Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Quadratic Equations

Long Answer Type

201. A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work.

195 Views

202. In a class, the sum of the marks obtained by P in Mathematics and Science is 28. Had he got 3 marks more in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180. Find the marks obtained in the two subjects seperately.

93 Views

Short Answer Type

203. A trader bought a number of articles for Rs. 900. Five articles were found damaged. He sold each of the remaining articles at Rs. 2 more than what he paid for it. He got a profit of Rs. 80 on the whole transaction. Find the number of articles he bought.

No. of articles = x,
Cost of each article = y
According to question.
Ist condition: xy = 900, $straight y equals 900 over straight x$
2nd condition: $left parenthesis straight x minus 5 right parenthesis space open parentheses 900 over straight x plus 2 close parentheses space equals space 900 plus 80$
$space space space space open parentheses straight x minus 5 close parentheses space open parentheses fraction numerator 900 plus 2 straight x over denominator straight x end fraction close parentheses space equals space 980$
$fraction numerator 900 straight x plus 2 straight x squared minus 4500 minus 10 straight x over denominator straight x end fraction equals 980$

2x² + 890x – 4500 = 980x
2x²– 90x – 4500 = 0
x²– 45x – 2250 = 0
x² – 75x + 30x – 2250 = 0
x(x –75) + 30(x – 75) = 0
(x + 30) (x – 75) = 0
x = – 30 (reject),
x = 75
No. of articles = 75.

420 Views

Long Answer Type

204. On a pillar 9 m high is perched a peacock. From a point 27 m away from the base of the pillar, a snake is coming to its hole at the bottom of the pillar. Seeing the snake, the peacock pounces on it. If their speeds are equal, at what distance from the hole is the snake caught?

142 Views

205. A two-digit number is such that the product of the digit is 14. When 45 is added to the number, the digits interchange their places. Find the number.

129 Views

Short Answer Type

206. A two digit number is seven times the sum of its digits and is also equal to 12 less than three times the product of its digits. Find the number.

190 Views

207. A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number.

167 Views

208. A two digit number is such that the product of its digit is greater then tens place digit by 8. If the number is more than the product of its digits by 10. Find the number.

134 Views

209. The number consists of two digits, unit place digit is greater than tens places digit by 8. If the number is more than the product of its digits by 10. Find the number.

147 Views

210. There are three consecutive positive integers such that, the sum of square of the first and the product of other two is 154. Find the integers.

159 Views