CUET UG Mathematics — Applied-Mathematics previous year questions with solutions.
A telephone exchange receives on an average 5 calls per minute. The probability of receiving 3 or less calls per minute is :
Match List - I with List - II. | List - I | List - II | |----------|-----------| | (A) In a binomial distribution, if $n = 10$, $q = 0.25$, then its mean is | (I) 12 | | (B) If the mean of a binomial distribution is 6 and its variance is 3, then p is | (II) 7.5 | | (C) In a binomial distribution, the probability of getting a success is $\frac{1}{4}$ and the standard distribution is 3, then its mean is | (III) 16 | | (D) If the mean and variance of a binomial distribution are 4 and 3 respectively, then the number of trials is | (IV) $\frac{1}{2}$ | Choose the correct answer from the options given below :
If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is :
The prices and the quantities of three commodities are given are : | Commodity | Price (₹) in Year 2006 | Price (₹) in Year 2009 | Quantities in Year 2006 | Quantities in Year 2009 | |-----------|------------------------|------------------------|--------------------------|--------------------------| | P | 100 | 90 | 12 | 10 | | Q | 80 | $x$ | 8 | 7 | | R | 60 | 50 | 4 | 6 | The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of $x$ is :
Consider the following data : | Year | 2012 | 2013 | 2014 | 2015 | 2016 | |------|------|------|------|------|------| | Sales (in ₹ crores) | 8 | 10 | 7 | 9 | 12 | The equation of the straight line trend by the method of least squares is :
Consider the following hypothesis test : $H_0 : \mu \leq 20$ $H_1 : \mu > 20$ A sample of 81 produced a sample mean of 20.55. The population standard deviation is 3. The value of the test statistic is :
A simple random sample consists of four observations 7, 8, 10, 7. The point estimate of population standard deviation is :
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 called | (II) Statistic | | (C) A special characteristic of a sample is called | (III) Standard error | | (D) The standard deviation of the sampling distribution of a statistic is known as its | (IV) Parameter | Choose the correct answer from the options given below :
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 $2x + 3y \leq 180$, $x + y \geq 60$, $x \geq 3y$, $x \geq 0$, $y \geq 0$ 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 : | Required | Chair | Table | Available quantity | |----------|-------|-------|--------------------| | Wood | 3 | 5 | 150 | | Labour | 1 | 2 | 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 | (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 a | (III) feasible region | | (D) The constraints $x, y \geq 0$ 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 :
$5^{100} (\mod 9) =$
An asset costing Rs. 50,000 has a useful life of 4 years. The estimated scrap value is Rs. 10,000. By using linear depreciation method, the book value at the end of the second year is :
Rahul can run 34.4 m in the given time as Amit runs 50 m. By how much distance Rahul is away from Amit at the winning point, in a two km race ?
The minimum value of $ax + by$, where $xy = c^2$ and a, b, c are positive, is :
A company intends to create a sinking fund to replace at the end of 20$^{th}$ year assets costing Rs. 2,50,000. Then the value of the amount to be retained out of profits every year if the interest rate is 5% is : [Given $(1.05)^{20} = 2.6532$]
Using simple average of relatives method, the price index for 2011, taking 2001 as base year, was found to be 127. If $\Sigma p_0 = 263$, then x and y from the following data are : | Commodities | A | B | C | D | E | F | |---|---|---|---|---|---|---| | Prices (in Rs.) in 2001 | 80 | 70 | x | 20 | 18 | 25 | | Prices (in Rs.) in 2011 | 100 | 87.50 | 61 | 22 | y | 32.50 |
The present value of a perpetuity of Rs. 2,500 payable at the end of each year, if money is worth 10% compounded annually, is :