Numbers problems
- 1. Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows : 1) None of the floor should be a prime number 2) None of the digit of the floor should be a prime number 3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect. So how many options are left with Maheshwari to buy the floors ?
Options- A. 11
- B. 17
- C. 13
- D. 19 Also asked in: AIEEE, CAT, Bank Exams, Bank Clerk, Bank PO
Correct Answer: 17
Explanation:
Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.
- 2. 25 divided by 7
Options- A. 3.571
- B. 35.71
- C. 0.351
- D. 0.0357 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 3.571
Explanation:
Here we have 25 divided by 7.
25 will not go directly in 7
Hence, we get the result in decimals.
25/7 = 3.571.
- 3. The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
Options- A. 17
- B. 29
- C. 43
- D. none Also asked in: Bank Exams
Correct Answer: none
- 4. K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ?
Options- A. L / (k-3)
- B. k / (L-3)
- C. 2K / 3L-K
- D. 3L / K(K-3) Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 3L / K(K-3)
Explanation:
Intial contribution = L/K
After 3 men drop, then contribution =L/K-3
The amount more to pay in contribution =
=
- 5. From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? 519 328 746 495 837
Options- A. 146
- B. 203
- C. 345
- D. 96 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 146
Explanation:
From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?
Now arranging the given numbers in descending order.
837 746 519 495 328
519 - 746/2 = 519 - 373 = 146.
- 6. There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?
Options- A. 121
- B. 943
- C. 462
- D. None Also asked in: Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 462
Explanation:
Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)
and 121 is not divisible by 2
The answer is 462.
- 7. Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ?
Options- A. 12
- B. 24
- C. 36
- D. 6 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 24
Explanation:
Sum of Interior angle is 180 .
and it is given that interior angle is 150 more than exterior,
so let exterior angle is x then interior will be x+150
now , interior + exterior =180
x+150+x=180
x=15
now , number of sides of polygon = 360 / exterior angle
n = 360 / 15
n = 24
- 8. Which of the following is equivalent to 0.565656...?
Options- A. 56/100
- B. 56/1000
- C. 56/99
- D. 560/90 Also asked in: Bank Exams
Correct Answer: 56/99
- 9. What is the value of (91 + 92 + 93 + ......... +140)?
Options- A. 5775
- B. 11550
- C. 17325
- D. 23100 Also asked in: Bank Exams
Correct Answer: 5775
- 10. If you write down all the numbers from 1 to 100, then how many times do you write 4 ?
Options- A. 11
- B. 20
- C. 17
- D. 14 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 20
Explanation:
4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)
40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)
So, totally (11 + 9 = 20) number of 4's in 1 to 100.
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