MCQOPTIONS
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MCQOPTIONS
This section includes 92 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The value of $${\left( {\frac{{32}}{{243}}} \right)^{ - \frac{4}{5}}}$$is = ? |
| A. | $\frac{4}{9}$$ |
| B. | $\frac{9}{4}$$ |
| C. | $\frac{{16}}{{81}}$$ |
| D. | $\frac{{81}}{{16}}$$ |
| Answer» E. | |
| 52. |
Given $$\sqrt 2 $$ = 1.414, the value of $$\sqrt 8 $$ $$\, + $$ $${\text{2}}\sqrt {32} $$ $$\, - $$ $$3\sqrt {128} $$ $$\,\, + $$ $${\text{4}}\sqrt {50} $$is = ? |
| A. | 0.484 |
| B. | 0.526 |
| C. | 0.426 |
| D. | 0.876 |
| Answer» B. 0.526 | |
| 53. |
Simplify : $$\frac{{16 \times 32}}{{9 \times 27 \times 81}} = ?$$ |
| A. | ${\left( {\frac{2}{3}} \right)^9}$$ |
| B. | ${\left( {\frac{2}{3}} \right)^{11}}$$ |
| C. | ${\left( {\frac{2}{3}} \right)^{12}}$$ |
| D. | ${\left( {\frac{2}{3}} \right)^{13}}$$ |
| E. | one of these |
| Answer» B. ${\left( {\frac{2}{3}} \right)^{11}}$$ | |
| 54. |
Simplify : $$\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$$ |
| A. | $\frac{{{7^5}}}{{{6^7}}}$$ |
| B. | $\frac{{{7^5}}}{{{6^8}}}$$ |
| C. | $\frac{{{7^6}}}{{{6^7}}}$$ |
| D. | $\frac{{{7^4}}}{{{6^8}}}$$ |
| E. | one of these |
| Answer» B. $\frac{{{7^5}}}{{{6^8}}}$$ | |
| 55. |
Simplify : (3)8 × (3)4 = ? |
| A. | 27)3 |
| B. | 27)5 |
| C. | 729)2 |
| D. | 729)3 |
| E. | one of these |
| Answer» D. 729)3 | |
| 56. |
If 310 × 272 = 92 × 3n then the value of n is = ? |
| A. | 0 |
| B. | 2 |
| C. | 5 |
| D. | 0 |
| Answer» C. 5 | |
| 57. |
Simplify : $$\frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} = ?$$ |
| A. | 0.28 |
| B. | 0.41 |
| C. | 0.1 |
| D. | 0.8 |
| Answer» D. 0.8 | |
| 58. |
(1000)12 ÷ (10)30 = ? |
| A. | 1000)2 |
| B. | 0 |
| C. | 00 |
| D. | 100)12 |
| E. | one of these |
| Answer» B. 0 | |
| 59. |
(64)4 ÷ (8)5 = ? |
| A. | 8)8 |
| B. | 8)2 |
| C. | 8)12 |
| D. | 8)4 |
| E. | one of these |
| Answer» F. | |
| 60. |
The value of $$\sqrt {\frac{{\left( {\sqrt {12}- \sqrt 8 } \right)\left( {\sqrt 3+ \sqrt 2 } \right)}}{{5 + \sqrt {24} }}} $$is = ? |
| A. | $\sqrt 6- \sqrt 2 $$ |
| B. | $\sqrt 6+ \sqrt 2 $$ |
| C. | $\sqrt 6- 2$$ |
| D. | ${\text{2}} - \sqrt 6 $$ |
| Answer» D. ${\text{2}} - \sqrt 6 $$ | |
| 61. |
$$\left({\frac{{2+\sqrt 3}}{{2-\sqrt3}}+ \frac{{2 - \sqrt 3}}{{2 + \sqrt 3}} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$Simplifies to : |
| A. | - $$\sqrt 3 $$ |
| B. | + $$\sqrt 3 $$ |
| C. | 6 - $$\sqrt 3 $$ |
| D. | 0 - $$\sqrt 3 $$ |
| Answer» D. 0 - $$\sqrt 3 $$ | |
| 62. |
93 × 62 ÷ 33 = ? |
| A. | 48 |
| B. | 72 |
| C. | 84 |
| D. | 012 |
| E. | one of these |
| Answer» C. 84 | |
| 63. |
$$\left[ {{4^3} \times {5^4}} \right] \div {4^5} = ?$$ |
| A. | 9.0825 |
| B. | 0.0925 |
| C. | 5.6015 |
| D. | 9.0625 |
| E. | one of these |
| Answer» E. one of these | |
| 64. |
The value of $$\left( {\frac{{{9^2} \times {{18}^4}}}{{{3^{16}}}}} \right)$$is = ? |
| A. | $\frac{3}{2}$$ |
| B. | $\frac{4}{9}$$ |
| C. | $\frac{{16}}{{81}}$$ |
| D. | $\frac{{32}}{{243}}$$ |
| Answer» D. $\frac{{32}}{{243}}$$ | |
| 65. |
($$\sqrt 8$$ - $$\sqrt 4 $$ - $$\sqrt 2 $$) Equals to = ? |
| A. | - $$\sqrt 2 $$ |
| B. | $\sqrt 2 $$ - 2 |
| C. | |
| Answer» C. | |
| 66. |
(25)7.5 × (5)2.5 ÷ (125)1.5 = 5? |
| A. | 0.5 |
| B. | 3 |
| C. | 6 |
| D. | 7.5 |
| E. | one of these |
| Answer» C. 6 | |
| 67. |
The value of [(10)150 ÷ (10)146] |
| A. | 000 |
| B. | 0000 |
| C. | 00000 |
| D. | 06 |
| E. | one of these |
| Answer» C. 00000 | |
| 68. |
If $${\left( {\frac{3}{5}} \right)^3}{\left( {\frac{3}{5}} \right)^{ - 6}} = {\left( {\frac{3}{5}} \right)^{2x - 1}}$$then x is equal to ? |
| A. | 2 |
| B. | 1 |
| Answer» C. | |
| 69. |
Given that $$\sqrt 5 $$ = 2.236 and $$\sqrt 3 $$ = 1.732, then the value of$$\frac{1}{{\sqrt 5+ \sqrt 3 }}{\text{ is=?}}$$ |
| A. | 0.564 |
| B. | 0.504 |
| C. | 0.252 |
| D. | 0.202 |
| Answer» D. 0.202 | |
| 70. |
$$\left( {\frac{1}{{1.4}} + \frac{1}{{4.7}} + \frac{1}{{7.10}} + \frac{1}{{10.13}} + \frac{1}{{13.16}}} \right)$$is equal to = ? |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{5}{{16}}$$ |
| C. | $\frac{3}{8}$$ |
| D. | $\frac{{41}}{{7280}}$$ |
| Answer» C. $\frac{3}{8}$$ | |
| 71. |
$${\text{If 1}}{{\text{0}}^x}{\text{ = }}\frac{1}{2}{\text{ then 1}}{{\text{0}}^{ - 8x}} = ?$$ |
| A. | $\frac{1}{{256}}$$ |
| B. | 6 |
| C. | 0 |
| D. | 56 |
| Answer» E. | |
| 72. |
$${\left( {48} \right)^{ - \frac{2}{7}}} \times {\left( {16} \right)^{ - \frac{5}{7}}} \times {\left( 3 \right)^{ - \frac{5}{7}}} = ?$$ |
| A. | $\frac{1}{3}$$ |
| B. | $\frac{1}{{48}}$$ |
| C. | |
| Answer» C. | |
| 73. |
The value of $$\frac{1}{{{{\left( {216} \right)}^{ - \frac{2}{3}}}}}{\text{ + }}$$$$\frac{1}{{{{\left( {256} \right)}^{ - \frac{3}{4}}}}}{\text{ + }}$$$$\frac{1}{{{{\left( {32} \right)}^{ - \frac{1}{5}}}}}$$is = ? |
| A. | 02 |
| B. | 05 |
| C. | 07 |
| D. | 09 |
| Answer» B. 05 | |
| 74. |
$$\frac{{12}}{{3 + \sqrt 5+ 2\sqrt 2 }}$$is equal to = ? |
| A. | ${\text{1}} - \sqrt 5+ \sqrt 2+ \sqrt {16} $$ |
| B. | ${\text{1}} + \sqrt 5+ \sqrt 2- \sqrt {10} $$ |
| C. | ${\text{1}} + \sqrt 5+ \sqrt 2+ \sqrt {10} $$ |
| D. | ${\text{1}} - \sqrt 5- \sqrt 2+ \sqrt {10} $$ |
| Answer» C. ${\text{1}} + \sqrt 5+ \sqrt 2+ \sqrt {10} $$ | |
| 75. |
If $$a = \frac{{\sqrt 5+ 1}}{{\sqrt 5- 1}}$$and $$b{\text{= }}\frac{{\sqrt 5- 1}}{{\sqrt 5+ 1}}$$then the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$is = ? |
| A. | $\frac{3}{4}$$ |
| B. | $\frac{4}{3}$$ |
| C. | $\frac{3}{5}$$ |
| D. | $\frac{5}{3}$$ |
| Answer» C. $\frac{3}{5}$$ | |
| 76. |
$$\frac{{{2^{n + 4}} - 2\left( {{2^n}} \right)}}{{2\left( {{2^{n + 3}}} \right)}}$$when simplified is = ? |
| A. | ${{\text{2}}^{n + 1}} - \frac{1}{8}$$ |
| B. | 2(n+1) |
| C. | - 2n |
| D. | $\frac{7}{8}$$ |
| Answer» E. | |
| 77. |
If $${{\text{5}}^{\left( {x + 3} \right)}}{\text{ =2}}{{\text{5}}^{(3x - 4)}}$$then the value of x is = ? |
| A. | $\frac{5}{{11}}$$ |
| B. | $\frac{{11}}{5}$$ |
| C. | $\frac{{11}}{3}$$ |
| D. | $\frac{{13}}{5}$$ |
| Answer» C. $\frac{{11}}{3}$$ | |
| 78. |
What will come in place of both the question marks in the following question :$$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$ |
| A. | 0 |
| B. | ${\text{10}}\sqrt 2 $$ |
| C. | $\sqrt {20} $$ |
| D. | 0 |
| E. | 10 |
| Answer» F. | |
| 79. |
Simplify : $$\frac{1}{{\sqrt 3+ \sqrt 4 }} \,+ $$$$\frac{1}{{\sqrt 4+ \sqrt 5 }} \,+ $$$$\frac{1}{{\sqrt 5+ \sqrt 6 }} \,+ $$$$\frac{1}{{\sqrt 6+ \sqrt 7 }} \,+ $$$$\frac{1}{{\sqrt 7+ \sqrt 8 }}\, + $$$$\frac{1}{{\sqrt 8+ \sqrt 9 }} = ?$$ |
| A. | $\sqrt 3 $$ |
| B. | $3\sqrt 3 $$ |
| C. | $3 - \sqrt 3 $$ |
| D. | $5 - \sqrt 3 $$ |
| Answer» D. $5 - \sqrt 3 $$ | |
| 80. |
The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } }= ?$$ |
| A. | ${2^{\frac{{29}}{{31}}}}$$ |
| B. | ${2^{\frac{{31}}{{32}}}}$$ |
| C. | ${2^{\frac{9}{2}}}$$ |
| D. | ${2^{\frac{{11}}{2}}}$$ |
| Answer» C. ${2^{\frac{9}{2}}}$$ | |
| 81. |
If 5a = 3125, then the value of 5(a - 3) is: |
| A. | 5 |
| B. | 25 |
| C. | 25 |
| D. | 625 |
| Answer» B. 25 | |
| 82. |
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to: |
| A. | 0.45 |
| B. | 0.88 |
| C. | 0.9 |
| D. | 0.7 |
| Answer» D. 0.7 | |
| 83. |
(17)3.5 × (17)? = 178 |
| A. | 0.29 |
| B. | 0.75 |
| C. | 0.25 |
| D. | 0.5 |
| Answer» E. | |
| 84. |
If m and n are whole numbers such that m^n = 121, the value of (m - 1)^(n + 1) is: |
| A. | 1 |
| B. | 10 |
| C. | 121 |
| D. | 1000 |
| Answer» E. | |
| 85. |
(0.04)^-1.5 = ? |
| A. | 25 |
| B. | 125 |
| C. | 250 |
| D. | 625 |
| Answer» C. 250 | |
| 86. |
(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5^? |
| A. | 8.5 |
| B. | 13 |
| C. | 16 |
| D. | 17.5 |
| Answer» C. 16 | |
| 87. |
The value of [(10)^150 ÷ (10)^146] |
| A. | 1000 |
| B. | 10000 |
| C. | 100000 |
| D. | 106 |
| Answer» C. 100000 | |
| 88. |
(17)^3.5 x (17)? = 17^8 |
| A. | 2.29 |
| B. | 2.75 |
| C. | 4.25 |
| D. | 4.5 |
| Answer» E. | |
| 89. |
(256)^0.16 x (256)^0.09 = ? |
| A. | 4 |
| B. | 16 |
| C. | 64 |
| D. | 256.25 |
| Answer» B. 16 | |
| 90. |
If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to: |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 91. |
Given that 10^(0.48) = x, 10^(0.70) = y and x^z = y^2, then the value of z is close to: |
| A. | 1.45 |
| B. | 1.88 |
| C. | 2.9 |
| D. | 3.7 |
| Answer» D. 3.7 | |
| 92. |
If 5^a = 3125, then the value of 5^(a - 3) is: |
| A. | 25 |
| B. | 125 |
| C. | 625 |
| D. | 1625 |
| Answer» B. 125 | |