 # SSC Maths Quiz

(1) The least five-digit perfect square number which is divisible by 3,4,5,6,8 is
a.14400
b.10800
c.10201
d.32400
(2) Which of the following numbers does not fit into the series?
14,19,29,40,44,51,59,73
a.59
b.51
c.29
d.44

(3) By selling a table for Rs.30,a shopkeeper gains 20%.During a clearance sale,the shopkeeper allows a discount of 10% on the marked price.His gain percentage during the sale season is
a.7.5
b.8
c.7
d.9
(4) From a vessel containing 100L of wine, 10L are drawn out and an equal amount of water is added. From the mixture, 10L is again drawn out and same quantity of water is added.What is the final ratio of wine to water?
a.90:10
b.91:9
c.81:19
d.80:20
(5) The marks of 3 students A,B and C are in the ratio of 10:12:15.If the maximum marks of the paper are 100,then the marks of B cannot be in the range of
a.40-50
b.70-80
c.20-30
d.80-90
(6) Mukesh uses 920 g in place of 1 kg to sell his goods.When he sells his article at 15% gain on the cost price,the actual percentage of profit is
a.15
b.25
c.30
d.20
(7) From a circular sheet of paper of radius 10 cm,a sector of area 40% is removed.If the       remaining part is used to make a conical surface,then the ratio of the radius and the height of the cone is
a.1:1
b.1:2
c.4:3
d.3:4
(8) If x=sinθ+cosθ and y = secθ+cosecθ,find y in terms of x
a.2x/x^2+1
b.2x/x^2-1
c.x/x^2+1
d.x/x^2-1
(9) If sinθ +cosec θ =2,then the value of sin^7θ+cosec^2 θ is
a.1/2
b.2
c.0
d.1
(10) The maximum value of sin^8 θ + cos^14 θ,for all real values of θ is
a.1
b.0
c.2
d.1/2

ANSWERS
(1)A
LCM of 3,4,5,6 and 8=120.Now,by seen the option we get that 14400 is a least five digit perfect square number which is divisible by 120

(2)B
it follows 1+4,next one 1+9,2+9 in same way 44+(4+4)=52 not 51

(3)B
given S.P of table =30 profit percentage = 20% CP of table =(30*90)/10 =27 required profit percentage = (27-25)/25 *100 =8%

(4)C
Here, a=10L, n=2 and x=100L
Quantitiy of wine in end =x(1-a/x)^n
=100(1-10/100)^2
=81L
Required ratio =81:(100-81)=81:19

(5)D
Let the marks of A,B and C are 10x,12x and 15X respectively.
maximum marks of C=15*6=90 and maximum marks of
b=12*6=72 hence the marks of B cannot be in the range of (80-90)

(6)B
Let CP=Rs 1000
Actual CP=Rs 920 and selling price =(1000*115)/100 = 1150
Actual profit percentage = (1150-920)/920 * 100% =25% ans

(7)D
Perimeter of circular sheet = 2πr =20π cm
The perimeter of base of conical surface = 20π*(100-40)/100 =12π
Radius of base of conical surface = 12π/2π = 6cm
& the height of conical surface =  √(10^2-6^2)=8cm
so,The required ratio = 6:8 or 3:4

(8)B
x= sinθ+cosθ y= Secθ+cosecθ
=1/sinθ+1/cosθ
=sinθ+cosθ/sinθcosθ
=x/sinθcosθ……..2
(sinθ+cosθ)^2=1+2sinθcosθ
x^2=1+2sinθcosθ
sinθcosθ=(x^2-1)/2 from equation …..2
y=2x/x^2-1 ans

(9)B
sinθ+cossecθ=2
sinθ+1/sinθ =2
sin^2θ+1=2 sinθ
(sin^2θ-2sinθ+1)=0
(sinθ-1)^2=0
sinθ=1=sin90°
θ = 90°
so,sin^7θ+cosec^7θ=1+1 =2ans

(10)A
f(θ)=sin^8θ+cos^14θ
=sin^8θ+(1-sin^2θ)^7
f(90°)=1+(1-1)^7
=1

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## Join the Conversation

1. 18 Comments

1. Saju says:

Thanks SSCADDA……..

2. kumar says:

Gud aftrn mam..thank u

3. ankit says:

Ajj achche ques diye sa ne

4. ankit says:

B b _ c d _ _ b b c

5. kumar says:

Plz bolo in English

6. kumar says:

Yes,,good standard questions,,,

7. kumar says:

I understand,but I confused that is ri8 or not

8. kumar says:

3-a (7.5)

9. manish says:

I THINK IT IS 8

10. Vartika says:

Refresh!!!

11. Sakshi says:

Hi mam how are you

12. kumar says:

Yes Manish ji,,thank u…it is 8

13. Vartika says:

Any one knows SSC tier-2 exams timings?

14. Rebel*(LXI) says:

Nope!

15. //oR says:

10-12(maths) & 2-4(eng)

16. vivekanandakumar reddy says:

10am-12.Pm
2pm to 4 pm,
But gates will b closed at 9:30 in d morning and 1:30 in d noon, so v have to b at center b4 9:30 in d morning and b4 1:30 in d noon, no one will b allowed into exam hall after closing of gates

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