RK JHA Solutions for Chapter: Data Interpretation and Quantitative Ability, Exercise 13: Solved Paper 2008

For each $\mathrm{p}>1,\text{ a }$ sequence $\left\{{\mathrm{A}}_{\mathrm{n}}\right\}$ is defined by ${\mathrm{A}}_0=1$and ${\mathrm{A}}_{\mathrm{n}}=\mathrm{pn}+(-1{)}^{\mathrm{n}}{\mathrm{A}}_{\mathrm{n}-1}$ for each $\mathrm{n}>1$ For how many integer values of $\mathrm{p}, 1000$ is a term of the sequence?

values of $\mathrm{p}, 1000$ is a term of the sequence?

If $0<\mathrm{p}<1$then roots of the equation$(1-\mathrm{p}){\mathrm{x}}^2+4\mathrm{x}+\mathrm{p}=0$are .........?

Consider a sequence $-6,-12,18,24,-30,-36,42,\dots \dots$ If sum of the first $n$ terms of the sequence is $132$, then the value of n is

A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling for C hours A minutes (Clock shows time from $0$hours to $24$hours). Number of possible value(s) of A is ............

Directions : In these questions one statement is followed by three conclusions. Select the appropriate answer from the options given below

A, B, C be real numbers satisfying$\mathrm{A}<\mathrm{B}<\mathrm{C}, \mathrm{A}+\mathrm{B}+\mathrm{C}=6$ and$\mathrm{A} \mathrm{B}+\mathrm{B} \mathrm{C}+\mathrm{C} \mathrm{A}=9$

Conclusion I.$1<\mathrm{B}<3$

Conclusion II.$2<\mathrm{A}<3$

Conclusion III.$0<\mathrm{C}<1$

The coordinates of P and Q are $(0,4)$ and$(\mathrm{a}, 6)$, respectively. R is the mid-point of P Q. The perpendicular bisector of P Q cuts X-axis at point $\mathrm{S}(\mathrm{b}, 0)$. For how many integer value (s) of  a, b is an integer?

Directions: These questions are followed by two statements labelled as I and II. You have to decide, if these statements are sufficient to conclusively answer the questions. Choose the appropriate answer from options given below.

The base of a triangle is $60 \mathrm{cm}$ and one of the base angles is $60$. What is the length of the shortest side of the triangle?

I. The sum of lengths of other two sides is $80 \mathrm{cm}$

II. The other base angle is $45$

Directions: These questions are followed by two statements labelled as I and II. You have to decide, if these statements are sufficient to conclusively answer the questions. Choose the appropriate answer from options given below.

A, B, C, D, E and F are six integers such that $\mathrm{E}<\mathrm{F}, \mathrm{B}>\mathrm{A}, \mathrm{A}<\mathrm{D}<\mathrm{B} . \mathrm{C}$ is the greatest integer. Is A the smallest integer ?

$$\begin{gathered} \mathrm{I}. \mathrm{E}+\mathrm{B}<\mathrm{A}+\mathrm{D} \\ \mathrm{II}. \mathrm{D}<\mathrm{F} \end{gathered}$$