LIC AAO | IBPS/SBI SO | QUANT QUIZ - 9 | S W A G

Directions (Q. 1-5): Study the following information carefully and answer the given questions.

1)A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A) 1/3    B) 1/4
C) 1/5    D) 1/7

Explanation:

Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =(3 -3x/8 +x)  litres.
Quantity of syrup in new mixture =(5-5x/8)   litres.
  (3 -3x/8 +x) = (5-5x/8)
=>   5x + 24 = 40 - 5x
=>   10x = 16    => x = 8/5
So, part of the mixture replaced =  = 1/5.

OR

5__________________0

_______4____________

4___________________1

so ans is 1/5

2)A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months    B) 5 months
C) 6 months    D) 8 months

Explanation:

Suppose B joined for x months . Then,  ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months.


3)The average age of a couple was 26 years at the time of marriage. After 11 years of marriage, the average age of the family with 3 children become 19 years. The average age of the children is
A) 3years  B) 5years
C) 7years  D) 9years

 Explanation :

The average age of a couple = 26 years.

Total age of couples = 26 x 2 = 52 years

 Total age of couple after 11 years = (52 + 2 * 11 ) = 74 years

Suppose average age of 3 children after 11 years is 3x years.

=> (74+3x)/5 = 19 =>x = 7

The average age of children is 7 years.

4)12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A) 8    B) 15
C) 16   D) 18

Explanation:

Capacity of the tank =(12 x 13.5) liters =162 liters.
Capacity of each bucket =9 liters
Number of buckets needed = 162/9 =18.


5)A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform ?

A) 500    B) 400
C) 360    D) 480

Explanation:

Speed of train 1 = 48 kmph
Let the length of train 1 = 2x meter

Speed of train 2 = 42 kmph
Length of train 2 = x meter (because it is half of train 1's length)

Distance = 2x + x = 3x
Relative speed= 48+42 = 90 kmph =90x5/18 m/s = 25 m/s

Time = 12 s

Distance/time = speed
=> 3x/12 = 25 =>x =25x12/3 => x =100m

Length of the first train = 2x = 200 meter
Time taken to cross the platform= 45 s

Speed of train 1 = 48 kmph = 480/36 = 40/3 m/s

Distance = 200 + y     [where y is the length of the platform]
=>200+y =45x40/3

Directions (Q. 6-10): Find the next number in the following number series

 

6. 63   95   119   135   143   ?
1) 151
2) 157
3) 162
4) 168
5) None of these

Ans 5 The series is 3x21, 5x19, 7x17, 9x15, 11x13, 13x11...

7. 4   20   101   357   982   ? 
1) 1632
2) 1848
3) 2040
4) 2278
5) 2412

Ans 4 The series is +2^4, +3^4, +4^4, +5^4..

8. 14   50   166   522   1598   ? 
1) 4832
2) 4834
3) 4836
4) 4838
5) 4840

Ans 2 The series is ×3 + 8, ×3 + 16, ×3 + 24..

9. 4830   4556   4290   4032   3782   ?
1) 3510
2) 3520
3) 3530
4) 3540
5) 3550

Ans 4 The series is  69^2 + 69, 67^2 + 67, 65^2 + 65, 63^2 + 63....


10. 1320   1313   1288  1227   1106   ?
1) 875
2) 880
3) 885
4) 890
5) 895

Ans 5 The series is –2^3 + 1, –3^3 + 2, –4^3 + 3, –5^3 + 4...

 THANK YOU !!