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- Question
A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?
Options- A. 5
- B. 6
- C. 8
- D. 9
- Correct Answer
- 8
- 1. In order that there may be a profit of 20% after allowing a discount of 10% on the marked price, the cost price of an article has to be increased by
Options- A. 30%
- B. 33%
- C. 331/3%
- D. 332/3% Discuss
- 2. A man purchased a shirt and pant with a discount of 25% on its marked price. He sold them at a price 40% more than the price at which he bought them. How much percent the new selling price to its marked price?
Options- A. 5%
- B. 7.5%
- C. 9%
- D. 12.5% Discuss
- 3. A manufacturer marked an article at ? 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
Options- A. ? 40
- B. ? 35
- C. ? 32
- D. ? 30 Discuss
- 4. 12, 15, 21, 30, 42, 57,?
Options- A. 59
- B. 63
- C. 65
- D. 75 Discuss
- 5. 15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?
Options- A. 17
- B. 16 2 3
- C. 18 1 2
- D. 15 Discuss
- 6. If log10 ( x2 - 6x + 45 ) = 2, then the values of x are
Options- A. 6, 9
- B. 9, ?5
- C. 10, 5
- D. 11, ?5 Discuss
- 7. In a game of 90 points, A can give B 15 points and C 30 points. How many points can B give C in a game of 100 points?
Options- A. 140
- B. 20
- C. 50
- D. 30 Discuss
- 8. A man riding a bicycle, completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 min 28 s. What is the area of the field?
Options- A. 7958 sq m
- B. 9856 sq m
- C. 8842 sq m
- D. Cannot be determined Discuss
- 9. A sum of Rs . 2600 is lent out in two part in such a way that the interest on one part at 10% for 5 years is equal to that on another part at 9% for 6 years. The sum lent out at 10% is?
Options- A. Rs. 1150
- B. Rs. 1250
- C. Rs. 1350
- D. Rs. 1450 Discuss
- 10. 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
More questions
Correct Answer: 331/3%
Explanation:
Let MP = ? N
? SP = N x (100 - 10)/100 = ? 9N/10
? CP = (9N/10) x [100/(100 + 20)] = ? 3N/4
Thus, CP has to be increased by = [(N - 3N/4) / (3N/4)] x 100%
= [(N/4) / (3N/4)] x 100 %
= 331/3 %
Correct Answer: 5%
Explanation:
Let the original price of pant and shirt be = ? N.
? Cost price of point and shirt = [N x (100 - 25)]/100 = ? 3N/4
And selling price of shirt and pant = (3N/4) x (100 + 40)/100 = (3N/4) x (140/100)
= ? 21N/20
Hence, required percentage
= [(21N/20 - N)/ N] x 100 % = 100 / 20 % = 5%
Correct Answer: ? 32
Explanation:
? Marked price of an article = ? 50
? SP of an article = 50 x (100 - 20)/100
= (50 x 80)/100
= ? 40
Hence, cost price of an article = (40 x 100)/(100 + 25)
= (40 x 100)/125
= ? 32
Correct Answer: 75
Explanation:
Series pattern
+3, +6, +9, +12, +15, +18
? Missing term = 57 + 18 = 75
Correct Answer: 16 2 3
Explanation:
Correct Answer: 11, ?5
Explanation:
Given that : - log10 ( x2 - 6x + 45 ) = 2
? x2 - 6x + 45 = 102 = 100
? x2 - 6x - 55 = 0
? ( x - 11 ) ( x + 5 ) = 0
? x = 11 or x = - 5.
Hence , the values of x are 11 and - 5.
Correct Answer: 20
Explanation:
A : B : C = 90 : 75 : 60
B:C = 75 / 60 = ( 75 x 100?75 ) / ( 60 x 100?75) = 100 / 80
Hence, in a game of 100 points, B can give C(100 - 80)
= 20 points.
Correct Answer: 9856 sq m
Explanation:
The man takes 3600 s for 14.4 km
The man will take 88 s for
14.4 x (88/3600) = 352/1000 km = 352 m
Now, circumference of circular field = 352 m
? 2?r = 352 m
2 x (22/7) x r = 352
? r = 56 m
Therefore, area of the field = ?r2
= (22/7) x 56 x 56
= 8 x 22 x 56 m2
= 9856 sq m.
Correct Answer: Rs. 1350
Explanation:
Let the money at 10% be Rs. P, Then the money at 9% is Rs. (2600 - P )
? (P x 10 x 5)/100 = [(2600 - P ) x 9 x 6]/100
or 104 x P = 2600 x 54
or P = (2600 x 54) / 104 = Rs.1350
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.
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