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Mathematics
List of top Mathematics Questions asked in CUET (UG)
A man was allotted a work for 30 days on the condition that he would get ₹ 10 per day as wage if he reports for work and if he remains absent he would have to pay ₹ 2 as penalty for the day. Ultimately he got ₹ 216. For how many days he remained absent ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Time and Work
A ladder of length 30 m is leaning against a wall making an angle of 30° with the horizontal. Find the distance between the foot of the ladder and the wall.
CUET (UG) - 2023
CUET (UG)
Mathematics
Heights and Distances
A 10 m long, 4 m high and 24 cm thick wall is to be built using bricks having dimensions 25 cm × 12 cm × 8 cm. Number of bricks required is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of Cube, Cuboid and Cylinder
Amit can do a task in 10 days and Bhanu can do the same task in 40 days. In how many days will the task be completed if they work together ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Time and Work
A student goes to school from his residence at a speed of
\(2\frac{1}{2}\)
km/h and reaches school 6 minutes late. If he travels at a speed of 3 km/h, he reaches 10 minutes before time. What is the distance of his school from his residence ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Speed, Time and Distance
In the figure, O is centre of the circle. What is the measure of ∠ABC ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Circles
The sum of the first four terms of an A.P. is 56 and the sum of its last four terms is 112. If its first term is 11, then find the number of terms.
CUET (UG) - 2023
CUET (UG)
Mathematics
Arithmetic Progressions
If
\(A: B: C=1:4: 7 \)
and
\(B = (2x) % \)
\(%\)
\(\%\)
of
\((A+C)\)
, then
\(x \)
is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Ratio
The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.
CUET (UG) - 2023
CUET (UG)
Mathematics
Profit and Loss
The marked price of a chair is
\(150%\)
\(\%\)
of its cost price. A discount of
\(30\%\)
is given while selling the chair. What is the profit percentage?
CUET (UG) - 2023
CUET (UG)
Mathematics
Profit and Loss
Two years ago, population of a city was
\(16,52,600 \)
which increased by
\( 10\%\)
in the first year and by
\(15\%\)
in the second year. Find the present population of the city.
CUET (UG) - 2023
CUET (UG)
Mathematics
Percentage
A sum of
\( 10,000\)
becomes
\( 14,400\)
on compound interest in
\(2\)
years. What is the rate of interest per annum?
CUET (UG) - 2023
CUET (UG)
Mathematics
Compound Interest
The area of a circle is
\(154 \text{ }cm^2\)
. Find the circumference of the circle. Take
\(\pi=\frac{22}{7}\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Areas Related to Circle
If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm
2
) is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Area of Rhombus
If point
\(B(0, 1)\)
is equidistant from points
\( A(5, -3) \)
and
\(C(x, 6)\)
, then find the values of
\( x\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Distance Formula
Find the median of the following data:
\(42, 19, 46, 17, 8, 35, 26, 39, 29\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Median
Three coins are tossed once. Probability of getting no head is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Probability
Find the average of squares of first five natural numbers.
CUET (UG) - 2023
CUET (UG)
Mathematics
Average
Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag?
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Equations
In a
\(\angle\)
\(ABC\)
right angled at A, if
\(\triangle\)
\(ABC=60°\)
and
\( AC=4\)
units, then length of
\(BC\)
(in units) is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Triangles
The heights of two right circular cones are in the ratio
\(1 : 2\)
and the circumferences of their bases are in the ratio
\(3: 4.\)
Find the ratio of their volumes.
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
A, B and C can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day?
CUET (UG) - 2023
CUET (UG)
Mathematics
Time and Work
Which of the following speeds is maximum?
CUET (UG) - 2023
CUET (UG)
Mathematics
Speed, Time and Distance
A thief is spotted by a policeman from a distance of
\(200 \)
meters. The policeman starts chasing at a speed of
\( 10 \frac{km}{h}\)
while the thief is running at a speed of
\( 8\frac{km}{h}\)
. After how much time (in minutes) will the thief be caught?
CUET (UG) - 2023
CUET (UG)
Mathematics
Speed, Time and Distance
If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A+ B.
CUET (UG) - 2023
CUET (UG)
Mathematics
Divisibility and Factors
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