Quantitative Aptitude model question for SBI PO paper 1

1.If the height of a triangle is decreased by 40% and its base is increased by 40%. What will be the effect on its area
?[1] No change       [2]16% increase       [3]8% decrease    [4]16% decrease    [5] None of these
2.In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
[1] 1 Kg   [2]200 gms   [3]800gms  [4]  1.8Kg [5] None of these
3.If 2x+y=15,2y+z=25and 2z+x=26,what  is the value of z?
[1]4        [2]7   [3] 9      [4]12         [5]None of these
4.If 25% of a number is subtracted from a second number tne second number reduces to its five-sixths. What is ratio between the first number the first number and the second number?
[1] 2:3  [2]3:2   [3]1:3    [4] Data inadequate  [5] None of these
5.Arrange the letter of word AUCTION in such a way that the vowels always together. Find the number f ways?
[1]576  [2]48  [3]  144  [4]30  [5] None of these
Answer 1.
[4] Reqd effect = [+40-40-(40*40/100)]% = -16%
i.e.the area will decrease by 16%       
                                          
 2[1]  In1 Kg mixture quantity of iron = 200 gms                                                           
                                                Sand=800gms
Iiron becomes 10%  = 200/10*90=1800
Then sand added = 1800-800=1000kg
3.[5]    2x+y=15     y=15-2x…….(1)      
             2 (15-2x)+z=25          
                 4x-z=5………(2)
            And 2z=x=26…….(3)
           Combining eq (2)and(3),we get z=11 
                              
  4.[1]Let the first and second number be x and y respectively.
      y-x  *25/100 = y*5/6
        y-x/4 = 5/6y
       y-5/6y=x/4
       y/6=x/4   
     x:y = 2:3

5.[1]A,U,I,O    C    T    N
Taking all vowels as a single letter, the total no. of arrangement = 4!
All the vowels can be arranged in  4! Ways
.Total no.of ways = 4!× 4! = 576