Numbers problems
- 1. 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
- 2. 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.
- 3. 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
- 4. 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
- 5. Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?
Options- A. 6, 14
- B. 8, 12
- C. 4, 16
- D. 10, 10 Also asked in: Bank Exams, CAT
Correct Answer: 6, 14
- 6. 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.
- 7. Find two numbers whose sum is 29 and the product is 100.
Options- A. 20, 5
- B. 20, 9
- C. 25, 4
- D. 10, 10 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 25, 4
- 8. Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Options- A. 98
- B. 89
- C. 78
- D. 87 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 89
- 9. Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Options- A. 92
- B. 29
- C. 36
- D. 63 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 29
- 10. The sum of a non-zero number and its reciprocal is 2. What is the number?
Options- A. 1
- B. 2
- C. 0
- D. 4 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 1
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