United India Insurance Co. Ltd. (AO) Examination
Held on 12-6-2016
Quantitative Aptitude
Directions-(Q. 1 to 5) Refer to the graph and answer the given questions.
1. Expenditure of company B in 2009 and 2010 are Rs 12 lakhs and Rs 14.5 lakhs respectively. What was the total income of company B in 2009 and 2010 together (in lakh rupees)
(A) 39.75
(B) 37.95
(C) 38.75
(D) 38.55
(E) None of these
2. Ratio of expenditure of company A and B in 2012 was 3 : 4 respectively. What was the respective ratio of their incomes in 2012 ?
(A) 21 : 26
(B) 13 : 14
(C) 14 : 13
(D) 26 : 21
(E) None of these
3. Total expenditure of company A in all the years together was 82.5 lakhs. What was the total income of the company A in all the years together ?
(A) Rs 1.23 crores
(B) Rs 98.75 crores
(C) Rs 99.85 crores
(D) Cannot be determined
(E) None of these
4. If the expenditure of company A and B in 2013 were equal and the total incomes of the two companies was Rs 5.7 lakhs. What was the total expenditure of the two companies in 2013 ?
(A) 4 lakh
(B) 2 lakhs
(C) 4.2 lakhs
(D) Cannot be determined
(E) None of these
5. If the income of company B in 2010 and 2011 were in ratio of 2 : 3 respectively. What was the respective ratio of expenditure of that company in these two years ?
(A) 20 : 29
(B) 9 : 10
(C) 29 : 45
(D) 10 : 29
(E) None of these
6. 258 130 66 34 18 ?
(A) 12
(B) 10
(C) 4
(D) 6
(E) 9
7. 1 3 9 31 ? 651
(A) 177
(B) 184
(C) 196
(D) 129
(E) 258
8. 84 86 81 91 74 ?
(A) 166
(B) 100
(C) 148
(D) 158
(E) 187
9. 17 9 10 5 35 ?
(A) 90
(B) 50
(C) 60
(D) 80
(E) 70
10. 420 84 21 7 ? 5
(A) 3.5
(B) 6
(C) 3
(D) 4
(E) 2.5
11. 180 179 172 153 116 ?
(A) 59
(B) 45
(C) 55
(D) 64
(E) 62
Directions-(Q. 12 to 14) In each of these questions, two equations are given. You have to solve these equations and find out the values of x and y and give answer :
(A) if x < y
(B) if x > y
(C) if x ≤ y
(D) if x ≥ y
(E) x = y or if the relationship cannot be established
12. I. 3x2 + 8x + 4 = 0
II. 2y2 + 11y + 14 = 0
13. I. 3x2 + 11x + 10 = 0
II. 5y2 + 17y + 14 = 0
14. I. x2 – 12x + 36 = 0
II. y2 – 11y + 24 = 0
15. A can finish a piece of work in 24 days. B is 20% more efficient than A. C is 25% more than B. In how many days B and C together can finish the same piece of work ?
(A) 
(B) 
(C) 
(D) 
(E) 
16. Monthly salaries of Pia and Som are in the respective ratio of 5 : 4. Pia, from her monthly salary, gives 3/5th to her mother. 15% towards her sister’s tution fees, 18% towards a loan and she shops with the remaining amount which was Rs 2,100. What is the monthly salary of Som ?
(A) Rs 25,000
(B) Rs 30,000
(C) Rs 15,000
(D) Rs 20,000
(E) Rs 24,000
Directions- (Q. 17-21) Refer to the pie charts carefully and answer the given questions.
17. Number of cellular phones (both Nokia and Samsung) sold by store B is what per cent more than the number of Nokia cellular phones sold by store A ?
(A) 
(B) 
(C) 
(D) 
(E) 
18. What is the central angle corresponding to number of cellular phones (both Nokia and Samsung) sold by store D ?
(A) 124.2°
(B) 112.4°
(C) 115.2°
(D) 128.8°
(E) 118.8°
19. What is the average number of Samsung cellular phones sold by stores B, C and D ?
(A) 796
(B) 792
(C) 780
(D) 812
(E) 784
20. What is the difference between number of cellular phones (both Nokia and Samsung) sold by store A and Total number of Nokia cellular phones sold by stores B and E together ?
(A) 442
(B) 436
(C) 432
(D) 428
(E) 426
21. Number of Samsung cellular phones sold by store E is what per cent of the number of phones (both Nokia and Samsung) sold by store C ?
(A) 55
(B) 45
(C) 60
(D) 65
(E) 50
22. There are three positive numbers, 1/3rd of average of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8. Which is the highest number ?
(A) 11
(B) 14
(C) 10
(D) 9
(E) 13
23. In school ‘ABC’, the respective ratio between the number of students in class 8, class 9 and class 10 in the year 2013, was 4 : 5 : 6. If in 2014, the number of students in class 8 and class 9 increased by 10% and 20% respectively and the number of students in class 10 decreased by 20%, what was the respective ratio between the number of students in class 8, class 9 and class 10 in 2014 ?
(A) 11 : 15 : 12
(B) 10 : 11 : 12
(C) 14 : 15 : 11
(D) 11 : 13 : 12
(E) 12 : 17 : 12
24. If the length of a rectangle is increased by 15% and the breadth is decreased by 12%, what is the percentage change in the area of the rectangle ?
(A) 2.4% decrease
(B) 1.2% increase
(C) 1.8% decrease
(D) 1.2 decrease
(E) 1.78% decrease
25. The average age of 8 men is increased by 2 years when two them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women ?
(A) 30 years
(B) 32 years
(C) 34 years
(D) 36 years
(E) None of these
Directions-(Q. 26 to 30) Read the table and answer the given questions :
26. What is t he difference between the total number of cars manufactured in countries A and B together and the total number of cars manufactured in countries C and D together ?
(A) 10000
(B) 12000
(C) 15000
(D) 6000
(E) 10500
27. Total number of cars sold in countries A and B together from what per cent of the total cars manufactured by in all the countries together in that particular quarter ?
(A) 30
(B) 35
(C) 40
(D) 32
(E) 38
28. What is the total number of cars which remained unsold in the given quarter in the countries C and E together ?
(A) 2400
(B) 3400
(C) 3650
(D) 3800
(E) 3600
29. What is the respective ratio between Sales (in rupees) of the total number of cars sold in country D and the sales (in rupees) of the total number of cars sold in country E ?
(A) 55 : 47
(B) 52 : 47
(C) 53 : 44
(D) 55 : 42
(E) 52 : 45
30. If the cost for manufacturing a car in country C is Rs 4,50,000, what is the per cent profit earned by the company, on which car sold, in the same country ?
(A) 
(B) 
(C) 
(D) 
(E) 
31. Shindey had a sum of money which he decided to be distributed among his wife, his one son and one daughter. He gave 25% of the total money to his wife and the remaining amount he distributed in the respective ratio of 2 : 3 among his son and daughter. If his daughter got Rs 24,300, how much money did Mr. Shindey have ?
(A) Rs 54,000
(B) Rs 64,000
(C) Rs 48,000
(D) Rs 40,000
(E) Rs 60,000
32. Rs 6100 was partly invested in Scheme A at 10% p.a. compound interest (compounded annually) for 2 years and partly in Scheme B at 10% p.a. simple interest for 4 Both the schemes earn equal interests. How much was invested in Scheme A ?
(A) Rs 3,750
(B) Rs 4,500
(C) Rs 4,000
(D) Rs 3,250
(E) Rs 5,000
Directions-(Q. 33 to 37) What approximate value will come in place of question mark in the given questions ? (You are not expected to calculate the exact value.)
33. 5003 ×96 ÷ 25.12 + ? = 122 × 52
(A) 600
(B) 1200
(C) 800
(D) 1000
(E) 900
34. 952 × 5.05 + 15.012 × 2.99 = ?
(A) 1500
(B) 2150
(C) 1395
(D) 1180
(E) 1084
35. 952 – 12.052 + (1987.25 + 21.85) ÷ ? = 900
(A) 115
(B) 120
(C) 90
(D) 85
(E) 100
36. 
(A) 27
(B) 48
(C) 58
(D) 40
(E) 32
37. 99 ÷ 9.85 + 54.94% of 271 = ?
(A) 800
(B) 300
(C) 700
(D) 500
(E) 400
38. Jar A and Jar B both contains mixture of milk and water. jar A has 80 litres of mixture out of which 20% is water. The mixture in Jar B has 40% of water. The mixture from both the jars is poured in an empty jar C. The resultant respective ratio between milk and water in the jar C is 5 : 2. What is the quantity of milk in jar C ? (in litres)
(A) 105
(B) 120
(C) 110
(D) 100
(E) 130
39. The sum of present ages of a father and his son is 8 years more than the present age of the mother. The mother is 22 years older to the son, what will be the age of the father after 4 years ?
(A) 34 years
(B) 36 years
(C) 40 years
(D) 38 years
(E) 28 years
40. A boat can travel 36 km upstream in 5 hours. If the speed of the stream is 2.4 kmph, how much time will the boat take to cover a distance of 78 km downstream ? (in hours)
(A) 5
(B) 6.5
(C) 5.5
(D) 8
(E) 6
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