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- Question
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options- A. 220 km
- B. 224 km
- C. 230 km
- D. 234 km
- Correct Answer
- 224 km
Explanation(1/2)x + (1/2)x = 10 21 24 ⟹ x + x = 20 21 24 ⟹ 15x = 168 x 20
⟹ x = ❨ 168 x 20 ❩ = 224 km. 15
More questions
- 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
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 %- 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
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%- 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
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- 4. 12, 15, 21, 30, 42, 57,?
Options- A. 59
- B. 63
- C. 65
- D. 75 Discuss
Correct Answer: 75
Explanation:
Series pattern
+3, +6, +9, +12, +15, +18
? Missing term = 57 + 18 = 75- 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
Correct Answer: 16 2 3
Explanation:
- 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
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.- 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
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.- 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
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.- 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
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- 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
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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