SSC Quantitative Aptitude Number System and its Operations Question Bank

done Numbers and Their Principles (II) Total Questions - 40

• question_answer1)
  Twenty one times of a positive number is less than its square by 100. The value of the positive Number is [SSC CGL Tier II, 2017]
  A)
  25 done clear
  B)
  26 done clear
  C)
  42 done clear
  D)
  41 done clear
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• question_answer2)
  The smallest number, which should be added to 756896 so as to obtain a multiple of 11, is [SSC CGL Tier II, 2017]
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  5 done clear
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• question_answer3)
  The product of two numbers is 48. If one number equals "the number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a tricycle", then the other number is      [SSC CGL Tier II, 2017]
  A)
  9 done clear
  B)
  10 done clear
  C)
  12 done clear
  D)
  18 done clear
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• question_answer4)
  Natu and Bachku each have certain number of oranges. Natu says to Bachku, “If you give me 10 of your oranges, I will have twice the number of oranges left with you”. Buchku replies, 'If you give me 10 of your oranges, I will have the same number of oranges as left with you". What is the number of oranges with Natu and Bachku, respectively? [SSC CGL Tier II, 2017]
  A)
  50, 20 done clear
  B)
  70, 50 done clear
  C)
  20, 50 done clear
  D)
  50, 70 done clear
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• question_answer5)
  Two baskets together have 640 oranges. If 1/5th of the oranges in the first basket be taken to the second basket, the number of oranges in the first basket is [SSC CGL Tier II, 2017]
  A)
  800 done clear
  B)
  600 done clear
  C)
  400 done clear
  D)
  300 done clear
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• question_answer6)
  The unit digit in the product \[{{(2467)}^{153}}\times {{(341)}^{72}}\] is [SSC CGL Tier II, 2015]
  A)
  3 done clear
  B)
  9 done clear
  C)
  1 done clear
  D)
  7 done clear
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• question_answer7)
  There is a number consisting of two digits, the digit in the units place is twice that in the tens place and if 2 be subtracted from the sum of the digits, the difference is equal to 1/6th of the number. The number is [SSC CGL Tier II, 2015]
  A)
  23 done clear
  B)
  24 done clear
  C)
  25 done clear
  D)
  26 done clear
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• question_answer8)
  A number when divide by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is [SSC CGL Tier II, 2015]
  A)
  8 done clear
  B)
  9 done clear
  C)
  3 done clear
  D)
  1 done clear
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• question_answer9)
  The greatest number among \[{{3}^{50}},\] \[{{4}^{40}},\]\[{{5}^{30}}\]and \[{{6}^{20}}\]is [SSC CGL Tier II, 2015]
  A)
  \[{{3}^{50}}\] done clear
  B)
  \[{{4}^{40}}\] done clear
  C)
  \[{{5}^{30}}\] done clear
  D)
  \[{{6}^{20}}\] done clear
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• question_answer10)
  Find the unit digit in the pro duct \[{{(4387)}^{246}}\times {{(621)}^{72}}.\]
  A)
  1 done clear
  B)
  2 done clear
  C)
  5 done clear
  D)
  7 done clear
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• question_answer11)
  The remainder when \[{{9}^{19}}+6\] is divided by 8 is
  A)
  2 done clear
  B)
  3 done clear
  C)
  5 done clear
  D)
  7 done clear
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• question_answer12)
  \[({{1}^{2}}-{{2}^{2}}+{{3}^{2}}-{{4}^{2}}+{{5}^{2}}-{{6}^{2}}+...+{{9}^{2}}-{{10}^{2}})\]is equal to
  A)
  \[45\] done clear
  B)
  \[-\,\,45\] done clear
  C)
  \[-\,54\] done clear
  D)
  \[-\,\,55\] done clear
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• question_answer13)
  The product of two numbers is 1575 and their quotient is 9/7. Then, the sum of the number is
  A)
  74 done clear
  B)
  78 done clear
  C)
  80 done clear
  D)
  90 done clear
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• question_answer14)
  \[\frac{1}{1\cdot 4}+\frac{1}{4\cdot 7}+\frac{1}{7\cdot 10}+\frac{1}{10\cdot 13}+\frac{1}{13\cdot 16}\] is equal to
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{5}{16}\] done clear
  C)
  \[\frac{3}{8}\] done clear
  D)
  \[\frac{41}{7280}\] done clear
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• question_answer15)
  The sum of the squares to two natural consecutive odd numbers is 394. The sum of the numbers is
  A)
  24 done clear
  B)
  32 done clear
  C)
  40 done clear
  D)
  28 done clear
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• question_answer16)
  The taxi charges in a city contain fixed charges and additional charge/km. The fixed charge is for a distance of upto 5 km and additional charge/km thereafter. The charge for a distance of 10 km is Rs. 350 and for 25 km is Rs. 800. The charge for a distance of 30 km is
  A)
  Rs. 800 done clear
  B)
  Rs. 750 done clear
  C)
  Rs. 900 done clear
  D)
  Rs. 950 done clear
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• question_answer17)
  A toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed in n boxes containing n toys each, without any remainder. The total number of toys was
  A)
  1424 done clear
  B)
  1434 done clear
  C)
  1444     done clear
  D)
  1454 done clear
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• question_answer18)
  If a and b are odd numbers, then which of the following is even?
  A)
  \[a+b\] done clear
  B)
  \[a+b+1\] done clear
  C)
  ab done clear
  D)
  \[ab+2\] done clear
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• question_answer19)
  The difference of two numbers if 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. The smaller number is
  A)
  240 done clear
  B)
  270 done clear
  C)
  295 done clear
  D)
  360 done clear
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• question_answer20)
  In division sum, the divisor is 4 times the quotient and twice the remainder. If a and b are respectively the divisor and the divided, then
  A)
  \[\frac{4a-{{a}^{2}}}{a}=3\] done clear
  B)
  \[\frac{4b-2a}{{{a}^{2}}}\] done clear
  C)
  \[{{(a+1)}^{2}}=4b\] done clear
  D)
  \[\frac{a\,\,(a+2)}{b}=4\] done clear
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• question_answer21)
  On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17, what will be the remainder?
  A)
  0 done clear
  B)
  3 done clear
  C)
  5 done clear
  D)
  11 done clear
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• question_answer22)
  A number when divided by 5, leaves 3 as remainder. What will be the remainder when the square of this number is divided by 5?
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  4 done clear
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• question_answer23)
  The number 2272 and 875 are divided by a three digit number N, giving the same remainder. The sum of the digits of N is
  A)
  10 done clear
  B)
  11 done clear
  C)
  12 done clear
  D)
  13 done clear
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• question_answer24)
  It is given that \[({{2}^{32}}+1)\] is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
  A)
  \[({{2}^{16}}+1)\] done clear
  B)
  \[({{2}^{16}}-1)\] done clear
  C)
  \[7\times {{2}^{33}}\] done clear
  D)
  \[{{2}^{96}}+1\] done clear
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• question_answer25)
  The numbers 1, 3, 5,....... 25 are multiplied together. The number of zeros at the right end of the product is
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  3 done clear
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• question_answer26)
  The number \[(6{{n}^{2}}+6n)\] for natural number n is always divisible by
  A)
  Only 6 done clear
  B)
  6 and 12 done clear
  C)
  Only 12 done clear
  D)
  Only 18 done clear
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• question_answer27)
  On multiplying a number by 7, all the digits in the product appear as 3's. The smallest such number is
  A)
  47619 done clear
  B)
  47719 done clear
  C)
  48619 done clear
  D)
  47649 done clear
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• question_answer28)
  If a and b are two integers and b > 0, then there exist integers q and r such that
  A)
  \[a=ba+r,\] where \[0\le r<b\] done clear
  B)
  \[b=aq+r,\]where \[0<r\le b\] done clear
  C)
  \[b=rq+a,\]where \[0\le r<b\] done clear
  D)
  None of the above done clear
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• question_answer29)
  In a question on division with zero remainder, a candidate took 12 as divisor, instead of 21. The quotient obtained by him was 35. The correct quotient is
  A)
  0 done clear
  B)
  12 done clear
  C)
  13 done clear
  D)
  20 done clear
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• question_answer30)
  If 517*324 is divisible by 3, then what smallest digit is there in place of *?
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  None of these done clear
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• question_answer31)
  What least value must be given to *, so that the number 42573* is exactly divisible by 72?
  A)
  4 done clear
  B)
  5 done clear
  C)
  6 done clear
  D)
  7 done clear
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• question_answer32)
  The least five-digit perfect square number which is divisible by 3, 4, 5, 6 and 8 is
  A)
  14400 done clear
  B)
  32400 done clear
  C)
  10800 done clear
  D)
  10201 done clear
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• question_answer33)
  What will be the remainder when \[{{19}^{100}}\] is divided by 20?
  A)
  19 done clear
  B)
  20 done clear
  C)
  3 done clear
  D)
  1 done clear
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• question_answer34)
  The denominator of a rational number is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The rational number is
  A)
  \[\frac{1}{4}\] done clear
  B)
  \[\frac{7}{10}\] done clear
  C)
  \[\frac{8}{11}\] done clear
  D)
  \[\frac{5}{8}\] done clear
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• question_answer35)
  The unit digit in \[3\times 38\times 537\times 1256\] is
  A)
  4 done clear
  B)
  12 done clear
  C)
  6 done clear
  D)
  8 done clear
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• question_answer36)
  When 335 is added to 5A7, the result is 8B 2. 8B 2 is divisible by 3. What is the largest possible value of A?
  A)
  8 done clear
  B)
  2 done clear
  C)
  1 done clear
  D)
  4 done clear
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• question_answer37)
  If a clock strikes appropriate number of times at each hour, how many times will it strike in a day?
  A)
  300 done clear
  B)
  156 done clear
  C)
  68 done clear
  D)
  78 done clear
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• question_answer38)
  Find the sum of \[\left( 1-\frac{1}{n+1} \right)+\left( 1-\frac{2}{n+1} \right)+\left( 1-\frac{3}{n+1} \right)+...+\left( 1-\frac{n}{n+1} \right).\]
  A)
  n done clear
  B)
  \[\frac{1}{2}n\] done clear
  C)
  \[(n+1)\] done clear
  D)
  \[\frac{1}{2}(n+1)\] done clear
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• question_answer39)
  When \[({{67}^{67}}+67)\] is divided by 68, the remainder is
  A)
  1 done clear
  B)
  63 done clear
  C)
  66 done clear
  D)
  67 done clear
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• question_answer40)
  If 738A6A is divisible by 11, then the value of A is
  A)
  6 done clear
  B)
  3 done clear
  C)
  9 done clear
  D)
  1 done clear
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