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Home ‣ Aptitude ‣ Quadratic Equation See What Others Are Saying!
- Question
- x - ? 121 = 0
y 2 - 121 = 0
Options- A. If x > y
- B. If x ? y
- C. If x < y
- D. If x ? y
- Correct Answer
-
Explanationx - ?121 = 0
? x = ?121 ? x = ± 11
and y2 - 121 = 0 ? y2 = 121
? y = ?121 = ± 11
? x = y - 1. If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. (? = 3.14)?
Options- A. 5 cm
- B. 8 cm
- C. 3 cm
- D. 4 cm Discuss
- 2. If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the percent increase in volume.?
Options- A. 56.25%
- B. 52.25%
- C. 50.4%
- D. 60.26% Discuss
- 3. If the radius of a cylinder is decreased by 8%, while its height is increased by 4%, what will be the effect on volume?
Options- A. 11.9744% (decrease)
- B. 11.9744% (increase)
- C. 12.4678% (decrease)
- D. 12.4678% (increase) Discuss
- 4. The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ? 10 per sq m is ?15000, then find the height of the hall?
Options- A. 8 m
- B. 6 m
- C. 9 m
- D. 7 m Discuss
- 5. What is volume of a cone having a base of radius 10 cm and height 21 cm?
Options- A. 2200 cm3
- B. 3000 cm3
- C. 5600 cm3
- D. 6600 cm3 Discuss
- 6. The diameter of a right circular cone is 14 m, while its slant height is 9 m, Find the volume of the cone.?
Options- A. 49 ? ?32/3 m3
- B. 50 ? ?32/3 m3
- C. 3/49 ? ?32 m3
- D. ??32/9 m3 Discuss
- 7. A cylindrical jar, whose base has a radius of 15 cm, is filled with water upto a height of 20 cm, A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water (in cm).?
Options- A. 517/27
- B. 55/7
- C. 58/9
- D. 525/27 Discuss
- 8. Three cubes with sides in the ration 3 : 4 : 5 are melted to form a single cube whose diagonal is 12? 3 cm. The sides of the cubes are?
Options- A. 6 cm, 8 cm , 10 cm
- B. 3 cm, 4 cm , 5 cm
- C. 9 cm, 12 cm , 15 cm
- D. None of these Discuss
- 9. ...., 9, 25, 49, 81, 121?
Options- A. 5
- B. 1
- C. 4
- D. 3 Discuss
- 10. Find the value of 1 - 2 - 3 + 2 - 3 - 4 + 3 - 4 - 5 + ... + 100 terms .?
Options- A. -694
- B. -626
- C. -624
- D. -676 Discuss
More questions
Correct Answer: 3 cm
Explanation:
Given, lateral surface area = 94.2 sq cm
? 2?rh = 94.2
? r = 94.2/(2?h) = 94.2/(2 x 3.14 x 5) = 3 cm
Correct Answer: 56.25%
Explanation:
According to the formula
Percentage increase in volume
= (2k + k2/100)% = ( 2 x 25 + 252/100)%
= (50 + 625/100)% = (50 + 6.25)%
= 56.25%
Correct Answer: 11.9744% (decrease)
Explanation:
Here, A = -8%, B = 4%
According to the formula,
Net effect on volume = [2A + B + A2 + 2AB/100 + A2B/1002]%
= [2 x (-8) + 4 + (-8)2 + 2 x (-8) x 4 /100 + (-8)2 x 4 /1002]
= [-16 + 4 + 64 - 64/100 + 256/104]%
=[-12 + 0 + 0.0256]%
= -11.9744% (decrease)
Correct Answer: 6 m
Explanation:
Area of 4 wails = Lateral surface area perimeter = 2(l + b) = 250
? l + b = 250/2 = 125 m
Area to be painted = Cost/Rate = 15000/10 = 1500 sq m
Area of 4 wails = 2(l + b)h = 250 h
? 250h = 1500
? h = 1500/250 = 6 m
Correct Answer: 2200 cm3
Explanation:
Volume of cone = (1/3)?r2h
= (1/3) x (22/7) x 10 x 10 x 21 = 2200 cm3
Correct Answer: 49 ? ?32/3 m3
Explanation:
Given, l = 9 m
and diameter = 14 m ? r = 14/2 = 7 m
Now, volume = (1/3)?r2h
= (1/3)? x 49 x ?l2 - r2
= (1/3)? x 49 x ?81 - 49
= (1/3) x 49? x ?32 = 49??32 /3 m3
Correct Answer: 525/27
Explanation:
Let level of water will be increased by h cm
? x (15)2 x h = (4/3)?(10)3
? h = [(4/3) x 10 x 10 x 10] / [15 x 15]
= 525/27 cm
Correct Answer: 6 cm, 8 cm , 10 cm
Explanation:
Let the side of the cube be 3k, 4k and 5k, respectively.
So, volumes of these cubes are 27 k3, 64k3, 125 k3 respectively.
? Volume of the new bigger cube = 27 k3 + 64k3 + 125 k3
= 216k3
So, side of the new cube = 6k
Since, diagonal of the cube = ?(6k)2 + (6k)2 + (6k)2
= 12?3
? 108k2 = 432
?k = 2
So, sides of the three cubes were 6 cm, 8 cm and 10 cm respectively.
Correct Answer: 1
Explanation:
Series pattern
12, 32, 52, 72, 92, 112
? Missing term = 12 = 1
Correct Answer: -626
Explanation:
The first 100 terms of this series is
(1 - 2 - 3) + (2 - 3 - 4) + ... + (33 - 34 - 35) + 34
The first 33 terms of the above series will given an AP as
-4, -5, -6, ... -36
? Answer = 33 x (-20 ) + 34 = - 626
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