List of top Mathematics Questions

Match List I with List II
LIST I LIST II
A.A special characteristic of a population is called I.Sample Size
B.The number of statistical individuals in a sample is calledII.Statistic
C.A special characteristic of a sample is calledIII.Standard error
D.The standard deviation of the sampling distribution of a statistic is known as itsIV.Parameter
Choose the correct answer from the options given below:
The present value of a perpetual income of x paybale at the end of each 6 months is ₹ 1,80,000. If the money is worth 5% compounded semi-annually, then the value of x is ₹:
A person buys a flat for which he makes down payment of ₹7,50,000 and the balance is to be paid in 10 years by monthly instalments of ₹22,000 each. If the bank charges interest at the rate of 12% per annum, then the actual price of the flat using flat rate system is:
A car costing ₹8,00,000 has scrap value of ₹3,00,000. If the book value of car at the end of fourth year is ₹6,00,000, then the useful life of the car is:
The minimum value of z=3x+6y subject to the constraints \(2x+3y≤180\), \(x+y≥60\), \(x≥3y\), \(x≥0\), \(y≥0\) is:
A carpenter earns a profit of ₹50 and ₹80 on one chair and one table respectively. The requirement and availability of wood and labour are tabled as:
RequiredChairTableAvailable
Quantity
Wood
Labour		3
1		5
2		150
56
The number of chairs and tables in appropriate units to be manufactured for maximum profit are, respectively:
Match List I with List II
LIST I LIST II
A.The common region determined by all the linear
constraints of a L.P.P. is called corner point		I.corner point
B.A point in the feasible region which is the intersection
of two boundary lines is called,		II.non-negative
C.The feasible region for an LPP is always aIII.feasible region
D.The constraints \(x, y≥0\) describes that the
variables involved in a LPP are		IV.convex polygon
Choose the correct answer from the options given below:
The set of all positive integers less than 50 forming the equivalence class of 8 for modulo 11 is:
If \(x=3at^2\), \(y=3at^4\) then \(\frac{dy}{dx}\) is:
In the equation of trend line \(y_t=a+bx\), a and b represent:
If Mr. Ravi borrows a sum of ₹1,50,000 at an interest rate of 10% (flat) for a tenure of 3 years, then his EMI based on above data is (approximately) ₹:
Which of the following statements are true ?
(A) Central limit theorem states that the sampling distribution of the mean (\(\bar x\)) approaches a normal distribution as the sample size increases.
(B) As per Central Limit Theorem, when the sample size increases, the mean (\(\bar x\)) for the data becomes closer to the mean of overall population.
(C) The shape of t-distribution does not depend on degree of freedom.
Choose the correct answer from the options given below :
Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?
The area of a triangle is 9y cm2. Find the value of y if its area is equal to the area of an equilateral triangle having side 6 cm.
If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :
The mean and the median of a certain data are 13.3 and 13.5 respectively. Find the mode.
The probability of getting a correct answer to a question is \(\frac{x}{12}\). If the probability of not getting the correct answer is \(\frac{2}{3}\), then what is the value of x ?
In an examination the marks of six boys are 48, 59, 57, 37, 78, and 57 respectively. The average marks of all the six boys are :
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 ?
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.
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 :
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 ?
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 ?
In the figure, O is centre of the circle. What is the measure of ∠ABC ?
Circle with O as the centre.
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.