SBI Bank Exam 2014-15: Numerical Ability (Topic-wise) Solved Practice Paper Set - 1

State Bank of India
Bank PO/Assistants Clerical Cadre Exam 2014-15

Numerical Ability
TOPIC-WISE PRACTICE SET : 1

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Number System

1. The digits of a two-digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digits is bigger than the original number by 27.
What is the original number?1. 63
2. 48
3. 96
4. 69
5. 66

2. What least number would be subtracted from 427398 so that the remaining number is divisible by 15?1. 13
2. 3
3. 16
4. 11
5. 14

3. If 45% of a number is added to the another number, the first number becomes 135 times of the another number. What is the ratio of these two numbers?1. 8 : 7
2. 3 : 2
3. 7 : 8
4. 2 : 3
5. None of these

4. A number gets reduced to its one-third when 48 is subtracted from it. What is two-third of that number?1. 22
2. 76
3. 36
4. 48
5. None of these

5. One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.1. 39
2. 70
3. 40
4. 25
5. None of these

6. The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 1. If the denominator is given as 5 + c(c is a constant), then the minimum value of the fraction is:1. 2/3
2. –2
3. –1/2
4. 1/2
5. 1/3

7. Find the number which when multiplied by 13 is increased by 180:1. 20
2. 15
3. 12
4. 5
5. 14

8. Find the number of divisors of 10800.1. 57
2. 60
3. 72
4. 62
5. 70

9. The sum of the digits in a two-digit number is 5. If 9 is subtracted from the number, the result is the number with the digits reversed. The number is:1. 23
2. 24
3. 41
4. 14
5. 32

10. Three consecutive numbers such that twice the first, 3 times the second and 4 times the third together make 182. The numbers in question are:1. 18, 22 and 23
2. 18, 19 and 20
3. 19, 20 and 21
4. 20, 21 and 22
5. 21, 22 and 23

ANSWERS:  1. (4) 2. (2) 3. (5) 4. (4) 5. (3) 6. (3) 7. (2) 8. (4) 9. (5) 10. (4)

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Decimal Fractions

1. The numerator of a non-zero rational number is five less than the denominator. If the denominator is increased by eight and the numerator is doubled, then again we get the same rational number. The required rational number is:1. 1/8
2. 4/9
3. 2/8
4. 3/8
5. 3/8

2. A fraction becomes 2 when 1 is added to both the numerator and the denominator and it becomes 3 when 1 is subtracted from both numerator and denominator. The numerator of the given fraction is:1. 7
2. 5
3. 3
4. 8
5. 6

3. What should come in place of the question mark (?) in the following question?248.8 – 190.48 + 68.08 = ?

4. Find a fraction such that if 1 is added to the denominator it reduces to ½ and reduces to 3/5 on adding 2 to the numerator.1. 12/25
2. 13/25
3. 11/13
4. 11/25
5. 14/25

ANSWERS:  1. (5) 2. (1) 3. (1) 4. (2)

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HCF and LCM

1. A florist has 200 roses and 180 jasmines with him. He was asked to make garlands of flowers with only roses or only jasmines each containing the same number of flowers. What will be the largest number of flowers, he can join together without leaving a single flower?1. 16
2. 17
3. 20
4. 19
5. 25

2. The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers.1. 2 and 6
2. 9 and 14
3. 2 and 4
4. 6 and 4
5. 6 and 10

3. The LCM and HCF of two positive numbers is 1000 and 50 respectively. Which of the following could be the pair of such numbers?1. 150 and 200
2. 175 and 300
3. 50 and 100
4. 200 and 250
5. 100 and 150

ANSWERS:  1. (3) 2. (4)  3. (4)

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Average

1. The average marks fetched by Kallu in History, Medical Science, Science and Psychology is 10 more than the marks fetched in Psychology. If he has got 110 marks aggregate in History and Medical Science, what will be the aggregate marks fetched in Science and Psychology?1. 90
2. 70
3. 75
4. 85
5. data inadequate

2. Gattu scores 60, 80, 40, 50 and 90 per cent marks in the subjects A, B, C, D and E respectively. However, the weights attached to those subjects are 5, 4, 3, 2 and 1 respectively. Which of the following represents the weighted average of marks scored by Gattu in these five subjects1. 75
2. 78
3. 62
4. 79
5. 82

3. In Hotel Madonna, the rooms are numbered from 101 to 130 on-the first floor, 221 to 260 on the second floor and 306 to 345 on the third floor. In the month of June 2002, the room occupancy was 60% on the first floor, 40% on the second floor and 75% on the third floor. If it is also known that the room charges are Rs. 200, Rs. 100 and Rs. 150 on each of the floors, then find the average income per room for the month of June 2002:1. Rs. 150.3
2. Rs. 88.18
3. Rs. 78.3
4. Rs. 70.9
5. Rs. 75.3

4. A salesgirl gets a bonus according to the following structure:
If she sells articles worth Rs. x then she gets bonus of Rs. (x/100 – 1). In the month of January, her sales value was Rs. 100, in February it was Rs. 200, from March to November it was Rs. 300 for every month and in December it was Rs. 1200. Apart from this, she also receives a basic salary of Rs. 30 per month from her employer. Find her average income per month during the year.1. Rs. 35.78
2. Rs. 30.26
3. Rs. 32.58
4. Rs. 38.88
5. Rs. 30.50

5. The weight of a object as calculated by the average of 7 different experiments is 53.735 g. The average of the first three experiments is 54.005 g, of the fourth is 0.004 g greater than the fifth, while the average of the sixth and seventh experiment was 0.010 g less than the average of the first three. Find the weight of the object obtained by the fourth experiment.1. 49.353 g
2. 51.718 g
3. 53.342 g
4. 54.512 g
5. 52.242 g

ANSWERS:  1. (4) 2. (3) 3. (2) 4. (3) 5. (3)

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Ratio and Proportion

1. An amount of money is to be divided among X, Y and Z and in the ratio of 5 : 11 : 23 respectively. If the difference between the total share of X and Y together and Z’s share is Rs. 2,800 what is the difference between Y and Z’s share?1. Rs. 6,500
2. Rs. 3,600
3. Rs. 4,800
4. Rs. 3,200
5. Rs. 3,500

2. In a factory men, women and robots were employed in the ratio 8 : 5 : 1 to finish a job-and their individual wages were in the ratio 5 : 2 : 3. Total daily wages of all amount to Rs. 318. Find the total daily wages paid to each category.1. Rs. 240, 60, 18
2. Rs. 210, 70, 38
3. Rs. 190, 95, 33
4. Rs. 240,45,15
5. None of these

3. A factory employs skilled workers, unskilled workers and accountants in the proportion 8 : 5 : 1 and the wages of a skilled worker as unskilled worker and a accountant are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all, amount to Rs. 318. Find the daily wages paid to each category of employees (Rs.):1. 240,57,19
2. 210,70,13
3. 230,65,12
4. 210,70,15
5. 240,60,18

4. The price of a jewel is proportional to the square of its weight. The jewel accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price?1. Rs. 100,000
2. Rs. 70,000
3. Rs. 160,000
4. Rs. 10800
5. Rs. 150,000

ANSWERS:  1. (2) 2. (1) 3. (5) 4. (1)

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Problem on Ages

1. The ratio between the school ages of Savita and Gillu is 5 : 6 respectively. If the ratio between the one-third age of Savita and half of Gillu’s age is 5 : 9, then what is the school age of Gillu? 1. 28 years
2. 23 years
3. 39 years
4. 32 years
5. cannot be determined

2. The ratio between the present ages of A and B is 5:3 respectively. The ratio between A’s age 4 years ago and B’s age 4 years hence is 1 : 1. What is the ratio between A’s age 4 years hence and B’s age 4 years ago?1. 3 : 2
2. 5 : 2
3. 3 : 1
4. 6 : 1
5. None of these

3. Ten years ago, A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages?1. 25 years
2. 32 years
3. 45 years
4. 35 years
5. None of these

4. The age of father 10 years ago was thrice the age of his son. Ten years hence, father’s age will be twice that of his son. The ratio of their present ages is:1. 8 : 3
2. 7 : 3
3. 11 : 2
4. 13 : 4
5. 7 : 9

5. Four years ago, the father’s age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father’s age at present?1. 35 years
2. 36 years
3. 46 years
4. Data inadequate
5. None of these

6. One year ago, Poonam was four times as old as her daughter Priya. Six years hence, Poonam’s age will exceed her daughter’s age by 9 years. The ratio of the present ages of Poonam and her daughter is:1. 8 : 3
2. 11 : 5
3. 12 : 5
4. 11 : 2
5. 13 : 4

ANSWERS:  1. (5) 2. (3) 3. (5) 4. (2) 5. (2) 6. (5)