Mixed Quantitative Aptitude Questions Set 37

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

1. A boy and a girl together fill a cistern with water. The boy pors 4 litres of water every 3 minutes and the girl pours 3 litres every 4 minutes. How much time  will it take to fill 100 litres of water  in the cistern?
   A) 50min.
   B) 60min.
   C) 45min.
   D) 48min.
   E) 55min.
   
   View Answer

     Option D
   Solution:
   Water filled by the boy and the girl in 1min. = (4/3)+(3/4) = (16+9)/12 = 25/12 litres
   Time taken to fill 100 litres = (100*12)/25 = 48min.
   
2. In an alloy, zinc and copper are in the ratio 1:2.In the second alloy, the same elements are in the ratio 2:3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5:8, in  what  ratio of these two alloys in the new alloys?
   A) 2:15
   B) 3:10
   C) 3:7
   D) 4:9
   E) 2:4
   
   View Answer

     Option B
   Solution:
   Qty. of zinc in both the alloys ,
   A—————B
   (1/3)————(2/5)
   ———-(5/13)
   (1/65)————-(2/39)
   Required ratio = 3 : 10
   
   
   
3. In a test consisting 80 questions carrying one mark each, Rama answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she
   need to answer correctly to score 75% on the entire test?
   A) 70%
   B) 115%
   C) 85%
   D)100%
   E) 92%
   
   View Answer

     Option C
   Solution:
   (x/100)*40 + (65/100)*40 = (75/100)*80
   => x= 85%
   
4. In a certain year, the average monthly income of a person was Rs. 18,000. For the first 8 months of the year, his monthly income was Rs. 22,000 and for the last 5 months, it was Rs.25,000. What is the income in  the 8^th month of the year?
   A) 17000
   B) 20000
   C)15000
   D)10000
   E) 85000
   
   View Answer

     Option E
   Solution:
   Person’s income in the 8^th month
   = (8*22000 + 5*25000 -12*18000)
   =  85000
   
   
5. Roma goes to a shop to buy a LCD Rs.2568. The rate of sales tax is 7%. He tells the shopkeeper to reduce the price of the LCD to such an extent that she has to pay Rs.2568, inclusive of sales tax. Find the reduction required in the price of the LCD.
   A) Rs.168
   B) Rs.180
   C) Rs.150
   D) Rs.252
   E) Rs.200
   
   View Answer

     Option A
   Solution:
   Let the reduced price of the LCD be Rs.x
   Therfore ,
   x + 7% of x = 2568
   => x + (7x/100) = 2568
   => x = 2400
   Reduction required in the price of LCD = 2568 – 2400 = Rs. 168
   
6. The respective ratio between the total number of students studying in College A and College B is 5:8 . In College B, out of the total number of students, (5/8)th are boys, out of which 60% study Commerce and the remaining 800 boys study in other streams. What is the total number of students in College A?
   A) 2400
   B) 3000
   C) 3500
   D) 2500
   E) 2000
   
   View Answer

     Option E
   Solution:
   Total number of students in College A and College B be 5x and 8x resp.
   In college B , Boys = (5/8)*8x = 5x
   Boys who study commerce = (5x*60)/100 = 3x
   Boys in other streams = 5x – 3x = 2x
   Therefore , 2x = 2 *800 = 400
   Total number  of students in college A = 5x = 5*400 = 2000
7. In a market research project 20% opted for Tide detergent whereas 60% opted for Surf Blue detergent. The rest were unsure. If the difference between those who opted for Surf Blue and those who were uncertain is 720. How many respondents were covered in the survey?
   A) 2400
   B) 2000
   C) 1800
   D) 1500
   E) 2100
   
   View Answer

     Option C
   Solution:
   Unsure persons = (100 -60-20)% = 20%
   If the number of persons included in the survey be x , then
   x* (60 – 20)% = 720
   =>( x*40)/100 = 720
   => x = 1800
8. Two equal sum of money are lent at the same time at 8% and 7% per annum simple interest. The former is recovered in 6 months earlier than the latter and the amount in each case is Rs. 2560. Find the sum and the time for which the sum of money are lent out.
   A)  Rs.3500,2.5 yrs. and 3 yrs.
   B) Rs.3000,3 yrs. and 5 yrs.
   C)Rs.2000,2 yrs. and 4 yrs.
   D)Rs.2000,3.5yrs. and 4 yrs.
   E) Rs.2500,2yrs. and 6yrs.
   
   View Answer

     Option D
   Solution:
   Let each amount be Rs. x and time be t yr.
   x + (t –(1/2))*x*(8/100) = x + [( x+ t + 7)/100]
   =>  2xt/25 – x/25  = 7xt/100
   => t = 4 yrs.
   First money was lent for 4- (1/2) =3.5 yrs.
   Therefore ,Amount = x + (3.5*x*8)/100 = 2560
   => x = Rs.2000
   
9. In how many  different ways can the letters of “BANKING”  be arranged?
   A) 2520
   B) 3052
   C) 2500
   D) 3540
   E) 4250
   
   View Answer

     Option A
   Solution:
   The word BANKING consists of 7 letters in which “N” comes two times .
   So , the number of arrangements = 7!/2! = 2520
   
10. A basket contains 6 orange , 2 blue, 4 yellow and 3 red balls. If 2 balls are picked at  random what is the probability that either both are yellow or both red balls.
    A) 3/40
    B) 2/47
    C) 3/35
    D) 2/33
    E) 4/35
    
    View Answer

      Option C
    Solution:
    Number of selecting  2 balls out of 15 balls = 15C2 = 105
    Favourable number of outcomes = 4C2 + 3C2 = 9
    Required Probability = 9/105 = 3/35
    

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