COMPACT QUESTIONS (HCF, LCM)

1) Find the shape of 72 and 90.                18

2) HCF of 48,90,120.          6

3) 216, 423 ,1215 ,1422, 2169, 2223. Find HCF .     9

4) There are three prime numbers, the product of the first two number is 1891 and the product of last two numbers is 7991. Find all the numbers .     31,61,131

5) Find the largest number of two digit which when divided to 211 and 396 gives same remainder.         37

6) Find the greatest number which when divided to 410, 751 and 1030 gives same remainder.         31

7) A farmer has 945 cows and 2475 buffaloes. He wants to graze them in minimum number of groups in such a way that each group has only one type of animal and also contains equal number of animals in each group. Find such minimum of groups.    76

8) A Gardner has 44 apple tree, 66 banana trees and under 110 mango trees. He wants to plan them rows such a way that each row contain only one type of plant and also has equal number of plants. Find number of minimum rows.     10

9) The area of three fields are 288cm², 408cm², 552 cm². Equal minimum size blocks are made in the field. If the width of each rectangular block is 4 cm. Find its length.   6

10) Find the least number of equal size square tiles which can be fited in a rectangular field whose sides 284m x 248 m.             4402

11) The ratio 2 numbers is 3: 4 and their LCM is 60. Find their HCF.   15,20

12) The sum of two numbers is 36 and their HCF is 4. Find the possible number of pairs.     3 pairs

13) The LCM of 4 numbers is 117 and the HCF of each pair is 3. Find the multiplication of all the numbers .      

14) The LCM and HCF of two consecutive even number is 84 and 2. Find the sum of reciprocal of these two numbers.       13/84

15) the sum and LCM of two numbers are 156 and 504. Find both the numbers.   6,7

16) The sum and LCM of two number is 132 and 360. Find two numbers.    5,6

17) The HCF of two numbers is 11 and their LCM 693. If one number is 77. Find the other number.      99

18) The LCM of two numbers is 12 times of HCF. The sum of HCF and LCM is 403. If both numbers are smaller than LCM. Find both the number.      93,124

19) The sum and difference of HCF and LCM of two numbers is 592 and 518. Find both the numbers if sum of these two numbers is 296.      185,111

20) Find the smallest numbers which when divided by 5, 6, 8 and 9 gives remainder 3 in each case.          363

21) If a farmer pack 5 or 6 oranges in each box, he is left with 3 oranges. But if he pack 8 or 9 oranges in each box, he is left with 3 oranges. Find the number of oranges that he had.       363

22) Find the smallest number which when divided by 20, 25, 35 and 40 gives remainder 14,19,29 and 34.     1394

23) Find the smallest number which when divided by 5,6,7 and 8 gives remainder 3 in each case. but it exactly divided by 9.            1683

24)  Find the smallest number which when divided by 3, 4, 5 and 6 gives remainder 2, 3, 4 and 5, but exactly divisible by 7.        119

25) find the least multiple of 13 which when divided by 3,4,5 and 6 gives remainder 1, 2, 3 and 4.      598

26)  Find the smallest number of 6 digit which when divided by 3, 4, 5 and 6 gives remainder 2.         100022

27) Find the largest number of 6 digit which when divided by 3, 4, 5, 6 and 8 gives remainder 1, 2, 3, 4 and 6.       999958

28) Find the least perfect square number which when divided by 4, 5, 6 gives reminder 0.           900

29) Two cog wheels having 16 and 24 teeth respectively. The bigger wheel makes 5 revolutions per hour. calculate how many times a specific teeth of bigger wheel meets with the specific teeth of smaller wheel in 11 hours.            28 times

30) 3 runners A and B and C runs along a circular path of 12 km long with speed 3km/hr, 7km/hr, 13km/hr. They start their race from the same point for the same destination. After how much time they will meet again.         12

31) 4 bells rings at an interval of 12sec,15sec, and 20 sec and 30 sec respectively. How much time will they ring together in 6 hours.     361

Comments

Post a Comment

Popular posts from this blog

REVISION - XII

DETERMINANT  1) If two rows or two columns of a determinant are identical then the value of the determinant is a) 0 b) 2 c) -1 d) 1 2) If D= 0     a    b              -a     0    c              -b    -c    0 then D is  a) 0 b) 1 c) a d) b 3) a+b    a+2b    a+3b     a+2b  a+3b    a+4b= 0     a+4b  a+5b     a+6b 4 ) 1+ a      1        1       1       1+ b     1        1         1      1+ c = abc(1/a + 1/b + 1/c) 5) loga       p      1     logb       q       1 = 0 (a,b,c> 0)     logc       r     ...
Read more

SHORT QUESTIONS- X (All chapter)

Image
GOODS AND SERVICES TAX Multiple Choice Questions 1) IGST is charged on: a) interstate transaction b) intrastate transaction c) both a, b d) none 2) GST payable is equals to a)  ITC --output GST b) output GST + ITC c) output GST - ITC d) output GST 3) A dealer in Mumbai sold a washing machine to a consumer in Mumbai for Rs18000. If the rate of GST is 18% and GST, then SGST is: a) Rs1620 b) Rs3240 c) nil d) none 4) In a transaction from Delhi to Lucknow, MRP = Rs10000, discount= 10%, GST= 28%. Here IGST is: a)  Rs2520 b) Rs5040 c) nil  d) none 5) A refrigerator was sold for Rs15000 under intrastate transaction from station A to station B and the GST rate is 18%. CGST is: a) Rs1450 b) Rs 1350 c) Rs1300 d) Rs2700  6) A dealer purchased goods worth Rs 15000 and sold them for Rs21000 within the state. If the rate of GST is 12%, then the net SGST paid by the dealer is: a) Rs360 b) Rs720 c) Rs800 d) Rs850  7) A dealer in Delhi sold a water heater whose marked is Rs22000...
Read more

MULTIPLE CHOICE QUESTIONS -XII

MAXIMUM AND MINIMUM 1) The minimum value of f(x)= x²+ 250/x is a) 55  b) 25 c) 50 d) 75  2) If  f(x)=  1/(4x²+ 2x +1) , then its maximum value is  a) 2/3 b) 4/3  c) 3/4 d) 1  3) The function  f(x)=  2x³- 3x²- 12x +4 has a) no maximum and minimum b) one maximum and one minimum  c) two maximum d)  two minimum  4) The height of the cylinder of maximum volume that can be inscribed in a sphere of radius a is  a) 3a/2  b) √2a/3 c) 2 a/√3 d)  a/√3 5) Maximum value of (logx)/x in [0,∞) is a) (log2)/2 b) 0 c) 1/e d) e 6) let the function f: R--> R be defined by f(x)= 2x + cosx; then f(x).. a) has maximum value at x=0. b) has minimum value at x=π c) is a decreasing function d) is an increasing function  7) The maximum distance from the origin of a point on the curve x= a sin t - b sin(at/b), y= a cos t - b cos(at/b), both a, b> 0, is a) a- b b) a+ b c) √(a²+ b²) d) √(a²- b²) 8) Let x and y be two variables and x...
Read more