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MATHS MCQ

Direct and Inverse Variation · ICSE STD 8 (ICSE - English Medium). 17 questions.

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17 questions · timed · auto-graded

MCQ 11 Mark
A garrison of 750 men has provisions for 20 weeks. If at the end of 4 weeks they are reinforced by 450 men, how long will the remaining provisions last?
  • ✓
    10 weeks
  • B
    11 weeks
  • C
    15 weeks
  • D
    16 weeks
Answer
Correct option: A.
10 weeks
A
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MCQ 21 Mark
A rope makes 140 rounds of a cylinder with base radius 14 cm . How many times can it go round a cylinder with base radius 20 cm ?
  • A
    17
  • ✓
    98
  • C
    120
  • D
    200
Answer
Correct option: B.
98
B
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MCQ 31 Mark
10 pipes of the same type fill a tank in 24 minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank?
  • A
    $19 \frac{1}{5} min$
  • ✓
    30 min
  • C
    40 min
  • D
    45 min
Answer
Correct option: B.
30 min
B
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MCQ 41 Mark
If 20 persons can do a piece of work in 7 days, then the number of persons required to complete the work in 28 days, is
  • ✓
    5
  • B
    9
  • C
    80
  • D
    none of these
Answer
Correct option: A.
5
A
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MCQ 51 Mark
If 15 men can reap a field in 35 days, in how many days will 21 men reap the field?
  • A
    9 days
  • ✓
    25 days
  • C
    $29 \frac{1}{6}$ days
  • D
    49 days
Answer
Correct option: B.
25 days
B
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MCQ 61 Mark
On a scale of a map, 0.6 cm represents 6.6 km . If the distance between two points on the map is 80.5 cm , the actual distance between these points is
  • A
    9 km
  • B
    72.5 km
  • C
    190.75 km
  • ✓
    885.5 km
Answer
Correct option: D.
885.5 km
D
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MCQ 71 Mark
If 22.5 metres of a uniform rod weighs 85.5 kg , what will be the weight of 9 metres of the same rod?
  • ✓
    34.2 kg
  • B
    38.4 kg
  • C
    42 kg
  • D
    None of these
Answer
Correct option: A.
34.2 kg
A
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MCQ 81 Mark
With ₹ 1000 , one can buy 4 pairs of trousers or 8 shirts. What is the amount required to buy 3 pairs of trousers and 3 shirts?
  • A
    ₹ 375
  • B
    ₹ 562.50
  • C
    ₹ 750
  • ✓
    ₹ 1125
Answer
Correct option: D.
₹ 1125
D
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MCQ 91 Mark
If $\frac{4}{5}$ th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?
  • A
    10 sec
  • B
    12 sec
  • ✓
    15 sec
  • D
    20 sec
Answer
Correct option: C.
15 sec
C
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MCQ 101 Mark
120 men had provisions for 200 days. After 5 days, 30 men died due to epidemic. The remaining food will now last for
  • A
    $146 \frac{1}{4}$ days
  • B
    150 days
  • C
    245 days
  • ✓
    260 days
Answer
Correct option: D.
260 days
D
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MCQ 111 Mark
If 20 articles cost $₹ 90$, the cost of 9 articles is :
  • A
    ₹ 45
  • ✓
    ₹ 40.50
  • C
    ₹ 4.50
  • D
    none of these
Answer
Correct option: B.
₹ 40.50
B
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MCQ 121 Mark
If $y$ is directly proportional to $x^2$ and $y=8$, when $x=4$, then the value of $y$ when $x=5$, is:
  • A
    10
  • B
    10.5
  • ✓
    12.5
  • D
    14
Answer
Correct option: C.
12.5
C
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MCQ 131 Mark
A holiday is planned for a group of 20 children and food is bought to last for 15 days. If the number of children were to increase to 25 , how long would you except the same amount of food to last?
  • A
    9 days
  • B
    10 days
  • C
    11 days
  • ✓
    12 days
Answer
Correct option: D.
12 days
D
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MCQ 141 Mark
Given that $y$ is directly proportional to the cube root of $x$ and that $y=18$ when $x=27$. The value of $y$ when $x=125$ is:
  • A
    25
  • B
    28
  • ✓
    30
  • D
    32
Answer
Correct option: C.
30
C
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MCQ 151 Mark
The variable $x$ is inversely proportional to $y$. If $x$ increases by $a \%$, then by what per cent will $y$ decrease?
  • ✓
    $a \%$
  • B
    $\frac{a}{2} \%$
  • C
    $2 a \%$
  • D
    $\frac{a}{4} \%$
Answer
Correct option: A.
$a \%$
A
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MCQ 161 Mark
Radhika takes 20 minutes to reach her school, if she goes at a speed of $6 km / h$. If she wants to reach school in 24 minutes, what should be her speed?
  • ✓
    $5 km / h$
  • B
    $4 km / h$
  • C
    $4 \frac{1}{2} km / h$
  • D
    $3 km / h$
Answer
Correct option: A.
$5 km / h$
A
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MCQ 171 Mark
If $x$ and $y$ are in direct proportion, then $\frac{1}{x}$ and $\frac{1}{y}$ are:
  • A
    in direct proportion
  • ✓
    in inverse proportion
  • C
    neither in direct nor in inverse proportion
  • D
    sometimes in direct and sometimes in inverse proportion
Answer
Correct option: B.
in inverse proportion
B
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