Page 1 : SALMAN SIR CLASSES, (BEST COACHING FOR JMI/AMU MBA), , NUMBER SYSTEM - 1, P10 – QA1 – TYPES OF NUMBERS & DIVISIBILITY, Q1. a and b are two single digit natural numbers such, that 0.abab…… × n is an integer value for all values of a, and b. What is the least three digit number that n can be?, 1. 990, 2. 999, 3. 108, 4. 198, 5. 199, , # Directions for questions Q2 to Q10:, Fill in the blanks with any one of the following:, 1. always even, , 2. always odd, , 3. could be even also or odd also, , Q2. x3 + x4 is ________., Q3. xy2 + x2y is ________., Q4. If 3a + 1 is even, then a is ________., Q5. If 5a – 3 is odd, then a is ________., , FOR COACHING CLASSES OF JMI MBA and AMU MBA,CONTACT - 7042385093

Page 2 : Q6. If 4a + 2 is even, then a is ________., Q7. If 7a – 4 is even, then a is ________., Q8. If 11a + 10 is odd, then a is ________., Q9. If 10a – 7 is odd, then a is ________., Q10. If a × b × c is odd, then ab + bc + ca is ________., , Q11. In how many ways can 72 be written as a product of, two co-prime natural numbers?, 1. 6, , 2. 5, , 3. 3, , 4. 2, , 5. 1, , Q12. If a, a + 2, a + 4 are all prime numbers, how many, distinct values can a take?, 1. 0, , 2. 1, , 3. 2, , 4. 3, , 5. More than 3, , Q13. If 51062x4 is divisible by 12, how many values can x, take?, 1. 0, , 2. 1, , 3. 2, , 4. 3, , 5. 4, , Q14. When 1000 is added to 459x251 and the resulting, number is divided by 11, the remainder is 8. Find x., 1. 3, , 2. 5, , 3. 7, , 4. 8, , 5. 9, , FOR COACHING CLASSES OF JMI MBA and AMU MBA,CONTACT - 7042385093

Page 3 : Q15. What is the remainder when the number, 5821x59x243 is divided by 11, where x is any single digit, whole number?, 1. 3, , 2. 5, , 3. 8, , 4. 10, , 5. No unique remainder., , Q16. A number when divided by 195 leaves a remainder, 47. If the same number is divided by 15, then the, remainder will be :, (A) 1, , (B) 2, , (C) 3, , (D) 4, , (C) 4 / 100, , (D) 4 / 9, , Q17. The value of 0.𝟒 is, (A) 4 / 10, , (B) 9 / 4, , Q18. If the number 357 * 25 * is divisible by both 3 and 5,, then the missing digit in the unit’s place and the, thousand’s place respectively are :, (A) 0,6, , (B) 5,6, , (C) 5,4, , (D) None of these, , Q19. A two digit number is divisible by 3 and 4,. Also, the difference between the unit’s digit and the ten’s digit, is equal to 4. The number is :, (A) 96, , (B) 48, , (C) 36, , (D) 72, , Q20. If A and B are real numbers and A2 + B2 = 0 then :, (A) A > 0, B > 0, (B) A < 0, B > 0, (C) A = 0 = B, , (D) A = - B, , FOR COACHING CLASSES OF JMI MBA and AMU MBA,CONTACT - 7042385093