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- Question
- If 20 divided into four parts which are in AP such that the product of the first and fourth is to the products of the second and third is in the radio 2 : 3?
Options- A. 1, 3, 7, 9
- B. 2, 4, 6, 8
- C. 3, 5, 5, 7
- D. 4, 6, 3, 7
- Correct Answer
- 2, 4, 6, 8
ExplanationLet the four parts be (a - 3d), (a - d), (a +d), (a + 3d).
From question,
(a -3d) + (a - d) + (a + b) + (a + 3d) = 20
? a = 5
Also, [(a - 3d) (a +3d)] / [(a - d) (a + d)] = 2/3
? [a2 - 9d2] / [a2 - d2] = 2/3
? [52 - 9d2] / [52 - d2] = 2/3
? d = 1
? a = 5, d = 1
So, the four parts are 2, 4, 6, 8 - 1. Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is
Options- A. 0.75 m2
- B. 1.5 m2
- C. 1.5 m2
- D. 0.375 m2 Discuss
- 2. In how many ways, the letters of the word 'STRESS' can be arranged?
Options- A. 360
- B. 240
- C. 720
- D. 120 Discuss
- 3. If there number are 2a, 5a, and 7a, what will be their LCM?
Options- A. 70a
- B. 65a
- C. 75a
- D. 70a3 Discuss
- 4. H.C.F of three numbers is 12. If they be in the ratio 1: 2: 3, the numbers are?
Options- A. 12, 24, 36
- B. 10, 20, 30
- C. 5, 10, 15
- D. 4, 8, 12 Discuss
- 5. The banker's discount on a sum of money for 1½ years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Options- A. 10%
- B. 13%
- C. 12%
- D. 15% Discuss
- 6. 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
- 7. If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions?
Options- A. 1/12
- B. 1/6
- C. 1/24
- D. 1/8 Discuss
- 8. If a = 0.1039, then the value of √4a2 - 4a + 1 + 3a is:
Options- A. 0.1039
- B. 0.2078
- C. 1.1039
- D. 2.1039 Discuss
- 9. (.125 + .027) / (.5 x .5 - 1.5 + .09) =?
Options- A. .08
- B. 1
- C. .2
- D. .8 Discuss
- 10. The speed of a boat downstream is 15 km/hr and the speed of the stream is 1.5 km/hr. The speed of the boat upstream?
Options- A. 13.5 km/hr
- B. 16.5 km/hr
- C. 12 km/hr
- D. 8.25 km/hr Discuss
More questions
Correct Answer: 0.75 m2
Explanation:
Area of rhombus =(d1 x d2)/2
=(1 x 1.5)/2 m2
= 0.75 m2
Correct Answer: 120
Explanation:
Required number of arrangements = 6 ! / 3 ! [? S has come thrice ]
= [ 6 x 5 x 4 x 3! ] /3 !
= 120
Correct Answer: 70a
Explanation:
Required LCM = a x 2 x 5 x 7 = 70a
Correct Answer: 12, 24, 36
Explanation:
Straight forward answer 12, 24, 36
Correct Answer: 12%
Explanation:
| B.D. for 3⁄2 years | = Rs. 558. | |||||||
| B.D. for 2 years |
|
|||||||
| = Rs. 744 |
T.D. for 2 years = Rs. 600.
| ∴ Sum = | B.D. x T.D. | = Rs. | ❨ | 744 x 600 | ❩ | = Rs. 3100. |
| B.D. - T.D | 144 |
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
| ∴ Rate = | ❨ | 100 x 744 | ❩% | = 12% |
| 3100 x 2 |
Correct Answer: 3.696 kg
Explanation:
External radius = 4 cm,
Internal radius = 3 cm.
| Volume of iron |
|
||||||
|
|||||||
| = 462 cm3. |
∴ Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.
Correct Answer: 1/6
Explanation:
Let E = Event of getting same number on both the occasions
= (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
? n(E) = 6
? Required probability = 6/62 = 1/6
Correct Answer: 1.1039
Explanation:
= √(1 - 2a)2 + 3a
= (1 - 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
Correct Answer: .8
Explanation:
Given expression
= [(0.5)3 + (0.3)3] / [(0.5)2 - 0.5 x 0.3 + (0.3)2]
= [a3 + b3] / [a2 - ab + b2]
= [(a + b)(a2 - ab + b2)] / [a2 -ab + b2]
= a+b
= 0.5 + 0.3
= 0.8
Correct Answer: 12 km/hr
Explanation:
Speed of boat in still water = 15 - 1.5 = 13.5 km/hr
Speed of boat in upstream = 13.5 - 1.5 = 12 km/hr
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