Maths By Amiya - Number System - 100.pdf

SOl: e. [15] ,  = 2 ∗ 5  ; ≤ 100 ; a & b as whole numbers 41.What is the minimum number of cubes you can cut from a cuboid of dimension 12m*14m & 80 cm * 10m & 40 cm. a. 40 b. 28800 c. 28860 d. 64000 e. NoT Sol: [c] Minimum no of cuboids = ∗∗ ,, =28860 42.If D be the biggest divisor which gives same remainder "R" for 2243 , 3553 & 4863 as dividends. Then D+R = ? a. 147 b. 933 c. 1310 d. 2243 e. Not Sol: [d] 2243 Maximum Divisor = GCD 4863�3553 , 4863 � 2243 , 3553 � 2243  or its factors = 1310 Hence, Common Remainder = 933 So D+R = 1310 + 933 = 2243 43.If N a number in base 10 is equivalence to 12345AX in a  ≥ 37 then which statement is correct for Nature even or odd of N a. N is always even irrespective of base b. N is always odd irrespective of base c. Nature of a number is always independent of its base d. Can't say anything about nature of N e. NoT Ans: [d] Sol: �Now assume Base is even, you would get number is odd since X=33 is odd, then assume base is odd � you would get summation is even 1+2+3+4+5+10+33 . so number is even , so we cant say about nature for N for this particular question. https://www.facebook.com/MathsByAmiya/photos/731985526853566/ 44.Find the 5th closer value to 4 digit largest number which will give remainder 4 and 7 when divided by 8 and 11 respectively and separately. a. 9940 b.9952 c. 9588 d. 10204 e. NoT Ans : [d] 10204 Maths By Amiya, 3E Learning, Lalpur ,Ranchi 9534002244 ©AMIYA KUMAR www.facebook.com/MathsByAmiya