Number System – Set 8

Dear ! This is Number System – Set 8 Quiz and it contains 50 questions.

Happy Learning!

1 / 50

1) The remainder when 75⁷⁵⁷⁵ is divide by 37?

2 / 50

2) An even number can be expressed as the square of an integer as well as cube of another integer. Then the number has to be necessarily divisible by?

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3) If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is?

xyz

x/xyz

yxz

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4) A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

46 minutes 22 seconds

36 minutes 12 seconds

46 minutes 12 seconds

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5) If (-1)ⁿ + (-1)⁴ⁿ = 0, then n is?

Any positive integer

Any negative integer

Any odd natural number

Any even natural number

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6) A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?

7 / 50

7) The sum and products of two numbers are 12 and 35 respectively. The sum of their reciprocals will be?

1/3

1/6

12/35

12/43

8 / 50

8) 5358 × 51 = ?

273258

273248

273268

273278

9 / 50

9) How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

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10) A certain number of the capsule were purchased for Rs. 176. Six more capsule could have been purchased in the same amount if each capsule were cheaper by Rs. 3. What was the number of capsules purchased?

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11) Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?

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12) In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first no is 2 and sixth no is 26, then the seventh number is?

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13) Sunil entered a shopping center and spent one half of the money that he had. When he finished his purchase he found that he had as many paise as he had rupees and half as many rupees as he had paise when he went. How much money did he have when he entered?

Rs. 75.50

Rs. 98.98

Rs. 99.98

None of these

14 / 50

14) Ram left $13 “> 1 /3$ of his property to his widow and $35 “> 3 /5$ of the remainder to his daughter. He gave the rest to his son who received Rs. 6,400. How much was his original property worth?

Rs. 16,000

Rs. 15,000

Rs. 22,000

Rs. 24,000

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15) A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in last row are?

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16) What is the unit digit in {(6374)¹⁷⁹³ x (625)³¹⁷ x (341⁴⁹¹)}?

17 / 50

17) The largest 4 digit number exactly divisible by 88 is?

7733

8844

9944

1155

18 / 50

18) A virus known to cause a deadly disease, is also a rapid multiplier. It is known that it can double itself every 30 minutes. If a container is completely full of this virus after 50 hours, when was the container half empty?

39.5 hours

29.5 hours

49.5 hours

59.5 hours

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19) What is the least number when divided by 8, 12, 20 and 30 leaves a remainder 4 and when divided by 21 leaves a remainder 7 ?

264

364

464

Cannot be determined

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20) One-third of a tower is painted black, 5/11 $511 “>$ th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is?

155 ft

175 ft

165 ft

185 ft

21 / 50

21) Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ?

5 : 6

8 : 6

7 : 6

9 : 6

22 / 50

22) Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ?

23 / 50

23) Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for his last quiz and he realizes that he must score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. how many quizzes did Prof. Suman take?

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24) The sum of the digits of a two-digits numbers is 12 and when the digits of the to digit number are interchanged, the new number is 36 more than the original. What is the Original number?

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25) The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

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26) a, b, c and d are negative integers. If a^b + a^c + a^d = 0 then a × b × c × d is always?

zero

odd

even

None of these

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27) Sunny gets 7/9 times as many marks in QA as in ENGLISH. If his total combined marks in both the papers is 90. His marks in QA is?

28 / 50

28) What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

800

807

814

821

29 / 50

29) The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is?

1000

1020

1032

1022

30 / 50

30) (935421 x 625) = ?

564638125

574638125

584638125

594638125

31 / 50

31) The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is?

122

132

142

152

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32) What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?

1273

1683

1883

1397

33 / 50

33) Which one of the following is not a prime number?

110

111

34 / 50

34) The remainder when (12¹³ + 23¹³) is divided by 11?

35 / 50

35) Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of last two is 1073. The sum of the three numbers is?

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36) The sum of first five prime numbers is?

37 / 50

37) The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

250

270

240

260

38 / 50

38) What least number must be added to 1056, so that the sum is completely divisible by 23 ?

39 / 50

39) (12)³ × 6⁴ × 432^-1 = ?

5184

5174

5182

5172

40 / 50

40) The sum of 100 terms of the series 1 – 3 + 5 – 7 + 9 – 11 ………. is?

– 200

100

200

– 100

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41) The difference between three times and seven times of a number comes to 36. What is the number?

42 / 50

42) The LCM of two numbers is 1020 and their HCF is 34 the possible pair of number is?

204, 170

102, 204

255, 34

None of these

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43) The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is?

200

215

225

235

44 / 50

44) (112 × 5⁴) = ?

50000

60000

70000

80000

45 / 50

45) Which of the following is a prime number ?

46 / 50

46) 1397 x 1397 = ?

1951609

1981709

18362619

2031719

47 / 50

47) The product of the digits of a three digit number is a perfect square and perfect cube both is?

126

116

136

146

48 / 50

48) 5^{(x + 3)} = 25^{(3x – 4)}, then find the value of x?

11/5

5/11

12/6

6/12

49 / 50

49) Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let ‘X’ be the smallest initial number that results in a win for Amitabh. The sum of the digit of ‘X’ is?