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Model Paper 1 Applied Maths - Model Paper 1

CBSE - STD 11 Science - Applied Maths (CBSE - English Medium). 44 questions in this chapter.

Question types

Model Paper 1 question types

44 questions across 6 question groups — pick any mix to generate a Applied Maths paper with step-by-step answer keys.

44
Questions
6
Question groups
5
Question types
Sample Questions

Model Paper 1 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
For two non empty sets A and B the Cartesian product is
  • A
    $\mathrm{A} \times \mathrm{B}=\phi=\mathrm{B} \times \mathrm{A}$
  • B
    $\mathrm{A} \times \mathrm{B} \neq \mathrm{B} \times \mathrm{A}$
  • C
    $A \times B=B \times A$
  • D
    $\mathrm{A} \times \mathrm{B}=\mathrm{B} \neq \mathrm{A}$
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Q 2MCQ1 Mark
It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?
  • A
    720
  • B
    24
  • C
    120
  • D
    2880
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Q 3MCQ1 Mark
The amount of money today which is equal to a series of payments in the future is:
i. nominal value of annuity
ii. sinking value of annuity
iii. present value of annuity
iv. future value of annuity
  • A
    iv and i
  • B
    ii and iii
  • C
    only iii
  • D
    i and ii
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Q 4MCQ1 Mark
A pack of cards contain 4 aces, 4 kings, 4 queens and 4 jacks. Two cards are drawn at random. The probability that atleast one of them is a king is
  • A
    $\frac{1}{5}$
  • B
    $\frac{3}{16}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{9}{20}$
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Q 5MCQ1 Mark
For any two events A and B, if $\mathrm{P}(\overline{\mathrm{A}})=\frac{1}{2}, \mathrm{P}(\overline{\mathrm{B}})=\frac{2}{3}$ and $\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{4}$, then $\mathrm{P}\left(\frac{\overline{\mathrm{A}}}{\overline{\mathrm{B}}}\right)$ equals:
  • A
    $\frac{1}{4}$
  • B
    $\frac{3}{8}$
  • C
    $\frac{8}{9}$
  • D
    $\frac{1}{8}$
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Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If 7th, 10th and 13th term of a G.P. are $\mathrm{a}, \mathrm{b}$ and c respectively, then $\mathrm{b}_{2}=\mathrm{ac}$.
Reason (R): In a G.P., $\mathrm{a}_{\mathrm{n}}=\sqrt{a_{n-k} \times a_{n+k}}, n, k \in N$.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    $A$ is true but $R$ is false.
  • D
    $A$ is false but $R$ is true.
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Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If in a sample of n observations $\Sigma d^{2}=40$ and Spearman's rank correlation coefficient $r=-\frac{1}{7}$, then $\mathrm{n}=7$.
Reason (R): Spearman's rank correlation coefficient $r=1-\frac{6 \Sigma d^{2}}{n\left(n^{2}-1\right)}$.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of A.
  • C
    A is true but $R$ is false.
  • D
    A is true but $R$ is false.
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Q 133 Marks Question3 Marks
In a survey of 450 people, it was found that 110 play cricket, 160 play tennis and 70 play both cricket as well tennis. How many play neither cricket nor tennis?
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Q 143 Marks Question3 Marks
A family in Agra, U.P. consumes 78 SCM of gas in 60 days. The VAT is included in the gas charges and the minimum charge is $10 \%$ of the gas consumption charges. The PNG rate in Agra are as follows:
Unit of Consumption(in SCM)Price Per Unit
up to 45 SCM / 60 days₹ 29.50
above 45 SCM / 60 days₹ 42.61
Calculate the bimonthly PNG bill of the family.
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Q 153 Marks Question3 Marks
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at $4 \%$ per annum is ₹ 1. Find the sum.
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Q 185 Marks Questions5 Marks
A housewife buys the following articles from departmental store sugar 5 kg at rate of ₹ $55 / \mathrm{kg}$ and GST $5 \%$, butter 500 g at rate of ₹ $600 / \mathrm{kg}$, GST $12 \%$, shampoo 200 ml bottle at rate of ₹ $110 / \mathrm{bottle}$, GST $18 \%$, hair colour 2 packets at rate of 160 per packet GST 18%. Prepare the bill for the above purchases.
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Q 205 Marks Questions5 Marks
Find the Spearman's rank correlation between marks in Mathematics and Statistics obtained by 10 students:
Maths in Mathematics80389530748491606640
Marks in Statistics85509258706588565246
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Q 23Case study (4 Marks)4 Marks
The reliability of a Covid-19 test is specified as follows:
Of people having Covid-19, $90 \%$ of the test detect the disease but $10 \%$ go undetected. Of people free of Covid19, $99 \%$ of the test are judged Covid-19 negative but $1 \%$ are diagnosed as showing Covid-19 positive.
From a large population of which only $0.1 \%$ have Covid-19, one person is selected at random, given the Covid19 test and Pathologist reports him/her as Covid-19 positive.
Image
(a) What is the probability of the person to be tested as Covid-19 positive given that he is actually having Covid-19?
(b) What is the probability of the person to be tested as Covid-19 positive given that he is not actually having Covid-19?
(c) What is the probability that the person selected will be diagnosed as Covid-19 positive?
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Q 25Case study (4 Marks)4 Marks
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Q 26Case study (4 Marks)4 Marks
Given the map is showing Saloni’s home and school. Her school is at the position A, home is at the position B and a shopping mall is at the position C. Assuming O is the origin, OA is along X-axis and OB is along Y-axis.
Image
(a) Find the coordinates of $A$ and $B$ also find slope of $A B$
(b) What would be the equation of the line passing through $A$ and $B$.
(c) A shopping mall is situated at the position C. If slope of the line BC is 1, then find equation of BC
OR
Find the equation of line passing through $(-2,4)$ and perpendicular to $A B$
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