# Number System Questions and Answers updated daily – Aptitude

Number System Questions: Solved 444 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Number System Questions

421. Find the NEXT term :
0, 2, 6, 12, 20, 30, ?

Correct Ans:42
Explanation:
Given flow is: 0, 2, 6, 12, 20, 30
Logic is:
12- 1 = 0
22- 2 = 2
32- 3 = 6
42- 4 = 12
52- 5 = 20
62 - 6 = 30
The next term has to be 72- 7 = 42
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422. What number shoud come next 34, 17, 18, 9, ?

Correct Ans:10
Explanation:
Solution is
Given
34, 17, 18, 9
Second number is half of first number => 34 / 2 = 17
Third number is Second number + 1 => 17 + 1 = 18
Fourth number is half of third number => 18 / 2 = 9
Fifth number is fourth number + 1 => 9 + 1 = 10
Alternately divide by 2 and add 1
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423. What number shoud come next ? 2, 3, 5, 7, 11, ?

Correct Ans:13
Explanation:
Given 2, 3, 5, 7, 11, Prime numbers writen in the order Answer 13
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424. Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

Correct Ans:1/8
Explanation:
Solution is
Given
: 2 , 1 , 1/2 , 1/4
Divide each number by 2 to get the next number
2 / 2 = 1
1 / 2 = 1 / 2
1 / (2 x 2) = 1 / 4
1 / (4 x 2) = 1 / 8
Answer is 1 / 8
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425. Find the next number, 2, 5, 10, 17, ?

Correct Ans:26
Explanation:
Solution is :
Given : 2, 5 , 10, 17
= 12 +1, 22 + 1, 32 + 1, 42 +1 , (52+1)
So,
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426. Find the next number, 2, 6, 12, 20, ?

Correct Ans:30
Explanation:
Given : 2, 6, 12, 20 1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6) Answer is 30. Product of two consecutive natural numbers
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427. If a quarter kg of potato costs 60 paisa, how many paisa will 200gm cost ?

Correct Ans:52
Explanation:
Quarter kg = 250 grams Less weight, less price (direct proportion) 250 : 200 :: 60 : x x = (200 x 60)/ 250 => x = 48 So 200 gm will cost 48 paisa
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428. How much part of a day is 45 minutes ?

Correct Ans:Jan-32
Explanation:
45 minutes = 3/4 of an hour. An hour = 1 / 24 of day 3/4 of hour = 3/ (4 x 24) of day = 1/32 of the day
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429. 2720 ? 2710 = 3k, then k = ?

Correct Ans:30
Explanation:
27^20 ? 27^10 = 3^k => 27^10 = 3^k => (3^3)10 = 3^k => 3^30 = 3^k.
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430. Five ? sixths of a number is 720. What will be 45 % of that number ?

Correct Ans:388.8
Explanation:
Let the number be k Then 5k/6 = 720 => k = 720 x (6/5) = 864 45% of 864 = (45/100) x 864 = 388.8
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431. By how much is 3/4th of 568 lesser than 7/8th of 1008

Correct Ans:456
Explanation:
7/8 * 1008=882 3/4* 568=426
so difference is 882-426=456
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432. Find the value of k, if k / 171 = 76 / k

Correct Ans:114
Explanation:
k / 171 = 76 / k ? k2 = 76 x 171 = 4 x 19 x 19 x 9 ? k2=22 x 192 x 32 => k = 2 x 19 x 3 => k = 114
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433. If the numerator of a fraction is increased by 300% and the denominator is increased by 100%, the resultant fraction is 1 11/19 . Find the original fraction

Correct Ans:15/19
Explanation:
Let the original fraction be x/y. Numerator increased by 300% means, it is quadrupled. Denominator increase by 100% means, it is doubled. New fraction is 4x/2y = 30/19 (writing in simple fraction) ? 2x/y = 30/19 => x/y = 15/19
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434. Which of the following number should be added to 28614 in order to obtain a multiple of 87 ?

Correct Ans:9
Explanation:
On dividing the given number 28614 by 87, we have the remainder = 78. That is 28614 = 87 x 328 + 78 Therefore, the required number to be added is 87-78 = 9
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435. The sum of two numbers is 16 and their difference is 2. Find the product of the two numbers

Correct Ans:63
Explanation:
Let the two numbers be x and y Sum of the two numbers x + y=16 Difference of the two numbers x-y=2 Adding these two equation, we get 2x=18 => x = 9 Subtracting these two equation, we get 2x=14 => y = 7 Product of these two numbers : (x) x (y) = 63
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436. What number comes next : 899 , 960 , 1023 , 1088 , ... ?

Correct Ans:1155
Explanation:
Given 899 , 960 , 1023 , 1088 ,...

First number is (30 x 30)-1 ,

Second number is (31 x 31)-1 ,

Third number is (32 x 32) -1 ,

Fourth number is (33 x 33) -1

The numbers are in the form of n2 ? 1 Next number has to 34 x 34-1 = 1155
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437. What should come in place of the question mark (?) in the following number series 2 5 11 23 47 ?

Correct Ans:95
Explanation:
2 5 11 23 47 ? It is clear that the next number has to be 47 + 48 =95
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438. If the product of two successive positive integers is 5328, which is the smallest integer?

Correct Ans:72
Explanation:
72 x 74 = 5328
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439. On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

Correct Ans:5
Explanation:
Let X be the number and y be the quotient. Then, X = 357 x y + 39 =(17x21xy)+(17x2)+5 =17 x (21y+2)+5 So, required number = 5
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440. Cube root of (941192) = ?

Correct Ans:98
Explanation:
98 x 98 x 98 = 941192
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