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Quantitative Aptitude Quiz For IBPS PO Mains 2022- 11th November

Direction (1 – 2): Gopal borrows Rs. X from Ankit at 8% annual interest. He then adds Rs. Y of his own money and lends Rs. X+Y to Ishan at 10% annual interest. At the end of the year, after returning Ankit’s dues, the net interest retained by Gopal is the same as that accrued to Ankit. On the other hand, had Gopal lent Rs. X+2Y to Ishan at 10%, then the net interest retained by him would have increased by Rs. 150 and all interests are compounded annually.

Q1. If Veer invested Rs. (X + Y + Z) at the rate of 20% p.a. on compound annually and he get amount of Rs. 13824 after three years, then find value of ‘Z’?
(a) 4400 Rs.
(b) 4800 Rs.
(c) 5400 Rs.
(d) 4000 Rs.
(e) 5800 Rs.

Q2. If Ankur invested Rs.(X+Y+M) and Sameer invested Rs.(X+Y+N) together at the rate of 5% p.a. on compound annually and get Rs. 2255 as interest after two years, then find (N + M)?
(a) 12000 Rs.
(b) 10000 Rs.
(c) 8000 Rs.
(d) 6000 Rs.
(e) 14000 Rs.

Q3. A certain number of men can complete a task in two days earlier than some certain number of boys. Task completed by one man in one hour is same as the work completed by three boys in one hour.
Which one of the following ratios of number of men to number of boys can satisfy the above given condition?
(i) 1: 2
(ii) 2: 5
(iii) 2: 3
(iv) 16: 35
(a) only (ii)
(b) only (ii) and (iii)
(c) only (i) and (iii)
(d) All of the above
(e) only (ii), (iii) and (iv)

Q4. A vessel contains 400 liters of acid A and 80 liters of acid B. If ___________ liters of mixture taken out from the vessel and ________ liters of acid B is added to the remaining mixture, then the final amount of acid A in the vessel becomes 250 liters more than the amount of acid B in it. Which of the following integral values given in the options are possible in the blanks in same order?
(A) (72, 22)
(B) (60, 30)
(C) (84, 24)
(D) (48, 38)
(E) (36, 48)
(a) Only option A, B & D possible
(b) Only option B & D possible
(c) Only option A & E possible
(d) Only option B, D & E possible
(e) Only A, D & E possible

Direction (5 – 7): Data given below about total number of students doing B.TECH from two IIT’s and distribution of students under different stream. Read data carefully and answer the questions:

Total number of students doing B.TECH from IIT Mumbai are 20% more than total students doing B.TECH from IIT Delhi. Out of total students doing B.TECH from IIT Mumbai 40% in CS stream, 20% in Mechanical stream and remaining are in Electrical stream. Total students in CS stream in IIT Mumbai are 140% more than Total students in CS stream in IIT Delhi. Total students in Mechanical stream in IIT Delhi are two times of Total students in Mechanical stream in IIT Mumbai. Remaining 240 students are in Electrical stream in IIT Delhi.

Q5. Total Students in CS stream in IIT Mumbai are what percent less than total students in Mechanical & Electrical stream together in IIT Delhi?
(a) 35%
(b) 40%
(c) 75%
(d) 50%
(e) 55%

Q6. Find the difference between average number of students in CS streams in both IIT and average number of students in Electrical stream in both the IIT’s?
(a) 48
(b) 30
(c) 36
(d) 40
(e) 45

Q7. Find average number of students doing B.TECH from IIT Mumbai and from IIT Delhi?
(a) 815
(b) 855
(c) 825
(d) 845
(e) 805

Q8. One liter of a% of milk is mixed with three liters of b% of milk to give 60% of milk and a > b. Find how many integer values ‘a’ can take (a is multiple of 9).
(a) 7
(b) 5
(c) 6
(d) 3
(e) 9

Q9. The average of five distinct positive numbers p, q, r, s, and t numbers is ‘a’. If we remove q from this set, then the average drops to ‘b’ (b is less than a). Average of r, q, s and t is ‘a’ and r is less than s and t is less than a. The difference between r and q is equal to the difference between s and t. If the average of p, q, r and t is greater than b, then write these five distinct positive numbers p, q, r, s and t in ascending order.
(a) r, t, q, s, p
(b) t, p, r, s, q
(c) q, r, s, p, t
(d) s, r, q, t, p
(e) t, r, p, s, q

Q10. There are five concentric circles that are spaced equally from each other by 2.5 meters. The innermost circle has a square of side √128 meters inscribed in it. If a square need to be inscribed in the outermost circle, what will be its area?
(a) 644 m²
(b) 648 m²
(c) 649 m²
(d) 650 m²
(e) 652 m²

Solutions

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