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कितने विभिन्न प्रकार से शब्द MAILINGS के अक्षरों को व्यवस्थित किया जाये की M और N सदैव एकसाथ आये ?
1.) 5040 2.) 10080 3.)40320 4.)20160 5.) 30240
Sol:
Q2.) A man read 2/5 part of a book in 1st day, 34% in second day and remaining page in next two days. In two days he read equal number of page. If he read 52 page on last day, then find out how many page did the book contain?
एक व्यक्ति पहले दिन किसी किताब का 2/5 भाग, दूसरे दिन 34% और शेष भाग को अगले दो दिनों में पढता है। यदि उसने दो दिनों में समान पेजों की संख्या को पढ़ा। और अंतिम दिन में पढ़े गए पेजों की संख्या 52 थी, तो किताब में पेजों की संख्या क्या थी ?
1.) 500 2.) 560 3.) 510 4.) 460 5.) 400
Sol:
1st day he read = 40%
2nd day he read =34 %
remaining = 100% - (40% +34%) = 26%
Last day he read =13%
13% = 52
1% = 4
100% = 400
Total page is 400.
Q3.) In a school, number of girls is 75% of number of boys. Difference between boys and girls is 30. On a particular day 20% girls were absent, then find the number of girls those who present?
एक स्कूल में लड़कियों की संख्या, लड़कों की संख्या का 75% है।लड़कों और लड़कियों की संख्या के बीच अंतर 30 है। किसी दिन 20% लड़कियां अनुपस्थित थी, तो उपस्थित लड़कियों की संख्या ज्ञात कीजिये ?
1.) 90 2.) 18 3.) 168 4.) 72 5.) 42
Sol:
Ratio of boys and girls = 100% : 75% = 4:3
Difference is 1 unit=30
So, 3 units = 90
If 20% absent, that’s mean 80% present.
So, present girls = 80% of 90 = 72
Q4.) If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?
यदि एक बेलन की त्रिज्या और ऊंचाई क्रमशः 20% और15% बढ़ा दी जाती है तो बेलन का वक्रपृष्ठीय क्षेत्रफल क्या होगा ?
1.) 35% 2.) 32% 3.) 38% 4.) 42% 5.) Cannot be determined
Sol:
Q5.) A and B can do a piece of work in 20 days and 30 days respectively. They started the work together but after 8 days they doing work in alternate days, started with B. how many days the work will be completed?
A और B किसी कार्य को क्रमशः 20 दिन और 30 दिन में कर सकते हैं। वे एक साथ काम शुरू करते है किया, किन्तु 8 दिन के पश्चात वे एकान्तर दिनों में कार्य करते है जिसमे B पहले शुरू करता है। कितने दिनों में कार्य पूरा हो जायेगा ?
1.) 12 2.) 16 3.) 14 4.) 8 5.) 20
Sol:
Together can do 5 units.
In 8 days they can do = 5 x 8 =40 unit
Remaining is = 60 – 40 = 20 unit
If they work alternately
1st day B will do 2 units.
2nd day A will do 3 units.
2 days they will do 5 units.
To complete 20 units, it will take = 8
Total days = 8 +8 =16 days
Q6.) Ratio of earnings of Neetu and Bakhsi is 7 : 13. If the earnings of Neetu increase by 25% and those of Bakhsi decrease by 30%, the new ratio of their earnings become 6 : 8. What is Neetu’s earnings?
नीतू और बख्शी की आय में 7 : 13 का अनुपात है। यदि नीतू की आय में 25% की वृद्धि और बख्शी की आय में 30% की वृद्धि हुई हो तो उनकी आय का नया अनुपात 6 : 8 हो जाता है।नीतू की आय क्या है?
1.) 35000 2.) 32000 3.) 38000 4.) 42000 5.) Cannot be determined
Sol:
Cannot be determined
Q7.) A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is
एक ट्रेन 60 किमी / घंटा की गति से यात्रा करते हुए एक दूसरी ट्रेन जो समान दिशा में यात्रा कर रही है , को पकड़ लेती है और 18 से. में उसे 120 मी. पीछे छोड़ देती है। दूसरी ट्रेन की गति क्या है ?
1.) 32 km/hr 2.) 33 km/hr 3.) 35 km/hr 4.) 36 km/hr 5.) 38 km/hr
Sol:
50/3 – x = 120/18 => x=10 x 18/5 = 36 km/hr
Q8.) A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 190500, what amount have C at the end of year?
A, B और C, 2 : 3 : 5 के अनुपात में एक साझेदारी करते है। 2 महीने के बाद, A अपने भाग में 20% और B अपने भाग में 10 % बढ़ा देता है। यदि एक वर्ष के अंत में कुल लाभ 190500 रुपये है, वर्ष के अंत में C के पास कितना धन था ?
1.) 80000 2.) 85000 3.) 90000 4.) 96000 5.) 100000
Sol:
Let amounts invested be 2x, 3x, 5x resp.
Then ratio of profits (A : B : C)
2x × 2 + (120/100) × 2x × 10 : 3x × 2 + (110/100) × 3x × 10 : 5x × 12
28x : 39x : 60x
C’s share = [60/(28+39+60)] × 190500 = Rs. 90000
Q9.) 12 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.
12 व्यक्ति एक गोल मेज के इर्द गिर्द बैठे हैं। क्या प्रायिकता है कि कोई 3 व्यक्ति सदैव एक साथ बैठे ?
1.) 1/53 2.) 3/85 3.) 3/55 4.) 2/75 5.) 5/57
Sol :
Total no of ways = (12 – 1)! = 11!
Number of favorable ways = (10 – 1)! = 9!
So, required probability = (9! x 3!) /11! = 3/55
Q10.) A sum of money becomes Rs 35280 after 2 years and Rs 37,044 after 3 years when lent on compound interest. Find the principal amount.
कोई धन जब चक्रवृद्धि ब्याज की दर से उधार दिया जाता है तो 2 वर्ष बाद 35280 रुपये और 3 वर्ष के बाद 37044 हो जाता है। मूलधन क्या होगा ?
1.) 3000 2.) 3100 3.) 3200 4.) 3300 5.) 3500
Sol :
37044 = P x (1 +r/100)3
35280 = P x (1 + r/100)2
Divide one equation to another equation to get the value of r and then substitute in any equation and we get P = Rs. 3200
Answers :
Q.1. (1)
Q.2. (5)
Q.3. (4)
Q.4. (3)
Q.5. (2)
Q.6. (5)
Q.7. (4)
Q.8. (4)
Q.9. (3)
Q.10 (3)
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