ArithmeticNumbers and Counting (CAT (Common Admission Test for IIMs) Quantitative Aptitude): Questions 32  38 of 69
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Question number: 32
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
In a question, divisor is of the dividend and 5 times the remainder. If the remainder is 3, then find the dividend.
Choices
Choice (4)  Response  

a.  18 

b.  14 

c.  15 

d.  21 

Question number: 33
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
Find the least number of 4 digits and greatest number of 3 digits, which is exactly divisible by 12.
Choices
Choice (4)  Response  

a.  1008,986 

b.  1008,996 

c.  1008,998 

d.  998,1110 

Question number: 34
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
Two numbers when divided by a certain divisor leave remainders 642 and 384 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 326. What is the divisor?
Choices
Choice (4)  Response  

a.  750 

b.  700 

c.  600 

d.  640 

Question number: 35
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
Number when divided by a divisor leaves a remainder of 12. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor?
Choices
Choice (4)  Response  

a.  14 

b.  13 

c.  15 

d.  16 

Question number: 36
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
Two numbers when divided by a certain divisor leave remainders 537 and 281 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 123. What is the divisor?
Choices
Choice (4)  Response  

a.  654 

b.  695 

c.  609 

d.  759 

Question number: 37
» Arithmetic » Numbers and Counting » Calculating Sum of Numbers
Question
Find the sum of first 320 natural numbers.
Choices
Choice (4)  Response  

a.  31360 

b.  51360 

c.  58340 

d.  52360 

Question number: 38
» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests
Question
A certain number when successively divided by 7 and 11 leave remainders of 4 and 5 respectively. What will be remainder when the number is divided by the product of 7 and 11.
Choices
Choice (4)  Response  

a.  33 

b.  34 

c.  32 

d.  39 
