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MCQOPTIONS
This section includes 3977 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1951. |
Q: If $$ {y\over x-z}={y+x\over z}={x\over y}$$ the find x:y:z is? |
| A. | 01:02:03 |
| B. | 03:02:01 |
| C. | 04:02:03 |
| D. | 02:04:07 |
| Answer» D. 02:04:07 | |
| 1952. |
Q: If $$ {y\over {x-3}}={y+x\over 3}={x\over y}$$ then 3 : y : x equal to : |
| A. | 03:02:01 |
| B. | 04:02:03 |
| C. | 03:02:04 |
| D. | 03:04:02 |
| Answer» D. 03:04:02 | |
| 1953. |
Q: If $$ {y={2x-1\over x+3}}$$ find x when y=1 |
| A. | 4 |
| B. | -4 |
| C. | 2021-02-03 00:00:00 |
| D. | 2021-03-04 00:00:00 |
| Answer» B. -4 | |
| 1954. |
Q: If xy(x+y)=1, then $$ {1\over x^3 y^3}-{x^3-y^3}$$ is equal to- |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | -2 |
| Answer» D. -2 | |
| 1955. |
Q: If $$ \ {xy\over x+y}= a, $$ $${xz\over x+z}=b $$ and $$ {yz\over y+z} =c $$ where a, b, c are all non – zero numbers, then x equals to |
| A. | $$ 2abc\over {ab+bc-ac} $$ |
| B. | $$ 2abc\over {ab+ac-ac} $$ |
| C. | $$ 2abc\over {ac+bc-ab} $$ |
| D. | $$ 2abc\over {ac+bc-ac} $$ |
| Answer» D. $$ 2abc\over {ac+bc-ac} $$ | |
| 1956. |
Q: If x4+2x3+ax2+bx+9 is a perfect square where a and b are positive real numbers, then the value of a and b |
| A. | a = 5, b = 6 |
| B. | a = 6, b = 7 |
| C. | a = 7, b = 7 |
| D. | a = 7, b = 8 |
| Answer» C. a = 7, b = 7 | |
| 1957. |
Q: If x2+y2-4x-4y+8=0, then the value of x-y is: |
| A. | 0 |
| B. | 8 |
| C. | 4 |
| D. | -4 |
| Answer» B. 8 | |
| 1958. |
Q: If x2+y2+z2 = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | -1 |
| Answer» C. 0 | |
| 1959. |
Q: If (x11+1) is divided by (x+1), then the remainder is : |
| A. | 0 |
| B. | 2 |
| C. | 1 |
| D. | 10 |
| Answer» B. 2 | |
| 1960. |
Q: If x1 and x2 are the roots of the equations bx2-ax + log2my=0 such that x12=a2+x22 then evaluate the roots in terms of a and b. |
| A. | $$ {a\over2ab}{(a^{2}+1)},{a\over2ab}{(1-b^{2})}$$ |
| B. | $$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-a^{2})}$$ |
| C. | $$ {a\over2ab}{(b^{2}-1)},{a\over2ab}{(1-b^{2})}$$ |
| D. | $$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-b^{2})}$$ |
| Answer» B. $$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-a^{2})}$$ | |
| 1961. |
Q: If x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then what is the relation between x, y, z we have – |
| A. | $$x^2=xy$$ |
| B. | xyz = 1 |
| C. | $$x^2=xy$$ |
| D. | $$y^2=zx$$ |
| Answer» E. | |
| 1962. |
Q: If x+y+z=22 and xy+yz+zx=35, then what is the value of (x-y)2 +(y-z)2+(z-x)2? |
| A. | 793 |
| B. | 681 |
| C. | 758 |
| D. | 715 |
| Answer» D. 715 | |
| 1963. |
Q: If x + y + z=1, xy+yz+zx=-26 and x3 + y3+z3=151, then what will be the value of xyz? |
| A. | -18 |
| B. | 32 |
| C. | 24 |
| D. | – 30 |
| Answer» D. – 30 | |
| 1964. |
Q: If (x+y+z)=12, xy+yz+zx=44 and xyz=48, then what is the value of x3+y3+z3=? |
| A. | 104 |
| B. | 144 |
| C. | 288 |
| D. | 196 |
| Answer» D. 196 | |
| 1965. |
Q: If $$ ({x+y\over z})=2$$ , then what is the value of $$ [{ {y\over {y-z}}}] +[{ {x\over {x-z}}}]$$. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» D. -1 | |
| 1966. |
Q: If x, y are two positive real number and $$x^{1/3}=y^{1/4}$$, then which of the following relations is true? |
| A. | $$x=y^3$$ |
| B. | $$x^{20}=y^{15}$$ |
| C. | $$x^3=y^4$$ |
| D. | $$x^3=y$$ |
| Answer» C. $$x^3=y^4$$ | |
| 1967. |
Q: If x+ y=90°, then what is the value of $$ {\sqrt{cosx.cosecy-cosx.siny}}$$? |
| A. | cosx |
| B. | sinx |
| C. | $$ {\sqrt{sinx}}$$ |
| D. | $$ {\sqrt{cosx}}$$ |
| Answer» C. $$ {\sqrt{sinx}}$$ | |
| 1968. |
Q: If x - y = 6 and xy = 40, then find $$ {x^2+y^2}$$ |
| A. | 146 |
| B. | 80 |
| C. | 89 |
| D. | 116 |
| Answer» E. | |
| 1969. |
Q: If (x +y) = 6 and x2 + y2 = 20 then find the value of (x - y) 2. |
| A. | 6 |
| B. | 10 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 1970. |
Q: If x - y = 3, then what is the value of x3 - y3-9xy? |
| A. | 18 |
| B. | 27 |
| C. | 3 |
| D. | 9 |
| Answer» C. 3 | |
| 1971. |
Q: If x+y=14: x3+y3=1064, then the value of (x-y)2 is: |
| A. | 81 |
| B. | 36 |
| C. | 100 |
| D. | 64 |
| Answer» C. 100 | |
| 1972. |
Q: If x:y=3:2 then the ratio $$ {2\ x^{2}+3\ y^{2}}:{3\ x^{2}}-{2\ {y^{2}}}$$ is equal to |
| A. | 12:05:00 |
| B. | 06:05:00 |
| C. | 1900-01-01 06:19:00 |
| D. | 05:03:00 |
| Answer» D. 05:03:00 | |
| 1973. |
Q: If x+y=10 and xy=4, then what is the value of x4+y4=? |
| A. | 8432 |
| B. | 8464 |
| C. | 7478 |
| D. | 6218 |
| Answer» B. 8464 | |
| 1974. |
Q: If x + y = 1 and xy (xy – 2) = 12,then the value of x4 + y4 is: |
| A. | 23 |
| B. | 25 |
| C. | 19 |
| D. | 20 |
| Answer» C. 19 | |
| 1975. |
Q: If x tan45° cos30° = sin30° cos45°, then x is equal to - |
| A. | $${1\over\sqrt { 3} \ } $$ |
| B. | $${1\over\sqrt { 6} \ } $$ |
| C. | $${1\over\sqrt { 2} \ } $$ |
| D. | $${2\over\sqrt { 3} \ } $$ |
| Answer» C. $${1\over\sqrt { 2} \ } $$ | |
| 1976. |
Q: If $$ {x^{\sqrt{x}}}={({x{\sqrt{x}}})^{x}}$$, then the find the value of x |
| A. | $$ {3\over4}$$ |
| B. | $$ {3\over5}$$ |
| C. | $$ {9\over4}$$ |
| D. | $$ {7\over4}$$ |
| Answer» D. $$ {7\over4}$$ | |
| 1977. |
Q: If $$ x={\sqrt3\over{2}}$$ then the value of $$ \sqrt{1+x}-\sqrt{1-x}$$ will be |
| A. | 1 |
| B. | 0 |
| C. | $$ \sqrt{3}$$ |
| D. | $$ \sqrt{2}$$ |
| Answer» B. 0 | |
| 1978. |
Q: If $$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$ then the value of $$ {5x^2-5x-1}$$ will be: |
| A. | 0 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 1979. |
Q: If $$x=(\sqrt2+1)^{1\over3} $$, the value of $$(x^3-{1\over {x^3}}) $$ is |
| A. | 0 |
| B. | $$-\sqrt { 2} \ $$ |
| C. | 2 |
| D. | $$3\sqrt { 2} \ $$ |
| Answer» D. $$3\sqrt { 2} \ $$ | |
| 1980. |
Q: If $$ {x\over y}={y\over w}$$ then what is the value of (xy+zw). |
| A. | $$ {(x^{2}+z^{2})(y^{2}+w^{2})}$$ |
| B. | $${(x^{2}{y^{2}+z^{2}w^{2}})}$$ |
| C. | $${(x^{2}{w^{2}+y^{2}z^{2}})}$$ |
| D. | $$ {(x^{2}+w^{2})(y^{2}+z^{2})}$$ |
| Answer» B. $${(x^{2}{y^{2}+z^{2}w^{2}})}$$ | |
| 1981. |
Q: If $$ x=\sqrt{(1.96)}-\sqrt{(0.04)}$$ then the value of x is |
| A. | 1.11 |
| B. | 1.18 |
| C. | 1.2 |
| D. | 1.22 |
| E. | 1.19 |
| Answer» D. 1.22 | |
| 1982. |
Q: If x – y + z = 15, xyz = -216 and xz – xy – yz = 18, then the value of $$ {x^3}-{y^3}+{z^3}=$$ |
| A. | 2613 |
| B. | 2813 |
| C. | 3013 |
| D. | 3213 |
| Answer» E. | |
| 1983. |
Q: If (x + k ) is the common factor of x2 + ax + b and x2 + cx + d , then what is k equal to ? |
| A. | $$ {(d-b)\over {(c-a)}}$$ |
| B. | $$ {(d-b)\over {(a-c)}}$$ |
| C. | $$ {(d+b)\over {(c+a)}}$$ |
| D. | $$ {(d-b)\over {(c+a)}}$$ |
| Answer» B. $$ {(d-b)\over {(a-c)}}$$ | |
| 1984. |
Q: If x is the mean proportional between 20 and 5 and y is the third proportional to 16 and 64, then find the value of x/y. |
| A. | 25.6 |
| B. | 30.4 |
| C. | 25.4 |
| D. | 25.8 |
| Answer» B. 30.4 | |
| 1985. |
Q: If x is real then the minimum value of (x2-x-1) is : |
| A. | 1 |
| B. | $$-{5\over 4}$$ |
| C. | $$3\over 4 $$ |
| D. | 0 |
| Answer» C. $$3\over 4 $$ | |
| 1986. |
Q: If x cos2300. sin600=$${tan^2{45}^0.sec60^0}\over cosec\ 60^0$$ then the value of x : |
| A. | $$ 1\over \sqrt { 3} $$ |
| B. | $$ 2{2\over 3} $$ |
| C. | $$ 1\over \sqrt { 2} $$ |
| D. | $$ {1\over 2} $$ |
| Answer» C. $$ 1\over \sqrt { 2} $$ | |
| 1987. |
Q: If x is less than y by 25% then y exceeds x by : |
| A. | $$ 33{1\over 3}\% $$ |
| B. | 0.25 |
| C. | 0.75 |
| D. | $$ 66{2\over 3}\% $$ |
| Answer» B. 0.25 | |
| 1988. |
Q: If x is added to each of 12, 28, 21 and 45, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 3) and (4x +1)? |
| A. | 15 |
| B. | 18 |
| C. | 10 |
| D. | 12 |
| Answer» B. 18 | |
| 1989. |
Q: If X is 20% less than Y, then find the value of $${Y-X\over Y}$$ and $${X\over X-Y }$$ |
| A. | $${3\over5},-{3\over5}$$ |
| B. | $${1\over5},-4$$ |
| C. | $$5,-{1\over4}$$ |
| D. | $${2\over5},-{5\over2}$$ |
| Answer» C. $$5,-{1\over4}$$ | |
| 1990. |
Q: If x is 80% of y, what percent of x is y? |
| A. | 0.75 |
| B. | 0.8 |
| C. | 1 |
| D. | 1.25 |
| Answer» E. | |
| 1991. |
Q: If X beakers of 100 ml containing 1 : 4 acid-water solution are mixed with Y beakers of 200 ml containing 3:17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19:91 Find X : Y . |
| A. | 05:03:00 |
| B. | 03:05:00 |
| C. | 07:13:00 |
| D. | 13:07:00 |
| Answer» B. 03:05:00 | |
| 1992. |
Q: If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x2+y2-z2+2xy is : |
| A. | a-b+c |
| B. | a+b-c |
| C. | 0 |
| D. | a+b+c |
| Answer» D. a+b+c | |
| 1993. |
Q: If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 +y3 + z3 -3xyz will be |
| A. | 4 (a+b+c) |
| B. | 3 abc |
| C. | a + b + c |
| D. | 0 |
| Answer» E. | |
| 1994. |
Q: If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$. |
| A. | $$ {a^2-{1\over{a^{2}}}}$$ |
| B. | $$ {a^2+{1\over{a^{2}}}}$$ |
| C. | $$ {a+{1\over a}}$$ |
| D. | $$ {a-{1\over a}}$$ |
| Answer» B. $$ {a^2+{1\over{a^{2}}}}$$ | |
| 1995. |
Q: If $$ {x+{9\over x}=6}$$ then find the value of $$ {x^{2}+{1\over x^{3}}}$$ |
| A. | $$ {12{1\over 27}}$$ |
| B. | $$ {9{1\over 27}}$$ |
| C. | $$ {8{1\over 27}}$$ |
| D. | $$ {10{1\over 27}}$$ |
| Answer» C. $$ {8{1\over 27}}$$ | |
| 1996. |
Q: If $$ {x=7-4\sqrt{3}}$$ find the value of $$ {\sqrt{x}+{1\over {\sqrt{x}}}}$$. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 1997. |
Q: If $$ {(x-5)^{2} +{(y-2)^{2}}+{(z-9)^{2}=0}}$$ then what is the value of (x+y-z)? |
| A. | -2 |
| B. | 4 |
| C. | 3 |
| D. | 1 |
| Answer» B. 4 | |
| 1998. |
Q: If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$ |
| A. | $$ {3\over 8}$$ |
| B. | $$ {5\over 8}$$ |
| C. | $$ {3\over 4}$$ |
| D. | $$ {5\over 16 }$$ |
| Answer» C. $$ {3\over 4}$$ | |
| 1999. |
Q: If $$ {x^4}+{1\over{x^4}}$$ then find $$ {x^3}-{1\over{x^3}}=?$$ |
| A. | 80 |
| B. | 79 |
| C. | 78 |
| D. | 76 |
| Answer» E. | |
| 2000. |
Q: If $$ {x+3y-{2z\over 4}}=6$$ , $$ {x+{2\over 3}}(2y+3z)=33$$ and $$ {1\over 7}{(x+y+z)+2z=9}$$, then what is the value of $$ {46x+131y}$$? |
| A. | 364 |
| B. | 414 |
| C. | 384 |
| D. | 464 |
| Answer» C. 384 | |