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Q1. A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other?
Q2. The respective ratio of the speed of the boat in upstream to speed of the boat in downstream is 4: 9. What is the speed of the boat in still water if it covers 84 km downstream in 2 hours 20 minutes? (in km/h)
Q3. A steamer went downstream for 28 km and immediately returned. It took the steamer twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the steamer in still water and the speed of the river flow.
Q4. A boat running in upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running in downstream. What is the ratio of the speed of the boat in still water to speed of the water current?
Speed of current = y kmph
∴ (x - y) × 528 = (x + y) × 240
⇒ (x - y) × 11 = (x + y) × 5
⇒ 11x - 11y = 5x + 5y ⇒ x ∶ y = 8 ∶ 3
Q5. Anita’s father was 38 years in age when she was born while her mother was 36 years old when her brother who is four years younger to her was born. What is the difference between the ages of her parents?
Mother’s age when Anita was born = 36 – 4 = 32 years
Difference = 38 – 32 = 6 years.
Directions (6-10): What will come in place of question mark (?) in the following number series ?
Q6. 25 30 49 56 81 90 ? 132
Q7. 600 75 12.5 ? 1.5625
∴ ? = 12.5 ÷ 4
Q8. 6 19 71 279 1111 ?
Q9. 4 18 60 186 564 ?
∴ ? = 564 + 14 × 81
Q10. 12 13 28 87 352 ?
∴ ? = 352 × 5 + 5
Directions (11-15): Study the following pie-charts carefully and answer the questions given below them.
The given pie chart shows the fund that an organization gets from different sources is equal to Rs. 16 crores. The other pie chart shows the distribution/investment of fund in different sections.
[Note: Total fund received in pie chart 1 are utilized in different sectors pie chart 2]
Q11. What is the difference between the fund acquired by the organization from NGOs and that from Government Agencies?
= Rs. 4,16,00,000
Q12. If the organization managed Building Maintenance from the Ministry of Home Affairs fund only, how much fund from the Ministry of Home Affairs would still be left for other use?
= 42% of 16 cr – 25% of 16 cr
= 17% of 16 cr
= 2.72 crore
Q13. If the Scholarship has to be paid out of the fund from Government Agencies, find what is the percentage of Government Agencies fund used for this purpose.
Q14. What is the total amount used by the organization for Payment?
Q15. What is the amount of fund acquired by the organization from Ministry of Home Affairs?
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