LIC AAO | IBPS/SBI SO | QUANT QUIZ - 10 | S W A G

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

 

1. From a container of milk, 5 litres of milk is replaced with 5 litres of water. This process is repeated again. Thus in two attempts the ratio of milk and water becomes 81:19. The initial amount of milk in the container was
(a) 50 litres
(b) 45 litres
(c) 40 litres
(d) 25 litres
(e) None of these

EXPLANATION :- 
(a) Milk (Remaining)/ Water = 81/19.
Milk Remaining / Milk Initial = 81/100.
Therefore, Remaining Milk = Initial Concentration{1-(quantity taken out/ total amount)}^n
=> 81x = 100x(1-5/k)^2
=> 81/100 => (9/10)^2 = (1-5/k)^2
=> 1-5/k = 9/10
=> 5/k = 1-9/10 = 1/10
=> k= 50 litres


2. A bag A contains 4 green and 6 red balls. Another bag B contains 3 green and 4 red balls. If one ball is drawn from each bag, find the probability that both are green.
(a) 13/70
(b) 1/4
(c) 6/35
(d) 8/35
(e) None of these

EXPLANATION :- 
(c) Total Balls in Bag A = 4+6 = 10
Green Ball = 4
Probability that ball is green = 4/10
Total Ball in Bag B = 7
Green Ball = 3
Probability that ball is green = 3/7
Total probability = 4/10 * 3/7 = 12/70 = 6/35


3. The sum of the radius and height of a cylinder is 42 cm. Its total surface area is 3696cm^2. What is the volume of cylinder?
(a) 17428 cubic cm
(b) 17248 cubic cm
(c) 17244 cubic cm
(d) 17444 cubic cm
(e) None of these

EXPLANATION :- 
 (b) Total surface area of Cylinder = 2prh + 2pr^2.
= 2pr(h+r) = 3696
= 2*(22/7 )* r*42 = 3696
r = 14 cm
Hence, h = 42-14 = 28 cm
Volume = pr^2h = 14x14x28x22/7 = 17248 cu. cm

4. Three typist P,Q and R have to type 368 pages. P types one page in 8 minutes, Q in 18 minutes and R in 24 minutes. In what time will these pages be typed if they work together?
(a) 25 hours
(b) 27.6 hours
(c) 27 hours
(d) 28 hours
(e) None of these

EXPLANATION :-  
(b) Page printed in 1 minute = 1/8 + 1/18 + 1/24.
= 9+4+3/72 = 16/72 = 2/9.
Time Taken = 368*9/2 = 1656 minutes = 27.6 hrs

5. The distance between two points is 36 km. A boat rows in still water at 6 kmph. It takes 8 hours less to cover this distance in downstream in comparison to that in upstream. The rate of stream is
(a) 3 kmph
(b) 2 kmph
(c) 2.5 kmph
(d) 4 kmph
(e) None of these

EXPLANATION :- 
(a) Speed of current = x kmph
Rate downstream = 6+x kmph
Rate upstream = 6-x kmph
Therefore, 36/(6-x) - 36/(6+x) = 8
Solving for x , we get x= 3 kmph

(6-10):- In the following number series, a wrong number is given. Identify the wrong number that does not follow the given pattern.

6. 3 10 33 111 349 1072 3252
(a) 33
(b) 111
(c) 349
(d) 1072
(e) 10

Ans (a) The pattern is x3 + 1^2, *3+2^2, *3+3^2, *3+4^2, *3+5^2....
34 should be there in place of 33.

7. 1 2 12 63 316 1704 10446
(a) 63
(b) 1704
(c) 316
(d) 10446
(e) 2

Ans (b) The pattern is *1+1^3, *2+2^3, *3+3^3, *4+4^3, ......
1705 should be there in place of 1704.


8. 2 6 24 96 285 568 567
(a) 6
(b) 96
(c) 24
(d) 568
(e) 567

Ans (c) The pattern is *6-6, *5-5, *4-4, *3-3....
25 should be there in place of 24.

9. 15 28 43 60 79 101 123
(a) 28
(b) 43
(c) 60
(d) 101
(e) 123

Ans (d) The pattern is +13, +15, +17, +19, +21, ...
100 should be there in place of 101.

10. 9 10 18 45 109 235 450
(a) 10
(b) 9
(c) 19
(d) 109
(e) 235

Ans (e) The pattern is +1^3, +2^3, +3^3, +4^3, +5^3, +6^3,.....
234 should be there in place of 235.

THANK YOU :)