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The below graph shows the speed (in kmph) of 2 persons while travelling by different mode of transport

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The following table shows the percentage of distance travelled by both the persons P and Q by different modes of transport

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1) If person Q completed his journey by ship in 3.75 hours, then what is the average of the distance travelled by him by train, by bus and by car?
यदि व्यक्ति Q ने जहाज से अपनी यात्रा 3.75 घंटे में पूरी की, तो उसके द्वारा ट्रेन, बस और कार द्वारा तय की गई दूरी का औसत क्या है?
A.200km

B.225km

C.250km

D.275km

E.None of these

2) Suppose, Instead of train, the person P uses Car and if the speed of car is 20% more than the speed of train, then approximately how many hours the person P would save? (Total distance travelled by person P by train is 300km)
मान लीजिए, ट्रेन के बजाय, व्यक्ति P कार का उपयोग करता है और यदि कार की गति ट्रेन की गति से 20% अधिक है, तो व्यक्ति P लगभग कितने घंटे बचाएगा? (व्यक्ति P द्वारा ट्रेन द्वारा तय की गई कुल दूरी 300 किमी है)
A.1 hour

B.1.25 hours

C.1.5 hours

D.2 hours

E.None of these

3) Which of the following statement is definitely true? (Assume that the total distance travelled by person P is 1200km and the total distance travelled by person Q is 1500km)
निम्नलिखित में से कौन सा कथन निश्चित रूप से सत्य है? (मान लें कि व्यक्ति P द्वारा तय की गई कुल दूरी 1200 किमी है और व्यक्ति Q द्वारा तय की गई कुल दूरी 1500 किमी है)

I: Person P completed his journey by Bus in 6 hours.
I: व्यक्ति P ने बस से अपनी यात्रा 6 घंटे में पूरी की।

II: Person Q completed his journey by Flight in 9 hours.
II: व्यक्ति Q ने उड़ान से अपनी यात्रा 9 घंटे में पूरी की।

III: Total time of 12 hours taken by person P to complete his journey by bus and car together.
III: व्यक्ति P द्वारा बस और कार द्वारा अपनी यात्रा को एक साथ पूरा करने में लिया गया कुल 12 घंटे का समय।

A.Both I and II

B.Both II and III

C.Only I

D.Only II

E.Only III

4) If person Q completes his journey by Flight in 9 hours, then what is the total distance travelled by person Q in his whole journey?
यदि व्यक्ति Q अपनी यात्रा 9 घंटे में पूरी करता है, तो व्यक्ति Q द्वारा अपनी पूरी यात्रा में तय की गई कुल दूरी कितनी है?
A.1200km

B.1300km

C.1500km

D.1600km

E.None of these

5) If person P travels 300km by train, then what is the total time taken by person P to travel by Bus and Car together?
यदि व्यक्ति P ट्रेन से 300 किमी की यात्रा करता है, तो व्यक्ति P द्वारा बस और कार द्वारा एक साथ यात्रा करने में लिया गया कुल समय कितना है?
A.4 hours

B.8 hours

C.12 hours

D.15 hours

E.None of these

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1) Answer: D

Distance travelled by Q = Y km

Distance travelled by ship by person Q = 60 * 3.75 = 225 km

Y * 15/100 = 225

=> Y = 1500 km

Distance travelled by train by person Q = 1500 * 20/100 = 300km

Distance travelled by Bus by person Q = 1500 * 10/100 = 150km

Distance travelled by Car by person Q = 1500 * 25/100 = 375km

Average distance = (300 + 150 + 375)/3 = 275km

2) Answer: B

Speed of car = 120/100 * 40 = 48kmph

Required time = 300/40 – 300/48 = 1.25 hours

3) Answer: B

From I => Time taken by person P by Bus = (20% of 1200)/60 = 4 hours ≠ 6 hours

This statement is not true.

From II => Time taken by person Q by Flight = (30% of 1500)/50 = 9 hours

This statement is true.

From III => Time taken by person P by bus and car together = (20% of 1200)/60 + (40% of 1200)/60 = 12 hours

This statement is true.

4) Answer: C

Total distance travelled by person Q = Y km

Distance travelled by person Q by flight = 50 * 9 = 450km

Y * 30/100 = 450 => Y = 1500km

5) Answer: C

Total distance travelled by P = X km

25/100 * X = 300 => X = 1200km

Time taken by P to travel by train and Car = (1200 * 20)/(60 * 100) + (1200 * 40)/(60 * 100)

= 4 + 8 = 12 hours

The following pie charts represents percentage wise distribution of incomes (in Rs.) and expenditure (in Rs.) of five employees

Total income = Rs.180000

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Total expenditure = Rs.90000

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6) If the income of C is increased by 20% and income of E is increased by 10%, incomes of C and E together is what percent of total income?
यदि C की आय में 20% की वृद्धि होती है और E की आय में 10% की वृद्धि होती है, तो C और E की कुल आय कुल आय का कितना प्रतिशत है?
A.35.9%

B.39.3%

C.43.1%

D.49.2%

E.None of these

7) If the expenditure of A is increased by 30%, find the percentage decrease in savings?
यदि A के व्यय में 30% की वृद्धि की जाती है, तो बचत में प्रतिशत की कमी ज्ञात कीजिये?
A.35.4%

B.37.5%

C.43.1%

D.49.2%

E.None of these

8) Find the respective ratio of Income of B and D together and expenditures of C and E together.
B और D की एकसाथ आय और C और E के एकसाथ व्यय का संबंधित अनुपात ज्ञात कीजिए।
A.25: 47

B.80: 37

C.45: 37

D.60: 37

E.None of these

9) Incomes of A and B together is what percentage of savings of B and E together? (approx.)
A और B की एकसाथ आय, B और E की मिलाकर बचत का कितना प्रतिशत है? (लगभग।)
A.156%

B.170%

C.261%

D.275%

E.290%

10) Find the sum of savings of all the employees?
सभी कर्मचारियों की बचत का योग ज्ञात कीजिए?
A.Rs.45000

B.Rs.90000

C.Rs.50000

D.Rs.58000

E.None of these

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6) Answer: D

Income of C = 30% of 180000 = Rs.54000

Increased income of C = 120/100 * 54000 = Rs.64800

Income of E = 12% of 180000 = Rs.21600

Increased income of E = 110/100 * 21600 = Rs.23760

Required % = (64800 + 23760)/180000 * 100 = 49.2%

7) Answer: B

Income of A = 18% of 180000 = Rs.32400

Expenditure of A = 20% of 90000 = Rs.18000

Savings = 32400 – 18000 = Rs.14400

Increased expenditure = 18000 * 130/100 = Rs.23400

New savings = 32400 – 23400 = Rs.9000

Required % = (14400 – 9000)/14400 * 100 = 37.5%

8) Answer: B

Incomes of B and D together = (25 + 15)% of 180000 = Rs.72000

Expenditures of C and E together = (14 + 23)% of 90000 = Rs.33300

Required ratio = 72000: 33300 = 80: 37

9) Answer: C

Incomes of A and B together = (18 + 25)% of 180000 = Rs.77400

Incomes of B and E together = (25 + 12)% of 180000 = Rs.66600

Expenditures of B and E together = (18 + 23)% of 90000 = Rs.36900

Savings of B and E together = 66600 – 36900 = Rs.29700

Required % = 77400/29700 * 100 = 260.6% ≈ 261%

10) Answer: B

Savings of A = 18% of 180000 – 20% of 90000 = Rs.14400

Savings of B = 25% of 180000 – 18% of 90000 = Rs.28800

Savings of C = 30% of 180000 – 14% of 90000 = Rs.41400

Savings of D = 15% of 180000 – 25% of 90000 = Rs.4500

Savings of E = 12% of 180000 – 23% of 90000 = Rs.900

Required sum = 14400 + 28800 + 41400 + 4500 + 900 = Rs.90000

In the following table, the Investment and profit of three persons from different states is given.

Note: Some values are missing. You have to calculate these values as per data given in the questions.

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6) Average Investment made by all of them in Chennai is Rs. 10,000 and average profit earned by all of them from the same city is Rs. 6000, then profit earned by R in the same city is what percent more/less than the amount invested by R in the same city?
उन सभी द्वारा चेन्नई में किया गया औसत निवेश रु. 10,000 और एक ही शहर से उन सभी द्वारा अर्जित औसत लाभ 6000 रुपये है, तो उसी शहर में R द्वारा अर्जित लाभ उसी शहर में R द्वारा निवेश की गई राशि से कितना प्रतिशत अधिक/कम है?
a) 31 9/11 %

b) 23 ½ %

c) 33 1/5 %

d) 25 5/7 %

e) None of these

7) In Kolkata total Investment of P and Q is Rs. 85000, P and Q invested their amount for 4 months and 6 months respectively in the same city, then find the number of months that R invested his amount?
कोलकाता में P और Q का कुल निवेश 85000 रुपये है, P और Q ने उसी शहर में क्रमशः 4 महीने और 6 महीने के लिए अपनी राशि का निवेश किया, तो R ने अपनी राशि का निवेश कितने महीनों में किया?
a) 8 months

b) 20 months

c) 16 months

d) 9 months

e) None of these

8) If P, Q and R invested in Surat city for 5 months, 8 months and 6 months respectively then profit earned by R from Surat city is what % of the profit earned by P and Q together from the same city,if total profit earned by all of them from Surat City is Rs. 8700?
यदि P, Q और R ने सूरत शहर में क्रमशः 5 महीने, 8 महीने और 6 महीने के लिए निवेश किया है, तो सूरत शहर से R द्वारा अर्जित लाभ एक ही शहर से P और Q द्वारा अर्जित लाभ का कितना प्रतिशत है, यदि कुल लाभ कितना है? ये सभी सूरत शहर से 8700 रुपये के हैं?
a) 37%

b) 41%

c) 50%

d) 45%

e) None of these

9) If the total profit earned from Jaipur by all of them is Rs. 32375 and each invested for 9 months then find the ratio of investment of P in Jaipur city to the profit of Q from the Agra city?
यदि उन सभी द्वारा जयपुर से अर्जित कुल लाभ 32375 रुपये है और प्रत्येक ने 9 महीने के लिए निवेश किया है, तो जयपुर शहर में P के निवेश का आगरा शहर से Q के लाभ से अनुपात ज्ञात कीजिये?
a) 7: 15

b) 8: 7

c) 7: 16

d) 16: 19

e) None of these

10) If Person P invested his amount in Agra city for 9 months and person R invested his amount in the same city for 10 months then find the total profit made by all of them from Agra city?
यदि व्यक्ति P ने आगरा शहर में 9 महीने के लिए अपनी राशि का निवेश किया और व्यक्ति R ने उसी शहर में 10 महीने के लिए अपनी राशि का निवेश किया, तो आगरा शहर से उन सभी द्वारा अर्जित कुल लाभ ज्ञात कीजिये?
a) Rs. 28750

b) Rs. 29750

c) Rs. 27725

d) Rs. 28250

e) None of these

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6) Answer: A

Average investment made by P, Q and R = 10000

Then total investment of P, Q and R = 10000 × 3 = Rs. 30000

Investment of P and Q in the Chennai is = Rs 9000 and Rs. 10000 respectively.

Then total investment of P and Q is = Rs. 9000 + 10000 = Rs. 19000

Then investment of R = 30000 – 19000 = Rs. 11000

Average profit made by P, Q and R = 6000

Then total profit of P, Q and R = 6000 × 3 = Rs. 18000

Profit of P and Q in the Chennai is = Rs 4500 and Rs. 6000 respectively.

Then total profit of P and Q is = Rs. 4500 + 6000 = Rs. 10500

Then profit of R = 18000 – 10500 = Rs. 7500

So, required profit percentage of R in Chennai

=> (11000 – 7500) / 11000 × 100

Solving we get = 31 9/11 %

7) Answer: B

In Kolkata total Investment of P and Q is Rs. 85000

Let investment of R is = Rs x

Then according to the question,

=>(x × 4) / (85000 – x)6 = 20000/30000

=>2x/3(85000 – x) = 2/3

=>6x=2×3×85000−6x

=>12x=6×85000

=> x =Rs. 42500

Investment of A = Rs. 42500

Investment of B= Rs. 42500

Let required months = y

Then (42500 × 6) / (17000 × y) = 30000/40000

Solving we get, y = 20 months

8) Answer: D

P invested Rs. 4000 for 5 months = 4000 × 5

Q invested Rs. 5000 for 8 months = 5000 × 8

R invested Rs. 4500 for 6 months = 4500 × 6

So, profit sharing ratio of P, Q and R will be

=> P : Q : R = (4000 × 5) : (5000 × 8) : (4500 × 6)

Solving we get = 20 : 40 : 27

Now, total profit earned by all of them in Surat city is Rs. 8700.

Then we can find the profit of P, Q and R

So, Profit of P = (20/87) × 8700 = Rs 2000

Profit of Q = (40/87) × 8700 = Rs. 4000

Profit of Re = (27/87) × 8700 = Rs. 2700.

So, required percentage profit of R = (2700/6000) × 100 = 45%

9) Answer: C

Investment of Q and R in the Jaipur city is Rs. 7000 and 8000 respectively.

So, (7000/8000) = Profit of Q / 14000

Solving we get, Profit of Q = Rs. 12250

Then profit of P = 32375 –12250 – 14000

So, profit of P = Rs. 6125

Let investment of P in Jaipur city = Rs. x

Then x/7000 = 6125/12250

Solving we get x = Rs. 3500

So, the required ratio will be = P: Q = 3500: 8000

Solving we get P: Q = 7: 16

10) Answer: E

P invested Rs. 15000 in Agra for 9 months = 15000 × 9

And R invested Rs. 20000 in Agra for 10 months = 20000 × 10

Profit of R in Agra is = Rs. 12500

Let Profit of P in Agra city is = Rs. x

Then according to the question,

=> (15000 × 9) / (20000 × 10) = x/12500

Solving we get = (27/50) = x/12500

=> x = Rs. 6750

So, required Profit will be = P + Q + R

=>Rs. 6750 + Rs. 8000 + Rs. 12500

=>Rs. 27250

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Eight persons A, B, C, D, E, F, G and H live on different floors of the same building having eight floors (the ground floor is numbered as the first floor while the topmost floor is numbered as the eighth floor). They were born on the same day of the same month but in different years. All their ages are to be considered from the base year i.e. 2018.
G is 42 years old and lives on an odd numbered floor below the 5th floor. B is 20 younger than the one who lives on 2nd floor. Only three persons live between G and the one who was born in 1984. F lives on 4th floor and he is 13 years old. A lives on even numbered floor. There are three floors in between C and D who lives on an even numbered floor. H is 34 years old and lives on an odd numbered floor. The one who is 28 years old lives immediate above the floor on which E lives. The one who lives on ground floor is 5 years older than the one who lives on 4th floor. D was born in 1996. B lives above the floor on which C lives. One person was born in 1962.

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आठ व्यक्ति A, B, C, D, E, F, G और H आठ तल वाली समान इमारत के अलग अलग तलों पर रहते हैं (सबसे नीचला तल पहला तल है जबकि शीर्ष तल आठवाँ तल है)। वे अलग-अलग वर्षों के समान महीने के समान दिन जन्म लेते हैं। उन सभी की आयु को आधार वर्ष अर्थात् 2018 से माना जाना चाहिए।
G, 42 वर्ष का है और पांचवें तल से नीचे एक विषम संख्या वाले तल पर रहता है। B, दूसरे तल पर रहने वाले व्यक्ति से 20 वर्ष छोटा है। G और 1984 में जन्म लेने वाले व्यक्ति के बीच में केवल तीन व्यक्ति रहते हैं। F चौथे तल पर रहता है और वह 13 वर्ष का है। A सम संख्या वाले तल पर रहता है। C और D के बीच में तीन तल हैं, जो सम संख्या वाले तल पर रहता है। H, 34 वर्ष का है और एक विषम संख्या तल पर रहता है। 28 वर्षीय व्यक्ति उस तल से ठीक ऊपर वाले तल पर रहता अहि जिस पर E रहता है। नीचले तल पर रहने वाला व्यक्ति, चौथे तल पर रहने वाले व्यक्ति से 5 वर्ष बड़ा है। D का जन्म 1996 में हुआ था। B, C के तल के ऊपर किसी तल पर रहता है। एक व्यक्ति का जन्म 1962 में हुआ था।

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