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    

Download Upcoming Government Exam Calendar 2021

×

Download success!

Thanks for downloading the guide. For similar guides, free study material, quizzes, videos and job alerts you can download the Adda247 app from play store.

Thank You, Your details have been submitted we will get back to you.

Join the Conversation

18 Comments

  1. 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

Leave a comment

Your email address will not be published. Required fields are marked *

×
Login
OR

Forgot Password?

×
Sign Up
OR
Forgot Password
Enter the email address associated with your account, and we'll email you an OTP to verify it's you.


Reset Password
Please enter the OTP sent to
/6


×
CHANGE PASSWORD