Thursday, 22 February 2018

Tuesday, 20 February 2018

Maths questions for SSC CGL Examinations and RAILWAY

Maths Questions for SSC CGL, BANK and RAILWAYS Exams

Q1. A train travelled a distance of 900 km. It developed an engine problem after travelling for some distance. It travelled the remaining distance at 3/5th of its speed. It reached 1 hour late. If the engine problem had developed after it had travelled for another 150 km, it would have reached 1 hour earlier than the time it actually reached. Find the original speed (in km/hr) of the train during the journey?
(a) 100
(b) 125 
(c) 150 
(d) 75
(e) None of these

Q2. Akshay starts working on a job and continues for 15 days and completes 36% of the work. To complete the work, he employs Monika and together they work for 20 days and completed the work.  What will be the efficiency ratio of Akshay and Monika?
(a) 7 : 5
(b) 4 : 3
(c) 5 : 3
(d) 1 : 3
(e) 3 : 1

Q3. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was: 
(a) 2 : 1
(b) 1 : 4
(c) 1 : 2
(d) 4 : 1
(e) None of these 

Q4. A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 grams i.e., he takes 1100 gram from his supplier and sells only 900 grams to his customer. What is his net profit percentage? 
(a) 24.5%
(b) 17.33%
(c) 25%
(d) 32.5%
(e) 20%

Q5. Sandesh got Rs 6000 as his share out of the total profit of Rs 9000 which he and Sanket earned at the end of one year. If Sandesh invested Rs 20000 for 6 months, whereas Sanket invested his amount for the whole year, the amount invested by Sanket was 
(a) Rs 60000
(b) Rs 10000
(c) Rs 40000
(d) Rs 5000
(e) None of these

Solutions (1-5):



Q6. Avanish and Bikas entered into partnership with Rs 700 and Rs 600 respectively. After 3 months Avanish withdrew  of his stock but after 3 months more he put back  of what he had withdrawn. The profits at the end of the year are Rs 726, how much of this should Avanish receive? 
(a) Rs 633
(b) Rs 336
(c) Rs 663
(d) Rs 366
(e) None of these

Directions (Q7-8): The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. 

Q7. What is the value of a two–digit number?
A. The sum of the digits is 5. 
B. The difference of the squares of the digits is 15. 
C. The difference of their digits is 3. 
(a) A and B together are sufficient 
(b) B and C together are sufficient
(c) C and A together are sufficient
(d) Any one pair of A and B, B and C or C and A is sufficient
(e) A, B and C together are necessary 

Q8. What is the perimeter of a rectangular field? 
I. The area of the field is 2400 sq.metres. 
II. The diagonal of the field is 50 metres. 
III. The ratio between the length and the breadth of the field is 3 : 2. 
(a) All I, II and III together are required 
(b) Any two of I, II and III are sufficient 
(c) Only I and II are required 
(d) Only II and III are required 
(e) None of these 

Directions (Q.9-10): Study the following information carefully to answer the questions that follow : 
A box contains 2 blue marbles, 4 red marbles, 5 green marbles and 1 yellow marble. 

Q9. If four marbles are picked at random, what is the probability that none is green? 
Q10. If two marbles are picked at random, what is the probability that both are blue? 

Solutions (6-10):

Directions ( 11 – 15): Study the following pie chart and answer the following questions.

Percentage distribution of Income of 7 firms in year 2010 and 2013 is given below in pie chart. Percentage distribution of some firms are not given. You have to calculate these values if required to answer the questions.

Q11. If expenditure of B in 2010 is 80% of its income and expenditure of E in 2013 is 60% of its income and income of E in 2013 is 100/3% more than the income of E in 2010 then saving of B in 2010 is what percent of saving of E in 2013. 
Q12. What is the ratio of average income of firm A, B and E together in 2010 to the average of income of firm B, C and D together in 2013.
(a) 203 : 201 
(b) 133 : 123
(c) 185 : 126 
(d) 119 : 143 
(e) None of these

Q13. If income of firm E in 2013 is  of income of E in 2010 and ratio between percentage distribution of  income of firm F and G is 11 : 8 in 2013 then what is the percentage distribution of income of firm F in 2013? 
Q14. Income of firm A, B and E together in 2010 is approximate what % more or less than income of firm C, D and E together in 2013 if income of firm E in 2013 is 50% more than income of firm A in 2010 (approximately)?  
(a) 7%
(b) 5%
(c) 5.1%
(d) 8%
(e) 48%

Q15. If income of firm A and B together in 2013 is 120% of income of firm A and B together in 2012 then income of firm A and B together increase/decrease by what percent approximately in 2012 with respect to 2010. 
(a) 30%
(b) 23%
(c) 20%
(d) 9%
(e) 12%

Solutions (11-15):




maths Questions for Competitive Examinations by rakesh chaturvedi sir

Maths Question for Syndicate Bank PO and Clerk exams

Directions (1-5): In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer
Solutions (1-5):


Directions (6-10): In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer
Solutions (6-10):
Directions (11-15): In each of the following questions two equations are given. Solve the equations and give answer.

Solutions (11-15):





Maths Questions for SSC CGL Examinations and Railways Exams


1. Aadesh bought a combined total of 25 monitors and printers. He marked up the monitors by 20% on CP while each printer was marked up by Rs. 2000. He was able to sell 75% of the monitors and 2 printers and make a profit of Rs. 49,000. The remaining monitors and 3 printers could not be sold by him. Find his overall profit or loss if he gets no return on unsold items and it is known that a printer costs 50% of a monitor.
(a) Loss of Rs. 48,500
(b) Loss of Rs. 21,000
(c) Loss of Rs. 41,000
(d) Data Inadequate
(e) None of these

2. A rickshaw dealer buys 30 rickshaws for Rs.4725. Of these, 8 are four seaters and rest are two seaters. At what price must he sell the four seaters so that if he sells the two seaters at 3/4th of this price, he makes a profit of 40% on his outlay.
(a) Rs. 180
(b) Rs. 270
(c) Rs. 360
(d) Rs. 450
(e) None of these

3. Ritesh bought 25 washing machines and microwave ovens for Rs. 2,05,000. He sold 80% of the washing machines and 12 microwaves ovens for a profit of Rs 40,000. Each washing machine was marked up by 20% over cost and each microwave oven was sold at a profit of Rs. 2,000. The remaining washing machines and 3 microwave ovens could not be sold. What is Raghav’s overall profit/loss?
(a) Rs. 1000 profit
(b) Rs. 2500 loss
(c) Rs. 1000 loss
(d) Cannot be determined
(e) None of these.

4. A flat and a piece of land were bought by two friends Tarun and Varun respectively at prices of Rs. 2Lakh and Rs. 2.2 Lakh. The price of the flat rises by 20% every year and that of land by 10% every year. After two years, they decided to exchange their possessions. What is approx. percentage gain of the gainer?
(a) 7.56%
(b) 6.36%
(c) 4.39%
(d) 3.36%
(e) None of these

5. Sunil calculates his profit percentage on the selling price whereas Sujeet calculates his profit on the cost price. They find that the difference of their profits is Rs. 900. If the selling price of both of them are the same, and Sunil gets 50% profit and Sujeet gets 40% profit, then find their selling price.
(a) Rs 4200
(b) Rs 4500
(c) Rs 4000
(d) Rs 4800
(e) None of these

6. A reduction of 10% in the price of salt enables a person to buy 2 kg more for Rs.180. Find the reduced and the original price per kg of salt respectively.
(a) Rs 10, Rs 9
(b) Rs 9, Rs 10
(c) Rs 18, Rs 20
(d) Rs 20, Rs 18
(e) Rs 18, Rs 16.2

7. A person sold his watch for Rs. 24. If the percentage of his loss was equal to the cost price , then the watch would have cost him
(a) Rs. 40
(b) Rs. 60
(c) Rs. 50
(d) Rs. 80
(e) None of these

8. A man buys two horses for Rs. 1550. He sells one so as to lose 23% and other so as to gain 27%. On the whole transaction he neither gains nor loses. What does each horse costs?
(a) 807,743
(b) 817,733
(c) 827,723
(d) 837,713
(e) None of these

9. An orange vendor makes a profit of 20% by selling oranges at a certain price. If he charges Rs. 1.2 higher per orange he would gain 40%. Find the original price at which he sold an orange.
(a) Rs. 3
(b) Rs. 12
(c) Rs. 4.8
(d) Rs. 6.0
(e) None of these

10. After selling a watch, shyam found that he had made a loss of 10%. He also found that had he sold it for Rs.27 more, he would have made a profit of 5%. the actual initial loss was what percentage of the profit earned,had he sold the watch for a 5% profit?
(a) 23%
(b) 150%
(c) 200%
(d) 180%
(e) None of these.

Thank you Insomniac and Bedanshu .


Answers & Explanation;

1. a
2. b
3. c
4. e  (8.189 approx. )
5. a
6. b
7. e (Either Rs 40 or Rs 60)
8. d
9. e (Rs. 3.60)
10. c

Explanation:

1.Total Number of printers = 5 (2 sold , 3 unsold)
Monitors = 20.
Profit made on Printers sold = 2000*2 = 4000.
Monitors sold = 20*75% = 15
Profit made on Monitors sold = 49000-4000 = Rs.45000.
Profit made per monitor = 45000/15 = 3000.
20% of CP of Monitor = 3000
CP of Monitor = 15000.
CP of Printer = 7500
Total CP = 15000*20 + 7500*5 = 3,37,500
Total SP = 18000*15 + 9500*2 = 2,89,000
Loss = 48,500 

2. Total investement = Rs. 4725
Total SP = 1.4*4725 = 6615
Now, Let the price of 4 seater be x then price of two seater will be .75x.
8x + 22*0.75x = 6615
24.5x= 6615 or x = 270

3.  Total number of Microwave ovens = 15 (12 sold +3 unsold)
Hence, Washing machines = 10
He sold 12 ovens and 8 washing machines
Hence, In total he sold 80% of both
Thus, He sells 80% of both at a profit of Rs. 40,000.
Cost of 80% of the goods = 0.8*2,05,000 = 1,64,000
Hence, Total SP = 1,64,000+40,000 = 2,04,000
CP = 2,05,000
Loss = Rs.1000

4. After 2 years :-
Flat would be worth = 2Lakh* 1.2*1.2 = Rs. 288000
Land would be worth= 2.2Lakh*1.1*1.1 = Rs. 266200
Profit of the Gainer = Rs. 21800
Profit % of the gainer = 21800*100/266200= 8.189(approx)
Also if loss% woudd have been asked of the loser
loss% = 21800*100/288000 = 7.56 (approx. )

5. Let SP be Rs. 100
CP for Sunil = => (SP-CP)*100/SP = 50
CP for Sunil ==> (100-CP)*100/100 = 50 or CP = Rs. 50
(Divided by SP as Profit calculated on SP)
Profit for Sunil = 100-50 = Rs 50
Now, CP for Sujeet = (SP-CP)*100/CP = 40
(100-CP)*100= 40CP or CP for Sujeet= Rs. 1000/14
Profit for Sujeet = 100-100/14 = 400/14
Now, Difference in profit when SP is 100 = 50-400/14 = 300/14.
Now, Equating difference and SP, we have
300/14 : 100 : : 900 : SP
SP = 900*100*14/300 = Rs. 4200

6 . Let originally he buy X kg for Rs. 180
Now, he will buy X+2 kg for Rs. 180.
Reduction in original price =10%
(180/X)/kg*90/100 = [180/(X+2)]/kg
90(X+2) = 100X
X = 18
Therefore, Originally he bought 18kg.
Original Price = Rs. 10/kg
Reduced Price = Rs. 9/kg

7. SP = Rs. 24
Let CP be X hence, Loss% = X
(X-SP)*100/X = X or (X-24)*100/X = X
X^2-100X+2400 = 0
(X-60)(X-40) = 0
X= 60 or 40

8. Let CP of one be X and other be Y
X+Y = 1550….(i)
ATQ:-
0.77X + 1.27Y = 1550…(ii) (as no profit and no loss is there)
Solving both, we get
50Y = 35650 or Y = 713
Hence, X = 1550-713 = 837
Therefore, CP of each horse = 837,713

9. Let the CP be Rs. x/ orange
Profit = 20%
SP = Rs. 1.20x
Now, If case :-
SP =x+ Rs.1.2
Profit = 40%
Therefore, we can say
1.40x = x+1.2 or x = Rs. 3
Hence, Original SP = Rs 1.2x = Rs. 3.60/-

10. Profit= 5% (If case )
5% of CP ------> Rs. 27
So, CP = Rs. 540
Now, Loss% = 10
Loss =Rs. 54
Required % = 54*100/27 = 200%


RR ACADEMY: A well known teacher in ganga nagar meerut Er. Rak...

RR ACADEMY: A well known teacher in ganga nagar meerut Er. Rak... : Er. Rakesh chaturvedi sir best teacher for cbse board students and icse ...