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# CBSE Academic Class XII Applied Mathematics Sample Question Paper 2022-23

Name of the Board : Central Board of Secondary Education (CBSE)
Class : XII STD
Document Type : Sample Question Paper
Subject : Applied Mathematics
Year : 2022-23

Contents :

## CBSE XII Applied Mathematics Sample Question Paper

CBSE Students can download the Applied Mathematics Sample Question Paper for the year 2022-23 from the website of CBSE Academic.

Related / Similar Question Paper : CBSE Academic Class XII Applied Arts Sample Question Paper 2022-23

## Applied Mathematics Sample Question Paper

SECTION – A
(All questions are compulsory. No internal choice is provided in this section) marks
1. What is the least value of ‘𝑥’ that satisfies 𝑥 ≡ 27(mod 4), when 27< 𝑥 ≤ 36?
a) 27
b) 30
c) 31
d) 35

2. Let 𝑝 > 0 and 𝑞 < 0 and 𝑝, 𝑞 ∈ 𝑍, then choose the correct inequality from the given below options to complete the statement:
a) >
b) ≤
c) ≥
d) <

3. A machine makes car wheels and in a random sample of 26 wheels, the test statistic is found to be 3.07. As per the t-distribution test (of 5% level of significance), what can you say about the quality of wheels produced by the machine? (Use t25(0.05) = 2.06)
a) Superior quality
b) Inferior quality
c) Same quality
d) Cannot say

4. For the purpose of t-test of significance, a random sample of size (𝑛) 34 is drawn from a normal population, then the degree of freedom (𝑣) is –
a) 1/34
b) 33
c) 34
d) 35

5. A person can row a boat along the stream of the river at 10 km/h and against the stream in 6 km/h. What is the speed of the stream flow?
a) 1 km/h
b) 2 km/h
c) 4 km/h
d) 5 km/h

6. Standard deviation of a sample from a population is called a –
a) Standard error
b) Parameter
c) Statistic
d) Central limit

7. Two water supplying trucks – A and B supply water to remote areas. Truck A is carrying 100 litres of water to a village 1.5 km away and truck B is delivering 80 litres of water to another village, 1 km away. Due to bad road conditions, each truck loses 20 ml water while travelling each metre distance. Which truck is able to deliver more water and by how much more?
a) Truck A, 20 litres
b) Truck B, 20 litres
c) Truck A, 10 litres
d) Truck B, 10 litres

8. What is the face value of a sinking fund that yields a dividend of ₹1800 at 10% semi-annually?
a) ₹ 3600
b) ₹18000
c) ₹ 24000
d) ₹ 36000

9. A factory production is delayed for three weeks due to breakdown of a machine and unavailability of spare parts. Under which trend oscillation does this situation fall under?
a) Seasonal
b) Cyclical
c) Secular
d) Irregular

10. A newspaper printing machine costs ₹ 4,80,000 and estimated scrap value of ₹ 25,000 at the end of its useful life of 10 years. What is its annual depreciation as per linear method?
a) ₹ 4,550
b) ₹ 45,500
c) ₹ 50,500
d) ₹ 61,500