Recent questions tagged equations

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1

NIELIT 2019 Feb Scientist D - Section D: 4
If $P$\left (x, y \right)$ is any point on the line joining the points $A$\left (a, 0 \right)$ and $B$\left(0, b \right)$ then the value of $bx+ay-ab$ is : $1$ $-1$ $0$ $2$

If $P$\left (x, y \right)$ is any point on the line joining the points $A$\left (a, 0 \right)$ and $B$\left(0, b \right)$ then the value of $bx+ay-ab$ is : $1$ $-1$ $0$ $2$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 124 views

1 vote

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2

NIELIT 2019 Feb Scientist D - Section D: 6
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$

If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 133 views

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1 answer

3

NIELIT 2019 Feb Scientist D - Section D: 30
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$

Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 109 views

1 vote

1 answer

4

NIELIT 2019 Feb Scientist C - Section D: 19
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$

If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 127 views

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5

NIELIT 2019 Feb Scientist C - Section D: 18
If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is: $44$ $42$ $33$ $55$

If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is: $44$ $42$ $33$ $55$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 61 views

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6

NIELIT 2019 Feb Scientist C - Section D: 25
If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is: $20$ $16$ $8$ $0$

If $x+y+z=2, \:\: xy+yz+zx=-1$ then the value of $x^{3}+y^{3}+z^{3}$ is: $20$ $16$ $8$ $0$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 106 views

1 vote

1 answer

7

CAT 2010-12
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$

For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$

asked Mar 1, 2020 in Quantitative Aptitude Arjun 8.1k points 211 views

1 vote

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8

CAT1995-67
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$? $1 < a < 3$ $a < 0$ and $a < 3$ $a < 0$ and $a < 3$ $a < 0$ or $a < 3$

Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$? $1 < a < 3$ $a < 0$ and $a < 3$ $a < 0$ and $a < 3$ $a < 0$ or $a < 3$

asked Aug 29, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 154 views

1 vote

0 answers

9

CAT1995-66
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of a is $me(a^{2} – 3a, a – 3) < 0$? $a < 3$ and $a < 1$ $1 < a < 3$ $a < 3$ or $a < 1$ $a < 3$ or $a < 0$

Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) For what values of a is $me(a^{2} – 3a, a – 3) < 0$? $a < 3$ and $a < 1$ $1 < a < 3$ $a < 3$ or $a < 1$ $a < 3$ or $a < 0$

asked Aug 29, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 103 views

1 vote

0 answers

10

CAT1995-65
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Which of the following must be correct? mo(le(a, b)$^{3}$ (me(mo(a), mo(b)) mo(le(a, b)) > (me(mo(a), mo(b)) mo(le(a, b)) < (le(mo(a), mo(b)) mo(le(a, b)) le(mo(a), mo(b))

Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Which of the following must be correct? mo(le(a, b)$^{3}$ (me(mo(a), mo(b)) mo(le(a, b)) > (me(mo(a), mo(b)) mo(le(a, b)) < (le(mo(a), mo(b)) mo(le(a, b)) le(mo(a), mo(b))

asked Aug 29, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 128 views

1 vote

0 answers

11

CAT1995-64
Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$

Refer to the following data: le(x, y) = | least of(x, y) mo(x) = |x| me(x) (x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$

asked Aug 29, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 103 views

1 vote

1 answer

12

CAT1995-55
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$

What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$

asked Aug 28, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 193 views

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