Numbers problems
- 1. The unit digit in the product (784 x 618 x 917 x 463) is:
Options- A. 2
- B. 3
- C. 4
- D. 5 Also asked in: Bank Exams
Correct Answer: 2
Explanation:
Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2
- 2. How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
132 = 4 x 3 x 11
So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.
264 → 11,3,4 (/)
396 → 11,3,4 (/)
462 → 11,3 (X)
792 → 11,3,4 (/)
968 → 11,4 (X)
2178 → 11,3 (X)
5184 → 3,4 (X)
6336 → 11,3,4 (/)
Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.
Required number of number = 4.
- 3. If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be:
Options- A. 1
- B. 2
- C. 3
- D. 4
- E. None of these Also asked in: Bank Exams, CAT
Correct Answer: 3
Explanation:
Then number 6 x 2 must be divisible by 8.
∴ x = 3, as 632 is divisible 8.
- 4. If the number 42573 * is exactly divisible by 72, then the minimum value of * is:
Options- A. 4
- B. 5
- C. 6
- D. 7
- E. 8 Also asked in: Bank Exams
Correct Answer: 6
Explanation:
72 = 9 x8, where 9 and 8 are co-prime.
The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6.
Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 9.
∴Required value of * is 6.
- 5. 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.
- 6. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: Bank Exams
Correct Answer: 5
Explanation:
Formula: (Divisor*Quotient) + Remainder = Dividend.
Soln:
(56*Q)+29 = D -------(1)
D%8 = R -------------(2)
From equation(2),
((56*Q)+29)%8 = R.
=> Assume Q = 1.
=> (56+29)%8 = R.
=> 85%8 = R
=> 5 = R.
- 7. Find the next number in the series 125, 80, 45, 20, ....
Options- A. 5
- B. 15
- C. -5
- D. 10 Also asked in: Bank Exams, CAT, Bank Clerk
Correct Answer: 5
Explanation:
The pattern is -45, -35, -25, -15
The next number = 20-15= 5
- 8. Find the next number in the series 14, 916, 2536,......
Options- A. 4981
- B. 6481
- C. 4964
- D. 6449 Also asked in: CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 4964
Explanation:
The pattern is ,
The next number= = 4964
- 9. 7, 16, 36, 78, 144, ? which number come in place of question mark
Options- A. 168
- B. 196
- C. 222
- D. 256 Also asked in: Bank Exams, Bank PO
Correct Answer: 222
- 10. The largest 4 digit number exactly divisible by 88 is ?
Options- A. 9944
- B. 9768
- C. 8888
- D. 9988 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 9944
Explanation:
The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.
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