Quantitative Aptitude Quiz for IBPS 2020 Mains Exams- 24th December

Table of Contents

Q1. Train A, travelling at 84 kmph, overtook train B, traveling in the same direction, in 10 seconds. If train B had been traveling at twice its speed, then train A would have taken 22.5 seconds to overtake it. Find the length of train B, given that it is half the length of train A.
(a) 50 m
(b) 100 m
(c) 200 m
(d) 150 m
(e) 180m

Q2. Two places Chandil and Ichagarh are 300 km apart. A river flows at a speed of 5km/hr from chandil to ichagarh. Lakshya and Rupu started from chandil and ichagarh towards each other and their speed is 25 km/h and 15km/hr respectively in still water. After how much time will they meet for second time if Lakshya returned back to chandil immediately after reaching Ichagarh, from the time when they both started their jourrney?
(a) 25 h
(b) 27 h
(c) 29 h
(d) 20 h
(e) 24 h

Q3. To make an article, it takes 40 hour for a workman who is paid Rs 1.80 per hour. 20% of the material is wasted in the course of working, which costs Rs 22.5 per kilogram. At what price must the article be sold so as to yield a profit of 33.33%, if its weight was measured to be 8 kg?
(a) Rs 360
(b) Rs 404
(c) Rs 396
(d) Rs. 385
(e) Rs. 420

Q4. A can do a piece of work in 120 days and B can do it in 150 days. They work together for 20 days. Then A leaves and B continues the work. 12 days after that, C joins the work and the work is completed in 48 more days. In how many days C can do it alone?
(a) 225
(b) 220
(c) 230
(d) 240
(e) 160

Q5. A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
(a) 3.46%
(b) 4.5%
(c) 5%
(d) 7%
(e) 9.25%

Directions (6-10): Table given below shows five different mobile phones sold in Amazon sale, percentage of total 32 GB mobile phone sold, percentage of total 64 GB sold mobile which returned out of total sold 64 GB mobile phone, also total returned mobile phone out of total sold mobile Phones. Read data carefully and answer the questions:

Q7. Ratio between total returned mobile Phone of ‘B’ to total returned ‘D’ is 8 : 7. If total number of 32 GB sold mobile of ‘B’ is 1950 more than total number of total 32 GB sold mobile of ‘D’ and total 64 GB returned mobile of ‘D’ is 600 less than that of ‘B’. Find difference between total 64GB returned mobile phone of ‘D’ and total sold 32 GB mobile phone sold of ‘D’?
(a) 1800
(b) 1600
(c) 1400
(d) 1200
(e) 1000

Q8. Total number of phone ‘A’ & ‘E’ sold is 8800. If total phone ‘E’ sold is 20% more than total phone ‘A’ sold and out of total sold ‘E’ phones 15% phone returned. Find ratio between total returned 32 GB mobile phone of ‘E’ to total returned 64 GB mobile phone of ‘A’?
(a) 8 : 5
(b) 102 : 65
(c) 108 : 65
(d) 100 : 67
(e) 110 : 67

Q9. Total number of phone ‘A’, ‘C’ and ‘E’ sold is 14400 and ratio of total sold mobile phones of ‘A’, ‘C’ and ‘E’ is 5 : 7 : 6 respectively. If out of total sold mobile phone of ‘B’ and ‘E’, 18% and 15% phone returned respectively, then find the total number of returned mobiles phones in this sale?
(a) 6684
(b) 6384
(c) 6680
(d) 6844
(e) 6840

Q10. If total number of returned phones of ‘D’ is 1365 more than total returned phone of ‘A’ then find total number of mobile phones that are not returned of both brands?
(a) 10265
(b) 10255
(c) 10250
(d) 10260
(e) 10200

Directions (11-15): Solve the given quadratic equations and mark the correct option based on your answer—
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.