Quantitative Aptitude Quiz For ECGC PO 2023-15th May

Q1. A metro train A starts from Kahsmere Gate at 6:00 AM to reach Iffco Chowk at 7:00 AM while another train B starts from Iffco Chowk at 6:20 AM to reach Kashmere Gate at 7:00 AM. At what time both trains will meet each other if distance between stations is 24 km.
(a) 6:32 AM
(b) 6:36 AM
(c) 6:40 AM
(d) 6:28 AM
(e) 6:30 AM

Q2. Arshad & Sanjay undertake a piece of work for Rs 600. Arshad can do it in 15 days and Sanjay can do it in 30 days. With the help of Vidya, they finish it in 5 days. How much Vidya should be paid for her contribution?
(a) Rs 350
(b) Rs 400
(c) Rs 300
(d) Rs 325
(e) Rs 380

Q3. A passenger train leaves a station at a certain time and at a fixed speed. After, 10 hours, a superfast train leaves the same station and in the same direction moving at a uniform speed of 90 kmph. The train catches the passenger train in 5 hours. Find the speed of passenger train.
(a) 30 kmph
(b) 25 kmph
(c) 28 kmph
(d) 32 kmph
(e) 35 kmph

Q4. A man & a woman receives Rs. 1000 for work of 8 days. If a man is 4 times efficient than a woman. Find the daily wage received by a woman.
(a) Rs.20
(b) Rs.25
(c) Rs.21
(d) Rs.26
(e) Rs.27

Q5. Sanjay starts from his home to reach office at uniform speed of 5 kmph. After 20 minutes, Anurag starts cycling at uniform speed of 12 kmph in same direction from same point. At what distance, he will catch Sanjay? (approx)
(a) 7 km
(b) 4 km
(c) 5 km
(d) 2 km
(e) 3 km

Q6. 4 men & 3 children completes a project for Rs. 600 in 3 days. If a man completes same project in 15 days. Find daily wage of a man.
(a) Rs 36
(b) Rs.40
(c) Rs.44
(d) Rs.48
(e) Rs.42

Q7. A work is completed by P and Q together in 15 days. When a 3rd person R joined them, then the work is completed in 9 days. In how many days, the work is completed by R alone?(in days)
(a) 25
(b) 20
(c) 22.5
(d) 30
(e) 15

Q8.Ravi and Maanik started running simultaneously towards each other with speed in the ratio of 3:4. If the initial seperation between is 4.2 km and they meet in 3 min, then what is the difference between their speeds?
(a) 15 km/hr
(b) 12 km/hr
(c) 18 km/hr
(d) 10 km/hr
(e) 9 km/hr

Q9. A tank is normally filled in 15 hr but due to a leak in it, it takes 3 hrs more to be filled. if the tank is completely filled, then the leak will empty it in ?(in hrs)
(a) 72
(b) 84
(c) 90
(d) 60
(e) 75

Q10. Sanjay starts from A to reach B which is 20 kms apart, at a speed of 5 kmph. By what percent should he increase his speed in order to shorten the journey time by 60%?
(a) 165%
(b) 140%
(c) 175%
(d) 125%
(e) 150%

Solutions