WB Food Supply Sub Inspector Exam
Arithmetic Syllabus
- Decimals,
- Number Series,
- Divisibility,
- HCF & LCM,
- Average,
- Partnership,
- Percentage
- Profit & Loss
- Simple & Compound Interest
- Time Speed & Distance/ Time & Work,
- Simple Geometry,
- Simplification,
- Ratio.
1) If an angle is its own complementary angle, then its measure is
a) 800
b)450
c) 600
d) 900
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2) cos 00 is equal to
a) 0
b) 1
c) Not defined
d) None of these
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3) Volumes of two cubes are in the ratio 8:27. Ratio of their surface area is
a) 2 : 3
b) 3 : 2
b) 3 : 2
c) 4 : 9
d) 9 : 4
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4) What is the largest number of 4 digits which divided by 6,9,12,15 or 18 leaves 1 as reminder in each case?
a) 9901
b) 9899
c) 1081
d) 9673
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5) 83 x 82 x8-5 is equal to
a) 0
b) 1
c) 2
d) None of the above
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6) How many 3 digit numbers, in all, are divisible by 6?
a) 140
b) 150
c) 160
d) 170
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7) A sum is invested at compound interest payable annually. The interest including principal in two successive years was Rs 225 and Rs 236.25 respectively. The rate of interest was
a) 4.5%
b) 5%
c) 8%
d) 6.25%
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8) A certain sum amount to Rs 5832 in 2 yr at 8% per annum compound interest, the sum is
a) Rs 5000
b) Rs 5200
c) Rs 5280
d) Rs 5400
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9) If a + b=5,a2+ b2 = 13, the value od a – b ( where a>b) is
a) 1
b) – 2
c) 2
d) – 1
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10) If (3x – y) : (x + 5Y) = 5:7, then the value of ( x+ y) : ( x – y) is
a) 2 : 3
b) 3 : 2
c) 3 : 1
d) 1 : 3
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11) If 13 + 23 + 33 ….. + 103 = 3025, then 4 + 32 + 108 + …… + 4000 is equal to
a) 12000
b) 12100
c) 122000
d) 12400
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Solution: –
4 + 32 + 107 …. + 4000 = 4 (1 + 8 + 27 + ….. 1000)
= 4 (13 + 23 + 33 ….. + 103 )= 4 x 3025 = 12100 (Answer)
12) The lengths of the diagonals of a rhombus are 24 cm and 18 cm, respectively. The lengths of each side of the rhombus is
a) 12 cm
b) 9 cm
c) 15 cm
d) 8 cm
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13) The area ( in sq cm) of the largest circle that can drawn inside a square of side 28 cm, is
a) 17248
b) 784
c) 8624
d) 616
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14) The digit in unit’s place of the product
49237 x 3995 x 738 x83 x 9 is
a)0
b) 7
c) 5
d) 6
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15) The number, whose square is equal to the difference of the squares of the numbers 68 and 32, is
a) 36
b) 48
c) 60
d) 64
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16) If x earn 25% more than y. What per cent less does y earn than x?
a) 16%
b) 10%
c) 20%
d) 25%
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17)If A and B are in the ratio 3 : 4 and B and C are in the ratio 12 : 13, then A and C will be in the ratio
a) 3 : 13
b) 9 : 13
c) 36 : 13
d) 13 : 9
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18) (0.04) –(1.5) is equal to
a) 25
b) 125
c) 60
d) 5
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19) For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the Profit is
a) 50%
b) 40%
c) 30%
d) 33 %
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20) {(49)15 – 1} is exactly divisible by
a) 8
b) 14
c)50
d) 51
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21)If CP of 5 mangoes is equal to SP of 4 mangoes, then what will be gain percentage?
a) 20
b) 16
c) 25
d) 10
22) What is the rate of interest, when the PW of Rs 1245 due 15 months hence is Rs 1200 ?
a) 3%
b) 2%
c) 4%
d) 5%
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23) If x2 + y2 – 4x – 4y + 8= 0, then the value of x – y is
a) 4
b) – 4
c) 0
d) 8
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24) If a* b= 2a – 3b + ab, then 3* 5* + 5 * 3 is equal to
a) 22
b) 24
c) 26
d) 28
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25) The discount series 10%, 20%, 40% is equivalent to a single discount of
a) 50%
b) 56.8%
c) 60%
d) 62.28%
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26) The mean of five numbers is 18. If one n umber is excluded, their mean is 16. The excluded number is
a) 25
b) 26
c) 27
d) 30
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27) 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in
a) 10 days
b) 12 days
c) 15 days
d) 16 days
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28) Find the largest common divisor of 102 and 1170
a) 10
b) 7
c) 6
d) 8
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29) The smallest 3-digit prime number is
a) 103
b) 107
c) 109
d) None of these
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30) sin2 20o + sin2 70o – tan2 45o =?
a)0
b) 2
c) 1
d) ½
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31) The number of times 2 is used while writing the numbers from 1 to 100 is
a) 19
b) 18
c) 21
d) 20
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32) 3x + 2y = 12 and xy= 6, then the value of 9x2 + 4y2 is
a) 76
b) 80
c) 72
d) 74
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33) Volumes of two cubes are in the ratio 8 : 27. Ratio of their surface area is
a) 2 : 3
b) 3 : 2
c) 4 : 9
d) 9 : 4
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34) The largest sphere is curved out from a cube of side 21 cm. The volume of remaining part is
a) 4770 cm3
b) 4410 cm3
c) 4370 cm3
d) None of these
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35) If a + b= 8, a – b = 4, then a2 + b2 is equal to
a) 20
b) 40
c) 10
d) 30
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36) If 7n + 9 >100 and n is an integer, then smallest possible value of n is
a) 13
a) 13
b) 12
c) 14
d) 15
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37) The sum of a natural number and its square equal the product of the first three prime numbers. The number is
a) 2
b) 3
c) 5
d) 6
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38) If ( x+ 7954 x 7956) be a square number ,Then the value of x is
a) 1
b) 16
c) 9
d) 4
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39) HCF of x2 – y2 and x3 – y3 is
a) x- y
b) x3 – y3
c) (x2 – y2)
d) (x + y)( x2+xy +y2)
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40) The cost price of 18 articles is equal to the selling price of 15 articles. The gain is
a) 25%
b) 20%
c) 18%
d) 15%
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41) ram has Rs. 6 more than Mohan and Rs. 9 more than Sohan. All the three have Rs. 33 in all. Ram has a share of
a) Rs. 10
b) Rs. 16
c) Rs. 7
d) Rs. 13
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42) A river 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water (in liters) will fall into the sea in a munite ?
a) 400000
b) 4000000
c) 40000
d) 4000
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43) The simple interest on a sum for 5 yr is one-fourth of the sum. The rate of interest per annum is
a) 5%
b) 6%
c) 4%
d) 8%
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44) What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm?
a) 105
b) 90
c) 60
d) 75
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45) A man can row 6 km/h in still water. If the speed of the current is 2km/h, it takes 3 h more in upstream than in the downstream for the same distance. The distance is
a) 30 km
b) 24 km
c) 20 km
d) 32 km
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46) How many meters of carpet 63 cm wide will be required to cover the floor of a room 14 m by 9 m ?
a) 200 m
b) 210 m
c) 220 m
d) 185 m
47) If the cost price of 50 oranges is equal to the selling price of 40 oranges, then the profit per cent is
a) 5
b) 10
c) 20
d) 25
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48) The distance between two parallel chords of length 8 cm each in a circle of diameter 10 cm is
a) 6 cm
b) 7 cm
c) 8 cm
d) 5.5 cm
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49) If an exterior angle of a cyclic quadrilateral be 500, then the interior opposite angle angle is
a) 1300
b) 400
c) 500
d) 900
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50) The HCF of two numbers is 8. Which one of the following can never be their LCM?
a) 24
b) 48
c) 56
d) 60
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