If x, x - y and x + y are the angles of a triangle (not an equila

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

11.

What is 1log2N + 2log3N + 1log4N + ... + 1log100N = N  1?

  • 1log100!N

  • 1log99!N

  • 99log100!N

  • 99log99!N


12.

What is the greatest integer among the following by which the number 55 + 75 is divisible ?

  • 6

  • 8

  • 11

  • 12


13.

What is the number of non-zero terms in the expansion of(1 + 23}11 + (1 - 23)11 (after simplification) ?

  • 4

  • 5

  • 6

  • 11


14.

If x = 1 - y + y2 - y3 + ... up to infinite terms, where IyI < 1, then which one of the following is correct?

  • x = 11 + y

  • x = 11 - y

  • x = y1 + y

  • x = y1 - y


Advertisement
15.

What is the sum of all two-digit numbers which when divided by 3 leave 2 as the remainder ?

  • 1565

  • 1585

  • 1635

  • 1655


16.

If 0 < a < 1, the value of log10(a) is negative. This is justified by:

  • Negative power of 10 is less than 1

  • Negative power of 10 is between 0 and 1

  • Negative power of 10 is positive

  • Negative power of 10 is negative


17.

The third term of a GP is 3. What is the product of the first five terms ?

  • 216

  • 226

  • 243

  • Cannot be determined due to insufficient data


18.

fx, 3/2, z If x, 32, z are in AP; x, 3, z are in GP; then which one of the following will be in HP ?

  • x, 6, z

  • x, 4, z

  • x, 2, z

  • x, 1, z


Advertisement
19.

What is the value of the sum (in + in + 1), where i =  - 1 ?

  • i

  • 2i

  •  - 2i

  • 1 + i


Advertisement

20.

If x, x - y and x + y are the angles of a triangle (not an equilateral triangle) such that tan(x - y), tan x and tan (x + y) are in GP, then what is x equal to ?

  • π4

  • π3

  • π6

  • π2


B.

π3

πx, x - y, x + y are angles of a triangle. tan(x - y), tan x, tan(x + y) are in G.P.

we know that, Sum of Angles of a Triangle is 

x + x - y + x + y = π  (Sum of angles in triangle = 180° = π)

 3x = π   x = π3


Advertisement
Advertisement