Quant Test for SBI PO Prelims Exam set – 08

Direction(1-5): What approximate value will come in place of question mark ‘?’ in the following questions.

1. 79.008% of 799.998 + 42.99% of 499.999 – 53.93% of 699.92 = ?
   400
   444
   356
   550
   469
   Option E
   79.008% of 799.998 + 42.99% of 499.999 – 53.93% of 699.92 = ?
   => 79 * 800/100 + 43 * 500 / 100 – 54*700/100
   => 632 + 215 – 378 = 469
   

    

2. 3263 × 246 – 18611 = ? + 5883
   755750
   766430
   745369
   778204
   795547
   Option D
   3263 × 246 – 18611 = ? + 5883
   => 3263 × 246 = 802698
   =>802698 – (18611 + 5883) = 778204
   

    

3. (23.1)^2 + (48.6)^2 – (39.8)^2 = 163.84 + ?
   

   1148
   1563
   1225
   1990
   1425
   Option A
   (23.1)^2 + (48.6)^2 – (39.8)^2 = 163.84 + ?
   => 533.61 + 2361.96 – 1584.04 = 163.84 + ?
   =>1311.53 – 163.84 = 1147.69 == 1148
   

    

4. (331 + 19)*(15 – 11)*(37 + 13) = ?
   50000
   70000
   90000
   40000
   80000
   Option B
   (331 + 19)*(15 – 11)*(37 + 13) = ?
   => 350 * 4 * 50 = 70000
   

    

5. 
   12.5% of 350 * 8.4% of 250 = ?
   
   850
   889
   919
   930
   900
   Option C
   12.5% of 350 * 8.4% of 250 = ?
   => 6.25 * 7 * 21 = 918.75 == 919
   

    

6. 
   The marked price of a radio is Rs 480. The shopkeeper allows a discount of 10% and still gains 8%. If no discount is allowed, find his gain percent.
   
   10%
   14%
   20%
   25%
   18%
   Option C
   M. P. = Rs 480/-
   Discount = 10%
   S.P. = 90/100 × 480 = Rs 432
   P% = 8%
   C.P. = 100/108 × 432 = 400
   If no discount is given then S.P. = M.P. i.e. S.P. = 480
   (480 – 400)/400 × 100 = 80/400 × 100 = 20%
   

    

7. 
   Pankaj sells a book to Mayank at a profit of 20% and Sunil sells this book to Varun at a profit of 25%. Now, Varun sells this book at a loss of 10% to Ram. At what percentage loss should Ram sells this book now so that his SP becomes equal to Pankaj’s CP?
   
   30%
   15%
   20%
   24%
   26%
   Option E
   Let initial CP of book is x.
   CP to Ram = 120/100*125/100*90x/100 = 1.35x
   Required % decrease = [1.35x – x ]/1.35x*100 = 25.92% == 26%
   

    

8. The difference between the sum of four consecutive odd numbers and three consecutive even numbers together is 20. Also, the largest even number is 5 more than the largest odd number. What is the sum of the smallest odd number and the smallest even number ?
   67
   59
   83
   90
   77
   Option E
   Let the odd numbers be x, x + 2, x + 4, x + 6 and the even numbers be y, y + 2, y + 4.
   Now (4x + 12) – (3y + 6) = 20 And (y + 4) – (x + 6) = 5
   Solving them, we get x = 35 and y = 42
   Required sum = 35 + 42 = 77
   

    

9. 
   A, B and C can finish a work in 10, 12 and 15 days respectively. They start working together. If B stops after 2 days, how long would it take A and C to finish the remaining work?
   
   5
   4
   7
   6
   3
   Option E
   A + B + C in 2 days.
   2(1/10 + 1/12 + 1/15) = ½ work
   B withdraws, A+C will do the whole work = 10*15/(10+15) = 6 days
   SO, 6/2 = 3 more days
   

    

10. 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%, is:
    3000 ml
    1000 ml
    5000 ml
    2000 ml
    4000 ml
    Option B
    In 1000 ml of mixture, Alcohol = 700 ml
    Water = 300 ml
    Let x ml of alcohol is mixed.
    300/(1000+x)*100 = 15
    =1000 ml