Quantitative Aptitude for IBPS RRB PO and Clerk Mains: 26th September 2018

Q1. Quantity I:’x’ -. Two circles are concentric with center ‘O’. Their radii are 8cm and 10cm respectively. ‘B’ and ‘C’ are the points of contact of two tangents drawn from bigger circle to smaller circle from point ‘A’ lying on bigger circle. ‘x’ is area of quadrilateral ABOC formed in cm^2 
Quantity II: - ‘y’ - The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium be 6 cm, then its area is ‘y’ cm^2  
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

Q2. Quantity I: ‘x’ -. Kundan invested Rs. 20,000 in a scheme offering 22% p.a. at Simple interest. After 2 years he withdraws his money and invested in a bank which is offering ‘x%’ p.a. at compound interest. After 3 years, interest earned by him is Rs.1350 less than amount invested by him in this bank. 
Quantity II: - ‘y’ – Bhawesh sells a diary at Marked price and earns 85 (5/7) % profit while if he gives 'y%’ discount on Marked price then he will earn ‘y%’ profit. 

(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
  (e) Quantity I = Quantity II or No relation

Q3. Quantity I—‘x’: P alone can do the work in ‘x’ days. Q can complete a work in 5 more days than P while Q does the same work in 9 more days than R. If Q and P can complete the whole work in same time as time taken by R alone to do the whole work. 
Quantity II —‘y’: ‘y’ is the days taken by 8 men and 14 women to reap 7/12  part of 360-hectare land by working 7 hrs per day if 6 men and 10 women can reap 5/12 part of the land in 15 days by working 6 hrs per day. It is also given that work of 2 men is equal to that of 3 women. 
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

Q4. Quantity I — ‘x’: ‘x’ is the difference between the speeds of X and Y. Distance between P and Q is 60 km. X and Y start from P at same time & meet 1st time at a place 12 km from Q. They return to P immediately after reaching Q. The speed of slower person is 48 km/hr.
Quantity II —‘y’: ‘y’ is the average speed of train if a distance of 600 km is to be covered in 2 parts. In 1st phase 120 km is traveled by train and rest by car and it took total of 8 hrs, but if 200 km is covered by train and rest by car it takes 20 min more. 
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

Q5. Average of any 200 consecutive natural numbers is 499.5. If next 1000 numbers more are added in it then find the new average. 
(a) 1035.5
(b) 1299.5
(c) 1199.5
(d) 1099.5
(e) 999.5

Direction (6-10): - Line chart given below shows time taken by five different students to complete an assignment ‘M’ alone. Ratio of efficiency of all five students remain same throughout any work. Study the data carefully and answer the following questions.

Q6. All five starts working together to complete work ‘X’. ‘Vivek’ left after 8 days. Work done by ‘Bhawesh’ is same as work done by ‘Nitin’ while ‘Anurag’ and ‘Nitin’ worked for same time. ‘Swati’ worked for ‘y’ days. If ‘Bhawesh’, ‘Nitin’ and ‘Swati’ together can complete work ‘X’ in 24 days then find the value of ‘y’ if Bhawesh worked for starting 10 days. 
(a) 7 days
(b) 9 days
(c) 11 days
(d) 13 days
(e) 15 days

Q7. Anurag and Nitin together can complete work ‘Z’ in (A + 42) days while Bhawesh and Swati together can complete work ‘Z’ in (A + 15) days. All start the work Z such that ratio between work done by Anurag, Bhawesh and Vivek is 1 : 2 : 3, while ratio between days, Nitin, Swati and Vivek worked is 2 : 2 : 1. Find how many days ‘Bhawesh’ worked. 
(a) 10 days
(b) 15 days
(c) 20 days
(d) 30 days
(e) 40 days

Q8. All five persons started together to complete work ‘Y’. Vivek worked for starting 6 days and left the work. After 3 days more both Bhawesh and Swati left too. Remaining 40% work should be completed by Anurag and Nitin together but ‘Anurag’ left after ‘x’ days. Remaining work is completed by ‘Nitin’ in ‘z’ days. If ‘z – x = 3’, then number of days for which ‘Nitin’ worked is what percent more than number of days for which ‘Anurag’ worked. 
(a) 100/3%
(b) 50%
(c) 200/3%
(d) 75%
(e) 100%

Q9. Anurag, Bhawesh and Nitin together starts to do work ‘M’. After 7 days ‘Nitin’ left and after 3 days more ‘Anurag’ and ‘Bhawesh’ left. Remaining work is completed by Swati and Vivek working alternatively in ‘y’ days. If ‘y’ is integer, then find ‘Vivek’ worked for how many days? 
(a) 3 days
(b) 5 days
(c) 4 days
(d) 6 days
(e) Cannot be determined

Q10. Anurag, Bhawesh and Swati starts working together to complete work ‘M’. After 5 days, Bhawesh and Swati replaced by Nitin and Vivek. After 5 more days Anurag left the work. After 1 more day Vivek left too. Nitin worked for total ‘x’ days. In other case Anurag and Bhawesh starts working together to complete ‘M’. After 4 days both are replaced by Vivek. Vivek worked for 5 days and replaced by Swati who worked for 8 days. Remaining work is completed by Nitin in ‘y’ days. Find (y - x)2 ? 
(a) 25
(b) 36
(c) 49
(d) 64
(e) 81

Directions (11-15): What should come in place of the question mark (?) in the following number series?
Q11. 121,    130,     155,     204,     285,       406,      ?
(a) 558
(b) 575
(c) 564
(d) 550
(e) 580

Q12. 5,     7,     30,     272,     ?,     108852
(a) 4534
(b) 4554
(c) 4354
(d) 4252
(e) 4054

Q13. 1,    1,    2,    4.5,    11,     30,      ?
(a) 87
(b) 99
(c) 85
(d) 93
(e) 94

Q14. 1571,    1614,    1664,    1728,    1813,    ?   
(a) 1926
(b) 1920
(c) 1936
(d) 1896
(e) 1698

Q15. 51,    64,     116,      233,    441,     766,     ?
(a) 1334
(b) 1234
(c) 1254
(d) 1285
(e) 1433

Check the detailed solutions here...