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CUET (PG)
List of top Questions asked in CUET (PG)
Find the compound interest when Rs 22,500 is invested for 18 months at 8% p.a. if the interest is calculated every 6 months (correct to nearest Rs).
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
10 men and 15 women can do a work in 6 days. One man can do the work in 100 days. In how many days can a woman do the work?
CUET (PG) - 2023
CUET (PG)
Mathematics
Time and Work
If 4/5 of A= 60% of B = 0.75 of C, then A:B:C is
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
A triangle can have:
CUET (PG) - 2023
CUET (PG)
Mathematics
Triangles
If the mean of 18, 19, x, 25 and 26 is 21, then find the mean of 5, 11, 13, 19 and (3x-1)
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
Find a single discount equivalent to successive discounts of 10%, 20% and 25%
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
If \(\frac{\sin{\theta} + \cos{\theta}}{\sin{\theta} + \cos{\theta}} = \frac{1}{77}\), then find the value of \(\sin^4{\theta} - \cos^4{\theta}\):
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
Which of the following is false for linear programming problem (LLP)?
CUET (PG) - 2023
CUET (PG)
Mathematics
Linear Programmig Problem
If
\(A=\begin{bmatrix} 7 & 9 & -2 \\ -2 & 0 & 3 \end{bmatrix}\)
and
\(B=\begin{bmatrix} 1 & 0 & 5 \\ 6 & 3 & 2 \end{bmatrix}\)
then A+B =
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrices
If a:b= 3:5, then (-a
2
+b
2
): (a
2
+b
2
) is :
CUET (PG) - 2023
CUET (PG)
Mathematics
Simplification
The simple interest on a certain sum of money for
\(2\frac{1}{2}\)
years at 12% per annum is RS.40 less than the simple interest on the same sum for
\(3\frac{1}{2}\)
years at 10% per annum. Find the sum
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.
CUET (PG) - 2023
CUET (PG)
Mathematics
Mensuration
By selling an electric iron for ₹700, a shopkeeper incurred a loss of 30%. At what price should he have sold the electric iron to gain 40% ?
CUET (PG) - 2023
CUET (PG)
Mathematics
Profit and Loss
A water tank can be filled by two pipes P and Q in 60 minutes and 30 minutes respectively. How many minutes will it take to fill the empty tank if pipes P and Q are opened for first half of the time, after which only pipe Q is opened for next half of the time?
CUET (PG) - 2023
CUET (PG)
Mathematics
Time and Work
Calculate the value of median from the given data:
2.90, 3.57, 3.73, 2.98, 3.64, 3.75
3.30, 3.62, 3.76, 3.38, 3.66, 3.76
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
A sum of money doubles itself on simple interest in 10 years. Find the rate of interest per annum.
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
An athlete takes as much time in running 200 m as a car takes in covering 500m. The distance covered by the athlete during the time the car covers 2 km is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Speed, Time and Distance
If
\(cot^2 45\degree-sin^2 45\degree = K sin^2 30\degree x tan^2 45\degree xsec^2 45\)
, then the value of K is
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
The area of a rhombus is 120 cm
2
and length of its one diagonal is 24 cm. Find the perimeter of the rhombus (in cm).
CUET (PG) - 2023
CUET (PG)
Mathematics
Perimeter
The monthly income and expenditure of a person were ₹10,000 and ₹6,000 respectively. Next year, his income increased by 15% and his expenditure increased by 8%. Then the percentage increase in his savings is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Percentage
If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then
CUET (PG) - 2023
CUET (PG)
Mathematics
Trigonometric Equations
The two adjacent sides of a cyclic QUADRILATERAL are 2 and 5 and the angle between them is 60°. If the third side is 3, the remaining fourth side is -
CUET (PG) - 2023
CUET (PG)
Mathematics
Quadrilaterals
The top of a hill observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. The height of the hill is -
CUET (PG) - 2023
CUET (PG)
Mathematics
Heights and Distances
Given below are two statements :
Statement I: If the roots of the quadratic equation
\(x^2-4x-log_3a=0\)
are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation
\((5+ \sqrt2)x^2 - (4+\sqrt5)x + (8+2\sqrt5) = 0\)
is 2.
In the light of the above statements, choose the correct answer from the options given below:
CUET (PG) - 2023
CUET (PG)
Mathematics
Quadratic Equations
The mean deviation from the mean of the AP a, a+d, a+2d,..... a + 2nd is
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
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