# Quiz Discussion

The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by $$\frac{{{l^2} - {a^2}}}{{k - \left( {l + a} \right)}}$$   then k = ?

Course Name: Quantitative Aptitude

• 1] S
• 2] 2S
• 3] 3S
• 4] None of these
##### Solution
No Solution Present Yet

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# Quiz
1
Discuss

(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......

• 1]

$$\frac{{n\left( {n + 1} \right)}}{2}$$

• 2]

$$\frac{{n\left( {n - 1} \right)}}{2}$$

• 3]

$${n^2}$$

• 4]

n

##### Solution
2
Discuss

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is

• 1] 3200
• 2] 1600
• 3] 200
• 4] 2800
##### Solution
3
Discuss

Which term of the A.P. 24, 21, 18, ............ is the first negative term?

• 1] 8th
• 2] 9th
• 3] 10th
• 4] 12th
##### Solution
4
Discuss

If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

• 1] 36
• 2] 18
• 3] 54
• 4] 24
• 5] 27
##### Solution
5
Discuss

If the sums of n terms of two arithmetic progressions are in the ratio $$\frac{{3n + 5}}{{5n + 7}}$$   then their nth terms are in the ration

• 1]

$$\frac{{3n - 1}}{{5n - 1}}$$

• 2]

$$\frac{{3n + 1}}{{5n + 1}}$$

• 3]

$$\frac{{5n + 1}}{{3n + 1}}$$

• 4]

$$\frac{{5n - 1}}{{3n - 1}}$$

##### Solution
6
Discuss

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

• 1]

897

• 2]

1,64,850

• 3]

1,64,749

• 4]

1,49,700

##### Solution
7
Discuss

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

• 1] 53
• 2] 49
• 3] 57
• 4] 61
##### Solution
8
Discuss

Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn

• 1]

5(10n - 1)

• 2]

5n(10n - 1)

• 3]

5/9×(10n−1)

• 4]

(5/9)n×(10n−1)

##### Solution
9
Discuss

Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is

• 1] 11
• 2] 3
• 3] 8
• 4] 5
##### Solution
10
Discuss

The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its

• 1] 24th term
• 2] 27th term
• 3] 26th term
• 4] 25th term
# Quiz