It is indeed exhilarating to present this Video Course - Math for Competitive Exam - Numerical +Quantitative Aptitude in the hands of our esteemed and indefatigable learners who shed perspiration day and night to realize their aspirations . This course enshrines in itself multi-pronged need and objectives of various competitive exams such as
Banking Sector Exams;
Insurance Sector Exams;
Railway Recruitment Exams; etc to mention few.
It is indeed exhilarating to present this Video Course - Math for Competitive Exam - Numerical +Quantitative Aptitude in the hands of our esteemed and indefatigable learners who shed perspiration day and night to realize their aspirations . This course enshrines in itself multi-pronged need and objectives of various competitive exams such as
Banking Sector Exams;
Insurance Sector Exams;
Railway Recruitment Exams; etc to mention few.
It has been an interesting journey to define the share and contents of this course. The attempt has been made to retain the nature of Quantitative Aptitude qualitatively, engage with the question why learn maths while making an attempt to create videos that would address the interest of the learner for winning the challenge lying ahead and provide sufficient and comprehensible solutions to their agony.
It was a far more difficult task to operationalize than to easily comprehend. We have made a tremendous effort to provide space for the learner to engage in reflection, create their own rules and definitions based on problems solved and follow their ideas logically.
This course covers
1000+ Solved Problems and 1000+ Practice Problems for Competitive Exams - SBI PO and Clerk
Number System
Simplification
Approximation
Number Series
Average
Percentage
Ratio and Proportion
Partnership
Problems Based on Ages
Simple Interest
Compound Interest
Mixture and Alligation
Profit, Loss and Discount
Time and Work
Time, Speed and Distance
Equation and Inequality
Permutation, Combination & Probability
Mensuration
Data Sufficiency
Given bar graph shows percentage distribution of total CD’s ordered by four shopkeeper (A, B, C & D) and percentage of CD’s sold by these four shopkeepers out of total CD’s ordered by each. Read the data carefully and answer the questions.
Problem – 1
Total unsold CD’s by A & D together are how much more than total sold CD’s by C?
a.126
b.132
c.128
d.116
e.118
Problem – 2
If total CD’s sold by shopkeeper E are 125% more than total CD’s sold by B and shopkeeper E sold 27% of total ordered CD’s, then find total CD’s ordered by E are what percent more than total CD’S ordered by C ?
a.36%
b.15%
c.30%
d.20%
e.25%
Problem – 3
Find average number of unsold CD’s by B, C & D?
a.120
b.100
c.80
d.110
e.72
Problem – 4
Find ratio of total CD’s sold by A & D together to total CD’s sold by B?
a.5 : 3
b.3 : 5
c.5 : 4
d.5 : 6
e.4 : 5
Problem – 5
If total CD’s ordered by shopkeeper X is 100% more than total unsold CD’s by D and X sold 30% of total ordered CD’s, then find unsold CD’s by X are what percent of unsold CD’s by A?
a.105%
b.110%
c.100%
d.96%
e.90%
In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer.
a.if x > y
b.if x ≥ y
c.if x < y
d.if x ≤ y
e.if = y or the relationship cannot be established
Problem - 6
I.x² – 7x + 10 = 0
II.y² – 2y – 3 = 0
Problem - 7
I.x² – 24x + 143 = 0
II.y² – 29y + 210 = 0
Problem - 8
I.x² + 22x + 117 = 0
II.y² + 23y + 132 = 0
Problem - 9
I.2x² – 3x – 20 = 0
II.2y² + 11y + 15 = 0
Problem - 10
I.x² – 12x + 32 = 0
II.y² – 20y + 96 = 0
A boat travels in upstream. If the speed of boat in upstream is decreased by 40% then it is equal to the speed of current and speed of boat in still water is given as 240 km/hr. Then find upstream speed of boat? (in km/hr).
a.120
b.180
c.150
d.210
e.125
A man invested Rs. X and Rs. 2X at 15% simple interest and at 8% compound interest (compounding annually) for two years respectively. Difference between simple interest and compound interest received after two years is Rs.820. Find the value of X.
a.Rs.25000
b.Rs.30600
c.Rs.28600
d.Rs.22200
e.Rs.26200
Length of train A is 400 meters and length of train B is ‘x’ meters more than train A. If speed of both train A & B is equal and they cross a pole in 16 sec and 24 secs respectively, then in what time train ‘B’ will cross 400 m long platform.
a.32 sec
b.40 sec
c.45 sec
d.54 sec
e.24 sec
‘A’ is 40% less efficient than ‘B’ who can do the same work in 20% less time than ‘C’. If A and B together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by B and C together.
a.2 days
b.4 days
c.6 days
d.8 days
e.10 days
A shopkeeper has two articles jeans and shirt. Cost price of a jeans is 32.5% more than cost price of a shirt and cost price of jeans is increased by 30% and it sold in Rs. 4134 at the profit of 25%. If shirt marked up 15% above cost price, then find the marked price of shirt (in Rs.)?
a.2200
b.2208
c.2280
d.2820
e.2082
In first mixture, quantity of milk was 6 lit more than that of water. After adding 40 ltr of second mixture (having ratio of water to milk 3: 5) in the first mixture, ratio of water to milk in the final mixture becomes 9: 13. Find the total quantity of water in the final mixture.
a.27 ltr
b.31.5 ltr
c.36 ltr
d.45 ltr
e.None of these
A and B started a business together with capital of Rs. 8000 and Rs. 10,000 respectively. A left the business after 5 months while B continued. A gets 20% of total profit for managing business and remaining is distributed in ratio of their profit sharing. If after a year, A gets total profit of Rs.2500 then, find the total profit earned by ‘A’ and ‘B’ together.
a.10,000
b.8,500
c.7,500
d.6,250
e.5,750
The salary of A man is Rs. 50000 per month from which he spends 20% on rent, 10% of remaining on bills, 20% of further remaining on miscellaneous expenses. From the remaining amount, man gives some money to his wife and rest he invests in mutual funds in the ratio of 5 : 4. Find amount spent on rent is how much less or more than amount invested in mutual funds.
a.2800
b.2400
c.2600
d.3200
e.3000
A bag has seven red, four white and three green balls while another bag has five red, six yellow and three blue balls. A bag is selected at random and a ball drawn out of it, then Find the probability that the ball drawn is red.
a.1/7
b.3/7
c.2/7
d.6/7
Table Given below shows total number of male visitors on four different days to a park and it also shows percentage of female visitors on these four days. Read the data carefully and answer the questions.
Problem – 21
Total female visitors on Sunday & Monday together is how much more or less than total number of female visitors on Tuesday & Wednesday together.
a.160
b.140
c.120
d.100
e.80
Problem – 22
Total visitors on Wednesday are what percent more than total number of visitors on Sunday?
a.60%
b.20%
c.40%
d.80%
e.50%
Problem – 23
Total number of male visitors on Friday are 25% more than total number of male visitors on Monday, while total number of female visitors on Friday are 40% more than total number of visitors on Tuesday. Find total visitors on Friday?
a.1470
b.1050
c.1620
d.1200
e.1170
Problem – 24
Total number of visitors on Wednesday is how much more than total number of female visitors on Sunday and Monday together?
a.300
b.200
c.250
d.350
e.150
Problem – 25
If there is one guide for per five visitors on each day, then find total number of guides required for all visitors on these four days?
a.240
b.480
c.220
d.440
e.460
Problem – 26
Find the wrong number in following number series :
5, 18, 34, 54, 79, 110, 158
a.34
b.5
c.18
d.54
e.158
Problem – 27
Find the wrong number in following number series :
112, 128, 108, 132, 104, 134, 100
a.112
b.128
c.134
d.108
e.100
Problem – 28
Find the wrong number in following number series :
5, 6, 14, 45, 184, 920, 5556
a.5
b.6
c.14
d.920
e.45
Problem – 29
Find the wrong number in following number series :
10, 22, 35, 50, 68, 92, 117
a.92
b.117
c.10
d.22
e.35
Problem – 30
Find the wrong number in following number series :
64, 34, 36, 56, 114 , 287, 860
a.114
b.860
c.64
d.36
e.56
Read the data carefully and answer the questions.
There are 450 students in a school and there are two sections A & B in the school. There are three streams in each section i.e., Art, Science & Commerce. 75/4% of total students in A are in Commerce and 200/7% of total students in B are in Science. Sum of total students in Commerce in A & total students in Science in B is 105. 400/21% of total students in B are in Commerce and 50% of total students in A are in Art.
Problem – 31
Total students in Art in A is what percent more than total students in Science in B?
a.75%
b.70%
c.90%
d.100%
e.110%
Problem – 32
Find the ratio of total students in Commerce in B to total students in Science in A?
a.8 : 15
b.8 : 17
c.8 : 13
d.8 : 11
e.8 : 9
Problem – 33
If in other section C, total students are 180 and total student in Science in C are 25% more than total students in Commerce in B, then find total students in Art & Commerce in C is how much less than total students in Art &Commerce in A?
a.55
b.60
c.65
d.45
e.35
Problem – 34
Find the average number of students in Science in A & B?
a.125/2
b.135/2
c.120
d.130
e.145
Problem – 35
If out of total students in Art in A & B, ratio of boys to girl is 5 : 3 and 7 : 4 respectively, then find total boys in Art from both sections?
a.125
b.135
c.145
d.115
e.105
Downloadable File
Find the number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.
a. 5
b. 6
c. 7
d. 8
Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number
a. 3
b. 4
c. 6
d. 9
The sum of a rational number and its reciprocal is 13/6 . Find the number
The difference of two numbers is 11 and one fifth of their sum is 9. Find the numbers
3/4th of a number exceeds its 2/3rd by 8. What is the number?
a. 96
b. 36
c. 72
d. 144
The sum of two numbers is 184. If one third of the one exceeds one-seventh of the other by 8, find the smaller number
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
a. 145
b. 253
c. 370
d. 352
A number exceeds by 25 from its 3/8 part. Then the number is?
a. 32
b. 35
c. 39
d. 40
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
a. 6, 9
b. 10, 5
c. 7, 8
d. 9, 6
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
65, 15
64, 16
62, 18
60, 20
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?
a. 42
b. 84
c. 21
d. 24
If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5?
a. 9 2/3
b. 10
c. 10 1/5
d. 11 1/5
e. None of these
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
a. 148
b. 210
c. 126
d. 248
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
a. 3
b. 5
c. 7
d. 11
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
a. 3.5
b. 6
c. 8
d. None of these
If doubling the number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
a. 2
b. 3
c. 4
d. 6
If the sum of one-half and one fifth of a number exceeds one-third of that number by 7 1/3, the number is
a. 15
b. 18
c. 20
d. 30
The sum of a number and its reciprocal is one-eigth of 34. What is the product of the number and its square root?
a. 8
b. 27
c. 32
d. 64
The sum of consecutive numbers is 87. The greatest among these three numbers is:
a. 26
b. 28
c. 29
d. 30
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
a. 9
b. 11
c. 13
d. 15
If 2 ½ is added to a number and the sum is multiplied by 4 ½ and 3 is added to the product and then dividing the sum by 1 1/5, the quotient becomes 25. What is the number?
a. 2 ½
b. 3 ½
c. 4 ½
d. 5 ½
The sum of three numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is
a. 48
b. 54
c. 72
d. 84
The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are
a. 12,5
b. 13,4
c. 14,3
d. 24,10
The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?
a. 7
b. 9
c. 11
d. Data Inadequate
e. None of these
This Lecture Contains video on Divisibility concept and Problems on Divisibility for practice.
Which one of the following numbers is divisible by 3?
a. 4006020
b. 2345678
c. 2876423
d. 9566003
The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be
a. 2
b. 3
c. 4
d. 6
Which one of the following numbers is divisible by 15?
a. 17325
b. 23755
c. 29515
d. 30560
Which one of the following numbers is divisible by 11?
a. 4823718
b. 4832718
c. 8423718
d. 8432718
7386038 is divisible by
a. 3
b. 4
c. 9
d. 11
111,111,111,111 is divisible by
a. 3 and 37 only
b. 3, 11 and 37 only
c. 3, 11, 37 and 111 only
d. 3, 11, 37, 111 and 100
Consider the following statements:
The numbers 24984, 26784 and 28584 are
(1) divisible by 3
(2) divisible by 4
(3) divisible by 9
Which of these are correct?
a. 1 and 2
b. 2 and 3
c. 1 and 3
d. 1, 2 and 3
Which of the following numbers are completely divisible by 7?
I. 195195
II. 181181
III. 120120 IV. 891891
a. Only I and II
b. Only II and III
c. Only I and IV
d. Only II and IV
e. All are divisible
If n be any natural number then by which largest number (n3 – n) is always divisible?
a. 3
b. 6
c. 12
d. 18
How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
a. 5
b. 6
c. 7
d. None of these
The smallest five digit number which is exactly divisible by 476 is,
a. 47600
b. 10000
c. 10476
d. 10472
A 4 digit number is formed by repeating a 2 digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by
a. 7
b. 11
c. 13
d. Smallest 3 digit prime number
What least number would be subtracted from 427398 so that the remaining number is divisible by 15?
a. 6
b. 3
c. 16
d. 11
e. None of these
The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:
a. 8100
b. 17600
c. 44100
d. None of these
How many numbers between 200 and 600 are divisible by 4,5 and 6?
a. 5
b. 6
c. 7
d. 8
Downloadable Material
The sum of the place values of 3 in the number 503535 is
a. 6
b. 60
c. 3030
d. 3300
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?
a. 16
b. 20
c. 35
d. 65
If x + y + z = 9 and both y and z are positive integers greater than zero, then the maximum value x can take is
a. 3
b. 7
c. 8
d. Data insufficient
98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4,1, 2, ........ is
a. 1
b. 2
c. 3
d. 4
What is the sum of the squares of the digits from 1 to 9?
a. 105
b. 260
c. 285
d. 385
Let n be a natural number such that 1/2+1/3+1/7+1/n is also a natural number. Which of the following statements is not true?
2 divides n
3 divides n
7 divides n
n > 84
What is the sum of all prime numbers from 60 to 80?
a. 361
b. 341
c. 351
d. 349
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
a. 7
b. 29
c. 41
d. 67
The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is
a. 17
b. 29
c. 37
d. 53
When 9 is subtracted from two-digit number, the number so formed is reverse of the original number. Also, the average of the digits of the original number is 7.5. What is definitely the original number?
a. 87
b. 92
c. 90
d. 69
e. 96
Let d be a two-digit number. If half of d exceeds one third of d by the sum of the digits in d, then the sum of the digit in d is
a. 6
b. 8
c. 9
d. 15
e. None of these
If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by
a. 9+k
b. 10+k
c. 11-k
d. K-1
e. None of these
The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 9. What is the difference between the two digits of the number?
a. 3
b. 2
c. 1
d. Cannot be determined
e. None of these
The sum of the digits of a two-digit numbers is 15 and the difference between the two digits of the two-digit number is 3. What is the product of the two digits of the two-digit number?
a. 56
b. 63
c. 42
d. Cannot be determined
e. None of these
In a two-digit positive number, the digit at the unit’s place is equal to the square of the digit in the ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?
a. 15.6
b. 39
c. 37.2
d. 24
e. None of these
In a three-digit number, the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?
a. 364
b. 436
c. 238
d. 634
e. None of these
A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is
a. 72
b. 32
c. 27
d. 23
e. None of these
The sum of five consecutive odd numbers is 575. What is the sum of the next set of the consecutive odd numbers?
a. 615
b. 635
c. 595
d. Cannot be determined
e. None of these
The sum of five consecutive numbers is 270. What is the sum of the second and fifth numbers?
a. 108
b. 107
c. 110
d. Cannot be determined
e. None of these
The sum of twice of a number and thrice of 42 is 238. What will be the sum of thrice of that number and twice of 42?
a. 245
b. 250
c. 264
d. 252
e. None of these
There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the sum first number and twice the second number is 120. Which is the larger number?
a. 32
b. 12
c. 14
d. 35
e. None of these
The difference between the 3/4th of 4/5th of a number and 1/6th of 2/5th of the same number is 648. What is the number?
a. 1110
b. 1215
c. 1325
d. 1440
e. None of these
The sum of two odd numbers is 38 and their product is 325. What is three times the larger number?
a. 42
b. 39
c. 75
d. 72
e. 78
Ravi bought equal number of ₹ 45, ₹ 75 and ₹ 95 valued tickets for a classical music show. He spent a sum of ₹ 3870 for all the tickets. How many of each kind of tickets did he buy?
a. 18
b. 19
c. 17
d. 20
e. None of these
Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were ₹ 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme?
a. ₹ 410
b. ₹ 450
c. ₹ 500
d. ₹ 510
The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?
a. 82
b. 83
c. 74
d. Cannot be determined
e. None of these
10 Practice Questions
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