Number System - Set 8

Number System – Set 8

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

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1) Which of the following is a prime number ?

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2) 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 ?

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3) 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?

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4) 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?

1397

1273

1883

1683

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

9944

7733

1155

8844

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

146

136

116

126

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7) The sum of first five prime numbers is?

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

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

odd

None of these

even

zero

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10) 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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11) 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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12) 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?

59.5 hours

49.5 hours

39.5 hours

29.5 hours

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

– 100

100

200

– 200

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15) (112 × 5⁴) = ?

60000

50000

70000

80000

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16) 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 ?

36 minutes 12 seconds

46 minutes 22 seconds

36 minutes 12 seconds

46 minutes 12 seconds

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17) 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

821

814

807

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

7 : 6

8 : 6

9 : 6

5 : 6

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20) 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. 24,000

Rs. 22,000

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

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22) If (-1)ⁿ + (-1)⁴ⁿ = 0, then n is?

Any even natural number

Any odd natural number

Any positive integer

Any negative integer

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

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

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

12/35

1/3

12/43

1/6

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26) 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?

132

142

152

122

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27) 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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28) 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?

185 ft

175 ft

155 ft

165 ft

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29) 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 ?

240

270

250

260

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30) 5^{(x + 3)} = 25^{(3x – 4)}, then find the value of x?

5/11

6/12

12/6

11/5

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

yxz

xyz

x/xyz

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32) 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

None of these

Rs. 99.98

Rs. 98.98

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33) The remainder when 75⁷⁵⁷⁵ is divide by 37?

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

1020

1022

1032

1000

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35) 5358 × 51 = ?

273268

273248

273258

273278

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

110

111

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37) The numerator and denominator of a fraction are in the ratio 3 : 4. If 9 is subtracted from the numerator, the resulting fraction in 2/3

23“> of the original fraction. The numerator of the original fraction is?

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38) 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?

225

215

200

235

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39) 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 ?

364

Cannot be determined

264

464

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40) 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?

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41) (935421 x 625) = ?

594638125

574638125

584638125

564638125

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42) 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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43) 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?

44 / 50

44) (12)³ × 6⁴ × 432^-1 = ?

5174

5184

5182

5172

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

255, 34

204, 170

102, 204

None of these

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

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47) 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?

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48) 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?