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Home ‣ Aptitude ‣ Odd Man Out and Series Comments
- Question
- Find out the next term in the series 7, 11, 13, 17, 19, ...
Options- A. 21
- B. 23
- C. 27
- D. None of these
- Correct Answer
- 23
ExplanationGiven series is a consecutive prime number series. Therefore, the next term will be 23.
- 1. 10 circular plates each of thickness 3 cm, each are placed one above the other and a hemisphere of radius 6 cm is placed on the top just to cover the cylindrical solid. What is the volume of the solid so for formed?
Options- A. 264? cm3
- B. 252? cm3
- C. 236? cm3
- D. None of these Discuss
- 2. The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm 2, then its volume is?
Options- A. 1632 cm3
- B. 1078 cm3
- C. 1232 cm3
- D. 1848 cm3 Discuss
- 3. If 1 cubic cm of cast iron weights 21 gm, then the weight of a cast iron pipe of length 1 m with a bore of 3 cm and in which the thickness of the metal is 1 cm, is?
Options- A. 21 kg
- B. 24.2 kg
- C. 26.4 kg
- D. 18.6 kg Discuss
- 4. 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
- 5. If the height, curved surface area and the volume of a cone are h, c and V respectively, then 3?Vh 3 - c 2 + 9V 2 will be equal to?
Options- A. 0
- B. 1
- C. chV
- D. V2h Discuss
- 6. Find the missing term 6,?, 21, 33, 48
Options- A. 14
- B. 20
- C. 12
- D. 18 Discuss
- 7. Find the value of the expression 1 - 2 + 3 - 4 + 5 - 6 + 7 + .... upto 100 terms .?
Options- A. -150
- B. -60
- C. -100
- D. -50 Discuss
- 8. If A represents the arithmetic mean, H represents the harmonic mean and G represents the geometric mean, then what is the relation between them?
Options- A. A x H = G
- B. A x H = G2
- C. A/H = G2
- D. A/H = G Discuss
- 9. 4, 12, 36,?, 324, 972
Options- A. 108
- B. 125
- C. 215
- D. 312 Discuss
- 10. ...., 9, 25, 49, 81, 121?
Options- A. 5
- B. 1
- C. 4
- D. 3 Discuss
Odd Man Out and Series problems
Search Results
Correct Answer: None of these
Explanation:
If 10 circular plates each of thickness 3 cm, each are placed one above the other, then it forms a cylinder with height (3 x 10 = 30 cm) and a hemisphere of radius 6 cm is placed on the top just to cover the cylinder that means its radius is 6 cm also
? Radius of hemisphere (R) = 6 cm
Radius of cylinder (r) = 6 cm
and height of cylinder (h) = 30 cm
? Volume of the solid = Volume of cylinder + Volume of hemisphere
= ?r2h + (2/3)?R3
= ?(6)2 x 30 + (2/3)?(6)3
= ? x 36 x 30 + (2/3)? x 216
= 1080? + 2? x 72 = 1080? + 144?
= 1224? cm3
Which is the required volume of solid.
Correct Answer: 1078 cm3
Explanation:
Curved surface area of cylinder = 2?rh cm2
Total surface area of cylinder = 2?r(h + r) cm2
Now, According to the question
2?rh/2?r(h + r) = 1/2
? h/(h + r) = 1/2
? 2h = h + r
? Now, Total surface area = 616 cm2
? 2? (h + r) = 616
? 2?r (r + r) = 616 (? h = r)
? 2?r(2r) = 616
? 4?r2 = 616
? r = ?style="text-decoration:overline">616/4?
= ?616 x 7/4 x 22
= ?7 x 7 =
? r = h = 7 cm
? Volume = ? r2 h
= (22/7) x (7 x 7) x 7 = 1078 cm3
Correct Answer: 26.4 kg
Explanation:
External radius = 2.5 cm,
length = 100 cm
? External volume = [? x (2.25)2 x 100] cm2
internal radius = 1.5 cm
? internal volume = [? x (1.5)2 x 100]cm3
Volume of metal
= [? x (2.5)2 x 100 - ? x (1.5)2 x 100] cm3
= ? x 100 x [(2.5)2 - (1.5)2] cm3
= (22/7 x 100 x 4 x 1 x 21/1000) kg
= 26.4 kg.
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: 0
Explanation:
Let h be the height,
Volume of the cone = V
and curved surface area of the cone = c
? 1/3 ?r2h = V, ?rl = c
i.e., ?r?r2 + h2 = c
?2r2(r2 + h2) = c2
Consider 3?Vh3 - c2h2 + 9V2
= 3? x 1/3?r2h x h3 - ?2r2(r2 + h2)h + 9 x 1/9 x ?2r4 h2
= ?2r2h4 - ?2r4h2 - ?2r2h4 + ?2r4 = 0
Correct Answer: 12
Explanation:
Series Pattern
+6, +9, +12, +15....
? Missing term = 6 + 6 = 12
Correct Answer: -50
Explanation:
(1 - 2) = -1
(3 - 4) = -1
(5 - 6) = -1
and so on.
? Total terms of -1 will be 50.
? Answer = -1 x 50 = -50
Correct Answer: A x H = G2
Explanation:
A = (a + b)/2,
1/H = (1/a + 1/b)/2
? H = 2ab/(a +b),
G = ?ab
? A x H = {(a + b)/2} x {2ab/(a + b)} = ab = G2
? A x H = G2
Correct Answer: 108
Explanation:
Series pattern
Every next element = 3 x previous element
? Missing term = 3 x 36 = 108
Correct Answer: 1
Explanation:
Series pattern
12, 32, 52, 72, 92, 112
? Missing term = 12 = 1
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