Number System - Set 10

Number System – Set 10

Dear ! This is Number System – Set 10 Quiz and it contains 34 questions.

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1) The sum of four consecutive two-digit odd numbers, when divided by 10, become a perfect square. Which of the following can possibly be one of these four numbers?

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2) Find the number of divisors of 1420?

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3) Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

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4) If 381A is divisible by 9, find the value of the smallest natural number A?

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5) Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20?

235

245

250

240

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6) Find the remainder when 67⁹⁹ is divided by 7?

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7) A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is?

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8) The remainder , when (15²³ + 23²³) is divided by 19, is?

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9) Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of two number is?

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10) When we reverse the digits of the number 13, the increases by 18. How many other two digit numbers increases by 18 when their digits are reversed?

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11) The rightmost non-zero digit of the number 30²⁷²⁰ is?

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12) What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?

500

700

600

900

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13) The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the changed number?

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14) Find the remainder when 2²⁵⁶ is divided by 17?

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15) If A381 is divisible by 11, find the value of the smallest natural number A?

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16) The LCM of two numbers is 1890 and their HCF is 30. If one of them is 270, the other will be?

190

220

210

200

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17) The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32, 35 is?

4714

5715

6716

3713

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18) In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?

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19) What is the sum of all two digit numbers that gives a remainder of 3 when they are divided by 7?

676

476

576

776

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20) The last digit of the number obtained by multiplying the numbers 81 × 82 × 83 × 84 × 86 × 87 × 88 × 89 will be?

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21) LCM of two numbers is 936. If their HCF is 4 and one of the numbers is 72, the other is?

None of these

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22) Find the remainder when 4⁹⁶ is divided by 6?

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23) Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34?

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24) Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for first time?

12:10 PM

None of these

12:13 PM

12:11 PM

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25) 7⁶ⁿ– 6⁶ⁿ, where n is an integer >0, is divisible by?

559

127

All of these

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26) On a road three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are first switched on at 9:00 AM sharp, at what time will they change simultaneously?

None of these

9:08:24

9:08:44

9:08:04

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27) The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers?

(57, 627) (285, 399)

(37, 575) (270, 390)

(45, 495) (30, 330)

(45, 575) (280, 890

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28) Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?

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29) Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are?

12, 24, 36

15, 24, 36

13, 24, 36

11, 24, 36

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30) A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps?

1420

1412

1416

1418

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31) After the division of a number successively by 3, 4 and 7, the remainder obtained is 2, 1 and 4 respectively. What will be remainder if 84 divide the same number?

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32) The greatest number which will divides: 4003, 4126 and 4249, leaving the same remainder in each case?

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33) Find the LCM and HCF of 2.5, 0.5 and 0.175?

13.5

17.5

15.5

6.5

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34) The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be?

441

331

221

111

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⟵ अघिल्लो सेट (Previous) Number System – Set 9

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Number System – Set 10

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