UNIT TEST 2 (2022-2023)
MATHEMATICS
CLASS X, SET-B
DURATION: 1 HOUR
M.M. – 25
GENERAL INSTRUCTIONS :
• All questions are compulsory.
• Q1 is of 1 mark, Q2-Q5 are of 2 marks each, Q6-Q9 are of 3 marks each and Q10 is of 4 marks.
Q.1 Check whether 184 is a term of the AP 3,7,11,15,. . . ?
Q.2 The sum of the squares of two consecutive odd positive integers is 290. Find them.
Q.3 The sum of the first n terms of an AP is (3n²+5n), find the nth term.
Q.4 Find the value of k for which the following equation has equal roots :
(k-12)x²+2(k-12)x+2=0
Q.5 Find the 6th term from the end of the AP 17,14,11,. . . ,-40.
Q.6 Solve for x:
1/(x-3)+2/(x-2)=8/x, x≠0,2,3
Q.7 Find the sum of all 3-digit natural numbers which are divisible by 11.
Q.8 The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th terms is 97. Find the AP.
Q.9 How many terms of the AP 63,60,57,. . . must be taken so that their sum is 693? Explain the double answer.
Q.10 A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/h from its usual speed. Find the usual speed of the plane.