If the function $f(x)$ is increasing at $x=a$, then which is the correct option from the following?
- A$f^{\prime}(a)<0$
- ✓$f^{\prime}($ a) $>0$
- C$f^{\prime}( a )=0$
- D$f^{\prime \prime}$ (a) $>0$
Answer: B.
View full solution →50 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.
MCQ
10 Q→021 Marks Each
10 Q→032 Marks Each
12 Q→043 Marks Each
10 Q→054 Marks Each
4 Q→065 Mark Each
4 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Answer: B.
View full solution →Answer: A.
View full solution →Answer: A.
View full solution →Answer: C.
View full solution →Answer: A.
View full solution →| $X = x$ | $0$ | $1$ | $2$ | Total |
| $P(x)$ | $\frac{1}{9}$ | $\frac{4}{9}$ | $\frac{4}{9}$ | $1$ |
| Year | $2009-10$ | $2010-11$ | $2011-12$ | $2012-13$ | $2013-14$ | $2014-15$ |
| Production $($Crore tons$)$ |
$29.2$ | $34.2$ | $35.4$ | $36.4$ | $33.6$ | $37.7$ |
| month | Jan. | Feb. | Mar. | April | may | June | July | Aug. | Sept. | Oct. |
| Share Price ₹ |
$176$ | $173$ | $165$ | $168$ | $167$ | $160$ | $163$ | $167$ | $165$ | $166$ |
| Consumption of fertilizer $(10\ kg ) x$ | $28$ | $35$ | $25$ | $24$ | $20$ | $25$ | $20$ |
| Yield of cotton per hectare $($Quintals$) y$ | $128$ | $140$ | $115$ | $120$ | $105$ | $122$ | $100$ |
| Marks in Accountantancy | $60$ | $80$ | $50$ | $80$ | $95$ | $40$ | $70$ | $40$ | $35$ | $90$ |
| Marks in Statistics | $50$ | $75$ | $60$ | $85$ | $90$ | $40$ | $65$ | $30$ | $465$ | $70$ |
| Item | Year $2015$ | Year $2017$ | ||
| Total Expenditure (₹) |
Consumption (Quantity) |
Total Expenditure (₹) |
Consumption (Quantity) |
|
| $A$ | $360$ | $60 \ kg$ | $375$ | $25 \ kg.$ |
| $B$ | $160$ | $10$ litre | $416$ | $20$ litre |
| $C$ | $480$ | $15 \ kg.$ | $613.2$ | $6 \ kg.$ |
| $D$ | $336$ | $3 \ kg.$ | $400$ | $2.5 \ kg.$ |
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