CUET Mathematics Applied Mathematics > Time Based Data PYQs

Irregular variation in a time series are not caused by :

For the given 7 values 5, 7, 9, 2, 2, 3, 4 the five year moving averages are

For a given data of 5 observation $\sum y = 311$, $\sum x^2 = 10$ and $\sum xy = 90$. The equation of the trend line is :

The increase in the sale of shawls during winters is an example of :

The price index of sugar in 2019 compared to 2016 is 120. If the cost of sugar was Rs.25 per kg in 2016 then the cost in 2019 is:

Given $\sum p_0 q_0 = 800$, $\sum p_0 q_1 = 1500$, $\sum p_1 q_1 = 1300$ and $\sum p_1 q_0 = 900$, where subscripts 0 and 1 are used for base year and current year respectively. The Paasche's index number is:

Given that p$_0$ and p$_1$ represent base and current prices of a commodity, q$_0$ and q$_1$ refer to the base and current quantities, then the formula used to calculate price relatives is :

The rise in prices before Christmas is an example of

Which of the following statements are correct ? (A) Index number are free from units (B) Index number represents specialised averages in percentage (C) $P_{01} = \frac{\Sigma P_0}{\Sigma P_1} \times 100$ (D) Index numbers are helpful in formulating and adopting appropriate economic policies Choose the **correct** answer from the options given below :

For the data : | Variable | Price - Base year | Price - Current year | Weights | |---|---|---|---| | X | 50 | 60 | 5 | | Y | 20 | 25 | 7 | | Z | 30 | 40 | 4 | The weighted aggregative index number is :

The wholesale price index (or price relative) of rice in 2018 compared to 2014 is 150. If the cost of rice was Rs. 16 per kg in 2014, then per kg cost of rice in 2018 is :

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 |

Match List - I with List - II. Given that $\Sigma p_0 q_0 = 150$, $\Sigma p_0 q_1 = 80$, $\Sigma p_1 q_0 = 240$, $\Sigma p_1 q_1 = 200$. | List - I | List - II | |---|---| | (A) Laspeyre's index | (I) 160 | | (B) Paasche's index | (II) 200 | | (C) Fesher's index | (III) 205 | | (D) Dorbish and Bowley's | (IV) 250 | 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 :

In the equation of trend line $y_t = a + bx$, a and b represent :

The price relatives and weights of a set of commodities are given as: | Commodity | A | B | C | |---|---|---|---| | Price Relative | 150 | 130 | 180 | | Weight | $x$ | $3x$ | $y$ | If the sum of weights is 30 and the index for the set is 144, then the values of $x$ and $y$ are:

Given the data for the sales of a product in a state is as follows: | Year | 2005 | 2006 | 2007 | 2008 | 2009 | |---|---|---|---|---|---| | Sales (In lakh Rs) | 150 | 130 | 160 | 170 | 200 | The equation of the straight-line trend by method of least squares is:

From the data given below the Laspeyre's price index for the year 2016 with year 2010 as base year is | Commodity | Price year 2010 | Price year 2016 | Quantity Year 2010 | Quantity Year 2016 | |---|---|---|---|---| | A | 1 | 2 | 10 | 13 | | B | 5 | 10 | 12 | 16 | | C | 6 | 10 | 15 | 18 |

A consumer in 2015, paid Rs 20 per kg for a particular variety of rice. The wholesale price index number for this variety of rice for the year 2018, with the year 2015 as the base year is 125. Then the cost per kg of rice in the year 2018 will be: