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.

HCF and LCM

Multiple Choice Questions

Two numbers are in the ratio 5 : 6. If their LCM is 120, their HCF will be

237 Views

The least among and 1 is

143 Views

The sum of two numbers is 45 and their H.C.F. and L.C.M. are 3 and 168 respectively. The sum of the reciprocals of the numbers will be

15/57
3/11
15/56
5/56

334 Views

The ratio of two numbers is 3 : 4 and their LCM is 180. The second number is

818 Views

The greatest perfect square number of 6 digits is:

999001
998001
998009
998009

301 Views

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is

5
$1 fifth$
-5
-5

1245 Views

7.
If the L.C.M. and H.C.F. of two expressions are (x² + 6x + 8) (x + 1) and (x + 1) respectively and one of the expressions is x² + 3x + 2, find the other.

x² + 5x + 4

x² - 5x + 4

x² + 4x + 5

x² + 4x + 5

x² + 5x + 4

x² + 6x + 8 = x² + 4x + 2x +8 = x(x + 4) + 2(x + 4) = (x + 4) (x + 2)

x² + 3x + 2 = x² + 2x + x +2= x(x + 2) + 1(x + 2) = (x + 2) (x + 1)
Now,
First expression x Second expression = LCM X HCF
⟹ (x² + 3x + 2) x Second expression = (x² + 6x + 8) (x + 1) x (x + 1)
⟹ (x + 2) (x + 1) x Second expression = (x + 4) (x + 2) (x + 1) (x + 1)

rightwards double arrow space space Second space expression space equals space fraction numerator left parenthesis straight x plus 2 right parenthesis thin space left parenthesis straight x plus 4 right parenthesis thin space left parenthesis straight x plus 1 right parenthesis thin space left parenthesis straight x space plus 1 right parenthesis over denominator left parenthesis straight x space plus space 2 right parenthesis thin space left parenthesis straight x plus 1 right parenthesis end fraction space equals space left parenthesis straight x space plus space 4 right parenthesis thin space left parenthesis straight x space plus space 1 right parenthesis

⟹ (x + 4) (x + 1) = x² + 4x + x + 4 = x² + 5x + 4

276 Views

Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as remainder in each case.

265 Views

Three man step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is