IBPS PO Mains Quant 06/11/2018




Directions (1-5): The following pie-chart shows the degree wise distribution of backpacks sold by various companies in the month of October, 2018 and an absolute value is also given. The table shows the percentage of different sizes of sold backpacks in which some data are missing. 

Study the graph carefully to answer the related question. Calculate the missing data if necessary.

              

Note: Rest backpacks are of size 28 cm, only 3 size of backpacks are present.

Q1. Total number of Skybags of size 28 cm is what percent more or less than the total number of Safari backpacks of same size sold in the given month. (it is given that Safari backpacks of size 28 cm are 25% of 20 cm size backpacks of same company)
20% less
20% more
25% more
25% less
30% more
Solution:

Q2. What is the ratio of fastrack backpacks and HRX backpacks of size 20 cm together to the total number of Safari and Reebok backpacks together of same size. (number of Reebok backpacks of 20 cm size are 20/3% of total backpacks of all companies) ?
221 : 200
200 : 221
100 : 121
121 : 100
99 : 200
Solution:

Q3. What is the difference between Skybag backpacks of size 20 cm and 28 cm together and HRX backpacks of size 20 cm and 28 cm together ? (HRX backpacks of 24 cm size are 100% more than that of 28 cm size of same company)
4900
5900
9600
6900
7900
Solution:

Q4. If price of one backpack of Reebok of size 24 cm is Rs. 3200 and ratio of price of each Reebok backpacks of size 20 cm, 24 cm and 28 cm is 6 : 8 : 9 respectively, then what is the total price of 20 cm and 28 cm backpacks of same companies ? (Ratio of number of backpacks of given size 20 cm, 24 cm and 28 cm of Reebok are 5 : 4 : 1 respectively)
2.87 crore
18.72 crore
1.872 crore
can’t be determined
0.872 crore
Solution:

Q5. If average number of backpacks of Skybag, Reebok and Safari of size 20 cm is 10,400 then what is the total number of backpacks of Reebok of size 20 cm sold in the given month?
6000
8000
5500
6500
7000
Solution:

Q6. The daily work of 2 women is equal to that of 3 men or that of 4 children. By employing 14 women, 12 men, and 12 children a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only women are available, how many of them will be required?
18
20
48
28
24
Solution:
Hence
2W = 3M = 4C
∴ (14W + 12M + 12C) = 14 + 8 + 6 = 28 Women
Total Unit of work = 28 × 24
∴ 28 × 24 = x ×14
x=48
Total no. of women required for additional labour = 48 – 28 = 20 women

Q7. Equal amounts of each Rs. 43,892 is lend to two persons for 3 years. One at the rate of 30% S.I. and second at the rate of 30% C.I. annually. By how much percent the C.I. is greater than the simple interest received in this 3 years duration?
33%
36%
39%
30%
43%
Solution:

Q8. Mr. Giridhar spends 50% of his monthly income on household items and out of the remaining he spends 50% on transport, 25% on entertainment, 10% on sports and remaining amount of Rs. 900 is saved. What is Mr. Giridhar’s monthly income?
Rs. 6000
Rs. 12000
Rs. 9000
Can't be determined
None of these
Solution:

Q9. A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. The cost price for the manufacturer is
Rs. 16
Rs. 20
Rs. 17
Rs. 24
None of these
Solution:

Q10. HB produces very fine quality of sketching pencils. Company knows that on an average 10% of the produced pencils are always defective so are rejected before packing. Company promises to deliver 7200 pencils to its wholesaler at Rs. 10 each. It estimates the overall profit on all the manufactured pencils to be 25%. What is the manufacturing cost of each pencil?
Rs. 6
Rs. 7.2
Rs. 5.6
Rs. 8
Rs. 9.6
Solution:

Direction (11-15): What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 

Q11. 
489
222
456
312
266
Solution:

Q12. ? = (351.82 × 252.08) ÷ (615.52 × 36.12) × 42.19% of (39.83 × 30.23)
3012
2016
1582
4026
4580
Solution:
? = (351.82 × 252.08) ÷ (615.52 × 36.12) × 42.19% of (39.83 × 30.23)
? ≈ (352 × 252) ÷ (616 × 36) × 42% of (40 × 30)
? ≈ (16 × 11 × 2 × 7 × 6 × 6) ÷ (2 × 2 × 22 × 7 × 6 × 6) × 42% of 1200
? ≈ 4 × 504 ? ≈ 2016

Q13. ? = (74.98% of 27.95% of (200.4 × 34.94)) ÷ 48.96
30
70
100
120
150
Solution:
? = (74.98% of 27.95% of (200.4 × 34.94)) ÷ 48.96
? ≈ (75% of 28% of (200 × 35)) ÷ 49
? ≈ (75% of 28% of 7000) ÷ 49
? ≈ (0.75 × 0.28 × 7000) ÷ 49
? ≈ 30

Q14. 32.99% of 1428.07 + 93.001% of 1240 – 78.10% of 3456 = ?
– 4460
– 1073
– 9460
– 2564
– 6562
Solution:
32.99% of 1428 + 93.001% of 1240 – 78.10% of 3456
≈ 33% of 1428 + 93% of 1240 – 78% of 3456
≈ 471 + 1153 – 2697
≈ – 1073

Q15. 40.929% of 2197.85 + 100.01% of 8912.95 – 18.213% of 9782.15 = ?
8043
8053
8163
8253
8063
Solution:
≈ 41% of 2198 + 100% of 8913 – 18% of 9782
≈ 901 + 8913 – 1761
≈ 8053
               

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