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progressions Questions

Home > Quantitative Aptitude > progressions > General Questions
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Choose the correct option.

A girl wants to buy a bag. she decides to save her pocket money to buy it. on the first day, she saves Rs.10, and on every subsequent day, she saves Rs.10 more than the money she has saved on the previous day would the girl be able to save Rs.1200 for her bag?


A12th day

B14th day

C13th day

D15th day

Answer: Option D

Explanation:

a=10, d=10, n=? sum=1200

sum= n/2[2a+(n-1)d]
1200=n/2[20+(n-1)10]
2400=n[20+10n-10]
2400=n[10n-10]
2400=10 n^2+10n
10^2+10n-2400=0
n=15 or n=-16
So, n=15th day

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if a1 = 1/(2*5, a2 = 1/(5*8), a3 = 1/(8*11), …. Then a1 + a2 + a3 + …. + a100


A25/151

B1/2

C1/4

D111/55

Answer: Option A

Explanation:

we can write 1/2×5 as

1/3(1/2-1/5) , like this we can form the pattern

1/3(1/2-1/5+1/5-1/8+.........-1/299+1/299-1/302)

=1/3(1/2-1/302)

=25/151


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Let a1, a2, a3n be an arithmetic progression with a1 = 3 and a2 =7. if a1 + a2 + … +a3n = 1830, then what is the smallest positive integer m such that m(a1 + a2 + …. + an) > 1830.


A8

B9

C10

D11

ENone of these

Answer: Option B

Explanation:


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If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is


A2:3

B3:2

C3:4

D4:3

Answer: Option A

Explanation:

Here is no explanation for this answer

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if a, b,c and d are integers such that a+b+c+d=30 then the minimum possible value of (a-b)^2 + (a-c)^2 + (a-d)^2 is


A4

B3

C2

D1

ENone of these

Answer: Option C

Explanation:


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Let a1, a2, a3, a4, a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3. If the sum of the numbers in the new sequence is 450, then a5 is


A45

B53

C51

D61

Answer: Option C

Explanation:

Here is no explanation for this answer

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An infinite geometric progression a1, a2, a3, … has the property that an = 3(an+1 + an+2 + … ) for every n>= 1. If the sum a1 + a2 + a3 + … + = 32, then a5 is


A1/32

B2/32

C3/32

D4/32

Answer: Option C

Explanation:


Workspace

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