Quant Quiz “Advance” for 14 august SSC CGL 2016


Q1.The angles of elevation of the top of a building from the top and bottom of a tree are x and y respectively. If the height of the tree is h metre, then, in metre, the height of the building is 
(a) (h cot⁡x)/(cot⁡x+cot⁡y ) 
(b)  (h cot⁡y)/(cot⁡x+cot⁡y )
(c) (h cot⁡x)/(cot⁡x-cot⁡y )
(d) cot⁡x/(cot⁡x+cot⁡y )
Q2.ABC is a triangle in which DE || BC and AD: DB = 5 : 4, Then DE : BC is 
(a) 4 : 9  
(b) 5 : 9 
(c) 4 : 5
(d) 9 : 5
Q3.One of the angles of a right-angled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is 
(a) 1200 
(b) 1215
(c) 1220
(d)1250 
Q4.G is the centroid of ∆ABC. If AG = BC, then angle BGC is – 
(a) 90°
(b)  30°
(c) 60°
(d) 120°
Q5.Two sides of a triangle are of length 4 cm and 10 cm. If the length of the third side is ‘a’ cm, then
(a) a>5 
(b) 6<a<12
(c) a<6
(d) 6<a<14
ANS(d);
The sum of any two sides of a triangle is greater than third side and their difference is less than third side. 
∴ a+4>10
⇒a>10-4 
⇒a>6  
Again, a-4<10 
⇒a<14 
∴6<a<14 

Q6.Taking any three of the line segments out of segments of length 2 cm, 3cm, 5 cm and 6 cm, the number of triangles that can be formed is: 
(a) 3 
(b) 2
(c) 1
(d) 4
ANS(b); 
The sum of two sides of a triangle is greater than the third side. 
(3, 5, 6) and (2, 5, 6) 

Q7.Internal bisectors of angles ∠B and ∠C of a triangle ABC meet at O. If ∠BAC=80°, then the value of angle BOC is 
(a) 120° 
(b) 140°
(c) 110°
(d) 130°
Q8.By decreasing 15° of each angle of a triangle, the ratios of their angles are 2 : 3 : 5, the radian measure of greatest angle is 
(a) 11π/24 
(b) π/12
(c) π/24
(d) 5π/24
ANS(a); 
2x+3x+5x=180°-45°=135°
⇒10x=135° 
⇒x=135/10=27/2 
∴ Largest angle 
=5x+15°=(5×27/2)^°+15° 
(135+30)/2=(165°)/2 
∴180°=π radian 
∴(165°)/2=π/180×165/2=11π/24 radian

(a) (3√3)/2 
(b) 9/4
(c) 3/4
(d) 3/2
Q10.If  29tan⁡θ=31, then the value of (1+2 sin⁡θ  cos⁡θ)/(1-2 sin⁡θ  cos⁡θ ) is equal to 
(a) 490 
(b) 810
(c) 900
(d) 540









Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Login

OR

Forgot Password?

Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Sign Up

OR
Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Forgot Password

Enter the email address associated with your account, and we'll email you an OTP to verify it's you.


Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Enter OTP

Please enter the OTP sent to
/6


Did not recive OTP?

Resend in 60s

Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Change Password



Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Almost there

Please enter your phone no. to proceed
+91

Join India largest learning distination

What You Will get ?

  • Job Alerts
  • Daily Quizes
  • Subject-Wise Quizes
  • Current Affairs
  • previous year question papers
  • Doubt Solving session

Enter OTP

Please enter the OTP sent to Edit Number


Did not recive OTP?

Resend 60

By skipping this step you will not recieve any free content avalaible on adda247, also you will miss onto notification and job alerts

Are you sure you want to skip this step?

By skipping this step you will not recieve any free content avalaible on adda247, also you will miss onto notification and job alerts

Are you sure you want to skip this step?