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This section includes 154 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
I. 3x2 + 17x + 10 = 0 II. 10y2 + 9y + 2 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 102. |
I.20x2– 119x + 176 = 0 II. 6y3– 13y2– 10y + 24 = 0 3y + 4 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 103. |
I.9x2–24x + 16 = 0 II. 1 – 1 = 5y–2/3 y1/3 y2/3 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 104. |
I. 8x2 – 22x + 12 = 0 II. 15y2 – 19y + 6 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 105. |
I. 76x2 + 29√19x + 52 = 0 II. 35y2 + 8y – 3 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 106. |
I. x3/2– 81 = 0 √x II. 20y2– 119y + 176 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 107. |
I. – (√81– √25) x2 + 60x + 2 (√25 + √16) x = 1 270 II. y = 18 + 0.5y |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» D. if x < y | |
| 108. |
I. 3x3 – 5y3 = 2 √729 II. 2x3 + (332 – 1088) y3 + 92 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 109. |
I. x2 – x = 14√2 – 8 √7 √7 + 2 √2 II. y √14 + 35√2 = 7√2 + 5 √14 y |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 110. |
I. x1/4 × x3/4 × 2401 = 49 × x3 II. 3y2 + 17y + 10 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 111. |
I. 12x2 – 13x + 3 = 0 II. y2 – (729)1/6 y – 4 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 112. |
I. 8x2 + 30x + 27 = 0 II. 14y2 + 43y + 33 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 113. |
I. (x + 22) (x – 22) = – 123 II. y2 – 43y + 462 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 114. |
I. x = 172 – 132 – 112 II. 4y2 – 13y + 9 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 115. |
I. x2 – 4√3x – 36 = 0 II. y2 – 5√2y – 72 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 116. |
I. x2 + 3√2x – 80 = 0 II. y2 – 5√2y – 100 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» F. | |
| 117. |
I. x2 – 12x + 32 = 0 II. 2y2 – 9y + 10 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» B. if x ≥ y | |
| 118. |
I. x3 × 14 = x2 × 98 II. y1/3 × 12 = 108 ÷ y2/3 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» D. if x ≤ y | |
| 119. |
I. 4x2 – (8 + √10)x + 2√10 = 0 II. 2y2 – (4 + 3√11)y + 6√11 = 0 |
| A. | if x > y |
| B. | if x ≥ y |
| C. | if x < y |
| D. | if x ≤ y |
| E. | if x = y or the relation between x and y can't be determined |
| Answer» E. if x = y or the relation between x and y can't be determined | |
| 120. |
I. 4x + 3y = 51 II. x + 4y = 29 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 121. |
I. 6x + y = 25 II. 2x + 3y = 27 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 122. |
I. x2 – 14x + 48 = 0 II. y2 – 9y + 20 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 123. |
I. x = 152 – 63 II. y = 122 – 112 – 14 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 124. |
I. x2 – 9x + 18 = 0 II. y2 – 11y + 18 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 125. |
I. 5x + 9y = 109 II. 3x + 4y = 62 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 126. |
I. 2x2 – 23x + 56 = 0 II. 4y2 – 19y + 12 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 127. |
I. (144)1/2 x + √7396 = 194 II. (729)1/2 y2 – 545 = √16900 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 128. |
I. 2x2 – 19x + 42 = 0 II. 20y2 – 89y + 99 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 129. |
I. 8x2 – 23x + 15 = 0 II. 3y2 + 11y + 8 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 130. |
I. 3x + 5y = 76 II. x + 3y = 36 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 131. |
I. x3 = 73 – 127 II. y = 182 – 315 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 132. |
I. 2x2 – 24x + 70 = 0 II. y2 – 20y + 91 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» C. if x ≥ y | |
| 133. |
I. x2 – 11x + 24 = 0 II. y2 – 16y + 63 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 134. |
I. x2 – 19x + 88 = 0 II. y2 – 12y + 35 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 135. |
I. 35x2 + 13x – 90 = 0 II. 7y2 + 24y + 20 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 136. |
I. x2 – 0.5x – 39 = 0 II. y2 – 15.5y + 60 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 137. |
I. 2x2 + 3x – 35 = 0 II. 4y2 + 10y – 104 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 138. |
I. x3 – 14 – 1714 = 0 II. 3y2 – 63 – 300 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 139. |
I. 6x2 – 23√3x + 60 = 0 II. 2y2 + 3 √3y – 15 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» B. if x ≤ y | |
| 140. |
I. x2 + 5x – 50 = 0 II. 2y2 – 11y + 15 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 141. |
I. 2x2 – 37x + 135 = 0 II. 2y2 – 37y – 39 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 142. |
I. x2 + 14x + 45 = 0 II. 2y2 + 5y – 25 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 143. |
I. 2x2 – 133x + 63 = 0 II. 4y2 – 323y + 189 = 0 |
| A. | if x > y |
| B. | if x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 144. |
I. x2 + 5x – 84 = 0 II. y2 + 27y + 180 = 0 |
| A. | if x > y |
| B. | If x < y |
| C. | if x ≥ y |
| D. | if x ≤ y |
| E. | If x = y or relationship between x and y can't be established |
| Answer» D. if x ≤ y | |
| 145. |
I. x2 – (10)5/2 = 0 √x II. 18 – √y = 7 √y √y |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 146. |
I. 49 + x + 15 = 169 II. y2 – 212 = 364 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 147. |
I. x2 + 8 = 6x II. y2 + 15 = 8y |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |
| 148. |
I. 5x + 4y = 8 II. 3x + 2y = 4 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 149. |
I. x2 + (343)1/3 = 56 II. (y)4/3 × (y)5/3 – 295 = 217 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» E. if x = y or relationship between x and y can't be established | |
| 150. |
I.x2 – 8x – 20 = 0 II. 3y2 – 60y + 297 = 0 |
| A. | if x > y |
| B. | if x ≤ y |
| C. | if x ≥ y |
| D. | if x < y |
| E. | if x = y or relationship between x and y can't be established |
| Answer» F. | |