Mixed Quantitative Aptitude Questions Set 119

1. A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
   41 min. past 18
   35 min. past 16
   49 min. past 14
   36 min. past 10
   48 min. past 12
   Option E
   Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours. 24 hours 10 min. of this clock = 24 hours of the correct clock 145/6 hrs of this clock = 24 hours of the correct clock 29 hours of this clock = 24*6/145*29 hrs of the correct clock = 28 hrs 48 min of the correct clock 48 min. past 12
   
    



2. In one litre of mixture of alcohol and water, 30% is water. The amount of alcohol that must be added to the mixture, so that the part of water in the mixture becomes 15%, find the amount of added water.
   1000 ml
   1100 ml
   1400 ml
   1200 ml
   1500 ml
   Option A
   1000 ml of mixture, Alcohol = 700 ml Water = 300 ml Let x ml of alcohol is mixed. 300/(1000+x)*100 = 15 =>x = 1000 ml
   
    



3. A and B started business with Rs 600 and Rs 500 respectively. After 4 months, C replaces B with X% of B’s capital. After 1 year C’s share out of the total profit 24000 is 5600. Find the value of X.
   40%
   50%
   70%
   60%
   80%
   Option C
   A:B:C = 600*12:500*4:5x*8 =180:50:x C’s profit = ×/(230+x) × 24000 =>×/(230+x) × 24000 = 5600 =>x = 70%
   
    



4. A shopkeeper bought a bed and a mattress together for Rs.12000. He sold the bed at a profit of 20% and the mattress at a loss of 25%. Find the selling price of the bed if in this whole transaction he had a profit of 5%.
   Rs.8800
   Rs.9100
   Rs.9600
   Rs.7400
   Rs.8000
   Option C
   Let CP be Rs.x CP = Rs.12000-x Now, 1.2x + (12000-x)*0.75 = 12000*1.05 =>x = 8000 SP of the bed = 8000*1.2 = Rs.9600
   
    



5. Average age of a class of 108 students is 18 years. Average age of all the boys in the class is 20 years and the average age of all the girls in the class is 15 years 6 months. Find the difference between the number of boys and number of girls in the class.
   10
   14
   16
   12
   18
   Option D
   Sum of all the students = 18*108 = 1944 years Let the number of boys be x and girls be (108-x) Now, x*20 + (108-x)*15.5 = 1944 =>x = 60 Difference between the number of girls and boys = 60-48 = 12
   
    



6. Mani invested Rs. X in a scheme offering 10% simple interest for 3 years. Had he invested the amount in another scheme offering compound interest at the same rate of interest compounded annually for the same period, he would have gained Rs.527 more. Find the value of x.
   15000
   17000
   16000
   19000
   18000
   Option B
   SI = x*0.10*3 = Rs.0.30x CI = x*{(1+0.10)^3 -1} = Rs.0.331x Now, 0.331x – 0.3x = 527 =>x = 17000
   
    



7. Present ages of X,Y and Z are in the ratio 4:3:7 resp. Present age of Q is 40% more than the age of Y 4 years ago. Find the present age of Q if the present age of X,Y,Z and Q is 35 years.
   23 years
   26 years
   20 years
   25 years
   28 years
   Option E
   Present age of Q = 1.4*(3x-4)= 4.2x – 5.6 years Now, 4x+3x+7x+4.2x – 5.6 = 35*4 =>x = 8 Present age of Q = 4.2*8 – 5.6 = 28 years
   
    



8. Sum of present ages of A and B is 41. Age of A 2 year hence is equal to age of C, 1 year ago. Age of A, 4 year hence is equal to age of B 1year ago and ratio of present age of A and D is 3 : 4. Find the difference of age of C and D.
   5 years
   2 years
   4 years
   3 years
   6 years
   Option D
   A+ B = 41 …(i) C -1 = A + 2 C = A + 3 And A + 4 = B - 1 ⇒ B = A + 5 …(ii) From (i) + (ii) A = 18 years B = 18 + 5 = 23 years C = 18 + 3 = 21 years D = = 24 years Required difference = 24 – 21 = 3 years
   
    



9. Rakesh adds 12% of his salary in PPF. 3/8th of the remaining amount is spent on clothes and the difference between PPF and clothes expenses is Rs 10500. Remaining amount is spent on house rent and other expenses. If house rent expenses is Rs 1500 less than other expenses, then what is the house rent expenses?
   15000
   12000
   16000
   13000
   17000
   Option D
   12% of the salary is added as PPF. Remaining Part = 100 - 12 = 88% Amount spent on clothes = of 88% = 33% Difference between PPF and cloth expanses = 33 - 12 = 21% of salary = 10500 Total salary = 50000 Other expanses = House Rent expanses + 1500 House Rent expanses + Other expanses = (100 - 33 - 12)% of salary = 55% of salary = 27500 House Rent expanses + House Rent expanses + 1500 = 27500 2 × House Rent expanses = 27500 - 1500 = 26000 House Rent expanses = 13000
   
    



10. A pipe can fill a cistern in 6 hrs. Due to a leak in its bottom, it is filled in 7 hrs. When the cistern is full, in how much time will it be emptied by the leak?
    40 hrs
    42 hrs
    49 hrs
    44 hrs
    46 hrs
    Option B
    In one hour,part of cistern filled = 1/6 In one hour, cistern can be filled= 1/7 In one hour 1/6−1/7=142 Cistern will be emptied in = 42 hrs