Quant Test of the Week for SBI PO

As we all know SBI PO is here and we are ready with the 80 days plan in which we provide you daily quizzes on new pattern questions with different topics that will help you to go through this exam.
So, here we are with the Most important questions of  Ratio and Proportion/ Percentage/ Average/ Iequalities.

Directions (1-2): Babu’s expense out of his total expenditure in a trip is in between travel expenses, Accommodation expenses and shopping expenses are in the ratio of 9 : 5 : 7. Out of the travel expenses Babu spent 30(1/9)% on bus tickets, 62(1/9)% on air tickets and remaining travel expenses are saved. All of the accommodation expenses  are spent on hotels. And out of the total expenses on shopping expenses 42(4/7)% spent on tax free products, 47(2/7)% spent on clothes shopping and remaining are saved. The total amount saved is 141000. 

Q1. From the above information, what is the total amount on accommodation expense?
(a)Rs 500000
(b)Rs 662000
(c)Rs 271000
(d)Rs 298000
(e)none of these

Q2. Babu’s total amount on the trip is. 
(e)none of these

Directions (3-4): In a bag there are four types of colored balls of red, Blue, Yellow and white color. The probability of selecting one Blue ball out of total ball is 1/3 and the probability of selecting one red ball out of total ball is 1/9 .Number of yellow and white colored balls together are 10.
Q3. What is the probability of selecting two yellow balls at random out of total balls, if the no. of white colored balls are 50% more than the no. of yellow colored balls
(a) 1/51
(b) 2/51
(c) 1/17
(d) 2/17 
(e) None of these

Q4. What are the total no. of balls in the bag.
(a) 9
(b) 27
(c) 36
(d) 54
(e) None of these

Q5. Speed of boat in still work is 1 (1/3) time than the speed of current. If the difference between distance covered by boat in 4 hrs upstream and 3 hours downstream is 34 km.
Quantity I Speed of boat in still water
Quantity II – Average speed of car which covers some distance at a speed of 80 km/hr. and return to the starting point at a speed of 100 km/hr.
(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q6. Given PQRS is square. A circle is inscribed in the square. AB is the diameter of the circle and C is the midpoint of PQ. Given PQ = 8 m

Quantity I → Area of Triangle ABC.
Quantity II → Area of the shaded region.
(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q7. The ratio between the number of passengers travelling by I and II classes between the two railway stations is 1 : 50, whereas the ratio of 1 and II classes fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?
(a) Rs. 750
(b) Rs. 1000
(c) Rs. 850 
(d) Rs. 1250
(e) none of these

Q8. To win an election, a candidate needs three-fourths of the votes cast. If, after two-thirds of the votes have been counted, a candidates has five-sixths of what he needs, then what part of the remaining ratio does he still need? 
(a) One-eighth 
(b) One-tenth 
(c) One-fourth 
(d) Three-eights 
(e) none of these

Q9. The average weight of 45 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight in 54 kg join the class. What is the new average weight (in kg) of the class?
(a) 52.6
(b) 52 (2/3)
(c) 52 (1/3)
(d) 54 (1/3)
(e) none of these

Q10. A liker walked for two days. On the second day, the hiker walked 2 hrs longer and at an average speed of 1 Km per hour faster than he walked on the first day. If during the two days he walked a total of 64 Km and spent a total of 18 hrs walking, what was his average speed on the first day? 
(a) 2 Km/h 
(b) 3 Km/h
(c) 4 Km/h
(d) 5 Km/h 
(e) none of these

Q11. The average marks of a student in 8 subjects is 87. Of these, the highest marks is 2 more than the next in value. If these two subjects are eliminated, the average marks of the remaining subjects’ is 85. What is the highest score?
(a) 91
(b) 94
(c) 89 
(d) 96
(e) none of these

Q12. In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% of male employees earn less than Rs. 8,000 per month. What is the percentage of employees who earn more than Rs. 8,000 per month? 
(a) 30%
(b) 23%
(c) 60%
(d) Cannot be determined 
(e) none of these

Q13. A house-owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2 kg cans, what would be the cost of paint purchased, if one can costs Rs. 16? 
(a) Rs. 240 
(b) Rs. 180 
(c) Rs. 160 
(d) Rs. 360 
(e) none of these

Q14. Of the 50 researchers in a workgroup, 40% will be assigned to team A and the remaining 60% to team B. However, 70% of the researchers prefer team A and 30% prefer team B. What is the least possible number of researchers who will not be assigned to the team they prefer? 
(a) 15
(b) 20
(c) 35
(d) 30
(e) none of these

Q15. In a school, 60% of the students of Class X were boys. 75% of the boys passed the Class X exams. 40% of the passed boys got first division. 80% of the total students passed the exam and 50% of the passed students got first division. Which of the following conclusion is not correct? 
(a) 75% of the failed students are boys. 
(b) 55% of the first-divisioners are girls. 
(c) Number of passed girls is more than that of the boys. 
(d) If x students failed, 2x got first division.
(e) All are true.


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