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. 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.
- 3. 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
- 4. 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
- 5. 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.
- 6. 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
- 7. 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.
- 8. Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...
Options- A. 26
- B. 16
- C. 17
- D. 18 Also asked in: CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 17
Explanation:
The pattern is , ,
The next number =
i.e. 17
- 9. If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ?
Options- A. 5
- B. 4
- C. 3
- D. 2 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 2
Explanation:
Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.
- 10. About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?
Options- A. 40
- B. 45
- C. 32
- D. 30 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank PO
Correct Answer: 32
Explanation:
Probability of left handed = 4/5
total student = 40
total left handed = 40 x(4/5)
= 32
Programming
Copyright ©CuriousTab. All rights reserved.