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Permutations and Combinations Test 41

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Permutations and Combinations Test 41
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  • Question 1
    1 / -0
    Find the next term
    $$32,49,83,151,287,559,?$$
    Solution

  • Question 2
    1 / -0
    $$4,6,12,30,90,315,?$$
    Solution
    $$=315\times 4$$
    $$=1260.$$
    Hence, the answer is $$1260.$$

  • Question 3
    1 / -0
    Find the next term
    $$1050,420,168,67.2,26.88,10.752,?$$
    Solution

  • Question 4
    1 / -0
    Find next term
    $$462,552,650,756,870,992,?$$
    Solution

  • Question 5
    1 / -0
    find: $$3, 6, 21, 28, 55, 66, ?, 120$$
    Solution
    $$3\times 1=3$$
    $$3\times 2=14$$
    $$7\times 3=21$$
    $$7\times 4=28$$
    $$11\times 5=55$$
    $$11\times 6=66$$

    So, the next number is 15.
    $$\Rightarrow 15\times 7=105$$
    $$15\times 8=120$$

    The series:- $$3,6,21,28,55,66,105,120$$
  • Question 6
    1 / -0
    Determine the next term $$20, 24, 33, 49, 74, 110, ?$$
    Solution
                     $$20,24,33,49,74,110,...$$

    Let the number be $$x$$

    difference $$24-20=4,33-24=9,49-33=16,74-49=25,110-74=36,x-110=49$$

                      $$\implies24-20=2^2, 33-24=  3^2, 49-33=    4^2, \,\,  74-49= 5^2\,\,     110-74=6^2,\,\,\,     x-110= 7^2$$

    So, $$110+49=159$$

    ANSWER IS C
  • Question 7
    1 / -0
    $$529, 841, 961, 1369, 1681, 1849, ?$$
    Solution

  • Question 8
    1 / -0
    $$120, 15, 105, 17.5, 87.5, ?$$
    Solution
    $$120,15,105,17.5,87.5,.....$$
    $$\dfrac{120}{8}=15$$
    $$15\times 7=105$$
    $$\dfrac{105}{6}=17.5$$
    $$17.5\times 5=87.5$$
    $$\dfrac{87.5}{4}=21.875$$
    ANSWER IS C
  • Question 9
    1 / -0
    $$14, 12, 21, 59, 231, 1149, ?$$
    Solution
    $$14,12,21,54,231,1149,..............$$
    $$14\times 1-2=14-2=12$$
    $$12\times 2-3=24-3=21$$
    $$21\times 3-4=63-4=59$$
    $$59\times 4-5=236-5=231$$
    $$231\times 5-6=1155-6=1149$$
    $$1149\times 6-7=6894-7=6887$$
    ANSWER  is C
  • Question 10
    1 / -0
    Find the next term of the series $$1728, 2744, 4096, 5832, 8000, 10648, ?$$
    Solution
    $$1728,2744,4096,5832,8000,10648.....$$
    $$12^3\rightarrow 1728$$
    $$14^3\rightarrow 2744$$
    $$16^3\rightarrow 4096$$
    $$18^3\rightarrow 5832$$
    $$20^3\rightarrow 8000$$
    $$22^3\rightarrow 10648$$
    $$24^3\rightarrow 13824$$
    ANSWER IS B
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