Questions · Page 4 of 5

M.C.Q. [1 Marks Each]

MCQ 1511 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $a, b, c, d$ are in proportion then:
  • A
    $ac = bd$
  • $ad = bc$
  • C
    $ab = cd$
  • D
    None of these.
Answer
Correct option: B.
$ad = bc$
$\frac{\text{a}}{\text{b}}$
$=\frac{\text{c}}{\text{d}}$
$\Rightarrow\text{ad}=\text{bc}$
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MCQ 1521 Mark
When a number is added to a second number, the sum is $33.33\%$ of the second number. What is the ratio between the first number and second number?
  • A
    $3 : 7$
  • B
    $7 : 4$
  • C
    $7 : 3$
  • Data inadequate
Answer
Correct option: D.
Data inadequate
Data inadequate reason $x + y = 33.33$ percent of $\text{yx + y }=\frac{1}{3}\times\text{y}$
The ratio is coming out to be negativeThen data inadequate
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MCQ 1531 Mark
 
The weekly expenses of a boy have increased from $Rs. 1,500$ to $Rs. 2,250$. Find the ratio of:
$I.$ Increases in expenses to original expenses.
$II.$ Original expenses to increased expenses.
$III.$ Increased expenses to increase in expenses.
 
  • A
    $(1)1 : 2, (2) 3 : 2, (3) 3 : 1$
  • B
    $(1)1 : 2, (2) 2 : 3, (3) 1 : 3$
  • C
    $(1)2 : 1, (2) 2 : 3, (3) 3 : 1$
  • $(1)1 : 2, (2) 2 : 3, (3) 3 : 1$
Answer
Correct option: D.
$(1)1 : 2, (2) 2 : 3, (3) 3 : 1$
Increase in expenses to original expenses $=\frac{2250-1500}{1500}=\frac{750}{1500}=1:2$
Original expenses to increased expenses $=\frac{1500}{2250}=\frac{2}{3}=2:3$
Increased expenses to increase in expenses $=\frac{2250}{750}=3:1$
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MCQ 1541 Mark
Ratio of $200\ ml$ to $2$ litre is____
  • A
    $20 : 1$
  • $1 : 10$
  • C
    $2 : 200$
  • D
    $1 : 20$
Answer
Correct option: B.
$1 : 10$
$2$ litre $= 2000\ ml$ $200\ ml : 2$ litre
$= 200 : 2000$
$= 1 : 10$
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MCQ 1551 Mark
If $a : b = 3 : 2, b : c$ $=\frac{1}{4}:\frac{1}{5},$ c : d $=1\frac{1}{2}:3\frac{1}{2}$ What is $a : d$?
  • $45 : 56$
  • B
    $15 : 14$
  • C
    $15 : 22$
  • D
    $45 : 67$
Answer
Correct option: A.
$45 : 56$
$45 : 56$
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MCQ 1561 Mark
The ratio of male and female employees in a multinational company is $5 : 3$. If there are $115$ male employees in the company, then the number of female employees is:
  • A
    $96$
  • B
    $52$
  • $69$
  • D
    $66$
Answer
Correct option: C.
$69$
If the number of male employees is $115$, let the number of female employees be $x$.
According to the question:
$5 : 3 = 115 : x$
$\Rightarrow\text{x}=\frac{115}{5\times3}=69$
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MCQ 1571 Mark
If $A : B = 7: :9$ and $B : C = 6 : 7$ then $A : C$ is
  • A
    $2 : 3$
  • B
    $3 : 2$
  • C
    $1 : 3$
  • $5 : 3$
Answer
Correct option: D.
$5 : 3$
$5 : 3$
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MCQ 1581 Mark
If the angles of a triangle are in the ratio $2 : 3 : 4$, then the difference between the greatest and smallest angles is.
  • A
    $10^\circ $
  • B
    $20^\circ $
  • C
    $30^\circ$
  • $40^\circ$
Answer
Correct option: D.
$40^\circ$
Let the angles be in ratio $2x, 3x, 4x.$
Therefore, $2x + 3x + 4x = 180^\circ $
$9x = 180^\circ $
$x = 20^\circ $
Difference between the greatest and smallest angles is
$= 4x - 2x = 2x = 2 \times 20^\circ = 40^\circ $
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MCQ 1591 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $a, b, c$ are in proportion then:
  • A
    $a² = bc$
  • $b² = ac$
  • C
    $c² = ab$
  • D
    None of these.
Answer
Correct option: B.
$b² = ac$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac{\text{b}}{\text{c}}$
$\Rightarrow\text{b}^2=\text{ac}$
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MCQ 1601 Mark
If a bus travels $126\ km$ in $3$ hours and a train travels $315\ km$ in $5$ hours, then the ratio of their speeds is:
  • A
    $2 : 5$
  • $2 : 3$
  • C
    $5 : 2$
  • D
    $25 : 6$
Answer
Correct option: B.
$2 : 3$
Speed = Distance Time
Speed of the bus $=\frac{126}{3}=42\text{km/h}$
Speed of the train $=\frac{315}{5}=63\text{km/h}$
Ratio of their speeds $= 42 : 63 = 2 : 3$ (Divide by $21$).
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MCQ 1611 Mark
Find $x$ if $x : 3$ $= 80 : 120.$
  • A
    $1$
  • $2$
  • C
    $5$
  • D
    $4$
Answer
Correct option: B.
$2$
We have
$x : 3 = 80 : 120$
$\Rightarrow\frac{\text{x}}{3}=\frac{80}{120}$
$\Rightarrow\text{x}=\frac{80\times3}{120}$
$\therefore\text{x}=2$
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MCQ 1621 Mark
The simplest form of $24 : 36$ is.
  • A
    $9 : 4$
  • B
    $4 : 9$
  • C
    $3 : 2$
  • $2 : 3$
Answer
Correct option: D.
$2 : 3$
$\text{Now }24:36=\frac{24}{36}=\frac{2\times12}{3\times12}=\frac{2}{3}=2:3$
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MCQ 1631 Mark
Mark $(\checkmark)$ against the correct answer in the following.
The ratio of boys and girls in a school is $12 : 5$. If the number of girls is $840$, the total strength of the school is:
  • A
    $1190$
  • B
    $2380$
  • $2856$
  • D
    $2142$
Answer
Correct option: C.
$2856$
Total strength of school
$\text{Largest}=\frac{840}{5}\times(12+5)$
$=\frac{840\times17}{5}$
$=168\times17$
$=2856$
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MCQ 1641 Mark
Mark $(\checkmark)$ against the correct answer in the following.
In a fort, $550$ men had provisions for $28$ days. How many days will it last for 700 men?
  • $22\text{ days}$
  • B
    $35\frac{7}{11}$
  • C
    $34\text{ days}$
  • D
    None of these.
Answer
Correct option: A.
$22\text{ days}$
$\frac{28\times550}{700}$
$=22\text{ days} $
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MCQ 1651 Mark
The ratio of the incomes of Kamala and Vimala is $2 : 3$ If Kamalas income is $Rs. 9000$ then Vimalas income is
  • $Rs. 13,500$
  • B
    $Rs. 6000$
  • C
    $Rs. 12,000$
  • D
    None of the above
Answer
Correct option: A.
$Rs. 13,500$
Let Vimalas income be $x$, Then according to the question $\frac{9000}{\text{x}}=\frac{2}{3}$
$\therefore\text{x}=\frac{9000\times3}{2}$ Vimalas income is $Rs. 13,500$
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MCQ 1661 Mark
Mark $(\checkmark)$ against the correct answer in the following:
$10$ boys can dig a pitch in $12$ hours. How long will $8$ boys take to do it?
  • A
    $9$hrs $36$min
  • $15$ hours
  • C
    $6$hrs $40$min
  • D
    $13$hrs $10$min
Answer
Correct option: B.
$15$ hours
Time taken by $10$ boys to dig a pitch $= 12$ hours
Time taken by $1$ boy to dig a pitch $= 12 \times 10 = 120$ hours. (Less boys would take more hours.)
Time taken by $8$ boys to dig a pitch $=\frac{120}{8}=15\text{ hours}$
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MCQ 1671 Mark
A bag contains $50$ paise $1$ rupee and $2$ rupee coins in the ratio $2 : 3 : 4$ If the total amount is $Rs. 240$ What is the total number of coins?
  • A
    $90$
  • B
    $162$
  • $180$
  • D
    $225$
Answer
Correct option: C.
$180$
Let the $50$ paise, $1$ rupee and $2$ rupee coins bag is $2x, 3x$ and $4x$ Then
total ruppe in bag $= 50\times 2x + 1 \times 3x + 2\times 4x = 240$
$\Rightarrow x + 3x + 8x = 240$
$\Rightarrow 12x = 240$
$\Rightarrow x = 20$ Then total number of coins are
$= 9 \times 20 = 180$
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MCQ 1681 Mark
The ratio of $Rs. 3$ and $60$ Paise is.
  • A
    $1 : 20$
  • $5 : 1$
  • C
    $1 : 2$
  • D
    $20 : 1$
Answer
Correct option: B.
$5 : 1$
$Rs. 3 = 3 \times 100 = 300$
$\Rightarrow\frac{\text{Rs. 3}}{60\text{ paise}}=\frac{300\text{ paise}}{60\text{ paise}}=\frac{5}{1}=5:1$
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MCQ 1691 Mark
$16 : 24 =$ ____.
  • A
    $2 : 3$
  • B
    $22 : 33$
  • C
    $18 : 27$
  • All of the above
Answer
Correct option: D.
All of the above
All of the above
Since $16 : 24 = 2 : 3 = 22 : 33 = 18 : 27$
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MCQ 1701 Mark
The cost of $8$ almirahs is $₹ 8000$. The cost of $1$ almirah is
  • $₹ 1000$
  • B
    $₹ 2000$
  • C
    $₹ 4000$
  • D
    $₹ 6000.$
Answer
Correct option: A.
$₹ 1000$
$₹ 1000$
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MCQ 1711 Mark
$150\ kg$ of oil can be filled in $10$ containers. To fill $750\ kg$ of oil, how many containers will be required?
  • A
    $10$
  • B
    $20$
  • C
    $40$
  • $50$
Answer
Correct option: D.
$50$
$50$
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MCQ 1721 Mark
The fare for $5$ tickets from Kosi Kalan to Mathura is $₹ 150$. The fare for $3$ tickets is
  • $₹ 90$
  • B
    $₹ 60$
  • C
    $₹ 75$
  • D
    $₹ 45.$
Answer
Correct option: A.
$₹ 90$
$₹ 90$
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MCQ 1731 Mark
An aeroplane covers a distance of $5000\ km$ in $5$ hours. How much distance will it cover in $2$ hours?
  • A
    $1000\ km$
  • $2000\ km$
  • C
    $3000\ km$
  • D
    $4000\ km.$
Answer
Correct option: B.
$2000\ km$
$2000\ km$
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MCQ 1741 Mark
The salary of a month of an employee is $₹ 4000$. The annual salary of the employee is
  • $₹ 48000$
  • B
    $₹ 24000$
  • C
    $₹ 12000$
  • D
    $₹ 8000.$
Answer
Correct option: A.
$₹ 48000$
$₹ 48000$
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MCQ 1751 Mark
The cost of $20 m$ of cloth is $₹ 400$. The cost of $15 m$ of cloth is
  • A
    $₹ 100$
  • B
    $₹ 200$
  • $₹ 300$
  • D
    $₹ 360.$
Answer
Correct option: C.
$₹ 300$
$₹ 300$
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MCQ 1761 Mark
The weight of $50$ books is $10\ kg$. The weight of $25$ books is
  • $5\ kg$
  • B
    $8\ kg$
  • C
    $6\ kg$
  • D
    $4\ kg.$
Answer
Correct option: A.
$5\ kg$
$5\ kg$
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MCQ 1771 Mark
The cost of $5\ kg$ of tomatoes is $₹ 100$. The cost of $2\ kg$ of tomatoes is
  • A
    $₹ 20$
  • $₹ 40$
  • C
    $₹ 30$
  • D
    $₹ 50.$
Answer
Correct option: B.
$₹ 40$
$₹ 40$
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MCQ 1781 Mark
The cost of $3$ envelopes is $₹ 15$. The cost of $10$ envelopes is
  • A
    $₹ 20$
  • B
    $₹ 30$
  • C
    $₹ 45$
  • $₹ 50$.
Answer
Correct option: D.
$₹ 50$.
$₹ 50$.
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MCQ 1791 Mark
The cost of $1$ dozen pens is $₹ 24$. Find the cost of $30$ pens.
  • A
    $₹ 40$
  • B
    $₹ 45$
  • C
    $₹ 30$
  • $₹ 60.$
Answer
Correct option: D.
$₹ 60.$
$₹ 60.$
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MCQ 1801 Mark
The cost of $10$ notebooks is $₹ 100$. The cost of $1$ notebook is
  • $₹ 10$
  • B
    $₹ 100$
  • C
    $₹ 20$
  • D
    $₹ 5.$
Answer
Correct option: A.
$₹ 10$
$₹ 10$
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MCQ 1811 Mark
A car requires $5$ litres of petrol to cover $80\ km$. How many litres of petrol are required to cover $32\ km$?
  • A
    $1$
  • $2$
  • C
    $3$
  • D
    $4$
Answer
Correct option: B.
$2$
$2$
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MCQ 1821 Mark
Which of the following statement is not true?
  • $4 : 7 = 5 : 9$
  • B
    $₹ 5 : ₹ 25 = 12g : 60g$
  • C
    $30 : 80 = 6 : 16$
  • D
    $12 : 36 = 14 : 42.$
Answer
Correct option: A.
$4 : 7 = 5 : 9$
$4 : 7 = 5 : 9$
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MCQ 1831 Mark
Which of the following is false?
  • A
    $50600, 8500, 7235, 4000$
  • B
    $50600, 8500, 4000, 7200$
  • $50600, 7235, 8500, 4000$
  • D
    $50600, 7235, 4000, 8500$
Answer
Correct option: C.
$50600, 7235, 8500, 4000$
$50600, 7235, 8500, 4000$
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MCQ 1841 Mark
Which of the following is true?
  • A
    $7500, 2000, 525, 132$
  • $132, 525, 2000, 7500$
  • C
    $132, 525, 7500, 2000$
  • D
    $7500, 2000, 132, 525$
Answer
Correct option: B.
$132, 525, 2000, 7500$
$132, 525, 2000, 7500$
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MCQ 1851 Mark
Which of the following are in proportion?
  • $2,3,20,30$
  • B
    $3,4,15,18$
  • C
    $1,3,11,22$
  • D
    $2,5,40,80.$
Answer
Correct option: A.
$2,3,20,30$
$2,3,20,30$
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MCQ 1861 Mark
$₹ 100$ are divided between Sangeeta and Manish in the ratio $4:1$. Find the amount Sangeeta gets.
  • $₹ 80$
  • B
    $₹ 20$
  • C
    $₹ 60$
  • D
    $₹ 50.$
Answer
Correct option: A.
$₹ 80$
$₹ 80$
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MCQ 1871 Mark
$100$ students appeared in annual examination. $60$ students passed. The ratio of the number of students who failed to the total number of students is
  • A
    $5:2$
  • $2:5$
  • C
    $2:3$
  • D
    $3:2.$
Answer
Correct option: B.
$2:5$
$2:5$
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MCQ 1881 Mark
The present age of Hari Kishan is $60$ years. The present age of Manish is $30$ years. The ratio of the age of Manish to the age of Hari Kishan $10$ years ago was
  • $2:5$
  • B
    $5:2$
  • C
    $2:3$
  • D
    $3:2.$
Answer
Correct option: A.
$2:5$
$2:5$
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MCQ 1891 Mark
The cost of $1$ dozen bananas is $₹ 30.$ The cost of $6$ oranges is $₹ 18$. The ratio of the cost of a i banana to the cost of an orange is
  • A
    $3:2$
  • B
    $2:3$
  • C
    $6:5$
  • $5:6.$
Answer
Correct option: D.
$5:6.$
$5:6.$
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MCQ 1901 Mark
Out of $30$ students in a class, $20$ like cricket and $10$ like Hockey. The ratio of the number of students liking Hockey to the total number of students is
  • A
    $3:1$
  • $1:3$
  • C
    $2:3$
  • D
    $1:2.$
Answer
Correct option: B.
$1:3$
$1:3$
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MCQ 1921 Mark
There are $20$ teachers in a school of $500$ students. The ratio of the number of teachers to the number of students is
  • A
    $1:20$
  • B
    $1:50$
  • $1:25$
  • D
    $25:1.$
Answer
Correct option: C.
$1:25$
$1:25$
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MCQ 1931 Mark
Which of the following ratios is not equiva-lent to $10:5$?
  • $1:2$
  • B
    $2:1$
  • C
    $20:10$
  • D
    $30:15$.
Answer
Correct option: A.
$1:2$
$1:2$
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MCQ 1941 Mark
Which of the following ratios is equivalent to $2:3$?
  • A
    $4:8$
  • B
    $4:9$
  • $6:9$
  • D
    $6:12.$
Answer
Correct option: C.
$6:9$
$6:9$
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MCQ 1951 Mark
In a family, there are $8$ males and $4$ females. The ratio of the number of females to the number of males is
  • $1:2$
  • B
    $1:4$
  • C
    $1:8$
  • D
    $2:1.$
Answer
Correct option: A.
$1:2$
$1:2$
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MCQ 1971 Mark
The length and breadth of a rectangular park are $50\ m$ and $40\ m$ respectively. Find the ratio of the length to the breadth of the park.
  • A
    $4:5$
  • B
    $4:1$
  • C
    $5:1$
  • $5:4.$
Answer
Correct option: D.
$5:4.$
$5:4.$
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MCQ 1981 Mark
The speed of Shubham is $6\ km$ per hour. The speed of Yash is $2\ km$ per hour. The ratio of the speed of Shubham to the speed of Yash is
  • A
    $2:3$
  • $3:1$
  • C
    $1:3$
  • D
    $3:2.$
Answer
Correct option: B.
$3:1$
$3:1$
 
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MCQ 1991 Mark
The cost of a car is $₹ 3,00,000$. The cost of a motorbike is $₹ 50,000.$ The ratio of the cost of motorbike to the cost of car is
  • $1:6$
  • B
    $1:5$
  • C
    $1:4$
  • D
    $1:3.$
Answer
Correct option: A.
$1:6$
$1:6$
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MCQ 2001 Mark
The height of Apala is $150\ cm$. The height of Pari is $120\ cm$. The ratio of the height of Apala to the height of Pari is
  • A
    $4:5$
  • $5:4$
  • C
    $5:2$
  • D
    $4:1.$
Answer
Correct option: B.
$5:4$
$5:4$
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M.C.Q. [1 Marks Each] - Page 4 - MATHS STD 6 Questions - Vidyadip