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Mathematics
List of top Mathematics Questions
Let $f(x) = \begin{cases} |x|, & \quad \text{for}\, 0 < | x | \le 2 \\ 1, & \quad \text{for} \, x = 0 \end{cases}$ then at x = 0, f has
JEE Advanced - 2000
JEE Advanced
Mathematics
Application of derivatives
I derive an annual income of Rs. 688.25 from Rs. 10,000 invested partly at 8% p.a. and partly at 5% p.a. simple interest. How much of my money is invested at 5%?
MAT - 2000
MAT
Mathematics
SI & CI
A worker is paid Rs. 56 for 35 hour week. Upto 40 hours, he is paid at the normal rate and on overtime, 1.5 times the normal. How many hours did he work to get Rs. 88?
MAT - 2000
MAT
Mathematics
Time, Speed and Distance
X is what percent of \(\frac{4}{5}th\) of X?
MAT - 2000
MAT
Mathematics
Percentage
The distance of the point
$'\theta'$
on the ellipse
$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
from a focus is
KCET - 2000
KCET
Mathematics
Ellipse
In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students ?
MAT - 2000
MAT
Mathematics
Set Theory
Cube root of 658503 is
MAT - 2000
MAT
Mathematics
Surds and Indices
A bought 4 bottles of beer and B bought one bottle of lager, lager per bottle costing twice that of the beer. C bought nothing but paid Rs. 50 for his share of the drink which they mixed together and shared equally. If C's Rs. 50 covered his share, then what is the cost of the lager?
MAT - 2000
MAT
Mathematics
Commercial Maths
In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers ?
MAT - 2000
MAT
Mathematics
Venn Diagrams
Two rockets approach each other, one at 42,000 mph and the other at 18,000 mph. They start 3256 miles apart. How far are they apart (in miles) 1 minute before impact?
MAT - 2000
MAT
Mathematics
Time, Speed and Distance
What is the value of \(\frac{P + Q}{P - Q}\) if \(\frac{P}{Q} = 7\) ?
MAT - 2000
MAT
Mathematics
Equations
In a G.P., the first term is 5 and the common ratio is 2. The eighth term is
MAT - 2000
MAT
Mathematics
Sequence and Series
Square root of 117649 is
MAT - 2000
MAT
Mathematics
Surds and Indices
How much water must be added to 100 cc of 80% solution of boric acid to reduce it to a 50% solution?
MAT - 2000
MAT
Mathematics
Mixtures and Allegations
If the arithmetic mean of two numbers is 5 and geometric mean is 4, then the numbers are
MAT - 2000
MAT
Mathematics
Elementary Mathematics
A house costs C rupees. later it was sold for a profit of 25%. What is the capital gains tax if it is 50% of the profit?
MAT - 2000
MAT
Mathematics
Percentage
If an angle is its own complementary angle, then its measure is
MAT - 2000
MAT
Mathematics
Geometry
A wire is in the form of a circle of radius 35 cm. If it is bent into the shape of a rhombus, what is the side of the rhombus?
MAT - 2000
MAT
Mathematics
Geometry
Which of the following equations has real roots?
MAT - 2000
MAT
Mathematics
Equations
What is the value of the following expression?
(1 + x) (1 + x
2
) (1 + x
4
) (1 + x
8
) (1 - x)
MAT - 2000
MAT
Mathematics
Equations
In a triangle ABC, ∠A = 90
0
and D is mid-point of AC. The value of BC
2
- BD
2
is equal to
MAT - 2000
MAT
Mathematics
Triangles
In a house, there are six 40-watt lamps which are on for 5 hours a day and three 80-watt fans which are on for 10 hours a day. If electricity costs Rs. 2 per kilowatt hour, what is the monthly electricity bill?
MAT - 2000
MAT
Mathematics
Commercial Maths
A driver's income consists of his salary and tips. During one week his tips were \(\frac{5}{4}\) of his salary. What fraction of his income came from tips?
MAT - 2000
MAT
Mathematics
Percentage
What is missing figure in the expression given below ?
\(\frac{16}{7}×\frac{16}{7}-\frac{*}{7}×\frac{9}{7}+\frac{9}{7}×\frac{9}{7} = 1\)
MAT - 2000
MAT
Mathematics
Equations
The surface area of a cube is 150 sq cm. What is the length of its diagonal in cm?
MAT - 2000
MAT
Mathematics
Geometry
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