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CAT

IMPORTANT

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Consider three numbers in an $AP$ . Which of the following will definitely divide the sum of the cubes of all the three numbers?

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Important Questions on X+2 Maths

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 38

My neighbour, Mr Makrant Chatpatia, is a nice person. Last night he hosted a party for me. He told me that he would retire next year. He also added that when he joined his firm he was

19

years old and his basic salary was

₹ 100

and after every two years there was an increase of

₹ 60

. What must be the basic salary of Mr Chatpatia now, if the age of retirement is

60

years?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 39

Given is

54 + 51 + 48 + \dots

till

n

terms

= 513

. How many values of '

n

' are possible?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 40

If in any decreasing AP, the sum of all its terms, except for the first term is equal to $- 36$ , the sum of all its terms, except the last term, is equal to zero, and the difference of the tenth and the sixth term is equal to $- 16$ , then what is the first term of this series?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 1

A group of friends have some money that was in an increasing GP. The total money with the first and the last friend was

₹ 66

and the product of the money that the second friend had and that the last but one friend had was

₹ 128

. If the total money with all of them together was

₹ 126

, then how many friends were there?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 2

If the sum of the

10^{th}, 20 {th}^{}

, and

30^{th}

terms of an AP is equal to the

58^{th}

term, what is the ratio of the sum of the

10^{th}, 20^{th}

, and 30th terms to the sum of the

5^{th}, 10^{th}

and

15^{th}

terms; when the common difference

\neq 0

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 3

Corresponding terms of two arithmetic progressions (AP) are multiplied. As a result, we obtain the following sequence

1440, 1716, 1848, \dots

. What is the 8 th term of this sequence?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 4

a, b, c

, and

d

are non-zero real numbers such that

(a^{2} + b^{2} + c^{2}) (b^{2} + c^{2} + d^{2}) \leq (ab + bc + cd)^{2}

, then

a, b, c

, and

d

are in:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 5

\log (\frac{5 c}{a}), \log (\frac{3 b}{5 c}) & log (\frac{a}{3 b})

are in

AP

, where

a, b, c

are in

GP

, then

a, b, c

are the lengths of the sides of

Consider three numbers in an AP. Which of the following will definitely divide the sum of the cubes of all the three numbers?

Important Questions on X+2 Maths

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Consider three numbers in an $AP$ . Which of the following will definitely divide the sum of the cubes of all the three numbers?