WB JEE 2026 | Probability Question 12 | Mathematics

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

If ' $a$ ' is an integer lying in $[-5,30]$, then the probability that the graph of $y=x^2+2(a+4) x-5 a+64$ lies above the $x-$ axis is

$\frac{1}{6}$

$\frac{7}{36}$

$\frac{2}{9}$

$\frac{3}{5}$

WB JEE 2026

MCQ (Single Correct Answer)

-0.5

Four natural numbers selected at random are multiplied together, then the probability that the digit in the unit's place in the product be $1,3,7$ or 9 is

$\frac{16}{625}$

$\frac{18}{625}$

$\frac{4}{625}$

$\frac{5}{625}$

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals

$\frac{2}{7}$

$\frac{3}{35}$

$\frac{1}{70}$

$\frac{1}{7}$

WB JEE 2025

MCQ (Single Correct Answer)

-0.5

The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is

$\frac{1}{7}$

$\frac{2}{7}$

$1$

$\frac{2}{365}$

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