Quantitative Aptitude Problems for IBPS Clerk (Set - 4)

Quantitative Aptitude Problems for IBPS Clerk (Set - 4)
Directions (1 – 5): Study the following table carefully to answer the questions that follow—
 Years State Karnataka Bihar Gujarat Nagaland Maharashtra Haryana 1960 125 210 85 150 98 138 1970 135 225 89 170 110 152 1980 142 240 93 180 130 160 1990 148 250 99 215 140 175 2000 155 270 105 230 145 190 2010 160 290 110 240 160 198

1. Approximately what is the per cent rise in population of Gujarat in 2010 from 1970?
a) 34
b) 40
c) 29
d) 17
e) 24
2. What was the average population of all the states together in 1980?
a) 157500
b) 150800
c) 161400
d) 155900
e) 152700
3. Population of the Gujarat in 1990 is approximately what per cent of the total population of all states together in the year?
a) 15
b) 19
c) 10
d) 14
e) 17
4. What is the average population of Nagaland for all the years together?
a) 201700
b) 197500
c) 195100
d) 181300
e) 178600
5. Which state had the highest per cent rise in population from 1990 to 2000?
a) Gujarat
b) Bihar
c) Nagaland
d) Haryana
e) Karnataka
Directions (6 – 10): Answer the questions based upon the information given in the figure and table.
 Store Ratio of Fiction : Non – Fiction : GK Books A 11 : 05 : 04 B 03 : 07 : 05 C 15 : 08 : 07 D 07 : 06 : 02 E 09 : 08 : 10
6. The difference between the number of Fiction and GK Books sold by Store A, B and D together and the number of Non-fiction and GK books sold by Stores C and E is what percentage of the total number of Non-fiction and GK books sold by Stores C and E?
a) 50%
b) 55%
c) 58%
d) 60%
e) 65%
7. Average number of Fiction and GK Books sold by Store A, B and D together constitutes what percentage of the total number of books sold by Stores C, D and E?
a) 27.65%
b) 26.67%
c) 26.16%
d) 25.67%
e) 25.16%
8. How many stores sold more than 5000 copies of nonfiction?
a) 3
b) 2
c) 4
d) 1
e) None
9. If each Fiction costs 15.50 rupees and GK costs 12.50 rupees, what is the cost of each Non-fiction book provided that the total business of C is Rs.120,360.
a) 12
b) 13
c) 10
d) 11
e) 9
10. What will be the total business of store C if the price of fiction and Non-fiction is increased by 10% and that of GK is changed?
a) 129,814.75
b) 134,977.25
c) 124,225.50
d) 140,550.25
e) 150,515.50
Solutions:
1. E) Required rise % = (110 – 89)/89 × 100 = 23.59% ≈ 24%
2. A) Average population = (142 + 240 + 93 + 180 + 130 + 160)/6 = 945/6 = 157500
3. C) Required % = 99 × 100/1027 = 9.64% 10%
4. B) Average population = (150 + 170 + 180 + 215 + 230 + 240)/6 = 1185000/6 = 197500
5. D) For Karnataka% rise = (155 148)/148 × 100 = 4.73%
For Bihar% rise = (270 250)/250 × 100% = 8%
For Gujarat% rise = (105 99)/99 × 100% = 6.06%
For Nagaland% rise = (230 215)/215 × 100% = 6.98%
For Maharashtra% rise = (145 140)/140 × 100% = 3.57%
For Haryana% rise = (190 175)/175 × 100% = 8.57%
State for highest % rise = Haryana.
6. A) Total no. of Non-fiction and GK books sold by Store C
= 88500 × 20/100 × 15/30 = 8850 …. (i)
Total no. of Non-fiction and GK books sold by Store E
= 88500 × 25/100 = 14750 …… (ii)
Total no. of Non-fiction and GK books sold by Store C and Store E
= 8850 + 14750 = 23600
Number of Fiction and GK books sold by Store
A = 17700 × 15/20 = 13275
B = 26550 × 8/15 = 14160
D = 13275 × 9/15 = 7965
Therefore total = 13725 + 14160 + 7965 = 35400 …. (a)
Difference between the number of Fiction and GK Books sold by Store A, B and D together and number of Non-Fiction and GK books sold by stores C and E
= 35400 – 23600 = 11800 …… (b)
Therefore, required percentage = b/a × 100 = 11800/23600 × 100 = 50%
7. B) Average number of Fiction and GK Books sold by Store A, B and D together
= Total/3 = 35400/3 = 11800
Total number of books sold by Stores C, D and E = 10% + 15% + 25% of total sales
= 50% of 88500 = 44250
Required percentage = 11800/44250 × 100 = 26.67%
8. A) Non-fiction sold by A = 5/20 × 20% of 88500 = (5 × 20 × 88500)/(20 × 100) = 4425
Similarly for B = 12390; C = 2360; D = 5310; E = 6556 (approx)
Therefore required answer is B, D and E i.e 3 stores
9. D) Total business of C = Rs.120360
Total number of books sold by Store C = 10% of 88500 = 8850
Number of Fiction = 15/30 × 8850 = 4425
Total cost = 445 × Rs.15.50 = Rs.68587.50 …. (i)
Number of Non-fiction = 8/30 × 8850 = 2360
Total cost = Unknown ….. (ii)
Number of GK books = 7/30 × 8850 = 2065
Total cost = 2065 × Rs.12.50 = Rs.25812.50 …. (iii)
Total cost of non-fiction = Total business – (i) – (iii)
= Rs.120360 – Rs.68587.50 – Rs.25812.50 = Rs.25960
Price per copy = Total cost of non-fiction/Number of non-fiction = 25960/2360 = Rs.11
10. A) Price of Fiction and Non-fiction is increased by 10%.
Now, Fiction will cost Rs.17.05, Non-fiction Rs.12.1, and GK Rs.12.50 (Unchanged).
Total business of C will be equal to
(4425 × 17.05 + 2360 × 12.1 + 2065 × 12.5) = Rs. 129814.75.