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questions
List of practice Questions
A shopkeeper claims to sell rice at cost price. He uses a false weight with the intention of selling rice at 25% profit. After selling Rice to a customer, he realizes that the customer has paid 10% less than what he should have paid. What is the actual profit percentage made by the shopkeeper?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Profit and Loss
How many ten-digit numbers can be formed using all the digits of 2435753228 such that odd digits appear only in even places?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Permutation and Combination
The price of an apple is twice that of an orange. The price of an orange is thrice that of a banana. If the price of an apple increases by 10%, price of an orange increases by 30% and the price of a banana increases by 20%. Find the percentage increase in the price of 20 apples, 20 oranges and 20 bananas.
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Number Systems
Meera and Sarika attempted to solve a quadratic equation in x. Sarika made a mistake in reading the coefficient of x and obtained the roots as 12 and 16. Meera made a mistake in reading the constant term of the equation. She obtained the roots as 22 and 6. The corrects root(s) is (are) :
(A) -16
(B) -12
(C) 12
(D) 16
Choose the correct answer from the options given below :
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Algebra
A roller is 4 m long and has a diameter of 0.7 m. It takes exactly 2000 rotations of the roller to level a road. If the cost of using the roller is Rs. 4 per square metres, then the total cost of levelling the road is : Assume, $\pi=\frac{22}{7} $
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Volume of Cube, Cuboid and Cylinder
In a company, the average salary of the boy is Rs. 50000. The average salary of all the employees is Rs. 48000. There are 80 boys in the company and the average salary of the girl is Rs. 40000. What is the number of girls working in the company?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Average
If a is $\frac{3}2$ times of b, b is $\frac{3}{4}^{th}$ of c and d is $\frac{1}4 ^{th}$ of c, the ratio of a and d is
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Algebra
A 100-meter long train crosses a 200-meter long and 20-meter wide bridge in 20 seconds. What is the speed of the train in Km/hour?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Problem on Trains
The dimensions of a floor are 18 x 24. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
LCM and HCF
L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Time and Work
In June-2020, the ratio of boys to girls in a college was 3:2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7:5. What was the total number of students in the college in June-2020?
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Ratio and Proportion
Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:
CMAT - 2021
CMAT
Quantitative Ability and Data Interpretation
Time and Work
Let A and B be subsets of the universal set U. If n(A) = 24 , n (A∩B)=8 and n(U) = 63, then n( A'∪B') is equal to
KEAM - 2021
KEAM
Mathematics
Sets
Two materials A and B having respective work functions 3 eV and 4 eV are emitting photoelectrons of same maximum kinetic energy of 1eV. If the wavelength of incident light on A is 500 nm, then that of light incident on B is
KEAM - 2021
KEAM
Physics
Wavelength and Frequency
The value of the integral, $\int_\limits{1}^{3}\left[ x ^{2}-2 x -2\right] dx ,$ where $[x]$ denotes the greatest integer less than or equal to $x$, is :
JEE Main - 2021
JEE Main
Mathematics
integral
If the curve $y=a x^{2}+b x+c, x \in R,$ passes through the point (1,2) and the tangent line to this curve at origin is $y = x ,$ then the possible values of $a , b , c$ are :
JEE Main - 2021
JEE Main
Mathematics
applications of integrals
John's mother has 4 children, one child is named April, another child is named May, another child is named June. What is name of the fourth child ?
NATA - 2021
NATA
General Aptitude
General Aptitude
Shade the feasible region for the inequalities
\[ x + y \geq 2, \quad 2x + 3y \leq 6, \quad x \geq 0, \quad y \geq 0 \]
in a rough figure.
COMEDK UGET - 2021
COMEDK UGET
Mathematics
lpp graphical method
If A, B, and C are mutually exclusive and exhaustive events of a random experiment such that P(B) = (3/2) P(A) and P(C) = (1/2) P(B), then P(A ∪ C) equals:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Probability
Find the maximum value of f(x) = (1 / (4x
2
+ 2x + 1)).
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Maxima and Minima
If (√3 + i)
100
= 2
99
(a + ib), then a
2
+ b
2
is equal to:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Complex numbers
Number of terms in the binomial expansion of (x + a)
53
+ (x - a)
53
is:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Binomial Expansion
The coefficient of x
10
in the expansion of 1 + (1 + x) + (1 + x)
2
+ … + (1 + x)
20
is:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Binomial Expansion
If f(x) = { ax + 3, for x ≤ 2
a(x - 1), for x > 2 }, then the values of a for which f is continuous for all x are:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Continuity
The equation of the normal to the curve y = (1 + x)
y
+ sin
-1
(sin
2
x) at x = 0 is:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
Tangents and Normals
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