Quantitative Aptitude Quiz For IBPS PO Mains 2022-17th January

Directions (1-2) Ankur & Shubham can do a piece of work 64 days together and Shubham &Kartik can do the same work in 72 days together. First 22 days Ankur & Shubham work together, after that Ankur left the work and Kartik joined Shumbham. Kartik and Shubham work for next six days, after that Shubham left the work and remaining work complete by Kartik & Anup in 30 more days. Efficiency of Anup is 75% more than efficiency of Kartik.

Q1. Kartik and Anup work for xdays, Ankur and Shubham work for next (x+2 ⅔) days,If remaining 12 ½ % of total work complete by Prabhat in 6 more day. Prabhat will do, what portion of total work in (x+12) days?
(a) ⅔
(b) ¼
(c) ¾
(d) ⅔
(e) ⅖

Q2. Ankur and Shubham start work alternatively and work for y days. After thatKartikand Anup replace them and work for next y/2 days alternatively. If 75/8% of total work still remain, which complete by Abhimanyu in 9 more days. Find if Abhimanyu work for (y+16) days, then in how many days remaining work will be completed by Anup and kartik?(y is divisible by 4 )
(a)48/11 days
(b)34/11 days
(c) 20 days
(d) 28 days
(e) 32 days

Directions (3-4): Three partners Abhishek, Neeraj and Aniket enter into a partnership business with the capitals in the ratio of 3 : 5 : 8. After four month Abhishek, Neeraj and Aniket added Rs. 6000, Rs. 9000 and Rs. 12000 respectively, after next four months Abhishek and Aniket withdraw Rs. 5000 and Rs. 8000 respectively and Neeraj added additional Rs. 6000.

Q3. Two persons Ankur and Saurabh enter a business. Ankur invested capital 6000 more than what Abhishek invested for first four month and Saurabh invested what Aniket invested for last four months. If Ankur and Saurabh got profit share after one year in the ratio of 15 :28 then find theinvestment of Neeraj for last four months?
(a) 24000 Rs.
(b) 18000 Rs.
(c) 16000 Rs.
(d) 30000 Rs.
(e) 36000 Rs.

Q4. Amir and Mayank started a business in partnership. Amir investmentfor six months is Rs. 6000 more thanwhat Neeraj invested for first fourmonthsand Mayank invested for eight months, Rs. 2000 lessthan whatAniket invested for first four monthsIf Mayank got profit share of Rs. 15400, out of total profit Rs. 22750 thenfind the investment of Amir is how much less than investment of Mayank?
(a)218000 Rs
(b)216000 Rs.
(c)210000 Rs.
(d)220000 Rs.
(e) 232000 Rs.

Directions (5–6): There are two trains A and B, both train starts travelling to each other from stations P and Q respectively. Train A reaches the station Q in total 4 hours while train B reaches the station P in total 4 hours 48 minutes. Speed of train A is 120 km/hours.

Q5. Train A and B running on two different railroads parallelly in opposite direction to two different trains C and D respectively. Train A passed train C, which running at the speed of 60 km/hr. in 6 sec. and train B passed train D, which running at the speed of 110 km/hr. in 9 sec. if ratio between length of train A to train C is 3: 2, and that of between train B to train D is 4 : 3. Find in what time train D passed train C, if both running in same direction?
(a) 22.64 sec
(b) 24.84 sec
(c) 24.24 sec
(d) 28.84 sec
(e) 20.84 sec

Q6. Ratio between speed of train A to train E is 6: 5.Train E starts a journey from Kolkata to Delhi, which is 600 km at 9.45pm and train A starts same journey after 30 minutes of train E.Train A stop for x minutes on each three stoppages and train E stop for (x+10) minutes each on three stoppages between Kolkata to Delhi.Train A reaches Delhione hour earlier than train E, which reaches at 4.30 am.Findinwhat time train B a total distance of 720 km cover between Lucknow to Jaipur. If train B stop for (x+10) minutes on four stoppages between Lucknow to Jaipur?
(a) 4 hours
(b) 8 hours
(c) 8.2 hours
(d) 10 hours
(e) 12 hours

Q7. A man purchased fourteen type A mobile, twenty type B mobile and fifteen type C mobile in sale. If store owner made a total profit of Rs. 17500 on all type A mobile, purchased by man than find total profit made by store owner on type B and type C mobiles, which was purchased by man?
(a) 82500 Rs.
(b) 84500 Rs.
(c) 78500 Rs.
(d) 87500 Rs.
(e) 88500 Rs.

Directions (9-10):Three milkmanP, Q and R have mixture of milk and water in the quantity of (X + 24)liters,(X+54)liters and (X+ 84)liters and milk and water in the ratio of 2 : 3, 8 : 7 and 13 : 5 respectively.

Q9. If P sold 50 liters of his mixture and 8 liters of milk added in remaining mixture, new ratio of milk and water becomes 6 : 7 . What quantity of water should be added by Q and R, so new ratio of their mixture becomes 5 : 7 & 5 : 4 respectively?
(a) 56 liters& 40 liters
(b) 54 liters& 42 liters
(c) 50 liters& 30 liters
(d) 60 liters& 50 liters
(e) 64 liters& 30 liters

Q10. Q sold 40% of his mixture and R sold 50% of his mixture, remaining mixture of both became equal. If all three charge Rs. 2 for one liter of water and production cost of milk for P, Q and R in the ratio of 5 : 6 : 7 and total mixture, which all three milkman have cost Rs. 3644. Find production cost of milk per liter for P, Q and R respectively?
(a) 5 Rs. 6 Rs & 7 Rs.
(b) 25 Rs. 30 Rs & 36 Rs.
(c) 10 Rs. 12 Rs & 16 Rs.
(d) 10 Rs. 12 Rs & 14 Rs.
(e)10 Rs. 14 Rs& 15s.

Solutions