# The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero

1.  1st

2.  9th

3.  12 th

4.  None of the above.

4

12 th

Explanation :
No Explanation available for this question

# Let p and q be the roots of the quadratic equation x2 – (α- 2) x - α - 1 = 0. What is the minimum possible value of p2 + q2

1.  0

2.  3

3.  4

4.  5

4

5

Explanation :
No Explanation available for this question

# The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f…. is

1.  u

2.  v

3.  w

4.  x

4

x

Explanation :
No Explanation available for this question

# There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# How many three digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s place respectively, exist such that x < y, z < y and x 0

1.  245

2.  285

3.  240

4.  320

4

240

Explanation :
No Explanation available for this question

# In the figure given below, AB is the chord of a circle with center O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ACD = y0 and AOD = x0such that x = ky, then the value of k is

1.  3

2.  2

3.  1

4.  None of the above

4

3

Explanation :
No Explanation available for this question

# If log32, log3(2x – 5), log3(2x – 7/2) are in arithmetic progression, then the value of x is equal to

1.  5

2.  4

3.  2

4.  3

4

3

Explanation :
No Explanation available for this question

# Which of the following has most number of divisors

1.   99

2.  101

3.  176

4.  182

4

176

Explanation :
No Explanation available for this question

# A girl wrote all the numbers from 100 to 200. Then she started counting the number of one's that has been used while writing all these numbers. What is the number that she got

1.  111

2.  119

3.  120

4.  121

4

120

Explanation :
No Explanation available for this question

1.  8

2.  27

3.  81

4.  121

4