Numbers problems
- 1. 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.
- 2. 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.
- 3. 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.
- 4. The difference between the squares of two consecutive odd integers is always divisible by ?
Options- A. 8
- B. 2
- C. 6
- D. 4 Also asked in: CAT, Bank Clerk
Correct Answer: 8
Explanation:
Let the two consecutive odd integers be (2x + 1) and (2x + 3)
Then,
(2x + 3)2 - (2x + 1)2
= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)
= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8
- 5. 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
- 6. 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
- 7. 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.
- 8. How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?
Options- A. 7
- B. 9
- C. 11
- D. 5 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 9
Explanation:
LCM of 2, 3, 7 is 42.
=> (700 ? 300)/42 = 9 22/42 => 9 Numbers.
- 9. Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1.
Options- A. 3
- B. 2
- C. 1
- D. 0 Also asked in: CAT, Bank PO
Correct Answer: 1
Explanation:
Given that,
Now Power Cycle of
4 is 4, 6
6 is 6
8 is 8, 4, 2, 6
1 is 1
- 198 is even number , So the unit digit value is 6
- It is always 6
- 66/4 the remainder is 2 , So the second value is 4
- 11 is odd number, So the unit digit value is 4
1 - It is always 1
Total = 21
Therefore, The unit digit is 1
- 10. At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
Options- A. 60
- B. 74
- C. 82
- D. 58 Also asked in: Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 60
Explanation:
Let,
no. of rice bowl = x
no. of dal bowl = y
no. of meat bowl = z
Then, x + y + z = 65 ....(1)
Also given that, 2x = 3y = 4z
substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),
We get x = 30.
As 1 rice bowl is shared between 2 guests,
Therefore, there are 60 guests.
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