Ans 1.
Ans 2. Given number = 169q + 78
= 13 ( 13 q + 6)
=> The number is completely divisible by 13.
Ans 3.
Ans 4.
Ans 5. Let the number of gents and ladies be 2x and 3x respectively
Ans 6.
Ans 7. Let the distance travelled by the first train be x km.
. . Distance travelled by the second train = x + 120 km
Now, x/50 = x + 120/60
. . x = 600 km
Distance between A and B = x + x + 120 = 1200 + 120 = 1320 km
. . Distance travelled by the second train = x + 120 km
Now, x/50 = x + 120/60
. . x = 600 km
Distance between A and B = x + x + 120 = 1200 + 120 = 1320 km
Ans 8.
Ans 9.
Ans 10. volume of new cube = volume of cube I + Volume of cube II + Volume of cube III
or volume of new cube = 63 + 83 + 103
216 + 512 + 1000
or x3 = 1728 = 123
. . x = 12 cm.
Ans 11. ( side)2 = 484
. . side = 22 cm
Length of wire = 22 x 4 = 88 cm
Now, 2r = 88
.. r = 14 cm
. . Area enclosed = r x 14 x 14
= 616 cm2.
Ans 12.
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