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. 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 =
=
- 4. 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.
- 5. 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
- 6. 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.
- 7. Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?
Options- A. Rs. 13 and Rs. 17
- B. Rs. 17 and Rs. 19
- C. Rs. 23 and Rs. 17
- D. Rs. 13 and Rs. 19 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: Rs. 13 and Rs. 17
Explanation:
If fares for cities L and M from K are x and y respectively, then
2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)
subtracting 2 from 1, we get
5y = 85
y = Rs. 17 => x = Rs. 13
- 8. What will come in place of the question mark in the series below? 7, 4.5, 5.5, 12, 49, ?
Options- A. 393
- B. 396
- C. 354
- D. 367 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 393
Explanation:
Ans.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
- 9. What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?
Options- A. 6
- B. 4
- C. 2
- D. 3 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 3
- 10. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Options- A. 10 & 12
- B. 10 & 18
- C. 12 & -18
- D. -12 & 18 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: -12 & 18
Explanation:
Given, difference of the squares of two numbers is 180.
= k2 - l2 - 180
Also, square of the smaller number is 8 times the larger.
= l2 = 8k
Thus, k2 - 8a - 180 = 0
k2 ? 18k + 10k - 180 = 0
? k(k - 18) + 10(k ? 18) = 0
= (k + 10)(k ? 18) = 0
? k = -10, 18
Thus, the other number is
324 - 180 = l2
? Numbers are 12, 18 or -12, 18.
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