Quantitative Aptitude Quiz For SEBI Grade A Phase 1 2022 06th February

Q1. Train A took 8 second to cross a man and took 12 sec to cross a platform of length 120 m. Find the time taken by train A to cross train X having length 16⅔% more than length of train A and running in opposite direction with the speed of 1.2 kmpm.
(a) 12 sec
(b) 7.5 sec
(c) 10.4 sec
(d) 9.6 sec
(e) 11.8 sec
Q2. The average weight of 4 persons P, Q, R and S is 62 kg. A 5th person T is included and the average weight increases by 1 kg. Now, P is replaced by U, due to which average weight decreased to 60. The weight of U is 5 kg more than T. Find the weight of P?
(a) 63 kg
(b) 87 kg
(c) 74 kg
(d) 58 kg
(e) None of these
Q3. The ratio of the number of male and female in a company is 5: 3. If 20% of the men and 30% of the female got promotion, then find the percentage of employee, who do not get promotion.
(a) 76.25%
(b) 72.25%
(c) 77.75%
(d) 74.5%
(e) 73.25%
Q4. A vessel contains mixture of water and spirit in the ratio of 4: 3. 14 liter of mixture is taken out and replaced with 7 liter of spirit such that quantity of spirit in the mixture becomes 18.75% more than that of water. Now 7 liter of mixture is taken out and replaced with 5 liter of water. Find the quantity of water in the final mixture.
(a) 16.2 l
(b) 14.4 l
(c) 13.5 l
(d) 17.8 l
(e) 18.9 l

(a) 12:9:7
(b) 9: 7: 2
(c) 16: 15: 3
(d) 13: 10: 7
(e) 11: 7: 4
Q6. A company offers a packet of 5 articles at the list price of 4 articles and on purchasing 14 such packets gives one packet free. A trader receives 15 packets of the articles in the offer and sells each article at its list price. What is his net percentage profit (approx.)?
(a) 34%
(b) 31%
(c) 37%
(d) 27%
(e) 26%
Q7. The area of a rectangular garden is 500 m2. A person fenced two times, three of the side of the garden with 140 m long wire, he left one of shorter side of garden. Find the length of the garden.
(a) 25 m
(b) 20 m
(c) 10 m
(d) 40 m
(e) 30 m
Q8. Rakesh invested Rs.3200 on compound interest for at R% for 1 year which compounding half yearly. If after a year, he received Rs.850 interest. Find interest, if he invested same amount at same rate for 4 years at simple interest.
(a) Rs.3200
(b) Rs.1600
(c) Rs.2400
(d) Rs.1200
(e) Rs.1800

(a) 20%
(b) 12.5%
(c) 10%
(d) 17.5%
(e) 15%
Q11. How many 7 letters word can be formed from the word “ACCOUNT” such that the vowels occupy the extreme ends?
(a) 72 ways
(b) 720 ways
(c) 180 ways
(d) 360 ways
(e) 144 ways
Q12. A train travelling at 144 km/hr crosses another train, having 60 meters less length and travelling in opposite direction at 126 km/hr in 12 seconds. If longer train cross a railway platform in 40 second, then find time taken by smaller train to cross same platform.
(a) 36 sec
(b) 44 sec
(c) 49 sec
(d) 54 sec
(e) 30 sec

Q13. The average age of the students in a class is 40yrs and if a student whose age was 30 yrs is absent from the class, then average age of those student who were present goes up by 2. How many students were there in the class initially?
(a) 10
(b) 6
(c) 8
(d) 12
(e)15
Q14. RAVI KANT SHARMA is thrice as efficient as Ayush and hence completes a work in 60 days less than the numbers of days taken by Ayush to complete the work. What will be the number of days taken by both of them to complete the work together?(in days)
(a) 22.5
(b) 30
(c) 60
(d) 37.5
(e)45

Q16. Four year ago, the ratio of the ages of A and B was 13:9 and eight year hence it would be 4:3. The difference of their ages four year hence will be?(in years)
(a) 15
(b) 10
(c) 12
(d) 16
(e)20
Q17. A tank can be filled by 1st tap in 20 min and by 2nd tap in 25 min. Both the taps are kept open for 5 min and then the second tap is turned off. In how much time it will get completely filled?(in min)
(a) 12
(b) 16
(c) 10
(d) 9
(e)15
Q18. X men can do a piece of work in 21 days working 8 hours each day. The number of days taken by X men is 70% of number of days taken by (x – 1) men, working 6 hours a day. Find the value of X.
(a) 14
(b) 13
(c) 15
(d) 16
(e) 17
Q19.Abhishek and Avinash starts travelling in same direction with 7kmph and 11kmph respectively. After five hour Avinash reduces his speed by 1kmph and Abhishek double his speed and reached the destination together. How long the entire journey last? (in hrs)
(a) 9
(b) 12
(c) 15
(d) 10
(e) 5