|
Answers Test paper 1
1.B (a+1)(b+1)(c+1)-1=1000
= (a+1)(b+1)(c+1) =1000+1 =1001 = 7x11x13
=(12+1)(10+1)(6+1) a=12 ,b=10
,c=6
12>10>6 a>b>c
so b=10
Answer is B
2B. a = an
+bn +cn
d bn+ cn +dn
Where a b c d are in continued proportion i.e a/b=b/c=c/d
Let a/b=b/c=c/d =k c=dk b=ck=dk2 a=bk2=dk3
LHS a/d = dk3/d =k3
RHS (dk3)n+(dk2)n+(dk)n
dn (k3n +k2n+kn)
kn (k2n +kn +1)
= kn
(dk2)n + (dk)n
+ (d)n
= dn
(k2n +kn +1) =
(k2n +kn +1)
k3 = kn
n=3 Answer
Short Cut Method assume a continued proportion series 8 ,4 ,2,1 in place of a b c d
8 = 8n+4n+2n
1
4n+ 2n +1n
23 =
8n+4n+2n
Here 23
point us n may be 3 . Put the value of n=3 and see
what happen
4n+ 2n +1n
23 =
83+43+23
672+64+8
744 =8 =23
43+
23 +13
=
64 +8 +1
=
73
It satisfies the equations so n=3 Answer is B
3C.If |a|=3,| b|=4 and | a+ b|=1 then | a- b|=?
|-3|=3,|4 |=4 and | -3+4|=1 | -3-4|= | -7| =7
or |3|=3,|-4 |=4 and | 3-4|=|-1 |=|1| | 3-(-4)|= | 7| =7
Answer C
4D.Here bacteria population to grow from 1,000 to 500,000 It is a question of GP
Here first we find out nth term n=? a= 1000 nth term = 500,000 r=2
nth term = arn-1
500.000 = 1000 x2n-1
500 = 2n-1
APPROXIMATELY
29 = 2n-1
n-1 =9
n=10
Growth of bacteria is as follows-
1000
2
000
4000 ,,,,,,,
| ... 2 min ......| ... 2 min ...|
It means - two time intervals among three terms .So there is 9
time intervals among 10 terms
Total time 2x9 =18 Minutes
so answer is D
5 D OOOOOOOO........
So 1 m.m =
1000= 125
.008m.m
8
Answer is D
6A
.
A1 = area =axa = a2
x2 + x2 = 4x2 a2
A2 =
x2 = 4 a2 = 4A1
A2 = 4 times of A1
Answer A become 4 times
7E 3 Π = 2 Π r 1 Area = Π 1.5 x1.5 = 2.25 Π
Π = 2Π r2 Area Π .5 x.5 = .25Π
Area decrease ( 2.25 - .25 )Π = 2.Π
% Area decrease = 2x100Π
2.25Π
= 88 8/9%
. Answer (E)
8E . If price of each brand A tv set is
a Bill of brand A tv set
is 40a
Price of each brand Btv set is
2a Bill of brand B
tv set 160a
Total Bill 200a
percent of the total bill was the price of a
brand B set 2a
x.100 = 1%
200a
Answer E
9.D. Total cost of
fruits 2000x40
/100 Rs800 .00
Other expenses
Rs200.00
1000.00
Spoiled fruits 2000of 10%
= 200
saleable fruits 1800
1800x 9 = 1350
12
% gain (1350-1000)
x100
1000
35%
Answer D
10 A (x+y+z ) 2 =1
x2+y2+z2
+2xy+2yz+2zx
=1
x2+y2+z2 It must be +ve
2xy+2yz+2zx
<1
xy+yz+zx <1 /2
Answer is A
11.x will complete 1/20 in one day. Y will complete 1/30 in one day.
Z will complete 1/60 in one day.
4 days = (1/20 + 1/30 + 1/60)*4
= (3+2+1/60)*4
= 6/60*4
= 4/10
= 2/5th complete
6 days = (1/20 + 1/60)*6
= (3+1/60)*6
= 4/60*6
= 4/10 = 2/5
total work complete = 2/5+2/5 = 4/5
work remaining = 1/5
1/5/1/20=1/5*20/1
= 4 days
22/7*62*4 = 5*6*7( p)
p = 22/7*36*4
5*6*7
p = 22/7*24/35
13.Expensive brand cost = 20*60=1200
Expense now = 1200-450=750
Average cost of the mixture =750/20
Rs.30 Rs. 60
Rs. 750/20
450/20 150/20
3:1
14.= (16+9)2
= 252
= 625
15. Total time taken = 2.5+2+4=8.5 hour
Distance = 100+100 = 200 kms
Speed = 200/8.5 = 23.52
16. Let wages of y =a, then x=1.25a
X took 75/1.25a = 60/a
Y will take 1.25*60/a
=75/a*a
=Rs.75
2250+135= 2385
2385-2000=Rs. 385
discount% = 385/2250*180
= 17%
18... cost price for x = 5
selling price for x = 10
profit = 5
cost price for x = 12
selling price = 15
profit = 3
total profit = 5+3= 8
19.
| Triangle SAB is similar to triangle SFL
SA / SF = AB / FL x /x + 4 = 1.75 / 5.25 = 1/ 3 3x = x + 4 Therefore x = 2m
|
 |
20.. Volume of cone = volume of sphere
1 / 3 ( 22/ 7) r2h
= 4 /3 ( 22 /7) r2
1 /3 * ( 22 / 7) * 102 h
= 4 /3 * ( 22 /7) * 43
102h= 256
100 h = 256
h=2.56
21 A Prime numbers between 1 to 100
are 2,3,5,7,..................97
Now there is no any prime
number which having unit digit 5 or 2 (ie
x2,or x5 ) except 2 and 5
SO we get 2x5
=10 and this is only 0 reflect in product of prime
numbers between 1 to 100
answer
=1 A
22B Suppose the capacity of tank is x
9/10x -50 = 5/6x
( 9/10-5/6)x= 50
(54 -50/60)x =50
4/60x=50
x= 50x15 = 750
Answer is B
23B . Prime numbers between 70 and 90 are 71
,73,79,83,89,
Here total of 73 and 89
is 162
difference is 89-73
= 16
Answer is B
24C 12345678910111213……5354
number when divided by 8 will leave a remainder of ???
Just
take last three digit and divide by 8 and find the remainder
of this number only
354 /8 44 2/8 here we get remainder
2 (See one full lesson on this subject in How to
calculate
fast )
Answer isC
25A A point P moves in a plane such that its distance from another point Q is always 7 cm.
Here P moves in a circle keeping a distance of 7 cm .from point Q
If the point P moves from its starting position in the plane, say P1, a distance of 44 cms and halts at point P2
Here radius of
this Circle is 7 cm , circumference of this circle
is 2 x 7x22 /7 = 44 cm .Now p moves
as a P1
a distance of 44 cm
and reaches to P2.
It is nothing but it covers circumference of this
circle and reaches
again to original
position so distance between P1P2
is 0
answer is A
26B Here no need to find 2 and 3 years compound
interest . Compound interest is interest on interest and
it is
calculated at the same rate
Difference of 3rd
and 2nd year interest Rs968-880 = Rs88
Extra interest for one year on
Rs 880 So % of rate of interest is ( 88 /880
)x100 =10%
Answer is B
28C . Let Raghu’s age now be x
5 years hence will be x +5
from statement I x = f-30
f = 50 +5 = 55
Therefore x = 55-30 =25
5years hence Raghu’s
age = 25 + 5 =30
There from both
statements together
The answer is
[C]
29 C . From statement I à 15 boys scored
over 80%
From statement II à
½ of 50 = 25 students
Therefore no. of girls = 25-15
= 10
The answer is deduced from I
& II both
The answer is [C]
30E From statement 1à Jan
to July is 15000
From statement 2à
July to Dec 1500* 6 =9000
Individually the statements don’t tell us about the whole year
Combined Jan
to July + July to Dec
1 5000 + 9000 = 24000
Jan to Dec +
July = 24000
But salary
during July is not know
Therefore average
for 12 months cannot be found
Therefore the answer
is = [E]
31C . Is x = z, x,y,&z are real numbers
From statement (I) 2y = x + c
From statement (II) 3 z =
x + 2y
2y = 3z-x
combined x + c =3z- x
2 x = 2z
Therefore x =z
The answer is (C)
32C.from statement 1 à x2 - x – 12
= 0
(x-4) (x +3)=0
Therefore x =4 Or -3
From statement 2à
x2 + x –20 =0
( x-4) ( x +5) =0
Therefore x =4 or-5
Therefore x =4 Common in both statement
Answer
is [C]
33 to 37
Five brothers have among
them a pair of twins who are neither the oldest nor the youngest.
E is older
than C but younger than B. D is younger than 3 brothers
D is younger than 3 brothers .It means Position of D is at 4
D
1
2 3
4 5
Now fill up other position according to given conditions
B >
E = A > D
>C
1
2
3
4 5
33 C 34 D 35 A 36 A 37C
38B. No..of share of co. A 800/8 =
100 Total face value 100x10
=1000
return 100x7/100 =Rs70
No.of share of co B
1400/8=
200
200x10
=2000
200x8/100= Rs160
No of share of co C
2200/a ( let it be
a)
2200x10/a
2200x9x10/(ax100) = 1620/a
Total return 70 +160+(1620/a ) = 10.25 %of 4000
230 + 1620/a =410
1620 /a = 410-230=180
1680/180 = a
9
=a
So price of co C share is Rs
9.00
Answer is B
39C Let maximum marks of each paper is 100 ,total maximum marks
are 500 And he gets 6a,7a,8a,9a,and 10
marks in each paper
6a+7a+8a+9a+10a= 40 a= 60%of 500 =
300
a = 300/40 = 7.5
% in each paper is 6x7.5
= 45 , 52.5 , 60 ,67.5
,75 ( Add 7.5 after 45 instead of multiply 7.5 to
each i.e 7,8,9,10 for fast calculations)
He gets marks more than 50% in 4 papers
Answer is C
40.B
41BHere First we find out the cost of Mirchi powder
so that 25% may be gained by selling the mixture at
Rs.60 kg
Let cost of Mirchi powder is x
x + 25% of x = 60
x+
x/4
=60 5x/4
=60 = Rs 48
Cost of Mirchi powder Should come Rs 48 .00 per Kg
Let "a" be mixed With 16kg Of Rs 55 per kg
40a +16x55 =48(a+16)
48a- 40a= 16x55-48x16
8
a
= 16(55 -48 ) = 16x7
a = 16x7 /8 = 14 (don't calculate in beginning if we calculate 16x55 and 18x16 in
beginning it
takes our time and again we divide the subtraction of both by
8also Now
see there is no any time consuming calculations so
be alert in
calculations)
Answer is B
42C If y,2y+2,3y+3 are in G.P. then their fourth term is
In G.P y (3y+3) =(2y+2)2
3y2 +3y =4y2+8y +4
y2 +5y +4 = ( y+4 ) (y+1) y= -4or-1 -1 gives 2y+2 =0 so ignore it
Now our terms are -4 ,-6 ,-9 , x
- 6/-4 = x/-9 x= -13.5
Answer is C
43.B
.
Answer is B
44if y>0 and sqrt(9y+36)= y then y=?
(9y+36)1/2= y 9y+36 =y2 y 2 -12y+3y-36 ( y-12) (y+3)
y=12 or -3 Because y>1
so that y=12
Answer is E
45.B
Answer is B
46 C When 10 is divided by
the positive integer n, the remainder is n-4. Which of the following could
be the value of n?
Do it mentally by option method
first and second option is not valid it gives remainder -3 and 0
Try option third
10 /7 =1+ 3 /4 = 7-4 =3 It is valid
Answer is C
47C. Amount double means 2x = x ( 1
+ r /100)4 , where x and r
are principal and rate of interest
2 1/4 = (1+r/100)
8x = x( 1 + r /100)n
23 =
( 1 + r /100)n
23/n = ( 1 + r /100)
23/n = 2 1/4
3/n =1/4
n= 12 Years
Short cut method
|..............| .............|.............|
x 4years 2x 4 years 4x 4 years 8x
Amount is double after every 4 years
4+4+4 = 12 Years
Answer is C
48 D Both took Science and Maths 83.6 + 31.2 -100 = 114.8 -100 =14.8 %
1 4.8 % of x = 3700
14.8 x =3700
100
x = 2500 = total number of students
Answer is D
49c. 9 9 add and
subtract 1
99
-1+1 =(99-1)
+1
If xn-1 then x-1 satisfy
the polynomial xn-1 =0 ie 9-1 also
satisfy
the
polynomial 99-1
=
(9-1)(98+,,,,,,,,)+1
First part is fully divisible by 8 so the remainder is
1
Answer is C
50E. How many liters of
pure alcohol must be added to 10 liters of a mixture which is 15%
alcohol to
make a mixture which will be 25% alcohol?
Let 100 % pure alcohol is a liter Consider 100 % to 1 15% to .15 and 25 % to .25
ax.1 + 10x..15= .25(a + 10)
a + 1.5 = .25a+2.5
( 1-.25)a= 2.5-1.5 =1
a= 1/.75 = 4/3
Answer is E
Know yourself through your
handwriting . Remove your negative 
personality traits and become successful person . Interested !!!!
For all other related information Please Click
Here