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 $= 53$
$x + x + 1 = 53$
$⇒ 2x = 53 - 1$
$⇒ 2x = 52$
$⇒ x = 26$
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 $= 2x + 3$
$2x + 1 + 2x + 3 = 36$
$\Rightarrow 4x + 4 = 36$
$\Rightarrow 4x = 36 - 4 = 32$
$\Rightarrow x = 8$
Smaller number $= 2x + 1 = 2 \times 8 + 1 = 16 + 1 = 17$
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:
AnswerLet 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 $= 16 \times 2m = 32m$
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:
AnswerLet width of rectangle $= xm$
Then length $= 3xm$
Perimeter $= 96m$
$2 (x + 3x) = 96$
$\Rightarrow\text{x}+3\text{x}=\frac{96}{2}=48$
$\Rightarrow 4x = 48$
$\Rightarrow x = 12$
Length $= 3x = 12 \times 3 = 36m$
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:
- ✓
$5$ years
- B
$10$ years
- C
$15$ years
- D
$20$ years
AnswerCorrect option: A. $5$ 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:
- ✓
$60^\circ $
- B
$80^\circ $
- C
$100^\circ $
- D
$120^\circ $
AnswerCorrect option: A. $60^\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→