NABARD Grade ‘B’ Officers Examination-2020 Held on 7-3-2020
Quantitative Aptitude
Directions-(Q. 1 to 6) Refer to the pie charts and answer the given question-
The following data refers to the distribution of total number of employees (in all the departments together) in various organizations (A, B, C, D and E) and the distribution of employees in only HR department of the specific organization.
1. In organization A, number of employees who are not in the HR department, constitute what per cent of the total number of employees in the same organization?
(A) 94.5
(B) 88.75
(C) 86.25
(D) 90.75
(E) 95.2
2. What is the difference between the number of employees in all the departments together in organization B and the number of employees working in HR department in organization C?
(A) 720
(B) 620
(C) 626
(D) 636
(E) 654
3. In all the given organizations together, what is the total number of female employees (in all the departments together), if the male employees constitute 70% of the total number of employees of the all the organizations together?
(A) 1000
(B) 1200
(C) 2100
(D) 1800
(E) 1500
4. What is the average number of employees in HR department of organizations B, C and D?
(A) 112
(B) 100
(C) 72
(D) 64
(E) 90
5. What is the central angle corresponding to the total number of employees (in all the departments together) in organization E? (in degrees)
(A) 80
(B) 75
(C) 64
(D) 78
(E) 72
6. Total number of employees in HR departments in organizations D and E together is what per cent of employees (in all the departments together) in organization B?
(A) 
(B) 
(C) 25
(D) 
(E) 15
7. Amu invested Rs 1,600 in a scheme offering compound interest at R% per annum (compounded) and earns an interest of Rs 704 at the end of two years. How much interest would she has earned if she invested the same sum at (R-8)% per annum simple interest for the same period time?
(A) Rs 640
(B) None of those given as options
(C) Rs 240
(D) Rs 384
(E) Rs 420
Directions-(Q. 8 to 10) In this question two equations numbered I and II have been given. You have to solve both the equations and mark the appropriate option if-
(A) x < y
(B) x > y
(C) x ≤ y
(D) x ≥ y
(E) x = y or no relation can be established.
8. (I) x2 – 13x + 36 = 0
(II) y2 – 18y + 80 = 0
9. (I) x2 + 7x + 12 = 0
(II) y2 + 5y + 6 = 0
10. (I) x2 – 6x + 9 = 0
(II) y2 – 8y + 16 = 0
11. The perimeter of a rectangle is equal to the perimeter of a square whose side is twice of the breadth of the rectangle. What is the respective ratio between the side of the square and the length of the rectangle?
(A) 1 : 4
(B) 4 : 5
(C) 2 : 3
(D) 2 : 5
(E) 1 : 3
12. Speed of train A is 3 times the speed of train B. Train A travels for 2 hours before taking a halt of 30 minutes and then travels for 1.5 hours to reach its destination. If train B halts thrice for 10 minutes each, how much total time will train B take to reach its destination from its origin ? (both train travels from station P to station Q).
(A) 6 hours 40 minutes
(B) 7 hours
(C) 5 hours 45 minutes
(D) 11 hours
(E) 7 hours 50 minutes
13. At present Annie is twice the age of Bina. The respective ratio between the age of Annie six years and that of Bina eight years hence will be 3 : 2. What is Trisha’s present age, if she is 4 years older to Bina? (in years)
(A) 16
(B) 12
(C) 10
(D) 18
(E) 14
14. A vessel contains a mixture of milk and water in the respective ratio of 5 : 3. 40 litre of the mixture is taken out and 4 litre of water is added to the vessel. If the resultant mixture contains 40% water, what was the original quantity of mixture in the vessel? (in litre)
(A) 119
(B) 153
(C) 144
(D) 167
(E) 136
15. The number of registered voters (male + female) who voted in an election was 6000. 70% of the registered male voters and 45% of registered female voters voted in the election. If the number of registered male voters is 2000 more than that of registered female voters. What is the number of registered voters (male + female)?
(A) 10000
(B) 12000
(C) 9000
(D) 15000
(E) 8000
16. A boat takes a total time of 6 hours 24 minutes to cover 60 kms upstream and 60 kms downstream. The sum of the speed of the boat and downstream and that upstream is 40 kmph. What was the speed of the stream?
(A) 2 kmph
(B) 2.5 kmph
(C) 5 kmph
(D) 4 kmph
(E) 3.5 kmph
17. A tank has 3 inlets, A, B and C. A and B together fill half of the tank in the same time that C alone takes to fill one-sixth of the tank. If three of them together can fill the empty tank completely in 9 hours, what is the time taken by C alone to fill the empty tank completely? (in hours)
(A) 42
(B) 30
(C) 24
(D) 48
(E) 36
18. In a business, A invests twice the amount invested by B and C invests 2/5th of the amount invested by A. The respective ratio of period of investment made by A, B and C was 2 : 4 : 3. If the after the end of the investment period the profit received by C was Rs 1,200, what was the total profit received?
(A) Rs 5,000
(B) Rs 6,400
(C) Rs 7,200
(D) Rs 4,000
(E) Rs 5,200
19. Hari sold his new bike at a discount of 28% and suffers a loss of 20%. Had the sold it at 6.4% discount, what per cent profit he would have made by selling the bike?
(A) 2%
(B) 8%
(C) 12%
(D) 10%
(E) 4%
20. 20 men can finish a project in 28 days, 32 women can finish it in 24 days and 16 children can finish it in 50 days. 12 women and 20 children started working and after 8 days they left. In how many days will 7 men complete the remaining project?
(A) 56
(B) 48
(C) 45
(D) 54
(E) 50
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