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- Question
5358 x 51 =?
Options- A. 273258
- B. 273268
- C. 273348
- D. 273358
- Correct Answer
- 273258
Explanation5358 x 51 = 5358 x (50 + 1) = 5358 x 50 + 5358 x 1 = 267900 + 5358 = 273258. - 1. 8988 ÷ 8 ÷ 4 =?
Options- A. 4494
- B. 561.75
- C. 2247
- D. 280.875
- E. None of these Discuss
- 2. 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
- 3. 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
- 4. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Options- A. 75 cu. m
- B. 750 cu. m
- C. 7500 cu. m
- D. 75000 cu. m Discuss
- 5. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
Options- A. 3.6 kg
- B. 3.696 kg
- C. 36 kg
- D. 36.9 kg Discuss
- 6. 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
- 7. 1397 x 1397 =?
Options- A. 1951609
- B. 1981709
- C. 18362619
- D. 2031719
- E. None of these Discuss
- 8. {(476 + 424)2 - 4 x 476 x 424} =?
Options- A. 2906
- B. 3116
- C. 2704
- D. 2904
- E. None of these Discuss
- 9. If (64)2 - (36)2 = 20 x x, then x =?
Options- A. 70
- B. 120
- C. 180
- D. 140
- E. None of these Discuss
- 10. 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
Numbers problems
Search Results
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: 750 cu. m
Explanation:
1 hectare = 10,000 m 2
So, Area = (1.5 x 10000) m2 = 15000 m2.
| Depth = | 5 | m | = | 1 | m. |
| 100 | 20 |
| ∴ Volume = (Area x Depth) = | ❨ | 15000 x | 1 | ❩m3 | = 750 m3. |
| 20 |
Correct Answer: 3.696 kg
Explanation:
External radius = 4 cm,
Internal radius = 3 cm.
| Volume of iron |
|
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|
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| = 462 cm3. |
∴ Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.
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: 1951609
Explanation:
| 1397 x 1397 | = (1397)2 |
| = (1400 - 3)2 | |
| = (1400)2 + (3)2 - (2 x 1400 x 3) | |
| = 1960000 + 9 - 8400 | |
| = 1960009 - 8400 | |
| = 1951609. |
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.
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