
The distance of a focus of the ellipse
$9x^2+16y^2 =144$
from an end of the minor axis is
KCET - 2000
KCET
Mathematics
Ellipse
$\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{7}+\tan^{-1}\frac{1}{18}+.........+\tan^{-1}\left(\frac{1}{n^2+n+1}\right)+....to\infty$
is equal to
KCET - 2000
KCET
Mathematics
Inverse Trigonometric Functions
If
$p \Rightarrow (q \vee r)$
is false, then the truth values of $p, q, r$ are respectively
KCET - 2000
KCET
Mathematics
validating statements
If one end of a diameter of the ellipse
$ 4x^2 + y^2 = 16$
is
$(\sqrt{3},2)$
, then the other end is
KCET - 2000
KCET
Mathematics
Ellipse
The line
$ y = 2x + c$
touches the ellipse
$\frac{x^2}{16}+\frac{y^2}{4}=1$
if c is equal to
KCET - 2000
KCET
Mathematics
Ellipse
The locus of the centre of the circle
\(x^2 + y^2 + 4x \,\cos \,\theta - 2y\, sin \theta - 10 = 0\)
is
KCET - 2000
KCET
Mathematics
Circle
If the normal at one end of a latus-rectum of an ellipse
$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
passes through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equation
KCET - 2000
KCET
Mathematics
Ellipse
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