| Q12) For how many values of 'x' is the number 254178x divisible by 8. 1) 4 2) 8 3) 1 4) All of above A number is divisible by 8 if last three digits of a number are divisible by 8. The given number is divisible by 8 only when x is 4. Only 1 value of x exists. Hence, option 3. Q13) Find the last two places of 13 + 23 + 33 + 43 +....+ 993 1) 12 2) 28 3) 76 4) 00 13 + 23 + 33 + 43 +....+ 993 = [99 × 100]2/4 = (99 × 50)2 Hence, option 4. Q14) Which of the following numbers is divisible by 32. 1) 12345678 2) 24136892 3) 2344992 4) None of these A number is divisible by 32 if last five digits of a number are divisible by 32. Hence, option 3. Q15) N = 8200. Find the remainder when N is divided by 7. 1) 0 2) 1 3) 3 4) 5 Remainder when 8 is divided by 7 is 1. ∴ Remainder when 8200 is divided by 7 = Remainder when 1200 is divided by 7 Hence, option 2. Q16) Which of the following numbers is divisible by 3. 1) 231897 2) 313243 3) 741082 4) 139075 A number is divisible by 3 if the sum of the digits of the number is divisible by 3. Sum of the digits of 231897 is 30 (30 is divisible by 3), so 231897 is divisible by 3. Hence, option 1. |