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How to find unit digit
Fraction
Ranking
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How to find unit digit
Fraction
Ranking
Que 1
The average weight of 40 students is 30 and average weight of 20 students is 15 find average weight of combined class
40 छात्रों का औसत वजन 30 है तथा 20 छात्रों का औसत वजन 15 है तो कुल औसत वजन क्या होगा
Que 2
The average weight of a class of a student is 15 and that of other is 30 average weight of combined class is 25 find ratio of number of students from first class to another class
यदि एक कक्षा के छात्रों का औसत वजन 15 तथा दूसरी कक्षा के छात्रों का औसत वजन 30 है यदि दोनों कक्षाओं के छात्रों का औसत वजन 25 किलोग्राम है तो दोनों कक्षाओं के छात्रों की संख्याओं का अनुपात बताइए
Que 3
Two varieties of soda water are mixed in the ratio of 2:3 The price of first soda water is 10 per litre and other is of 15 per litre find average price per litre of mixture
दो तरह के सोडा वाटर की मिश्रण का अनुपात 2:03 है पहली प्रकार के सोडा वाटर का दाम ₹10 प्रति लीटर तथा दूसरे प्रकार के सोडा वाटर का दाम ₹15 प्रति लीटर है तो दिए गए मिश्रण का औसत दाम प्रति लीटर क्या होगा
Que 4
A shop sold 30% of hardware at a profit of 50% and 90% of software at a profit of 10%
Find average profit percent of shop
एक दुकानदार ३०% हार्डवेयर का सामान बेचने पर 50 % का लाभ कमाता है तथा 90 % सॉफ्टवेयर का सामान बेचने पर 10% का लाभ कमाता है तो उसका कोई औसत लाभ प्रतिशत क्या होगा
Que 5
A man covered 150 km distance in 10 hours he covered his first part with a car of speed 20km/hr and then with a rickshaw at 12 km/hr find distance covered with a car and rickshaw
एक व्यक्ति 150 किलोमीटर की दूरी 10 घंटे में तय करता है यदि वह कुछ ऐसे की दूरी एक कार से 20 किलोमीटर प्रति घंटा की चाल से तथा फिर कुछ दूरी 16 से 12 किलोमीटर प्रति घंटे की चाल से तय करता है तो उसने कार से तथा रिक्शे से कितनी कितनी दूरी चली
Que 1
A can type a report in 16 hours and B can do the same job in 12 hours with the help of C they complete the report in 6 hours then C alone can type the report in how many hours
a) 48h
b) 42 h
c) 45 h
d) 49 h
Ans (a)
Que 2
Working together P and Q can do a job in 6 days Q and R can do the same job in 10 days while P and R can do it in 5 days how long will it take if all of them work together to complete the job
a) 4(2/7)
b) 4(3/7)
c) 4(4/7)
d) 4(5/7)
Ans (a )
Que 3
Sudha can do a work in 10 days Rani can do the same work in 40 days if they work at it on alternate days Sudha beginning the work then in how many days the work will be completed
a) 12 days
b) 8 days
c) 16 days
d) 14 days
Ans (c)
Que 4
A is twice as good a workman as B and together they finish a piece of work in 24 days in how many days B will be alone finish the work
a) 63
b) 75
c) 60
d) 72
Ans (d)
Que 5
A can do a piece of work in 12 days and B in 16 days after working for 4 days with A B leaves the work In how many more days will A finish the remaining work
a) 5
b) 12
c) 8
d) 9
Ans ( a )
Que 6
Anita can do a work in 30 days Sunita is 25% more efficient than Anita the number of days taken by Sunita to do the same work is
a) 27
b) 30
c) 24
d) 33
Ans (c)
Que 7
A completes 60% of a task in 15 days and then takes the help of B and C B is 50% as efficient as A and C is 50% as efficient as B in how many more days will they complete the work
a) 5(5/7)
b) 5/7
c) 5
d) 15
Ans (a )
Que 8
Working 7 hours daily 24 men can complete a piece of work in 27 days in how many days would 14 men complete the same piece of work working 9 hours daily
a) 29 days
b) 39 days
c) 36 days
d) 30 days
Ans ( c)
Que 9
A and B can do a piece of work separately in 8 hours and 12 hours if they work alternate hours A starting when will the work be finished
a) 9¹/2
b ) 9
c) 8¹/2
d) 8
Ans (a)
Que 10
X can do work in 4 days Y can do the same work in 9 days both of them finish the work together and get 2600 rupees find the share of X and Y
a) 1800,800
b ) 2000,600
c) 1500,1100
d) 1900,700
Ans (a)
Some More Questions --
If a person complete its work in 10 days and another person complete similar work in 15 days in how many days the work will be completed if both of them work together
Three persons A,B and C complete a work in 10 days 15 days and 20 days respectively if they all work together in how many days the complete the whole work
If a man completes a work in 10 days and another man completes a work in 15 days if both of them will work together in how many days we will finish work
यदि एक व्यक्ति किसी काम को 10 दिन में पूर्ण करता है तथा दूसरा व्यक्ति उसी काम को 15 दिन में फोन करता है दोनों मिलकर उसी काम को करते हैं तो कितने दिन में काम खत्म होगा
Which one is bigger
(√17-√15)or (√24-√23)
Which is bigger surd and which is smaller
⁶√6,³√7,⁴√8
SSC CHSL quantitative aptitude -Decimal and Fraction
Lecture 1
Find value of
1/ (2×3). + 1/(3×4). + 1/ ( 4×5) ......1/ (9×10)
Find value of
1/(1×4). +1/(4× 7)...........1/(16×19)
Que 1
Find the amount on 12000 at 10% per annum for 2 years and 6 months compounded annually
a) Rs 14675
b) Rs 15246
c) Rs 14850
d) Rs 15940
Ans ( b )
Que 2
Find the compound interest on rupees 4000 at 12% for 1 year compounded half yearly
a) Rs 480.20
b) Rs 410.20
c) Rs 494.40
d) Rs 475.40
Ans ( c)
Que 3
Find the compound interest on 20000 at 12% per annum for 6 months compounded quarterly
a) Rs 1415
b) Rs 1096
c) Rs 1218
d) Rs 13212
Ans ( c )
Que 4
The simple interest on a sum of money for 2 years at 8% per annum is rupees 120 what will be the compound interest on the same sum at the same rate for the same time
a) 124.80
b) 110.20.
c) 145.15
d) 136.25
Ans ( a )
Que 5
A man borrows 5000 rupees from a bank at 8% per annum compound interest At the end of every year he pays rupees 1000 as a part payment of loan and interest How much does he still go to the bank after three such installments
a) 3052.16
b) 3442.20
c) 3616.84
d) 3824.40
Ans ( a)
Que 6
A sum of rupees 4410 was taken as a loan this is to be repaid in two equal installment if the rate of interest is 10% per annum compounded annually the value of each installment is
a) 2545
b ) 2632
c) 2484
d) 2541
Ans ( d )
Que 7
Difference between simple and compound interest on a certain sum of money for 3 years at 5% per annum is 61 find the sum
a) 5500
b) 7500
c ) 8000
d) 9300
Ans (c )
Que 8
Simon borrows equal sum every year at 10% compound interest at the end of year he pays rupees 14564 find the amount of money Simon borrowed every year
a) 4000
b) 3500
c) 3600
d) 5000
Ans ( a )
Que 9
The present worth of Rs 2809 due 2 years hence 6 % per annum is
a) 2100
b) 2600
c) 2400
d) 2500
Ans ( d )
Que 10
Effective annual rate of interest corresponding to a nominal rate of 4% per annum payable half-yearly is
a) 4.04%
b) 4.15%
c) 4.18%
d) 4.10 %
Ans. ( a )
Simple interest formula
SI = (P×R×T)/100
Where P is principal that is money that is borrowed
R is the Rate which is charged It is generally represented in %
T is the time for which money is lended
Amount paid after tenure is completed can be calculated using formula
A = P+I
Compound Interest
Here we firstly calculate amount paid to lender then afterwards we calculate interset paid to lender by subtracting it with principal
Formula for calculating compound interest
A=P(1+R/100)^n
Where
A -- Amount paid to lender after given interval of time
P - Principal ie money borrowed
R--Rate of interest charged
It can be annually ,half yearly,quaterly
T - Time It is generally given in terms of years
In order to calculate compound interest we use the formula
CI = A. - P
Compound Interest is always greater than simple interset
If we calculate compound interest half yearly then
Time = Time in months / 6
Rate = Rate /2
If we calculate compound interest quaterly
Then
Time = Time in months / 3
Rate = Rate / 4
Que 1
By selling a radio for rupees 1440 a person gets a profit of 20% the cost price of the article
a) 1175
b) 1225
c) 1200
d) 1150
Ans ( c )
Que 2
A man buys 20 articles for a rupee how many articles for a rupee did he sell to get a loss of 20%
a) 28
b) 25
c) 24
d) 21
Ans ( b )
Que 3
A man buys two hens for rupees 500 each he sold one for 15% profit and other for 5% loss find his profit percent
a) 5%
b) 10%
c) 15%
d) 12%
Ans (a )
Que 4
A trader professes to sell his goods at cost price but he uses a false weight of 800 gram for 1 kg find his gain percent
a) 25%
b) 21%
c) 18%
d) 16%
Ans ( a )
Que 5
A trader sells two watches he has a profit of of 15% on the first watch and a loss of 10% on the second watch if the ratio of the two investment is 3:5 what is the gain or loss on the to investment taken together
a) 0.675%gain
b) 0.5 % loss
c) 0.675 % loss
d) 0.5% gain
Ans (c )
Que 6
A buys an article and sells it to B at a profit of 10% B sell it to C gaining 20% C pays rupees 1848 for the article find the cost price of A
a) 1400
b) 1428
c) 1560
d) 1540
Ans (a )
Que 7
Trader mark his product 30% above cost price He sells the product and allow 10% trade discount in order to ensure prompt payment he further gives cash discount of 10% if he makes profit of Rs 106 from the transaction find the cost price of the product
a) 1800
b) 2000
c) 1600
d) 2400
Ans ( b )
Que 8
After successive discounts of 30% 20% and 10% a customer has to pay rupees 252 what is the list price of the article
a) 400
b) 500
c) 600
d) 350
Ans (b)
Que 9
What percent selling price would be 34% of cost price if gross profit is 26% of selling price
a) 25.16%
b) 74%
c) 17.16%
d) 88.40%
Ans ( a)
Que 10
Sketch discount is 10% a book bought for rupees 9 is valued at
a) 12
b) 11
c) 10
d) 8
Ans ( c)
profit =SP-CP
Loss= CP-SP
Profit%=(profit/CP)×100
Loss%=(loss/CP)×100
How to find HCF and LCM of
16,20,36,48
-- using prime factorisation method
---using long division method
---of the numbers which are written in decimal form
2.4,0.36.7.2 (HCF)
1.08,0.36,0.9(LCM)
--Of numbers in fractions
2/3,4/5,6/7 (HCF)
1/3,2/9,5/6,4/27( LCM )
If number are given in exponent form
2⁵×5³×7²
2⁴×3²×5
2³×5²×3³×7
In order to understand how to solve above watch the attached lectur
Lecture ---
What is the greatest number which divides the two numbers 110and 128 and leaving same remainder 2 in each case
What is the greatest number which divides the two numbers 307 and 330 and leaving the different remainders 3 and 7 respectively
Which greatest number will divide 3026 and 5053 leaving a remainder 11 and 13
Lecture --
Five bells are started ringing at the same time and again rung at the intervals of 6,7,8,9,12 time then after how much time all the bells are ringing at same time
Three bells rings at intervals of 6 ,24 ,28 seconds if they rang together at 1 p.m. then and how many times they ring in one hour altogether
Lecture 6
Tricks in HCF And LCM must watch
Find the smallest digit which when divided by 5, 10 ,12 and 15 and the remainder of 2 but when we divided by 7 there is no remainder
If ratio of the two numbers is 5:6 If their HCF is 4 find their LCM
Lecture 7
Find the greatest four digit number which when divided by 12,15,18,27 is completely divided
Find the smallest 5 digit number which when divided by 3,5,8,12 gives always a remainder of 2
Find the smallest 5 digit number which is completely divisible by 12 ,18 and 21
Find the greatest number which when divided by 1356 ,1868 ,2764 always gives a remainder of 12
Find the smallest digit which when divided by 12 ,18 and 30 always gives remainder of 9
Find the greatest digit when divided by 25, 73 and 92 always give the same reminder
Finder greatest number which when divided by 307 and 330 gives the remainder of 3 and 7
Find the smallest digit number which when divided by 12, 15 and 16 gives remainder of 7, 10 and 11
SSC quantitative aptitude - Number System
Trick to multiply two numbers
Mock Test Series
Que 1 ---
How to convert any number in binary digit
Convert 101 in binary digit
किसी भी संख्या को बाइनरी डिजिट में कैसे बदलते हैं
25 को बाइनरी अको मे लिखिए
Que 2 --
If 79x0000 1y6 find value of x and y
दी गई संख्या में x तथा y का मान बताइए--- 79x00001y6
Que 3---
If an angle is 2/ 3 of its supplementary angle find the value of angle
एक और अपने अनुपूरक का 2 /30 कोणहै तो कोण का मान बताइए
Que 4
Selling price of an object is rupes 855 after discount of 5% find the cost price of the object
यदि 5 % की छूट के बाद विक्रय मूल्य ₹855 है वस्तु का अंकित मूल्य ज्ञात कीजिए
Que 5 ---
Which of equation has real roots
निम्न समीकरण में किस समीकरण के मान वास्तविक हैं
1) 4x²-9x+6
2) 3x²-2x+6
3) 2x²-7x+6
4)2x²-2x +2
Solution----
Lecture 2
Questions covered in given lecture
Que 1----
2x+6y = 3xy
10x -3y= 4xy
The value of x,y is
a) 3,2
b) 2,3
c) 4,6
d) 6,4
Que 2--
बिंदु Q(a,b) प्रथम yअक्ष पर Q1 पर प्रतिबिंबित होता है फिर x अक्ष(-5,3) पर प्रतिबंबित होता है (a,b) का मान बताइए
Point Q is reflected on y-axis at Q1 and then on x axis at (-5,3) then find value of (a,b)
Mock Test series
Part 1
Divisibilty Rule
नीचे दिए गए वीडियो में विभाजिता के नियम को समझाया गया है जैसे
2----2,4,6,8
कोई भी गिनती 2 से भाग होगी जब आखरी win32 से भागो या आखरी में जो 2,4,6,8 या 0हो
4 कोई भी गिनती 4 से जब होगी जब आखरी की दो संख्याएं 4 से भाग हो जाए
कोई भी गिनती 5 से भाग होगी जब आप आखिरी में 5 या 0 हो
3,11,8 से भाग होने वाली गिनती के लिए पूरा वीडियो देखें
Part 2
How to find total number of factors and total number of even or odd factors
Part 5
Tricks to solve algebraic equations
If x= √5-√4
Then find 1/ x
Part 5
to find which number comes in unit place after squarring that number
1) if last digit is 0 then 0
2) if last digit is 1or 9 then last digit is 1
1*1=1 and 9*9= 81
we can observe in both cases we get 1at unit place
3) if last digit is 2 or 8 then in ans we have 4 at unit place
2*2 =4 and 8*8=64
so we got 4 at unit place
Que
Which car constitute 20% of total car produced in 2015
Solution
Topic covered in lecture attached below
1) how to find mean
माध्य किस प्रकार निकालते हैं
2) fomula for median for both cases even and odd
संख्या विषम संख्या दोनों ही स्थिति में मध्यिका कैसे निकालते हैं
3) how to find mode of any data
बहुलक किसे कहते हैं तथा बहुलक किस प्रकार निकालते हैं
Questions explained
यदि 5 वस्तुओं का माध्य 6 है तथा 3 वस्तु का माध्य 4 है तो बची हुई दो वस्तुओं का माध्य क्या होगा
Mean of five things is 6 is mean of 3 things is 4 then find the mean of two things
किसी कक्षा में कुल 100 बच्चे है इनके वजन का माध्य 45 किलोग्राम है यदि एक अध्यापक जिनका वजन 48 किलोग्राम है उनको भी जोड़ दिया जाए तो नया माध्य क्या होगा
In a class of hundred students the mean of their weight is 45 kg if one teacher whose weight is 48 kg is also added then what is the new mean
किसी कक्षा में कुल 100 बच्चे हैं जिनकी वजन का मात्र 45 किलोग्राम है यदि एक बच्चा जिसका वजन 44 किलोग्राम है वह चला जाए तब नया माध्य क्या होगा
In a class of hundred students they are made of 45 kg child having weight 44 kg left the class what is the new mean of the weight of the student
Que 1
If income of A is 10% more than income of B so B's income is less than A's income by
a) 7¹/2%
b) 8¹/3%
c) 10%
d) 9¹/11%
Ans ( d )
Que 2
3 litres of water is added to 15 litres of alcohol in the water solution containing 40% of alcohol strength of alcohol in the new solution will be
a) 33¹/3%
b) 33%
c) 30%
d) 31%
Ans ( a)
Que 3
The price of a book is first increased by 20% then decreased by 10% of the price of the book is now rupees 216 what was the original price of the book
a) 250
b) 200
c) 150
d) 300
Ans (b )
Que 4
An examination of certain number of questions a student reply 24 out of 25 questions correctly of the remaining questions he answered to 5th correctly all the questions have the same credit if the student get 75 percentage marks what are the total number of questions in the examination
a) 49
b) 45
c) 40
d) 42
Ans (c )
Que 5
In a class 40% of the student are the boys 70% of the boys score more than 80% marks in a test if 45% of the class is ko more than 80% in the test what fraction of the girls in the class scores less than or equal to 80%
a) 1/3
b) 2/3
c) 7/10
d) 5/6
Ans (c)
Que 6
A series of discounts of 20% 10% and 10% is equivalent to a single discount
a) 40%
b) 35%
c) 30%
d) 45%
Ans (b )
Que 7
In measuring the sides of a rectangular plot one side is taken 5% in excess and other 6% deficient the error percentage in area of the plot is
a) 1%
b) 1.3 %
c) 1.5%
d) 3%
Ans (b)
Que 8
20% of a = 25% of b= 30% of c = 10% of d =k>1, then the largest of 2a,3b,6c,and d is
a) 2a
b) 3b
c) 6c
d) d
Ans (c )
Que 9
A person spends 40% of his salary on his educational expenses He spends 60% of it in purchasing books and one half of the remaining in purchasing stationery items if he saves rupees 160 every month which is one fourth of the balance after spending over books and stationery items what is his monthly salary
a) 8000
b) 4800
c) 9600
d) none
Ans (a )
Que 10
The price of oil is reduced by 5% how many litres of oil can now be bought for the money which was sufficient to buy 38 litres of oil earlier
a) 42.5 L
b ) 42 L
c) 40L
d) 40.5 L
Ans (c)
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