### Geometric Progressions

Second term of a GP is 1000 and the common ratio is where n is a natural number. P

_{n}is the product of n terms of this GP. P_{6}> P_{5}and P_{6}> P_{7}, what is the sum of all possible values of n?- 4
- 9
- 5
- 13

**Correct Answer**Choice (B): 9 Correct answer- Explanatory Answer
- Counting and Progressions
- Hard

### GP: Common Ratio

Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?

- 92
- -92
- 46
- 231

**Correct Answer**Choice (A).

92 Correct answer- Explanatory Answer
- Common Ratio
- Medium

### AP: Sum up to 'n' Terms

Sum of first 25 terms in AP is 525, sum of the next 25 terms is 725, what is the common difference?

**Correct Answer**Choice (A) Correct answer- Explanatory Answer
- Common Difference
- Medium

### AP: Common Difference

Let the n

^{th}term of AP be defined as t_{n}, and sum up to 'n' terms be defined as S_{n}. If |t_{8}| = |t_{16}| and t_{3}is not equal to t_{7}, what is S_{23}?- 23(t
_{16}- t_{8}) - 0
- 23t
_{11} - Cannot be determined

**Correct Answer**Choice (B): 0 Correct answer- Explanatory Answer
- Sum up to 'n' Terms
- Medium

- 23(t
### AP: Mean

a, b, c, d and e are 5 distinct numbers that from an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b anc c. Which of the following statements are true?

i. Average of all 5 terms put together is c.

ii. Average of d and e is not greater than average of a and b.

iii. Average of b and c is greater than average of a and d.- i and ii only
- ii and iii only
- all three statements are true
- i and iii only

**Correct Answer**Choice (A).

i and ii only Correct answer- Explanatory Answer
- AP Puzzle
- Medium

### GP Median

Consider a, b, c in a G.P. such that |a + b + c| = 15. The median of these three terms is a, and b = 10. If a > c, what is the product of the first 4 terms of this G.P.?

- 40000
- 32000
- 8000
- 48000

**Correct Answer**Choice (A).

40000 Correct answer- Explanatory Answer
- GP Logical Puzzle
- Medium

### Arithmetic Progression

If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?

- 7 times the 13th term
- 0
- 13 times the 7th term
- 4 times the 4th term + 9 times the 9th term

**Correct Answer**Choice (B).

0 Correct answer- Explanatory Answer
- Arithmetic Progression
- Medium

### Arithmetic Progression

Sequence P is defined by p

_{n}= p_{n-1}+ 3, p_{1}= 11, Sequence Q is defined as q_{n}= q_{n-1}– 4, q_{3}= 103. If p_{k}> q_{k+2}, what is the smallest value k can take?- 6
- 11
- 14
- 15

**Correct Answer**Choice (D).

15 Correct answer- Explanatory Answer
- Arithmetic Progression
- Easy

### Arithmetic Progression

The sum of 2n terms of A.P. {1, 5, 9, 13…..} is greater than sum of n terms of A.P. = {56, 58, 60..…}. What is the smallest value n can take?

- 9
- 10
- 12
- 14

**Correct Answer**Choice (A).

9 Correct answer- Explanatory Answer
- Arithmetic Progression
- Medium

### Arithmetic Progression

a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?

- They are also in A.P.
- They are also in H.P.
- They are also in G.P.
- They are not in an A.P., G.P. or H.P.

**Correct Answer**Choice (B).

They are also in H.P. Correct answer- Explanatory Answer
- Arithmetic Progression
- Medium

### Arithmetic Progression

Second term in an AP is 8 and the 8th term is 2 more than thrice the second term. Find the sum up to 8 terms of this AP.

- 124
- 108
- 96
- 110

**Correct Answer**Choice (A).

124 Correct answer- Explanatory Answer
- Arithmetic Progression
- Medium

### Sum of infinite terms

If , where denotes the sum of the first n terms of a series and = 291, then m is equal to?

- 24
- 30
- 26
- 20

**Correct Answer**Choice (B).

30 Correct answer- Explanatory Answer
- Sum of infinite terms
- Medium

### Sum of infinite terms

Sum of infinite terms of a GP is 12. If the first term is 8, what is the 4th term of this GP?

**Correct Answer**Choice (A). Correct answer- Explanatory Answer
- Sum of infinite terms
- Medium

### Sum of a Sequence

Find sum :

- 6530
- 3600
- 2850
- 3850

**Correct Answer**Choice (D).

3850 Correct answer- Explanatory Answer
- Sum of a Sequence
- Medium

- 6530
### Ratio of Amounts

The salaries earned by two friends Anil and Jeetu in different years are in A.P. If the ratio of the amount earned by them in ‘p’ number of years are (4p+1) : (2p+17). Then find the ratio of amount earned by them in the 7

^{th}year.- (2p+1) : (4p+6)
- 53 : 43
- 4 : 7
- 15p : 36p

**Correct Answer**Choice (B).

53:43 Correct answer- Explanatory Answer
- Ratio of Amounts
- Hard

### Investments

Ram invests a total sum of 2000 rupees on government bonds in 4 years. If these investments are in A.P and the sum of squares of the investments is 1200000. Find the investment made by ram in each year respectively. It is also known that he always invest more than the previous year.

- 200,400,600,800
- 875,625,375,125
- 125,375,625,875
- 50,350,650,950

**Correct Answer**Choice (A).

200,400,600,800 Correct answer- Explanatory Answer
- Arithmetic Progressions
- Medium

### Total Amount

Ram invest different amounts during the year on shares. S

_{1}, S_{2}, S_{3}……….S_{m}are different sums of ‘n’ amounts invested in ‘m’ years. If the amounts invested during the years are in A.P whose first terms are 1,2,3…..m and common difference are 1,3,5…..,(2m-1) respectively then find the total amount invested by Ram in ‘m’ years.- n(m+1)
- m+1
- (mn+1)
- cannot be determined

**Correct Answer**Choice (C).

Correct answer- Explanatory Answer
- Arithmetic Progressions
- Hard

### Sum of Series

Find the sum of the series .4 + .44 + .444……. to n terms

- 5.69
- 14.44

**Correct Answer**Choice (C).

Correct answer- Explanatory Answer
- Sequence and Series
- Hard

### Type of Progression

If the equation px

^{2}+ 2qx + r = 0 and dx^{2}+ 2ex + f = 0 have a common root, then in which type of progression is- are in G.P
- are in A.P
- are in H.P
- Insufficient Data

**Correct Answer**Choice (B).

Correct answer- Explanatory Answer
- A.P, G.P and H.P
- Medium

### Sum of all Terms

Find the sum of all the terms, If the first 3 terms among 4 positive integers are in A.P and the last 3 terms are in G.P. Moreover the difference between the first and last term is 40.

- 108
- 172
- 124
- 196

**Correct Answer**Choice (B).

Correct answer- Explanatory Answer
- A.P, G.P
- Hard

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- Percents Profits & Interests
- DI - Bar Graphs
- Geometry
- VA - Sentence Rearrangement
- Speed Time Races
- DI - Pie Charts
- Coordinate Geometry
- VA - Sentence Elimination
- Ratio Mixtures, Averages
- DI - Multiple Graphs
- Trigonometry
- VA - Sentence Correction
- Logarithms and Exponents
- DI - Word Problems
- Mensuration
- VA - Para Completion
- Pipes Cisterns
- DI - Line Graphs
- Permutation; Probability
- VA - Text Completion