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DI SET DAY - 88✌️

The following table shows the amount invested by 5 different persons, the number of years and the rate of interest and the total amount received using simple interest. Some values are missing here.

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1) Find the difference between the amount invested by the person B to that of person D?
व्यक्ति B और व्यक्ति D द्वारा निवेश की गई राशि के बीच का अंतर ज्ञात कीजिए?
a) Rs. 20000

b) Rs. 24000

c) Rs. 16000

d) Rs. 18000

e) None of these

2) Find the ratio between the rate of interest of person A to that of person C?
व्यक्ति A की ब्याज दर और व्यक्ति C की ब्याज दर के बीच का अनुपात ज्ञात कीजिए?
a) 3: 5

b) 11: 17

c) 23: 15

d) 5: 9

e) None of these

3) Find the average amount received by all the given persons together?
दिए गए सभी व्यक्तियों को मिलाकर प्राप्त औसत राशि ज्ञात कीजिए?
a) Rs. 35612

b) Rs. 33985

c) Rs. 35936

d) Rs. 34008

e) None of these

4) Find the number of years the amount invested by person C?
व्यक्ति C द्वारा निवेश की गई राशि वर्षों की संख्या ज्ञात कीजिए
a) 3 years

b) 4 years

c) 5 years

d) 2 years

e) None of these

5) Find the difference between the average rate of interest for person A, B and C together to that of the person A, D and E together?
व्यक्ति A, B और C के लिए एकसाथ व्यक्ति A, D और E की मिलाकर ब्याज की औसत दर के बीच का अंतर ज्ञात कीजिए?
a) 8 %

b) 5 %

c) 3 %

d) 6 %

e) None of these

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1) Answer: C

SI = PNR/100

SI = Total amount – Principle

The amount invested by the person B

= > 27840 – P = P*2*8/100

= > 2784000 – 100P = 16P

= > 2784000 = 116P

= > Principle amount (B) = 2784000/116 = Rs. 24000

The amount invested by the person D

= > 64000 – P = P*5*12/100

= > 6400000 – 100P = 60P

= > 6400000 = 160P

= > Principle amount (D) = 6400000/160 = Rs. 40000

Required difference = 40000 – 24000 = Rs. 16000

2) Answer: A

The rate of interest of person A

= > 1800 = (10000*3*r1)/100

= > 180000/30000 = r1

= > r1 = 6 %

The rate of interest of person C = 10 %

Required ratio = 6: 10 = 3: 5

3) Answer: D

The average amount received by all the given persons together

= > (11800 + 27840 + 49000 + 64000 + 17400)/5

= > 170040/5 = Rs. 34008

4) Answer: B

The number of years the amount invested by person C

= > (49000 – 35000) = 35000*n*10/100

= > 14000*100/(350000) = n

= > n = 4 years

5) Answer: C

The rate of interest of person A

= > 1800 = (10000*3*r1)/100

= > 180000/30000 = r1

= > r1 = 6 %

The average rate of interest for person A, B and C together

= > (6 + 8 + 10)/3 = 24/3 = 8 %

The rate of interest of person E

= > 5400 = (12000*3*r2)/100

= > 540000/36000 = r2

= > r2 = 15 %

The average rate of interest for person A, D and E together

= > (6 + 12 + 15)/3 = 33/3 = 11 %

Required difference = 11 – 8 = 3 %

The pie chart shows the total employees working in different departments in a company and the line graph shows the percentage of graduate employees among them.

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1) Find the difference between the total number of graduate employees in company A to that of total number of non graduate employees in company D?
कंपनी A में स्नातक कर्मचारियों की कुल संख्या और कंपनी D में गैर-स्नातक कर्मचारियों की कुल संख्या के बीच का अंतर ज्ञात कीजिए?
a) 340

b) 260

c) 420

d) 580

e) None of these

2) Find the average number of graduate employees in company A, B and C together?
कंपनी A, B और C में मिलाकर स्नातक कर्मचारियों की औसत संख्या ज्ञात कीजिए?
a) 2800

b) 1950

c) 3100

d) 2550

e) None of these

3) Find the ratio between the total employees in company C to that of total non graduate employees in company E and F together?
कंपनी C में कुल कर्मचारियों का कंपनी E और F में कुल गैर-स्नातक कर्मचारियों से अनुपात ज्ञात कीजिए?
a) 81: 82

b) 53: 57

c) 11: 13

d) 75: 79

e) None of these

4) Total employees in company D and F together is what percentage of total non graduate employees in company A and B together?
कंपनी D और F में मिलाकर कुल कर्मचारी कंपनी A और B में मिलाकर कुल गैर-स्नातक कर्मचारियों का कितना प्रतिशत है?
a) 250 %

b) 425 %

c) 375 %

d) 180 %

e) None of these

5) Find the difference between the average employees in company D, E and F together to that of total non graduate employees in company B, C and F together?
कंपनी D, E और F में मिलाकर कंपनी B, C और F में कुल गैर-स्नातक कर्मचारियों के औसत कर्मचारियों के बीच का अंतर ज्ञात कीजिए?
a) 850

b) 740

c) 930

d) 1020

e) None of these

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1) Answer: B

The total number of graduate employees in company A

= > 5000 * (12/100) = 600

The total number of non graduate employees in company D

= > [9000 * (24/100)] – [5000 * (26/100)]

= > 2160 – 1300 = 860

Required difference = 860 – 600 = 260

2) Answer: D

The average number of graduate employees in company A, B and C together

= > 5000 * (51/100) = 2550

3) Answer: A

The total employees in company C

= > 9000 * (18/100) = 1620

The total non graduate employees in company E and F together

= > {[9000 * (10/100) – 5000 * (8/100)] + [(9000 * (21/100) – 5000 * (15/100)]}

= > {[900 – 400] + [1890 – 750]}

= > 500 + 1140 = 1640

Required ratio = 1620: 1640 = 81: 82

4) Answer: C

Total employees in company D and F together

= > 9000 * (45/100) = 4050

Total non graduate employees in company A and B together

= > {[9000 * (15/100) – 5000 * (12/100)] + [9000 * (12/100) – 5000 * (15/100)]}

= > {[1350 – 600] + [1080 – 750]}

= > 750 + 330 = 1080

Required % = (4050 / 1080) * 100 = 375 %

5) Answer: D

The average employees in company D, E and F together

= > 9000 * (55/100) * (1/3) = 1650

The total non graduate employees in company B, C and F together

= > {[9000 * (12/100) – 5000 * (15/100)] + [9000 * (18/100) – 5000 * (24/100)] + [9000 * (21/100) – 5000 * (15/100)]} * (1/3)

= > {[1080 – 750] + [1620 – 1200] + [1890 – 1140]} * (1/3)

= > (330 + 420 + 1140) / 3 = 1890 / 3

= > 630

Required difference = 1650 – 630 = 1020

Relationship cannot be established between x and y.

The given bar graph shows the percentage increment in the number of students on 2014 from 2013 and 2015 from 2014 in 5 different colleges A, B, C, D and E.

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6) Find the total number of girl students from college A in 2013?
2013 में कॉलेज A से छात्राओं की कुल संख्या ज्ञात कीजिए?

Statement I: Ratio of the number of boys to girls in college A in 2015 is 4:5 and the number of boys from A in 2013 is 80% of the number of boys from A in 2015.
कथन I: 2015 में कॉलेज A में लड़कों की संख्या का लड़कियों से अनुपात 4:5 है और 2013 में A से लड़कों की संख्या 2015 में A से लड़कों की संख्या का 80% है।

Statement II: The number of girls from A in 2015 is 300.
कथन II: 2015 में A से लड़कियों की संख्या 300 है।

a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

7) What is the total number of students from B in 2013?
2013 में B से छात्रों की कुल संख्या कितनी है?

Statement I: If the number of girl students from B in 2013, 2014 and 2015 is 60%, 50% and 45% respectively and the average number of boys from B in 2013, 2014 and 2015 is 581.
कथन I: यदि 2013, 2014 और 2015 में B से छात्राओं की संख्या क्रमशः 60%, 50% और 45% है और 2013, 2014 और 2015 में B से लड़कों की औसत संख्या 581 है।

Statement II: Difference between the total number of students from B in 2014 and 2015 is 480.
कथन II: 2014 और 2015 में B से छात्रों की कुल संख्या के बीच का अंतर 480 है।

a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

8) If sum of the total students from C in 2013 and 2015 is 640.
यदि 2013 और 2015 में C से कुल विद्यार्थियों का योग 640 है।

Quantity I: Ratio of the number of boys to girls from C in 2014 is 2: 3 and the total number of boy students from C in 2015 is 60% of the total number of girls from C in 2014. Find the total number of girls from C in 2015?
मात्रा I: 2014 में C से लड़कों की संख्या का लड़कियों से अनुपात 2: 3 है और 2015 में C से लड़कों की कुल संख्या 2014 में C से लड़कियों की कुल संख्या का 60% है। लड़कियों की कुल संख्या ज्ञात कीजिए। 2015 में सी से?

Quantity II: Ratio of the girls to boys from C in 2013 is 2: 3 and the ratio of the number of boys from C in 2014 to the number of girls from C in 2013 is 7: 5. What is the total number of girls from C in 2014?
मात्रा II: 2013 में C से लड़कियों का लड़कों से अनुपात 2:3 है और 2014 में C से लड़कों की संख्या का 2013 में C से लड़कियों की संख्या का अनुपात 7: 5 है। 2014 में सी से?

a) Quantity I > Quantity II

b) Quantity I ≥ Quantity II

c) Quantity II > Quantity I

d) Quantity II ≥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

9) What is the average number of students from E in 2015 and 2013?
2015 और 2013 में E से छात्रों की औसत संख्या क्या है?

Statement I: Ratio of the number of boys from E in 2013, 2014 and 2015 is 2: 4:5 and the ratio of the girls from E in 2013, 2014 and 2015 is 3: 4: 2.
कथन I: 2013, 2014 और 2015 में E से लड़कों की संख्या का अनुपात 2: 4:5 है और 2013, 2014 और 2015 में E से लड़कियों का अनुपात 3: 4: 2 है।

Statement II: Difference between the number of girls from E in 2014 and the number of boys from E in 2015 is 120.
कथन II: 2014 में E से लड़कियों की संख्या और 2015 में E से लड़कों की संख्या के बीच का अंतर 120 है।

a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

10) Find the average number of girls from D in 2013, 2014 and 2015 together?
2013, 2014 और 2015 में मिलाकर D से लड़कियों की औसत संख्या ज्ञात कीजिए?

Statement I: Total number of students in 2013 from D is 200 more than that the number of students in 2013 from E. Ratio of the number of girls to boys from D in 2013 is 3:2.
कथन I: 2013 में D से छात्रों की कुल संख्या E से 2013 में छात्रों की संख्या से 200 अधिक है। 2013 में D से लड़कियों की संख्या का लड़कों से अनुपात 3:2 है।


Statement II: Ratio of the number of boys to girls from D from in 2014 is 5:7 and the number of girl students from D in 2015 is 90.
कथन II: 2014 में D से लड़कियों की संख्या का अनुपात 5:7 है और 2015 में D से छात्राओं की संख्या का अनुपात 90 है।
a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

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6) Answer: D

From statement I,

Total number of students from A in 2015 = 9x

Number of boys from A in 2015 = 4x

Number of girls from A in 2015 = 5x

Number of boys from A in 2013 = 80/100 * 4x = 16x/5

So, Statement I alone is not sufficient to answer the question.

From statement II,

Number of girls from A in 2015 = 300

So, Statement II alone is not sufficient to answer the question.

From I and II,

Number boys from A in 2015=4/5 * 300 = 240

Total number of students from A in 2015 = 9/5 * 300 = 540

Total number of students from A in 2013 = 540 * 100/125 * 100/120

= 360

Number of boys from A in 2013 = 80/100 * 240 = 192

Number of girls from A in 2013 = 360 – 192 = 168

7) Answer: C

From statement I,

Total number of students from B in 2013 = x

Total number of students from B in 2014 = 125x/100 = 5x/4

Total number of students from B in 2015 = 5x/4 * 115/100 = 23x/16

Number of boys from B in 2013 = x * 40/100 = 2x/5

Number of boys from B in 2014 = 5x/4 * 50/100 = 5x/8

Number of boys from B in 2015 = 55/100 * 23x/16 = 253x/320

Average of boys = 581

(2x/5 + 5x/8 + 253x/320) / 3 = 581

(128x + 200x + 253x/320) = 1743

x = 960

Total number of students from B in 2013 = 960

So, Statement I alone is sufficient to answer the question.

From statement II,

Total number of students from B in 2013 = x

Total number of students from B in 2014 = 125x/100 = 5x/4

Total number of students from B in 2015 = 5x/4 * 115/100 = 23x/16

23x/16 – 5x/4 = 480

3x/16 = 480

x = 2560

Total number of students from B in 2013 = 2560

So, Statement II alone is sufficient to answer the question.

8) Answer: A

Total number of students from C in 2013 = x

Total number of students from C in 2014 = x * 130/100 = 13x/10

Total number of students from C in 2015 = 13x/10 * 120/100 = 39x/25

x + 39x/25 = 640

64x = 640 * 25

x = 250

Total number students from C in 2014 = 13 * 250/10 = 325

Total number of students from C in 2015 = 39 * 250/25 = 390

From quantity I,

Number of girls from C in 2014 = 3/5 * 325 = 195

Number of boys from C in 2015 = 195 * 60/100 = 117

Number of girls from C in 2015 = 390 – 117 = 273

From quantity II,

Number of girls from C in 2013 = 2/5 * 250 = 100

Number of boys from C in 2014 = 7/5 * 100 = 140

Number of girls from C in 2014 = 325 – 140 = 185

Quantity I > quantity II

9) Answer: E

From statement I,

Boys from E in 2013, 2014 and 2015=2: 4: 5

Girls from E in 2013, 2014 and 2015=3: 4: 2

So, Statement I alone is not sufficient to answer the question.

From statement II,

Difference between the number of girls from E in 2014 and the number of boys from E in 2015 is 120.

So, Statement II alone is not sufficient to answer the question.

10) Answer: E

From statement I,

Number of students from D in 2013 = 200 + number of students from E in 2013

Ratio of the number of girls to boys from D in 2013 is 3:2.

So, Statement I alone is not sufficient to answer the question.

From statement II,

Ratio of boys to girls from D in 2014 = 5: 7

Number of girls from E in 2015 = 90

So, Statement II alone is not sufficient to answer the question.

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Eight persons P, Q, R, S, T, U, V, W go for a vacation in different months of a year viz . March, April, May, June, July, August, September, October. S goes in a month which has 31 days. Three persons go for vacation in between R and S. P goes for a vacation immediately before T but not in a month which has 31 days. Only two persons go for vacation in between W and Q. T goes in a month before S. Only one person goes in between U and V. W goes before S. U does not go after Q.

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आठ व्यक्ति P, Q, R, S, T, U, V, W, एक वर्ष के भिन्न महीनों अर्थात - मार्च, अप्रैल, मई, जून, जुलाई, अगस्त, सितम्बर, अक्टूबर में छुट्टियों पर जाते हैं। S, 31 दिन वाले माह में छुट्टियों पर जाता है। तीन व्यक्ति, R और S के बीच छुट्टी पर जाते हैं। P, T से ठीक पहले छुट्टी पर जाता है, लेकिन उस महीने में नहीं जाता है जिसमें 31 दिन हैं। केवल दो व्यक्ति W और Q के बीच छुट्टियों पर जाते हैं। T, S से पहले एक महीने में छुट्टी पर जाता है। केवल एक व्यक्ति U और V के बीच छुट्टी पर जाता है। W, S से पहले जाता है। U, Q के बाद नहीं जाता है।

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1.5 minutes puzzle challenge💪

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Eight persons P, Q, R, S, T, U, V and W live on different floors in the same building, in such a way that ground floor is numbered 1 and the top most floor is numbered 8. S lives on even numbered floor above the floor numbered 5. There are only two persons live between the floor on which V and W live. P lives immediate above the floor on which U lives. V lives on an even numbered floor below the floor on which S lives. R lives on floor numbered 4. There are only three persons lives between U and T who lives on odd numbered floor above the floor on which R lives.

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विभिन्न मंजिलों पर इस प्रकार रहते हैं कि भूतल की संख्या 1 और शीर्ष मंजिल की संख्या 8 है। S मंजिल संख्या 5 के ऊपर सम संख्या वाली मंजिल पर रहता है। जिस मंजिल में V और W रहते हैं, उनके मध्य केवल दो व्यक्ति रहते हैं। जिस मंजिल पर U रहता है, P उसके ठीक ऊपर वाली मंजिल पर रहता है। V, S जिस मंजिल पर रहता है, उसके नीचे एक सम संख्या वाली मंजिल पर रहता है। R मंजिल संख्या 4 पर रहता है। U और T के मध्य केवल तीन व्यक्ति रहते हैं,T जो R जिस मंजिल पर रहता है उसके ऊपर विषम संख्या वाली मंजिल पर रहता है।

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