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1. The LCM of two, , numbers is four times, , their HCF and their, , number, , sum is, , 125. If one, is 100, what ill be the other?, , (A) 5, , (B) 25, , (C) 100, , (D) 125, HCF and LCM of two numbers, 8 and 1728, respectively., , 2. The, , how many, , pairs, , of such, , are, , Accordingly,, , digits, , (A) 2, , (B) 3, , (C) 4, , (D) 5, , are, , there?, , 3. The LCM of two numbers is 520 and, their HCF is 4. If one of them is 52,, Find the other?, (A) 40, , (B) 42, , (C) 50, , (D> 52, , 4. The sum of the, , the greatest, , squares of the digits of, prime number of two digits, , IS, , (NCERT), , (A) 148, , (B) 130, (D) 118, , (C) 97, , (B) 62, (D) 92, , (C) 102, 6. The, , that, , possible maximum length (in em), be used to, accurately measure, , can, , 495 cm, 900, , (A) 25, , 1., , em,, , 1665, , cm is:, , (B) 35, , (C) 45, (D) 15, What is the mallest, number, , divided, C, , (A) 366, (B) 354, C) 360, D) 372, 8. Find the least, number from the following, which is divided, by 12. 16. 24 and 36, and leaves the, remainder 5?, , B) 139, C) 149, D) 245, 9. The HCF and, LCM of two numbers are, 44 and 264., respectively. If the first, number is divided, by 2. the quotient is, 44. which of the, following will be the, second number?, (A) 147, , (C) 132, (D) 264, 10. The difference between, the largest 4-digit, number and the smallest, 4-digit number, which starting from 3 and, ending with 5, IS, , (NCERT), , (A) 900, , (B) 909, , (C) 999, , (D) 990, , whose, , sum, , pairs, , of, , positive integers, , is 99 and their HCF is 9:, , (A) 5, , B) 4, , (C) 3, , (D) 2, , 12. The sum of two numbers is 84 and their, HCF is 12. The number of toal, pairs of, such numbers will be:, (A) 2, , (B)3, , C) 4, , (D) 5, , (NCERT), , and, , LCM, , are, , 21 and 28. is:, , (A) 95765, , (B) 9928, , (C) 9828, , (D) 9324, , 3, , and, , 105, , respectively. The sum of the reciprocal, of the two numbers will be:, 9, , (A) 13, , (B) 11, , 7, , 4, , C)35, 15. The smallest, , D), , perfect, , which is divided, , 24. is, , by, , (A) 1600, , largest four-digit number. which is, divisible by each of the numbers 12. 18,, , that is, , HCF, , B) 528, , 13. The, , by 12, 24 36 and 45 and leaves, TCmander 6 in each case?, , 14. The sum of two numbers is 36 and their, , (A) 243, , 11. The number of, , 5. Find the least number, which if divided by, 24 and 36, the remainder, will be 14 and, 26 respectively., , (A) 82, , Important Questions, , (B) 3600, , (C) 6400, 16., , square number,, each of 16, 20 and, , (D) 1440o, , The two numbers, , in the ratio 3: 4, and their LCM is 48. The sum of those, two numbers will be, (NCERT), (A) 32, (B) 28, (C) 26, (D) 24, 17. What is the, largest number which divides, 729 and 901 leaves the, remainder 9, are, , and, , 5 respectively?, , (NCERT), , (A) 15, , (B) 16, (D) 20, , C) 19, 18. If P, 23.30.5:;, the HCF of P and, =, , Q, Q., , (A) 2.3.5.7, , =, , 2.3.7,, , then find, , (B) 3.23, , C) 2.2.3, , (D) 2.310,5.7, , 19. A,, , B, C start running in the, same, direction from the same, in a, point, circular stadium at the same, time. A, , round is completed in 252, seconds, A in, 308 seconds and C in, 198 seconds. How, long will they meet again at the, point?, (A) 26 min 18 sec, , (B), , 42 min 36, , sec, , (C)45 minutes, D) 46 min 12 sec, , starting

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20. A milk seller has 21 liters of cow milk,, , 29. The four runners started their race from, , 42 liters of toned milk and 63 liters of, double toned milk. If he wants to pack, , asingle point on a circular path. He took, 200 seconds, 300 seconds, 360 seconds, and 450 seconds respectively to, complete a round of that path., Accordingly, how much time will they, be able to meet again at their initial point, , them in tin cans in such a way that each, container contains the same amount of, milk and does not want to mix any two, , types of milk in one box, then the, required minimum number of boxes is:, (B) 6, , (C)9, (D) 12, 21. Between 100 and 600, the number of, integers divisible by both 4 and 6 is:, (A) 40, , (D) 4800 sec, , (A) 3448, , B) 3482, , C) 28, , (D) 318, , 40., , (D) 38, the, least, number which is divided, Find, by 12, 18, 36 and 45, leaves the, , remainders 8, 14, 32 and 41 respectivet, , (A) 186, , B) 176, , (C) 180, , B):12, , (C) 24, D) 3, 32. The traffic-related lights at three different, , D) 178, numbers, is 3: 4 and, two, their least common multiple is 180. Whar, , 41. The ratio of, , is the second number?, , crossroads change color after 24 seconds,, 36 seconds and 54 seconds, respectively., If all three of them change color, together, , NCERT, , (A) 30, , (B) 60, , C) 45, , (D) 90, , Solutions, , of them change color next time?, , (A) 10: 16: 54 am, (B) 10 18: 36 am, , 1. (B) IfLCM= L and HCF= H. then, , According to queston,, , C) 10:17:02 am, 33., , 25. The product of two numbers is 2028, , and their HCF is 13. Accordingly, find, the number of such pairs., (A) 1, (B) 2, C) 3, D) 4, 26. Three bells ring together at 11 am. All, , the three, ring at intervals of 20 minutes,, , respectively., , Accordingly, what time will they ring, , together again?, , B)1 pm, , (C) 1.15 pm, (D) 1.30 pm, 27. The LCM of two numbers is 4284 and, their HCF is 34. If one of them is 204,, then what is the other number?, (A) 714, B) 814, (C) 914, (D) 614, 28. The LCM of two numbers is 120 and, their HCF is 10. Accordingly, which of, the following numbers can be the sum of, , those two numbers?, , (NCERT, , B) 18, , L=4xH=4H, , (D) 10:22:12 am, The ged and lcm of two numbers are 13, and 1989, respectively. If one of them is, , and, , L +H= 125, , 4H+H= 125, , 117, what is the other number?, , 30 minutes and 40 minutes, , g, , C) 2468, D) 3265, 39. What is the maximum number, tha, dividing 110 and T28 gives a unifona, remainder of 27, , B) 283, , (A).8, , NCERT), , 2, , (A) 140, (C) 60, , (C) 2400 sec, , numbers?, , 2, , (B), , (A) 2 pm, , number that, divided by 35, 45, 55, the remainder, , at 10: 15: 00 am, what time will the three, , is the largest?, C), , (D) 6, 38. What is the smallest, , 120. Accordingly, which of the following, numbers cannot be the HCF of those, , (B) 8, D) 12, , 24. Which of the following fractions, , A), , (B) 3600 sec, , 31. The LCM of three different numbers is, , (B) 9764, , C)9766, D) 9765, 23. The LCM of, two positive integersis, twice the larger number. The difference, between the smallest number and the, HCF of the two integers is 4., Accordingly, what is the smaller number?, C) 10, , (A) 1800 sec, , A) 279, C) 308, , remainder remains 1, 3,5,7 respectively?, , (A) 6, , (B)8, , C) 5, , (A) 8, , (C)41, D) 50, 22. Which is the largest four, digit number, which if divided by 3, 5, 7, 9, the, (A) 9763, , (A) 7, , 18, 28, 38 respectively?, , 30. The HCF of two numbers is 11 and the, LCM is 7700. If one of them is 275,, then how much is the other?, , (B)42, , whi., , be Comes, , a perfect cube?, , for the first time?, , (NCERT), (A) 3, , 37. What is the smallest number, from, if 675 is multiplied, the product, , (NCERT), (B), , 80, (D) 70, , 172 1 AGRAWALEXAMCART, , SH=125, , (A) 121, , (B) 143, C) 217, (D) 221, 34. If the HCF of any two numbers is 12, and the LCM is 924, then how, many, , H--25, L= 4H= 4, , 100, , pajrs of such numbers will there be?, , 2nd number: LCM HCF, , (NCERT), (A) 0, , (C) 2, 35. Which of the, , First Number, , (B) 1, , 100 x25 25, , (D) 3, , following, , 100, , is the smallest, , number, which is divided by 5, 6, 7, 8 to, get remainder 3, but is also divisible by, , 2., , (A) Let the numbers be 8x and 8y. 1, LCM of &x and 8y = 8, , 9, , 8ty= 1728, , (A) 1463, (B) 1573, C) 1683, (D) 1793, 36. Ifx 2x 3 x 7,, and y 23 x 3, then what is the HCF of x and, , y=, x, , 5,, , a n d y=, , y?, , (A)2 x 33 x5 x 72, (B)2 x 32x 72, , (C)22x 3, (D) 5 x 72, , x 25, , 1728216, 27), (1, 216), (8., , So, only two pairs are poosible., , (NCERT), 3., , (A), , 2, , number, , LCM, HC, , First Number, , 520x4 40, , 52