Addition, Subtraction, Multiplication and Division Questions for Competitive Exam

Basic Arithmetic Operations Addition, Subtraction, Multiplication and Division Questions online test in Hindi and English for competitive exam. This assessment measures an individual’s comprehension of the Number system and its fundamental arithmetic operations.

Number System Type 2 : Division Multiplication, Addition and Subtraction

Question 1 :
A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be :
एक संख्या को 899 से विभाजित करने पर शेषफल 63 मिलता है। यदि उसी संख्या को 29 से विभाजित किया जाए, तो शेषफल होगा:
(1) 10
(2) 5
(3) 4
(4) 2

Show Answer and Solution
(2) 5
899 divided by 29 Required remainder = 31.
remainder got when 63 is divided by 29 = 5

Question 2:
Six digit number is formed by repeating a three digit number; for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible
by :
तीन अंकों की संख्या को दोहराने से छह अंकों की संख्या बनती है; उदाहरण के लिए, 256, 256 या 678, 678 आदि। इस रूप की कोई भी संख्या हमेशा पूरी तरह से विभाज्य होती है द्वारा :

(1) 7 only
(2) 11 only
(3) 13 only
(4) 1001

Show Answer and Solution
(4) 1001
The number (x y z x y z) , after giving weightage of the places at which the digits will occur, as
जिन स्थानों पर अंक आएंगे, उनका वेटेज देने के बाद
100000 x + 10000y + 1000z +100x + 10y + z
= 100100x + 10010y + 1001z
= 1001 (100x + 10y + z)
Since the number is divisible by 1001.
7 × 11 × 13 = 1001
As the number is divisible by 1001, is also be divisible by all three namely, 7, 11 and 13 and not by only one of these because all three are factors of
1001.
So, the answer is 1001.

Question 3:
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
दो संख्याओं का गुणनफल 9375 है और जब बड़ी संख्या को छोटी संख्या से विभाजित किया जाता है तो भागफल 15 होता है। संख्याओं का योग है:
(1) 395
(2) 380
(3) 400
(4) 425

Show Answer and Solution

Let the numbers be x and y and x is greater than y.
xy = 9375 (equation)
\frac{x}{y} = 15
x = 15y
From equation
15y × y = 9375
y^2= \frac{9375}{15} = 625
y = \sqrt[2]{625} = 25
x = 15y = 15 × 25 = 375
x + y = 375 + 25 = 400

Question 4:
Which of the following number is NOT divisible by 18 ?
निम्नलिखित में से कौन सी संख्या 18 से विभाज्य नहीं है?

(1) 54036
(2) 50436
(3) 34056
(4) 65043

Show Answer and Solution
(4) 65043
Number will be exactly divisible by 2 and 9 both. Clearly 65043 is notdivisible by 2.
संख्या 2 और 9 दोनों से पूर्णतः विभाज्य होगी। स्पष्ट रूप से 65043 2 से विभाज्य नहीं है।
Required number = 65043

Question 5:
When 2^{31} is divided by 5 the remainder is
जब 2^{31} को 5 से विभाजित किया जाता है तो शेषफल होता है

(1) 4
(2) 3
(3) 2
(4) 1

Show Answer and Solution
(2) 3
2^{31} = (256)^4 ÷ 2 = \frac{....6}{2} = …..3
The remainder will be 3 when divided by 5.
Illustration :
23 ÷ 5 gives remainder = 3
83 ÷ 5 gives remainder = 3

Number System Questions for Competitive Exams – Online Study Test

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