Q1. Ajay and Vijay travel the same distance at the rate of 3.5 km per hour and 4 km per hour respectively. If Ajay takes 45 minute longer than Vijay, find the total distance travelled by Ajay and Vijay together ?
21 km
45 km
25 km
42 km
30 km
Q2. The distance between two bus stand A and B is 300 km. A bus starts from bus stand A and moves towards bas stand B at the rate of 15 km/hr. After 2 hours, another bus starts from bus stand B and moves towards bus stand A at the rate of 30 km/hr. How far from bus stand A will they cross each other ?
120 km
90 km
30 km
150 km
110 km
Solution:
When bus starts from B, the bus from A will already covered = 30 km
The remaining distance = 300 – 30 = 270 km
Relative speed = 15 + 30 = 45 km/hr
Required time to cross each other = 270/45 = 6 hr
Distance covered by bus started from bus station A till it crosses another bus
= 30 + 15 × 6
= 120 km

Q3. Abhay is twice as good as Vijay and is therefore able to finish a piece of work in 36 days less than Vijay. In how many days they can complete the whole work if they are working together ?
48 days
30 days
36 days
32 days
24 days
Solution:
Ratio of efficiency of Abhay to Vijay 2 : 1
Ration of time → 1 : 2
Let time taken by Abhay and Vijay is 2x and x days respectively
ATQ—
2x – x = 36
x = 36
Required days = 72/3
⇒ 24 days

Q4. A and B can do a piece of work in 12 days and 36 days respectively. If A decrease his efficiency by 33 ⅓% and B increase his efficiency by 50%, then how many days they will complete the remaining work together if half of the work completed before changing in their efficiencies?
2.5 days
4 days
4.5 days
3.6 days
7.2 days
Solution:
Efficiency of A = 3
After decrement his efficiency = 2
Efficiency of B = 1
After increment his efficiency = 2
Total work = 36
Half work completed ⇒ 18
Required time → 18/4
= 4.5 days

Q5. Without stoppage, Kalpana travel’s bus travels a certain distance with an average speed of 60 km/hr, and with stoppage, it covers the same distance with an average speed of 45 km/hr. On an average, how many minutes per hour does the bus stop during the journey ?
25 min
30 min
45 min
20 min
15 min
Directions (6-10): Study the following pie-chart carefully and answer the questions given below:
Pie chart shows the number of passengers who come to Delhi from 6 different countries in 2010 The data given in pie-chart is in degree form

Q6. The total number of passengers from Germany and Brazil together is how much percent more/less than that from U.S.A. (approximately)?
30% more
23% less
25% more
23% more
35% more
Q7. Find the ratio between the total number passengers from Australia, France and Brazil together to the passenger of USA, Germany and China together ?
17 : 19
34 : 29
17 : 38
17 : 35
19 : 17
Solution:
Required ratio = (60° + 68° + 42°): (77° + 58° + 55°)
170 : 190
17 : 19

Q8. Find the total number of passengers from all countries except from Brazil and China ?
2124
3156
2630
2596
2367
Q9. Find the difference between the number of passengers from Australia and China together and from France and Brazil together ?
75
55
48
60
84
Q10. In which country the number of passengers come to Delhi is highest ?
France
Brazil
USA
China
Australia
Solution:
In pie chart, angular distribution of USA is 77° which is highest so the number of passengers are also highest.

Directions (11-15): Simplify the following questions and find the value of (?).

Q11. 999 ÷ 3000 + 8888 ÷ 4400 =?
2.353
23.53
0.2353
235.3
3.253
Solution:
? = 0.333 + 2.02
= 2.353

Q12. 3.8
8.3
9.6
7.6
6.8
Solution:
? = 4.6 × 2.5 – 3.2
? = 8.3

Q13. 8
9
14
12
11
Q14. 233% of 30 + 153% of 70 – 87% of 200 =?
8
6
4
5
3
Solution:
? = 69.9 + 107.1 – 174
? = 3

Q15. 5.6 × 2.8 + 6.3 × 0.9 – 2.5 × 1.5 =?
15.6
16.7
19.4
17.6
1.76
Solution:
? = 21.35 – 3.75
= 17.6