Dear Readers,
Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of quantitative aptitude for SBI PO Mains 2017.
Q1. A article is sold at 30% profit. Had it been sold at Rs. 155 more than previous selling price and the cost price were also increased by Rs. 100 then profit would have been 5% more. Then find the CP of the article.
(a)Rs. 500
(b)Rs. 400
(c)Rs. 460
(d)Rs. 480
Q2. An alloy of copper and aluminium has 40% copper. An alloy of copper and zinc has copper and zinc in the ratio 2 : 7. These two alloys are mixed in such way that in the overall alloy, there is more aluminum than zinc, and copper constitute X% of this alloy, what is the range of values x can take.
(a)20%≤X ≤40%
(b) 30% ≤ X ≤ 40%
(c) 32.5 < X ≤ 40%
(d) 33.33 ≤ X ≤ 40%
(e) None of these
Q3. Price of an article increases by 26%. A family though increases its expenditure by 10%, can purchase 8 kg less. What amount of article can be purchased at original price ?
(a) 65 kg
(b) 55 kg
(c) 63 kg
(d) 72 kg
(e) None of these
Q4. Mohit decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after t hour. After 30 km, there is some engine malfunction and the speed of the car becomes 4/5th of the original speed, so he travels the rest of the distance at 4/5th of the original speed and reaches Gurgaon 45 minutes late. Had the same thing happened after he travelled 48 km, he would have reached only 36 minutes late. What is the distance between Delhi and Gurguram?
(a)120 km
(b)90 km
(c)150 km
(d)75 km
(e) None of these
Q5. A group of people decided to cut 128 trees in a certain number of days. For the first 4 days, they were able to achieve their planned per day target. However for the remaining days the group was able to cut 4 more trees daily than planned. In this way, the group had cut 124 trees one day before the planned finish date. What was the number of trees the group was planning to cut per day ?
(a) 18
(b) 8
(c) 24
(d) 16
(e) None of these
Q6. 3 men and 7 women complete a work in 5 days while 12 children and 5 women can complete the same work in 5 days and 2 men and 7 children can complete the same work in 4 days. Same work will be completed by 1 men, 1 women and 1 children required days ?
(a) 10 days
(b) 11 days
(c) 12 days
(d) Can’t be determined
(e) None of these
Q7. On a certain sum of money, compound interest earned at the end of three years is Rs. 1456. Compound interest at the end of two years is Rs. 880. Calculate the principal.
(a)2000
(b)8000
(c)4000
(d)5000
(e) None of these
Q8. The ratio of a two digit natural number to a number formed by reversing its digit is 4:7. Which of the fallowing is the sum of all the numbers of all such pairs?
(a)120
(b)280
(c)330
(d)90
(e) None of these
Q9. In a race of 1 km A defeats B by 50 meter and B defeats C by 40 meter. In race of 2 km A defeats C by x meter. Value of x can be
(a) 200 meter
(b) 228 meter
(c) 176 meter
(d) 166 meter
(e) None of these
Q10. Rakesh deposits Rs. P with a bank at r% per annum Compound interest and sees it reach 16P in 8 years. If he had invested the same at r% simple interest for 8 years, what would have been the amount.
(a)between 2P and 2.5P
(b)between 2.5P and 3P
(c)between 3P and 3.5P
(d)between 3.5P and 4.5P
(e) None of these
Directions (Q.11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
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