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CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Statistics Measures Of Central Tendency PYQ

CUET UG Mathematics Applied PYQ
Match List I with List II
 List I List II

 A. Quantity index
 I. Measures relative price change over a period of time.
 B. Time series
 II. Measures change in quantity of consumption of goods over a specific period of time.
 C. Price index
 III. Measures average value of goods for specific time period.
 D. Value index

 IV. Statistical observation taken at different points of time for specific period of time.

Choose the correct answer from the options given below:





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Quantity index → Measures change in quantity over time
So A → II

Time series → Statistical observations at different time points
So B → IV

Price index → Measures relative price change over time
So C → I

Value index → Measures average value for specific time period
So D → III

Correct matching:

A-II, B-IV, C-I, D-III
CUET UG Mathematics Applied PYQ
Given that $\sum p_0 q_0 = 700$, $\sum p_0 q_1 = 1450$, $\sum p_1 q_0 = 855$, $\sum p_1 q_1 = 1300$. Where subscripts $0$ and $1$ are used for base year and current year respectively. The Laspeyres’ price index number is:





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Laspeyres price index:

$L=\frac{\sum p_1 q_0}{\sum p_0 q_0}\times 100$

Substitute values:

$L=\frac{855}{700}\times 100$

$=1.2214\times 100$

$=122.14$
CUET UG Mathematics Applied PYQ
One of the following is true for relation between sample mean $\bar{x}$ and population mean $\mu$.





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

By Law of Large Numbers, as sample size increases, sample mean $\bar{x}$ approaches population mean $\mu$. Therefore, $|\bar{x}-\mu|$ decreases as sample size increases.
CUET UG Mathematics Applied PYQ
Below are the stages for Drawing statistical inferences.

A. Sample
B. Population
C. Making Inference
D. Data tabulation
E. Data Analysis

Choose the correct answer from the options given below:





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Correct logical order:

Population → Sample → Data tabulation → Data Analysis → Making Inference

So sequence:

B → A → D → E → C
CUET UG Mathematics Applied PYQ
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil at $10%$ p.a. at simple interest.
Sitaram earned an annual interest income of Rs. $18000$.

What is the mean rate of interest?





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Total principal = Rs. $200000$

Total annual interest earned = Rs. $18000$

Mean rate of interest:

$\text{Mean Rate}=\frac{\text{Total Interest}}{\text{Total Principal}}\times 100$

$=\frac{18000}{200000}\times 100$

$=0.09\times 100$

$=9%$

CUET UG Mathematics Applied

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