LIC AAO | QUANT QUIZ - 16 | S W A G

Directions (Q. 1-10): Study the following information carefully and answer the given questions.

1.One type of liquid contains 45% of milk, the other contains 25% of milk. A can filled with 7 parts of the first liquid and 3 parts of the second liquid. What is the percentage of milk in the new mixture?
70%
36%
39%
42%

EXP--Let the can contains 100 litres.
Quantity of milk = 70*(45/100) + 30*(25/100) = 31.5 + 7.5 = 39lt.
Then, % of milk = 39/100 * 100 = 39%

2.In an election between two candidates, one got 72% of the total valid votes. 25% of the total votes are invalid. If the total votes are 8200, what is the number of valid votes the other person got?
1722
6150
1277
1523

 EXP-- Total valid votes = 8200 * 75/100 = 6150
Other person got = 6150 * 28/100 = 1722 votes.

3.In a test, Rajesh got 112 marks which is 32 more than the passing marks. Sonal got 75% marks which is 70 more than the passing marks. What is the minimum passing percentage of the test?
30%
40%
50%
60%

EXP--Let the total number be X.
According to question, X * 75% – 70 = 112 – 32
=>X * 75/100 = 80 + 70
=>X = (150 * 100) / 75 = 200 marks
passing marks = 200 * 75/100 – 70 = 80 marks
Minimum passing marks(in percentage) = 80/200 * 100 = 40%.

4.A man drives 150 km from A to B in 3 hr and 20 mins, and returns to the place in 4 hr and 10 mins, If ‘S’ is the average speed of the entire trip then the average speed for the journey from A to B exceeds ‘S’ by
4
5
7
9

EXP--A to B distance = 150
A to B time = 3 hr 20 min = 10/3
=>A to B speed = 150 / (10/3) = 45
B to A time = 4 hr 10 min = 25/6
B to A speed = 150 / (25/6) = 36
Average speed = 2*45*36 / (45 + 36) = 40
Then, It exceeds by 45 – 40 = 5.

5.A driver of an ambulance sees a school bus 60 meters ahead of him. After 30 seconds the school bus is 90 meters behind. If the speed of the ambulance is 38 kmph, then what is the speed of the school bus?
20km/h
25km/h
35km/h
38km/h

EXP-->Relative speed = (90+60) / 30 = 5 mps
=>5 * 18/5 = 18 kmph
=>Relative Speed = Speed of ambulance – Speed of bus
=>Speed of school bus = 38 – 18 = 20 kmph.

6.By walking at 3/4 th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
60 min
50 min
80 min
55 min

EXP--S1 / S2 = t2 / t1
=>S / (3/4 S) = (t + 20) / t
=>4/3 = (t + 20) / t
=>t = 60 mins.

7.Milk and water are in the ration 3 : 2 in a mixture of 180 litres. How much water should be added so that new ratio becomes 2 : 3?
90
80
70
100

EXP--In 180 litres, milk = 108 ; water = 72
To be 2 : 3, 2X = 108 =>X = 54
=>New water = 3 * 54 = 162
So, water added = 162 – 72 = 90 litres.

8.402, 400, 388, 358, 302, ?

Trick: (1² + 1), -(3² + 3), -(5² + 5), -(7² + 7)….

9.8, 5.5, 8.5, 23, 89.5, ?

Trick: x1 – 2.5, x2 – 2.5, x3 – 2.5, x4 – 2.5…..

10.31, 15, 21, 50, ? , 767.25

Trick: x0.5 -0.5, x1.5 – 1.5, x2.5 – 2.5 …..