Maths Quiz 30/1/2016

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1.  2^2014 - 2^2013 = ?
A) 2
B) 2^ 2014
C) 2^2013
D) 2^ 2000
E) None of these

2. Which number should come next in this series?
25,24,22,19,15
A)  4
B)  5
C)  10
D) 15
E) None of these.

3.  Which number should come next in this series?
3,5,8,13,21,
A) 25
B) 34
C) 35
D) 40
E) 45

4. A basket contains 15 apples and 10 oranges out of which 4 apples and 2 oranges are defective. If a person takes two fruits at random, what is the probability that either both are apples or both are good?
A) 221/300
B) 1/2
C) 221/ 413
D) 23/ 300
E) None of these.

5.  A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?
A) 10/21
B) 13/25
C) 26/59
D) 49/59
E) None Of these.

6. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A) 8000
B) 7500
C) 7600
D) 8500
E) None of these.

For Q(7-9) Find the odd one Out.



7.  1, 3, 9, 13, 19, 29


A) 9
B) 13
C)  19
D) 29
E) None of these.

8. 1, 8, 27, 64, 125, 196, 216, 343
A) 125
B) 196
C) 216
D) 343
E) None of these.

9. 362, 482, 551, 263, 344, 284
A) 263
B) 344
C) 284
D) 362
E) None of these.

10.  The current of a stream runs at the rate of 2 km per hr. A motor boat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motor boat in still water?
A.22 km/hr
B. 12 km/hr
C. 20 km/hr
D. 16 km/hr
E. None of these.




Answers:
1. C
2. C
3. B
4. A
5. A
6. B
7. A
8. B
9. B
10.A

1.2^2014 - 2^2013
= 2^2013(2^1 - 1)
=2^2013 x 1 = 2^2013


Ans 3 
Logic is initial diff 2 3 5 8
So 2+3=5 
3+5=8
5+8=13
So next 13+21=34

4.
15c2+19c2-11c2 /25c2 =221/300

here 11c2 comes from
15apples ahai 4 kharab hai 
2 apple chose krne hai ache apples me se .. so 11c2

4. Probaility for 2 apples = 15c2/25c2
for gud fruit = 19c2/25c2
for gud apple = 11c2/25c2
prob. for apple or gud fruit = 15c2/25c2 + 19c2/25c2 - 11c2/25c2 = 221/300



5.5c1×14c1/15c2

Q 5
(5C1*10C2)/15C2
=10/21 solve it by urslf

6.A= 20000*24 
B= 15000*24
C= 20000*18
ratio of A:B:C= 4:3:3
total 10x= 25000
share of B= 25000/10x *3x=7500

pehle sab me se 3 zeroes kat do (divide by 1000)
20*24: 15*24: 20*18
ab 6 se divide karo...
20*4 : 15*4 : 20*3
ab 5 se divide karo...
4 * 4 : 3*4 : 4*3
ab 4 se divide karo...
4 : 3 : 3



Ans7: none are perfect squares except 9

Ans 8: all are cubes except 196



and Q9
3+6+2=11
4+8+2=14
5+5+1=11
2+6+3=11
3+4+4=11
2+8+4=14
now you can see the series 11 14 11 11 11 14
so 263 is odd here ..... there sud be 14 not 11

ans 9 :
multiply 1st n last u will get middle one....


Q9.
middle digit is product of 1st and 3rd digit:
362: 3*2=6; 482:4*2=8 ; 551: 5*1=5 ; 263: 2*3=6; 344:3*4=12(wrong); 284: 2*4=8, therefore 344 is odd one out




10.
Let the speed of the boat in still water = x km/hr
Speed of the current = 2 km/hr
Then, speed downstream = (x+2) km/hr
speed upstream = (x-2) km/hr
Total time taken to travel 10 km upstream and back = 55
minutes =55/60 hrs = 11/12
=> 10/x-2 + 10/x+2 = 11/12
x=22kmph




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