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6. Sol: (c) 10. Sol: (b)
(Tuesday + Wednesday + Thursday)/3=38 Speed of the train = 6km/s
Tuesday + Wednesday + Thursday= 114 ...(1) Train takes 18s to cross a man
(Wednesday + Thursday + Friday)/3=37 Length of the train = 6 × 18 = 108m
(Wednesday + Thursday + Friday) =111 ...(2) Time takes to cross a person running at 9km/s =
Given Friday is 39. 108/9 = 12s
Then, (1) - (2) => Tuesday - Friday = 114-111=3 11. Sol: (d)
So, Tuesday – 39 = 3 Length of the platform = 150m
Tuesday = 3+39 = 42 degree. Length of the train =
7. Sol: (a) (150 + ) covered in 22s.
Let the cost price be x and y. Speed of the train, = 150 = 15 /
+ = 560 … . ( ) 10 150 +
= 560 – 15 =
115 22
Selling price of one watch= (sold at 15% gain) 150 + = 330
100
Selling price of another watch= 90 (sold at 10% = 330 − 150 = 180
100 Therefore the length of the train is 180m.
loss)
115 + 90(560− ) = 560 12. Sol: (c)
100 100 Let = tank capacity
115 +50400−90 = 560 1 3
100 5 + 22 =
4
25x = 56000 – 50400 22 = 11
25x = 5600 20
= 40 litres.
x = 224
13. Sol: (a)
y = 560 – 224 = 336 1 1 1 1
Cost price of the watches are Rs.224 and Rs.336. The ratio among A, B, C and D = ∶ : ∶
3
6
4 5
:
8. Sol: (b) On rearranging the ratio = 60 ∶ 60 60 ∶ 60
3 4 5 6
Suppose, A’s total income is Rs. = 20: 15: 12: 10
A spends 1/3 of his income on rent. So number of pens can be minimum when the
1 2
Remaining = − = common ratio is 1.
3 3
From remaining he spend 1/4 on food 1/5 on movie. So minimum number of pen = 20+ 15 + 12 + 10=57
So, money spent on food and movie 14. Sol: (d)
2
1
1
2
1
= + = + 2 Speed = Distance/Time
4 3 5 3 6 15 75 = 4.16 /
= 5 +4 = 9 = 3 18
30 30 10 75 = 3.41 /
1
Remaining money in salary = − ( + 3 ) 22
3 10 Average speed of the train = 4.16+3.41
19
= − ( ) = 30−19 = 11 7.57 2
11 30 30 30 = 2 = 3.785 /
Now, = 1760
30 15. Sol: (c)
⇒ = 4800 Let the principle amount be Rs.P.
Hence, A’s total income is Rs.4800 Number of years = 4
9. Sol: (a) Let the rate of interest be x%.
Let the numbers be 12 and 13 = = ×4×
12 − 20 2 100 100
= If he had lent for 2% more he would have earned
13 − 20 3
⇒ 3(12 − 20) = 2(13 − 20) more Rs.56
⇒ = 2 ⇒ ×4×( +2) − ×4× = 56
100
Hence, the numbers are 24 & 26 4 +8 4 100
⇒ − = 56
100 100