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- Question
1397 x 1397 =?
Options- A. 1951609
- B. 1981709
- C. 18362619
- D. 2031719
- E. None of these
- Correct Answer
- 1951609
Explanation1397 x 1397 = (1397)2 = (1400 - 3)2 = (1400)2 + (3)2 - (2 x 1400 x 3) = 1960000 + 9 - 8400 = 1960009 - 8400 = 1951609. - 1. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?
Options- A. 240
- B. 270
- C. 295
- D. 360 Discuss
- 2. 5358 x 51 =?
Options- A. 273258
- B. 273268
- C. 273348
- D. 273358 Discuss
- 3. 8988 ÷ 8 ÷ 4 =?
Options- A. 4494
- B. 561.75
- C. 2247
- D. 280.875
- E. None of these Discuss
- 4. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Options- A. 30Π m2
- B. 40Π m2
- C. 60Π m2
- D. 80Π m2 Discuss
- 5. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Options- A. 4830
- B. 5120
- C. 6420
- D. 8960 Discuss
- 6. {(476 + 424)2 - 4 x 476 x 424} =?
Options- A. 2906
- B. 3116
- C. 2704
- D. 2904
- E. None of these Discuss
- 7. If (64)2 - (36)2 = 20 x x, then x =?
Options- A. 70
- B. 120
- C. 180
- D. 140
- E. None of these Discuss
- 8. If n is a natural number, then (6n2 + 6n) is always divisible by:
Options- A. 6 only
- B. 6 and 12 both
- C. 12 only
- D. by 18 only Discuss
- 9. Which of the following numbers will completely divide (4915 - 1)?
Options- A. 8
- B. 14
- C. 46
- D. 50 Discuss
- 10. The unit digit in the product (784 x 618 x 917 x 463) is:
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
Numbers problems
Search Results
Correct Answer: 270
Explanation:
Let the smaller number be x . Then larger number = ( x + 1365).
∴ x + 1365 = 6x + 15
⟹ 5x = 1350
⟹ x = 270
∴Smaller number = 270.
Correct Answer: 273258
Explanation:
| 5358 x 51 | = 5358 x (50 + 1) |
| = 5358 x 50 + 5358 x 1 | |
| = 267900 + 5358 | |
| = 273258. |
Correct Answer: 280.875
Explanation:
| Given Exp. = 8988 x | 1 | x | 1 | = | 2247 | = 280.875 |
| 8 | 4 | 8 |
Correct Answer: 60Π m2
Explanation:
l = 10 m,
h = 8 m.
So, r = √l2 - h2 = √(10)2 - 82 = 6 m.
∴ Curved surface area = Πrl = (Π x 6 x 10) m2 = 60Π m2.
Correct Answer: 5120
Explanation:
Clearly, l = (48 - 16)m = 32 m,
b = (36 -16)m = 20 m,
h = 8 m.
∴ Volume of the box = (32 x 20 x 8) m3 = 5120 m3.
Correct Answer: 2704
Explanation:
| Given Exp. | = [(a + b)2 - 4ab], where a = 476 and b = 424 |
| = [(476 + 424)2 - 4 x 476 x 424] | |
| = [(900)2 - 807296] | |
| = 810000 - 807296 | |
| = 2704. |
Correct Answer: 140
Explanation:
20 x x = (64 + 36)(64 - 36) = 100 x 28
| ⟹ x = | 100 x 28 | = 140 |
| 20 |
Correct Answer: 6 and 12 both
Explanation:
(6 n 2 + 6 n ) = 6 n ( n + 1), which is always divisible by 6 and 12 both, since n ( n + 1) is always even.
Correct Answer: 8
Explanation:
( x n - 1) will be divisibly by ( x + 1) only when n is even.
(4915 - 1) = {(72)15 - 1} = (730 - 1), which is divisible by (7 +1), i.e., 8.
Correct Answer: 2
Explanation:
Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2
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