Numbers problems
- 1. n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?
Options- A. 3
- B. 2
- C. 1
- D. 0 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 2
Explanation:
Let n = 4 q + 3. Then 2 n = 8 q + 6 = 4(2 q + 1 ) + 2.
Thus, when 2n is divided by 4, the remainder is 2.
- 2. The product of a number and its multiplicative inverse is
Options- A. 1
- B. 0
- C. -1
- D. Infinity Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 1
Explanation:
The mutiplicative inverse of a number is nothing but a reciprocal of a number.
Now, the product of a number and its multiplicative inverse is always equal to 1.
For example :
Let the number be 15
Multiplicative inverse of 15 = 1/15
The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
- 3. The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ?
Options- A. 546, 3901
- B. 415, 3770
- C. 668, 4023
- D. 404, 3759 Also asked in: GATE, GRE, Analyst, Bank Clerk, Bank PO, Database Administrator, Project Manager, Software Architect, AIEEE, Bank Exams, CAT
Correct Answer: 668, 4023
Explanation:
Let the smaller number be k.
Then, larger number = (3355 + k)
Therefore 3355 + k = (6k + 15)
?=? 5k = 3340
?=? k = 668.
Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.
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