MCQ 11 Mark
Mark against the correct answer in the following: If $(2n + 5) = 3(3n - 10),$ then $n =?$
- ✓
$5$
- B
$3$
- C
$\frac{2}{5}$
- D
$\frac{2}{3}$
Answer$2n + 5 = 3(3n - 10)$
$\Rightarrow 2n + 5 = 9n - 30$
$\Rightarrow 9n - 2n = 5 + 30$
$\Rightarrow 7n = 35$
$\Rightarrow n = 5$
View full question & answer→MCQ 21 Mark
Mark against the correct answer in the following:
If $\frac{2\text{x}-1}{3}=\frac{\text{x}-2}{3}+1$ then $x =?$
Answer$\frac{2\text{x}-1}{3}=\frac{\text{x}-2}{3}+1$
$\Rightarrow\frac{2\text{x}-1=\text{x}-2 +3}{3}$
$\Rightarrow2\text{x}-\text{x}=-2+3+1$
$\Rightarrow\text{x}=2$
$\therefore\text{x}=2$
View full question & answer→MCQ 31 Mark
Mark against the correct answer in the following: The sum of two consecutive whole numbers is $53$. The smaller number is:
AnswerLet first whole number $= x$
Then second number $= x + 1$
And sum $= 53$
$x + x + 1 = 53$
$\Rightarrow 2x = 53 - 1$
$\Rightarrow 2x = 52$
$\Rightarrow x = 26$
Smaller number $= 26$
View full question & answer→MCQ 41 Mark
Mark against the correct answer in the following: On adding $9$ to the twice of a whole number gives $31$ The whole number is:
AnswerLet number $= x$
$2x + 9 = 31$
$\Rightarrow 2x = 31 - 9 = 22$
$\Rightarrow x = 11$
View full question & answer→MCQ 51 Mark
Mark against the correct answer in the following: The sum of two consecutive odd numbers is $36,$ the smaller one is:
AnswerLet first odd number $= 2x + 1$
Second number $= 2x + 3$
$2x + 1 + 2x + 3 = 36$
$⇒ 4x + 4 = 36$
$⇒ 4x = 36 - 4 = 32$
$⇒ x = 8$
Smaller number $= 2x + 1 = 2 × 8 + 1 = 16 + 1 = 17$
View full question & answer→MCQ 61 Mark
Mark against the correct answer in the following: $\frac{2}{3}$ of a number is less than the original number by $10.$ The original number is:
Answer$\therefore\frac{2}{3}\text{x}=\text{x}-10$
$\Rightarrow\text{x}-\frac{2}{3}\text{x}=10$
$\Rightarrow\frac{1}{3}\text{x}=10$
$\Rightarrow\text{x}=30$
View full question & answer→MCQ 71 Mark
Mark against the correct answer in the following: If $2\text{z}+\frac{8}{3}=\frac{1}{4}\text{z}+5$ then $z =?$
- A
$3$
- B
$4$
- C
$\frac{3}{4}$
- ✓
$\frac{4}{3}$
AnswerCorrect option: D. $\frac{4}{3}$
$2\text{z}+\frac{8}{3}=\frac{1}{4}\text{z}+5$
$\Rightarrow2\text{z}-\frac{1}{4}\text{z}=5-\frac{8}{3}$
$\Rightarrow\frac{8\text{z}-\text{z}}{4}=\frac{15-8}{3}$
$\Rightarrow\frac{7}{4}\text{z}=\frac{7}{3}$
$\Rightarrow\text{z}=\frac{7}{3}\times\frac{4}{7}$
$=\frac{4}{3}$
View full question & answer→MCQ 81 Mark
Mark against the correct answer in the following: Two complementary angles differ by $10^\circ .$ The larger angle is:
- ✓
$60^\circ$
- B
$50^\circ$
- C
$64^\circ$
- D
$54^\circ$
AnswerCorrect option: A. $60^\circ$
Let first angle $= x$
Then second $= 90^\circ - x$
$x - (90^\circ - x) = 10$
$\Rightarrow x - 90^\circ + x = 10^\circ $
$\Rightarrow 2x = 10^\circ + 90^\circ = 100^\circ $
$x = 50^\circ $
Second angle $= 90^\circ - 50^\circ = 40^\circ $
Larger angle $= 50^\circ $
View full question & answer→MCQ 91 Mark
Mark against the correct answer in the following: The ages of $A$ and $B$ are in the ratio $4 : 3.$ After $6$ years their ages will be in the ratio $11 : 9.\ A’ s$ present age is:
- A
$12$ years
- ✓
$16$ years
- C
$20$ years
- D
$24$ years
AnswerCorrect option: B. $16$ years
Let the ages of $A$ and $B$ be $x$ and $y$ years respectively,
Now, $\frac{\text{x}}{\text{y}}=\frac{4}{3}$
$\Rightarrow3\text{x}=4\text{y}$
$\Rightarrow\text{x}=\frac{4}{3}\text{y}$
After $6$ years, We have:
$\frac{\text{x}+6}{\text{y}+6}=\frac{11}{6}$
$\Rightarrow\frac{\frac{4}{3}\text{y}+6}{\text{y}+6}=\frac{11}{9}$
$\Rightarrow\frac{4\text{y}+18}{3(\text{y}+6)}=\frac{11}{9}$
$\Rightarrow36\text{y}+162=33\text{y}+198$
$3\text{y}=36$
$\Rightarrow\text{y}=12$
$\therefore\text{x}=\frac{4}{3}\times12=16$
Hence, $A's$ present age is $16$ years.
View full question & answer→MCQ 101 Mark
Mark against the correct answer in the following:
If $\frac{\text{x}-2}{3}=\frac{2\text{x}-1}{3}-1$, then $x =?$
Answer$\frac{\text{x}-2}{3}=\frac{2\text{x}-1}{3}-1$
$\Rightarrow\frac{\text{x}-2}{3}=\frac{2\text{x}-1-3}{3}$
$\Rightarrow\text{x}-2=2\text{x}-4$
$\Rightarrow\text{x}-2\text{x}=-4+2$
$\Rightarrow-\text{x}=-2$
$\Rightarrow\text{x}=2$
View full question & answer→MCQ 111 Mark
Mark against the correct answer in the following:
Thrice a number when increased by $6$ gives $24.$ The number is:
AnswerLet number $= x$ then
$3x + 6 = 24$
$\Rightarrow 3x = 24 - 6 = 18$
$\Rightarrow x = 6$
Number $= 6$
View full question & answer→MCQ 121 Mark
Mark against the correct answer in the following:
Two complementary angles differ by $14^\circ .$ The larger angle is:
- A
$50^\circ$
- ✓
$52^\circ$
- C
$54^\circ$
- D
$56^\circ$
AnswerCorrect option: B. $52^\circ$
Let the two complementary angles be $x^\circ $ and $(90 - x)^\circ .$
According to the equation, we have:
$x - (90 - x) = 14$
$\Rightarrow 2x = 104$
$\Rightarrow x = 52$
$(90^\circ - x)^\circ = 90^\circ - 52^\circ = 38^\circ $
The larger angle is $52^\circ .$
View full question & answer→MCQ 131 Mark
Mark against the correct answer in the following: If $\frac{\text{x}-1}{\text{x}+1}=\frac{7}{9}$, then $x =?$
Answer$\frac{\text{x}-1}{\text{x}+1}=\frac{7}{9}$
$\Rightarrow9\text{x}-9=7\text{x}+7$
$\Rightarrow9\text{x}-7\text{x}=7+9$
$\Rightarrow2\text{x}=16$
$\Rightarrow\text{x}=\frac{16}{2}=8$
View full question & answer→MCQ 141 Mark
Mark against the correct answer in the following: If $2\text{x}+\frac{5}{3}=\frac{1}{4}\text{x}+4$, then $x = ?$
- A
$3$
- B
$4$
- C
$\frac{3}{4}$
- ✓
$\frac{4}{3}$
AnswerCorrect option: D. $\frac{4}{3}$
$2\text{x}+\frac{5}{3}=\frac{1}{4}\text{x}+4$
$\Rightarrow2\text{x}-\frac{1}{4}\text{x}=4-\frac{5}{3}$
$\Rightarrow\frac{8\text{x}-1\text{x}}{4}=\frac{12-5}{3}$
$\Rightarrow\frac{7\text{x}}{4}=\frac{7}{3}$
$\Rightarrow21\text{x}=28$
$\Rightarrow\text{x}=\frac{28}{21}=\frac{4}{3}$
View full question & answer→MCQ 151 Mark
Mark against the correct answer in the following: The length of a rectangle is twice its breadth and its perimeter is $96\ m.$ The length of the rectangle is:
- A
$28\ m$
- B
$30\ m$
- ✓
$32\ m$
- D
$36\ m$
AnswerCorrect option: C. $32\ m$
Let the length and breadth of the rectangle be $l\ m$ and $b\ m,$ respectively.
According to the questions, we have:
$l = 2b ……(i)$
$2(l + b) = 96 …..(ii)$
Now, $2(2b+ b) = 96$
$\Rightarrow 6b = 96$
$\Rightarrow b = 16$
Length $= 16 \times 2\ m = 32\ m$
View full question & answer→MCQ 161 Mark
Mark against the correct answer in the following: If $5\text{x}-\frac{3}{4}=2\text{x}-\frac{2}{3}$ then $x =?$
- A
$\frac{1}{12}$
- B
$\frac{1}{4}$
- C
$36$
- ✓
$\frac{1}{36}$
AnswerCorrect option: D. $\frac{1}{36}$
$5\text{x}-\frac{3}{4}=2\text{x}-\frac{2}{3}$
$\Rightarrow5\text{x}-2\text{x}=-\frac{2}{3}+\frac{3}{4}$
$\Rightarrow3\text{x}=\frac{-8+9}{12}$
$\Rightarrow3\text{x}=\frac{1}{12}$
$\Rightarrow\text{x}=\frac{1}{12\times3}$
$=\frac{1}{36}$
View full question & answer→MCQ 171 Mark
Mark against the correct answer in the following: The length of a rectangle is three times its width and its perimeter is $96\ m.$ The length is:
- A
$12\ m$
- B
$24\ m$
- ✓
$36\ m$
- D
$48\ m$
AnswerCorrect option: C. $36\ m$
Let width of rectangle $= x\ m$
Then length $= 3x\ m$
Perimeter $= 96\ m$
$2 (x + 3x) = 96$
$\Rightarrow\text{x}+3\text{x}=\frac{96}{2}=48$
$\Rightarrow 4x = 48$
$\Rightarrow x = 12$
Length $= 3x = 12 \times 3 = 36\ m$
View full question & answer→MCQ 181 Mark
Mark against the correct answer in the following: The sum of two consecutive even numbers is $86.$ The larger of the two is:
AnswerLet first even number $= 2x$
Then second number $= 2x + 2$
And sum $= 86$
$2x + 2x + 2 - 86$
$\Rightarrow 4x = 86 - 2 = 84$
$\Rightarrow x = 21$
Larger even number $= 2x + 2 = 2 \times 21 + 2 = 42 + 2 = 44$
View full question & answer→MCQ 191 Mark
Mark against the correct answer in the following: A number when multiplied by $5$ is increased by $80.$ The number is:
AnswerLet the number $= x$
According to the condition,
$5x = 80 + x$
$\Rightarrow 5x - x = 80$
$\Rightarrow 4x = 80$
$\Rightarrow x = 20$
Number $= 20$
View full question & answer→MCQ 201 Mark
Mark against the correct answer in the following: If $8(2x - 5) - 6(3x - 7) = 1,$ then $x =?$
- A
$2$
- B
$3$
- ✓
$\frac{1}{2}$
- D
$\frac{1}{3}$
AnswerCorrect option: C. $\frac{1}{2}$
$8(2x - 5) - 6(3x - 7) = 1$
$\Rightarrow 16x - 40 - 18x + 42 = 1$
$\Rightarrow -2x + 2 = 1$
$\Rightarrow -2x = 1 - 2 = -1$
$\text{x}=\frac{1}{2}$
View full question & answer→MCQ 211 Mark
Mark against the correct answer in the following:
The ages of $A$ and $B$ are in the ratio $5 : 3.$ After $6$ years, their ages will be in the ratio $7 : 5.$ The present age of $A$ is:
- A
$5$ years
- B
$10$ years
- ✓
$15$ years
- D
$20$ years
AnswerCorrect option: C. $15$ years
Let age of $A = 5x$
Then age of $B = 3x$
After $6$ years,
$A’s$ age $= 5x + 6$
and $B’s$ age $= 3x + 6$
$\frac{5\text{x}+6}{3\text{x}+6}=\frac{7}{5}$
$\Rightarrow 25x + 30 = 21x + 42$
$\Rightarrow 25x - 21x = 42 - 30$
$\Rightarrow 4x = 12$
$\Rightarrow x = 3$
$A’s$ age $= 5x = 5 \times 3 = 15$ years
View full question & answer→MCQ 221 Mark
Mark against the correct answer in the following:Two supplementary angles differ by $20^\circ .$ The smaller of the two measures:
- A
$60^\circ$
- ✓
$80^\circ$
- C
$100^\circ$
- D
$120^\circ$
AnswerCorrect option: B. $80^\circ$
Let first angle $= x$
Then second $= 180^\circ - x$
$x - (180^\circ - x) = 20^\circ $
$\Rightarrow x - 180^\circ + x = 20^\circ $
$\Rightarrow 2x = 20^\circ + 180^\circ = 200^\circ $
$x = 100^\circ $
Second angle $= 180^\circ - 100^\circ = 80^\circ $
Smaller angle $= 80^\circ $
View full question & answer→MCQ 231 Mark
Mark against the correct answer in the following:
A number when multiplied by $4$ is increased by $54.$ The number is
AnswerLet the number be $x.$
According to the equation, we have:
$4x = x + 54$
$\Rightarrow 3x = 54$
$\Rightarrow x = 18$
View full question & answer→MCQ 241 Mark
Mark against the correct answer in the following:
If $\frac{\text{x}}{2}-1=\frac{\text{x}}{3}+4$ then $x =?$
Answer$\frac{\text{x}}{2}-1=\frac{\text{x}}{3}+4$
$\Rightarrow\frac{\text{x}}{2}-\frac{\text{x}}{3}=4+1$
$\Rightarrow\frac{3\text{x}-2\text{x}}{6}=5$
$\Rightarrow\frac{\text{x}}{6}=5$
$\Rightarrow\text{x}=5\times6=30$
$\therefore\text{x}=30$
View full question & answer→MCQ 251 Mark
Mark against the correct answer in the following: If $\frac{\text{x}}{2}-\frac{\text{x}}{3}=5$, then $x = ?$
Answer$\frac{\text{x}}{2}-\frac{\text{x}}{3}=5$
$\Rightarrow\frac{3\text{x}-2\text{x}}{6}=5$
$\Rightarrow\text{x}=30$
View full question & answer→MCQ 261 Mark
The length of a rectangle is three times its width and its perimeter is 96 m. The length is
MCQ 271 Mark
A number when multiplied by 5 is increased by 80. The number is
MCQ 281 Mark
The ages of $A$ and $B$ are in the ratio $5: 3$. After 6 years, their ages will be in the ratio $7: 5$. The present age of A is
View full question & answer→MCQ 291 Mark
Two supplementary angles differ by $20^{\circ}$. The smaller of the two measures
- A
$60^{\circ}$
- ✓
$80^{\circ}$
- C
$100^{\circ}$
- D
$120^{\circ}$
AnswerCorrect option: B. $80^{\circ}$
View full question & answer→MCQ 301 Mark
Two complementary angles differ by 10°. The larger angle is
- A
$60^{\circ}$
- ✓
$50^{\circ}$
- C
$64^{\circ}$
- D
$54^{\circ}$
AnswerCorrect option: B. $50^{\circ}$
View full question & answer→MCQ 311 Mark
$\frac{2}{3}$ of a number is less than the original number by 10 . The original number is
View full question & answer→MCQ 321 Mark
Thrice a number when increased by 6 gives 24. The number is
MCQ 331 Mark
On adding 9 to the twice of a whole number gives 31. The whole number is
MCQ 341 Mark
The sum of two consecutive odd numbers is 36. The smaller one is
MCQ 351 Mark
The sum of two consecutive even numbers is 86. The larger of the two is
MCQ 361 Mark
The sum of two consecutive whole numbers is 53. The smaller number is
MCQ 371 Mark
If $\frac{2 x-1}{3}=\frac{x-2}{3}+1$, then $x=$ ?
View full question & answer→MCQ 381 Mark
If $\frac{x}{2}-1=\frac{x}{3}+4$, then $x=$ ?
View full question & answer→MCQ 391 Mark
If $8(2 x-5)-6(3 x-7)=1$, then $x=$ ?
- A
- B
- ✓
$\frac{1}{2}$
- D
$\frac{1}{3}$
AnswerCorrect option: C. $\frac{1}{2}$
View full question & answer→MCQ 401 Mark
If $\frac{x-1}{x+1}=\frac{7}{9}$, then $x=?$
View full question & answer→MCQ 411 Mark
If $(2 n+5)=3(3 n-10)$, then $n=$ ?
- ✓
- B
- C
$\frac{2}{5}$
- D
$\frac{2}{3}$
View full question & answer→MCQ 421 Mark
If $2 z+\frac{8}{3}=\frac{1}{4} z+5$, then $z=$ ?
- A
- B
- C
$\frac{3}{4}$
- ✓
$\frac{4}{3}$
AnswerCorrect option: D. $\frac{4}{3}$
View full question & answer→MCQ 431 Mark
If $5 x-\frac{3}{4}=2 x-\frac{2}{3}$, then $x=$ ?
- A
$\frac{1}{12}$
- B
$\frac{1}{4}$
- C
- ✓
$\frac{1}{36}$
AnswerCorrect option: D. $\frac{1}{36}$
View full question & answer→