FCI Assistant Grade-III (Pre.) Examination-2019 Held on 3-6-2019
Numerical Aptitude
1. The respective ratio between the perimeter of a square and the circumference of a circle is 5 : 11. The side of the square measures 4 cm less than the radius of the circle. What is the area of the square?
(A) 9 cm2
(B) 64 cm2
(C) 100 cm2
(D) 42.25 cm2
(E) 576 cm2
2. Amy, from her monthly salary, keeps aside 43% as household expenses and form the remaining invests 50% of the amount in saving schemes. She saves the remaining Rs 17100 as petty cash. What was Amy’s monthly salary? (In Rs)
(A) 1,20,000
(B) 80,000
(C) 60,000
(D) 70,000
(E) 90,000
3. The average of twelve observations is 15. The average of the first six and the last four observation is 8 and 22 respectively. Out of the remaining two observations, if one is 17, what is the other observation?
(A) 5
(B) 12
(C) 15
(D) 27
(E) 23
4. Find the speed of the train, if a train 142 m long passes 9 poles in 6 sec?
(A) 77.2 km/hr
(B) 79.6 km/hr
(C) 85.2 km/hr
(D) 79.2 km/hr
(E) 85 km/hr
Directions-(Q. 5-10) Refer to the graph and answer the given questions.
The following graph depicts the number of movies (Bollywood + Regional) released in six different single screen theatres (A, B, C, D, E and F) in State Mopa in year 2017
5. What is the difference between the number of movies released in theatres F and A?
(A) 40
(B) 90
(C) 30
(D) 80
(E) 60
6. What is the respective ratio between the total number of movies released in theatres D and E together and the number of movies released in theatre B?
(A) 8 : 7
(B) 10 : 3
(C) 10 : 9
(D) 10 : 7
(E) 9 : 7
7. Total number of regional movies released in theatres A and B together was 126 less than total number of Bollywood movies released in both the theatres together. What is the total number of regional movies released in theatres A and B together?
(A) 61
(B) 57
(C) 67
(D) 63
(E) 69
8. What is the average number of movies released in theatres B, C and F?
(A) 92
(B) 88
(C) 118
(D) 108
(E) 106
9. Number of movies released in theatre D is approximately what per cent of that released in theatre C?
(A) 67
(B) 72
(C) 61
(D) 77
(E) 50
10. Out of the number of movies (Bollywood + Regional) released in year 2018, the number of Bollywood movies released in theatre E was 111, which was 48% more than that released in theatre E in year 2017. How many regional movies were released in 2017 in theatre E?
(A) None of these given as options
(B) 40
(C) 75
(D) 35
(E) 45
11. Noori bought A TV (on a discount of 20% of MRP) and subsequently sold it at Rs X earning 2% profit. If Noori earned a profit of Rs 4000, what was the MRP of the TV? (In Rs)
(A) 20000
(B) 25000
(C) 7200
(D) 11000
(E) 10000
12. 20% of total number of students in Arts and Science are females. If there are total 4800 males who pursue Arts and Science in the college, what was the number of students (male + female) pursuing Arts and Science in the College?
(A) 6000
(B) 12000
(C) 7500
(D) 10000
(E) 8000
13. The difference between the amounts accrued on Rs P, when it is invested @ 6% p.a. simple interest (for 2 years) and on Rs (P + 500) when it is invested @ 10% p.a. simple interest (for 2 years) is Rs 760. What will be the interest earned on Rs (P + 1000) when invested @ 5% p.a. simple interest for 1 year? (in Rs)
(A) 200
(B) 100
(C) 300
(D) 400
(E) 150
14. A jar contains 240 It. Mixture of milk and water, in which water constitutes 25% of the mixture. Certain quantity (x) of mixture was taken out. The difference between the quantities of milk and water in the remaining mixture in the jar is 100 lt. What is the value of x ? (in lt).
(A) 20
(B) 40
(C) 60
(D) 80
(E) 50
15. The difference between speed of a boat downstream and the speed of a boat upstream is 6 km ph. If the speed of the boat (in still water) is 21 kmph, how much time will the boat take to travel 48 km downstream?
(A) 1 hour
(B) 30 minutes
(C) 2 hours
(D) 3 hours
(E) 1 hour 30 minutes
Directions-(Q. 16-20) In this question, a number series is given in which one number is wrong. Find out the wrong number.
16. 60 66 54 72 48 76 42
(A) 48
(B) 72
(C) 76
(D) 66
(E) 54
17. 125 135 152 178 212 265
(A) 135
(B) 212
(C) 152
(D) 125
(E) 178
18. 1 0.5 2 8 64 1024
(A) 8
(B) 1024
(C) 2
(D) 64
(E) 0.5
19. 13 20 31 44 61 81
(A) 31
(B) 20
(C) 44
(D) 61
(E) 81
20. 150 148.9 151.1 147.8 152.2 145.7 153.3
(A) 147.8
(B) 148.9
(C) 152.2
(D) 151.1
(E) 145.7
Directions-(Q. 21-32) What will come in place of question-mark (?) in the given question.
21. ½ of (272 + 132) = 139 + ?
(A) 390
(B) 310
(C) 210
(D) 290
(E) 410
22. 348.24 + 142.16 = ? – 359.6
(A) 800
(B) 650
(C) 700
(D) 750
(E) 850
23. 72 ÷ ?3 ÷ 32 × 12 = 1
(A) −3
(B) 1
(C) −2
(D) 2
(E) 3
24. 
(A) 
(B) 
(C) 
(D) 
(E) 
25. 
(A) 6
(B) 7
(C) 2
(D) 10
(E) 5
26. 70% of 72 + 25% of 48 = ?
(A) 68.2
(B) 62.4
(C) 48.6
(D) 42.4
(E) 64.6
27. 1640 − ? = 1900 – 400
(A) 180
(B) 100
(C) 120
(D) 140
(E) 160
28. 75% of 400 ÷26 × 520 = 6 × 10?
(A) 5
(B) 3
(C) 8
(D) 6
(E) 2
29. 
(A) 4
(B) 3
(C) 6
(D) 9
(E) 2
30. 
(A) 144
(B) 174
(C) 124
(D) 186
(E) 154
31. ?% of (12.25 + 17.15 + 30.6) = 48
(A) 70
(B) 60
(C) 75
(D) 80
(E) 90
32. 
(A) 5/2
(B) 4
(C) 3/2
(D) 1/2
(E) 2
33. 60% of a positive integer (x) is equal to 40% of another positive integer (y). The sum of both the numbers (x and y) is more than the difference of both the numbers, by 20, what is the value of x?
(A) 6
(B) 10
(C) 8
(D) 20
(E) 15
34. The compound interest earned from Rs 4000 invested for 2 years @ 20% p.a. (compounded annually), is half of the simple interest earned from Rs x invested @ 5% p.a. for 2 years. What is the value of x?
(A) 36000
(B) 45000
(C) 35200
(D) 30000
(E) 48000
35. A and B start a business with Rs x and Rs 600 respectively. Six months after the start of the business C joined with Rs 900. If from the total annual profit of Rs 10000. A received Rs 1600 as his profit share, what was the total sum invested by A, B and C in business ? (in Rs)
(A) None of those given as options
(B) 1800
(C) 1700
(D) Cannot be determined
(E) 1600
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