Maths Pride

The price of a semi-precious stone weighing 48 g, is Rs. 2,30,000. It is broken into two pieces whose weights are in the ratio of 5 : 7. If the price is proportional to the square of the weight, then the loss (in Rs.) incurred, is: (a) 1,18,400 (b) 78,400 (c) 40,000 (d) 1,12,200

What is the mean proportional between the fourth proportional of ( 1, 2, 7 ) and ( 14, 16, 2401)?

Q1. If a nine-digit number 985x3678y is divisible by 72, then the value of (4x - 3y) is : a) 5 (b) 4 (c) 6 (d) 3 Q2. If a 11 digit number 5y5884805x6 is divisible by 72, where x = y, then the value of √xy is : (a) √7 (b) 3 (c) 7 (d) 2 √7 Q3. If a nine-digit number 43x1145y2 is divisible by 88, then the value of (3x-2y), for the smallest value of y, is: (a) 22 (b) 18 (c) 20 (d) 9 Q4.The ten digit number 2x600000y8 is exactly divisible by 24. If x and y is not equal to zero least value of (x + y) is (a) 5 (b) 8 (c) 9 (d) 2 Q5.For what value of x is the seven digit number 46393x8 divisible by 11? (a) 5 (b) 3 (c) 2 (d) 7 Q6. What is the value of x so that the seven digit number 8439x53 is divisible by 99? (a) 9 (b) 4 (c) 3 (d) 6 Q7. If the seven digit number 54x29y6 (x > y) is divisible by 72, what is the value of (2x + y)? (a) 32 (b) 13 (c) 38 (d) 23 Q8. The number 45789 is divisible by which of the single digit number: (a) Only by 3 (b) Only by 9 (c) Only by 3 and 7 (d) Only by 3 and 9 Q9. Number 30744, is divisible by which one digit number? (a) All the other numbers except 5 and 7. (b) Only 2,3 and 6 (c) Only 2,3,6 and 9 (d) All the other numbers except divisibility questions

1. How much remainder will be left on dividing 8^372 by 7? A)1 B)2 C)3 D)0 2. What will be the remainder on dividing 2^426 by 7? A)1 B)2 C)3 D)4 3. What will be the remainder left on dividing 9^336 by 23 ? A)0 B)2 C)1 D)4 4. What will be the remainder on dividing 9^24 by 7? A)3 B)2 C)1 D)4 5. What will be the remainder on dividing 2^48 by 6? A)3 B)2 C)5 D)4 6. What will be the remainder on dividing 5^100 by 13? A)3 B)12 C)3 D)4 7. What will be the remainder on dividing (397)^3589 + 5by 398? A)3 B)12 C)3 D)4 8. What will be the remainder on dividing (7^72 + 5) by 6? A)3 B)12 C)3 D)0 9. What will be the remainder left on dividing 2^72 – 5 by 7? A)3 B)12 C)3 D)4 10. What will be the remainder left on dividing (5^100 – 6) by 8? A)3 B)13 C)7 D)4 11. What will be the remainder left on dividing (257^166 – 243^166) by 500? A)0 B)6 C)1 D)4 12. When (683^125 – 598^125) – (647^125 – 598^125) is divided by 36 then what will be the remainder left? A)0 B)3 C)1 D)5 13. Find out the remainder of (95^97 – 27) ÷ 96? A)65 B)68 C)70 D)50 14. What will be the remainder on dividing (3257)^683 by 3256? A) 1 B) 3258 C) 3265 D) 3259 15. What will be the remainder left on dividing 8^36 by 6? A) 5 B) 4 C) 8 D) 9 16. What will be the remainder left on dividing 2^31 by 5? A) 3 B) 4 C) 8 D) 9 17. What is the remainder when 3450 is divided by 108? A) 3 B) 1 C) 27 D) 81 18. What will be the remainder left on dividing 192 37 1953 1956 divided by 11? A) 12 B) 11 C) 8 D)2 19. What will be the remainder left on dividing 70 100 65 1735 87 divided 17? A) 5 B) 6 C) 7 D) 8 20. What will be the remainder left on dividing 2^76 divided by96? A) 46 B) 64 C) 74 D) 24 21. What will be the remainder left on dividing 5^ 500 dividing by 500? A) 100 B) 122 C) 150 D) 125 22. What will be the remainder left on dividing 15^40 divided by 100? A) 35 B) 25 C) 20 D) 45 23. What will be the remainder left on dividing 5^91 divided by31? A) 4 B) 8 C) 6 D) 5 24. What will be the remainder left on dividing 4! Divided by 5 ? A) 2 B) 3 C) 1 D) 4 25. What will be the remainder left on dividing 1!  2!  3!  ......  1000! Divided by 10? A) 3 B)0 C)1 D)2 26. What will be the remainder left on dividing 3978 398 53 76 27 divided by 100 ? A) 15 B) 64 C) 16 D) 5 27. What will be the remainder left on dividing 10^1+10^2+10^3+10^4+……………..10^100 divided by 6? A) 4 B) 3 C) 2 D) 1 28. When 4^5^6^7^8^9^10 is divided by 6 then the remainder will be– A) 2 B) 3 C) 4 D) 5 29. If x = 16^3 + 17^ 3 + 18^3 + 19^3 then what will be the remainder when x is divided by 70? A) 0 B) 1 C) 69 d) 35 30. N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder? A) 8 B) 9 c) 7 D) 10 31. What will be the remainder on dividing 21222324252627282930 by 8? A) 5 B) 2 C) 3 d) 4 32. What will be the remainder on dividing 919293949596979899 by 16? A) 3 B) 13 C) 11 D)8 33. When (2222…..201 times) is divided by 11 then the remainder will be– A) 2 B) 3 C) 4 D) 9 34. When 88888 ………184 times is divided by 37 then remainder? A) 1 B) 8 c) 36 D) 7 35. Find the remainder when 1177 is divided by 7. A) 1 B) 2 C) 3 D) 5 remainder theorem

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