Math Mock Test paper For Class IX

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1.     
The ratio of income of A ,B and C is
3:7:4 and the ratio of their expenditure is 4:3:5 respectively .if A saves Rs
300 out of Rs 2400, Find the saving of C .

a.     
565                                                     c)575

b.     
570                                                     d)580

2.     
A father is 7 years older than the mother
and the mother age now is 3 times the age of the daughter .The daughter is 10
years old now. what was the father age when the daughter was born?

a.     
27                                                        b)15

b.    
37                                                        c)26

3.     
If x:y=1:2 find the value of (2x+3y):(x+4y)

a.     
8:9                                                      c)6:8

b.     
7:8                                                      d)3:6

4.     
Two number are respectively 20% and 50%
more than a third number. The ratio of the two number is

a.     
2:5                                                      c)4:5

b.     
3:5                                                      d)6:7

5.     
A sum of money is to be distributed among
A,B,C,D  in the proportion of 5:2:4:3 if
c gets Rs 1000 more than D what is B ‘s share ?

a.     
500                                                     c)2000

b.     
1500                                    d)none
of these

6.     
In a mixture 60 litre the ratio of milk and
water 2:1 if this ratio to be 1:2 then the quantity of water to be further
added is

a.     
20litre                                 c)40litre

b.    
30litre                                 d)60litre

7.     
If 40% of a number is equal to two third
of another number what is the ratio of first number to the second number ?

a.     
2:5                                                      c)5:3

b.     
3:7                                                      d)7:3

8.     
Two number are in the ratio 3:5 if 9 is
subtracted from each the new number are in the ratio 12:23  the smaller number is

a.     
27                                                        c)49

b.     
33                                                        d)55

9.     
A and B together have Rs 1210 if 4/15 of
A  amount is equal to 2/5 of B amount how
muh amount does B have

a.     
480                                                     c)550

b.     
484                                                     d)664

10.  
10 ) x/4=y/3 find the rate (x+4):(y+3)

a.     
8/6                                                      c)3/7

b.      4/7                                                      d)2/5

11.   If
2a-1/2a=3 find 16a⁴+1/16a⁴

a.      119

b.      120

c.      118

d.      123

12.   If
x+1/x=2 then x²⁰¹³+1/x²⁰¹⁴

a.      0

b.      1

c.      -1

d.     2

13.    X+1/x=5 then the value of x³+1/x³

a.      125

b.      110

c.       45

d.      75  

14.   For
a fixed base if the exponent decreases by 1 the number becomes

a.      One
tenth of the previous number

b.      Ten
times of the previous number

c.       Hundredth
of the previous number

d.      Hundred
times of the previous number

15.   The
value of the expression

^a.          
(p+1/q)^mx( p-1/q)^m

^b.         
(q+1/p)^mx(q-1/p)^m

c.      (p/q)^2m

d.      (p/q)^-2m

e.      (Pq)^2m

f.       (p/q)^m

16.   The value of (0.03125)^-2/5

a.      1

b.     
2

c.     
3

d.    
4

17.  
If 9√x=√12+√147 the value of x is

a.     
1

b.     
2

c.     
3

d.    
4

18.  
The value of 2¹⁰⁺ⁿx4^3n-5

1.     
2⁴ⁿ⁺¹x2^3n-1

b.    
1/4

c.     
3/4

d.    
5/8

e.    
None of these

19.  
X+1/x=√2 find the value of x¹⁰⁰+x²⁰⁰+x¹⁶+x³²⁴

a.    
3

b.    
4

c.     
2

d.    
5

20.  
X+1/x=1 then find the value of x⁸¹+x²⁴³+x¹⁵

a.    
-3

b.    
-4

c.     
-1

d.    
-6

21.  
X+1/x=5 find the value of x²+1/x²

a.    
3

b.    
4

c.     
5

d.    
6

22.  
X+1/x=2 find the value of x¹⁰⁰⁰  +x¹³³¹

a.    
2

b.    
3

c.     
4

d.    
5

23.   A
real estate agent sells two sites for rs18000 
each .on one he gains 25% and on the other he loses 25% what is his loss
or gain percent?

a.      6.25%
gain

b.     6.25%loss

c.      4%loss

d.      4%profit

24.   By
selling an article for Rs 600 more Karthik would have made 5% profit on his sale
instead of a 11% loss. What was his cost price?

a.      3750

b.      4000

c.      2250

d.      6000

25.   A
tradesman marks his goods 25%above the cost price and allows his customers
12%reduction on their bills .What percent profit does he make?

a.      14%

b.     10%

c.      18%

d.     12.5%

26.   Divya
made a profit of 25% when selling a salwar kameez at Rs 4000. Find the cost
price of the same dress

a.      4800

b.     3650

c.      3200

d.     3000

27.   What
profit percent is made by selling an article at a certain price if by selling
at four fifth of that price there may be a loss by 12%?

a.      10%

b.     25%

c.      42%

d.     20

28.   A
customer was offered a discount of 30% 
on a piece of cloth .on insisting further the shopkeeper agreed to a
further discount of 10% on the above .what was the effective discount offered
to the customer?

a.      31%

b.     37%

c.      42%

d.     49%

29.   An
article is sold for Rs 1680 after two successive discount of 20% and 16%. What
is the marked price of the article ?

a.      2.300

b.      2.200

c.      2.500

d.      2.400

30.   A
plate was sold for 6300 after giving two successive discount of 25/2% and 10%.
Find the marked price .

a.      7300

b.      7700

c.      8000

d.      7250

31.   The
single discount equal to three consecutive discount of 10%,12%and 5%

a.      26.27

b.     24.76

c.      9%

d.      11%

32.   A
dealer marks his goods at 40% above the cost price and allows a discount of 20%
on the markedprice.The dealer has a

a.      20%loss

b.      25%gain

c.      12%loss

d.     Gain
12%

33.   To
gain 8% after allowing a discount of 10% by what percent price should be hiked
in the list price ?

a.      9%

b.      11%

c.      18%

d.     20%

34.   How
much percent above the cost price should a shopkeeper mark his goods so as to
earn a profit of 32% after allowing discount of 12%on the marked price ?

a.      50%

b.      40%

c.      60%

d.      45%

35.   The
marked price of an article is twice the cost price for a gain of 40% what
should be the discount percentage ?

a.      20

b.     30

c.      45

d.      50

36.   A
trader mark up his goods by 120% and offers 30% discount what will be the
selling price .if the cost price is rs 750 ?

a.      1225

b.      1080

c.      1280

d.     1155

37.   A
shopkeeper marks his goods 20% higher than the cost price and allows a discount
of 5%.Then the profit  percentage is

a.      14%

b.      15%

c.      13%

d.      12%

38.   The
marked price of an article is 10% higher than the cost price . A discount of
10% is given on the markedprice . In this kind of a sale the seller

a.      Bears
no loss ,no gain

b.      Gain
1%

c.      Loss%

d.      None
of the above

39.   The
difference between a discount of 40%on 500 and two successive discount of
36%and 4% on the same amount is

a.      0

b.      2

40.   A
shopkeeper sells a Tv set on discount of 8% of print price and gains 25% if
print price was 20000 then what was the cost price ?

a.      15000

b.      16000

c.      14000

d.     14720

41.   The
marked price of a radio is 480.The shopkeeper allows a discount of 10%and gain
8% if no discount of 10% and gains 8% if no disount is allowed his  gain percent is

a.      20%

b.      10%

c.      15%

d.      25%

42.   If
8% vat is included in the prices the original price of tv brought for 13500 is

a.      12500

b.      14500

c.      11500

d.      13500

43.  
If the speed of a swimmer is 9 km/hr in
still water and the speed of stream is 5km/hr then find the speed of swimmer
against the stream and along the stream

a.     
4km/hr 
10km/hr                             c)
14km/hr 16km/hr

b.     
4km/hr ,14km/hr                             d)14km/hr
18km/hr

44.  
The speed of a boat when travelling
downstream is 32km/hr where as when travelling upstream is 28km/hr .what is the
speed of the boat in still water and the speed of the stream ?

a.     
29km/hr,3km/hr                    c)30km/hr,8km/hr

b.     
30km/hr 8km/hr                              d)31km/hr,1km/hr

45.  
A boat take 48minute to cover 12km
against the stream if the speed of stream is 2km/hr then what will be the speed
of the boat in still water.

a.     
17km/hr                                            c)13km/hr

b.     
15km/hr                                             d)1.25km/hr

46.  
A boat while travelling in the direction
of stream take 5 hour for 90km ,while covering the same distance in the
opposite direction of stream it takes 6hour then the speed of stream is

a.     
2km/hr                                c)1.5km/hr

b.     
2.5km/hr                                           d)1km/hr

47.  
A man rows down a river 15km in 3 hours with
the stream and returns in 15/2hr the rate at which he rows in still water is :

a.     
2.5km/hr                                           c)1.5km/hr

b.     
3.5km/hr                                          d)4.5km/hr

48.  
A boat goes downstream in one third the time
it take to go upstream .Then the ratio between the speed of boat in still water
and that of the stream is

a.     
3:1                                                      c)1:2

b.    
1:3                                                      d)2:1

49.  
A man when goes to his office at the rate
of 24 km /hr reaches 10min late and when he goes by 30km/hr he reaches 20min
early find distance of the office ?

a.     
60km                                   c)55km

b.     
50km                                   d)65km

50.  
A boy when goes to his school by12 km
/hr  speed reaches 20min late and when he
covers the distance by 16km/hr reaches 5 min late .Find speed by which he may
reach on time and also find distance of his school .

a.     
16km/hr ,12km                 c)20km/hr,10km

b.     
18km/hr,12km                 d)15km/hr,10km