Q 1 – Observe the following bar graph carefully and answer the following questions :
On which item has the maximum expenditure been done?
(a) Conveyance
(b) Rent
(c) Fee
(d) Servant’s salary.
Ans. (a) Conveyance
Hint: The height of the bar corresponding to conveyance is the maximum.
Q 2 – On which item has the minimum expenditure been done?
(a) Servant’s salary
(b) Food
(c) Rent
(d) Conveyance
Ans. (a) Servant’s salary
Hint: The height of the bar corresponding to the servant’s salary is minimum.
Q 3 – What is the expenditure done on food?
(a) Rs 1000
(b) Rs 2000
(c) Rs 3000
(d) Rs 5000
Ans. (d) Rs 5000
Hint:
Expenditure done on food = 5 × 1000
= Rs 5000.
Q 4 – What is the difference between expenditures done on conveyance and rent?
(a) Rs 1000
(b) Rs 2000
(c) Rs 3000
(d) Rs 4000
Ans. (b) Rs 2000
Hint:
Expenditure done on conveyance
= 6 × 1000 = Rs 6000
Expenditure done on rent = 4 × 1000
= Rs 4000
∴ Difference = Rs 6000 – Rs 4000
= Rs 2000.
Q 5 – Rs 5000 is the expenditure done on
(a) rent
(b) food
(c) fee
(d) recreation.
Ans. (a) rent
Q 6 – Rs 6000 is the expenditure done on
(a) fee
(b) rent
(c) conveyance
(d) food.
Ans. (c) conveyance
Q 7 –Study the following frequency distribution table and answer the questions given below :
| Class interval Age (in years) | Number of persons |
| 15-20 | 12 |
| 20-25 | 20 |
| 25-30 | 42 |
| 30-35 | 20 |
| 35-40 | 6 |
Q 8 – What is the size of the class intervals ?
(a) 5
(b) 10
(c) 15
(d) 20.
Ans. (a) 10
Hint:
Size = 20 – 15 = 5.
Q 9 – Which class has the highest frequency?
(a) 15-20
(b)20-25
(c) 25-30
(d) 35-40.
Ans. (c) 25-30
Q 10 – Which class has the lowest frequency?
(a) 35-40
(b) 30-35
(c) 15-20
(d) 25-30.
Ans. (a) 35-40
Hint:
Lowest frequency = 6 → 35 – 40.
Q 11 – Which two classes have the same frequency ?
(а) 15-20 and 35-40
(b) 20-25 and 30-35
(c) 15-20 and 30-35
(d) 20-25 and 25-30.
Ans. (b) 20-25 and 30-35
Hint:
Frequency of class 20-25 = Frequency of class 30-35 = 20.
Q 12 – What is the lower limit of the class interval 35-40 ?
(a) 20
(b) 25
(c) 30
(d) 35
Ans. (d) 35
Q 13 – Study the following frequency distribution table and answer the questions given below :
| Daily Wages | Number of Wages |
| 290-325 | 5 |
| 325-360 | 2 |
| 360-395 | 4 |
| 395-430 | 6 |
| 430-465 | 7 |
| 465-500 | 5 |
Q 14 – The upper limit of the fourth class is
(a) 430
(b) 395
(c) 465
(d) 500
Ans. (a) 430
Hint:
Size = 325 – 290 = 35.
Q 15 – The lower limit of the sixth class is
(a) 395
(b) 430
(c) 465
(d) 360.
Ans. (c) 465
Hint:
Sixth class is 465 – 500.
Q 16 – The size of the class intervals is
(a) 25
(b) 30
(c) 40
(d) 35
Ans. (d) 35
Hint:
Fourth class is 395-430.
Q 17 – The frequency of the third class is
(a) 5
(b) 4
(c) 2
(d) 7
Ans. (b) 4
Hint:
Third class is 360 – 395.
Q 18 – Which two classes have the same frequency?
(a) 290-325 and 465-500
(b) 290-325 and 325-360
(c) 430-465 and 465-500
(d) 325-360 and 360-395.
Ans. (a) 290-325 and 465 500
Hint:
Frequency of class 290-325
= Frequency of class 465-500 = 5.
Q 19 – The class with the lowest frequency is
(a) 325-360
(b) 360-395
(c) 465-500
(d) 395-430.
Ans. (a) 325-360
Hint:
Lowest frequency = 2 → 325-360.
Q 20 – The number of workers getting wages below ? 360 is
(a) 7
(b) 6
(c) 5
(d) 4.
Ans. (a) 7
Hint:
Required number = 5 + 2 = 7.
Q 21 – The total number of workers is
(a) 29
(b) 22
(c) 28
(d) 21
Ans. (a) 29
Hint:
Required number = 5 + 2 + 4 + 6 + 7 + 5
= 29.
Q 22 – Observe the histogram and answer the questions given below :
Q 23 – Which group contains maximum players?
(a) 20-30
(b) 30-40
(c) 40-50
(d) 70-80
Ans. (b) 30-40
Hint:
Maximum frequency = 16 → 30-40.
Q 24 – Which group has minimum players?
(a) 20-30
(b) 50-60
(c) 60-70
(d) 30-40.
Ans. (a) 20-30
Hint:
Minimum frequency = 2 → 20 – 30.
Q 25 – Which two groups have the same number of players ?
(a) 30-40 and 40-50
(b) 20-30 and 30-40
(c) 40-50 and 70-80
(d) 80-90 and 90-100.
Ans. (c) 40-50 and 70-80
Hint:
Frequency of group 40-50 = 14
= Frequency of group 70-80.
Q 26 – How many players make runs 80 and above ?
(a) 2
(b) 8
(c) 10
(d) 18
Ans. (d) 18
Hint:
Required number = 8 + 10 = 18.
Q 27 – How many players make runs 50 to less than 60 ?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (d) 4
Hint:
Required number
= Frequency of group 50-60 = 4.
Q 28 – How many players make runs less than 40?
(a) 8
(b) 2
(c) 18
(d) 10
Ans. (c) 18
Hint:
Required number = 2 + 16 = 18.
Q 29 – Observe the pie chart given below and answer the following questions:
Q 30. The central angle for sector A is
(a) 108°
(b) 144°
(c) 72°
(d) 150°.
Ans. (a) 108°
Q 31 – The central angle for sector B is
(a) 108°
(b) 144°
(c) 72°
(d) 120°.
Ans. (b) 144°
Q 32 – Which sector has the greatest angle ?
(a) A
(b) B
(c) C
(d) None of these.
Ans. (b) B
Q 33 – What is the difference between the central angles for sector B and sector C?
(a) 36°
(b) 72°
(c) 9°
(d) 81°.
Ans. (a) 36°
Q 34 – In the class- interval 70-80, 80 is the
(a) upper limit
(b) frequency
(c) range
(d) lower limit
Ans. (a) upper limit
Q 35 – Two dice are thrown, find and a number of outcomes.
(a) 36
(b) 6
(c) 12
(d) None of these
Ans. (a) 36
Q 36 – If a coin is flipped in the air, what is the probability of getting a tail?
(a) 0
(c) 1
(d) 2
Q 37 – There are 2 Red, 3 Blue, and 5 Black balls in a bag. A ball is drawn from the bag without looking into the bag. What is the probability of getting a non-red ball?
(d) None of these
Q 38 – The class mark of 95-100 is
(a) 95.5
(b) 97.5
(c) 95
(d) 100
Ans. (b) 97.5
Q 39 – Numbers 1 to 10 are written on ten separates slips (one number on one slip), kept in a box and mixed well. One slip is chosen
from the box without looking into it. What is the probability of getting a 1-digit number?
(a) 1
(b) 0
Q 40 – The pie-chart is divided into
(a) circles
(b) squares
(c) sectors
(d) segments
Ans. (c) sectors
Q 41 – 18 out of 36 people love reading, so reading in the pie chart will be represented by
(a) 36 degree sector
(b) quarter sector
(c) semicircular sector
(d) None of these
Ans. (c) semi circular sector
Q 42 – Numbers 1 to 10 are written on ten separates slips (one number on one slip), kept in a box, and mixed well. One slip is chosen
from the box without looking into it. What is the probability of getting a number less than 6?
(a) 1
(b) 0
Q 43 – There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the
probability of getting a blue ball?
(d) None of these