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Q-(1) A can complete 7/10 part of a work in 15 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will A and B together can complete that work?
किसी काम के 7/10 भाग को A, 15 दिनों में करता है। उसके पश्चात् B की सहायता से वह शेष काम को 4 दिनों में पूरा करता है। A और B मिलकर उस काम को कितने दिनों में पूरा करेगें ?
(1) 
(2) 
(3) 
(4) 
(5) 
(2) (3) (4) (5)
Q-(2) In a class, the average age of boys is 14 years and that of girls is 12 years. The number of girls is 8 more than the number of boys. What is the average age of all the students in the class?
एक कक्षा के लड़कों की औसत आयु 14 वर्ष है, और लड़कियों की औसत आयु 12 वर्ष है। लड़कियों की संख्या लड़कों की संख्या से 8 अधिक है। कक्षा में सभी विद्यार्थियों की औसत आयु क्या है?
(1) 14 (2) 14.5 (3)13 (4)13.5 (5) Data inadequate
Q-(3) In an institute, the ratio of number of male to female is 8:5. If 20% male and 25% female are illiterate, what is the number of literate males, when number of literate females is 750 ?
एक संस्थान में पुरूष और महिला कर्मचारियों की संख्या का अनुपात 8 : 5 है। यदि 20% पुरूष और 25% महिलाएं निरक्षर हैं, तो साक्षर पुरूषों की संख्या क्या है, जबकि साक्षर महिलाओं की संख्या 750 है?
(1) 150 (2) 175 (3)200 (4)225 (5) 250
Q-(4) In a school, out of 500 students 325 play football, 175 play cricket and 50 play neither football nor cricket. How many students play both football and cricket?
एक स्कूल के 500 विद्यार्थियों में से 325 फुटबॉल खेलते हैं, 175 क्रिकेट खेलते हैं तथा 50 न तो फुटबॉल खेलते हैं और न क्रिकेट खेलते हैं। कितने विद्यार्थी फुटबॉल तथा क्रिकेट दोनों खेल खेलते हैं?
(1) 50 (2) 75 (3)100 (4)125 (5) 150
Q-(5) Pipe A can fill a tank in 8 hours and pipe B can empty it in 5 hours. If 
part of the tank is full with water and both pipes are opened simultaneously, in what time will the tank empty?
part of the tank is full with water and both pipes are opened simultaneously, in what time will the tank empty?
पाइप A एक टैंक को 8 घंटे में भर सकता है तथा पाइप B इसे 5 घंटे में खाली कर सकता है। यदि टंकी का 
भाग पानी से भरा हुआ हो और दोनों पाइप एक साथ खोल दिए जाएं तो टंकी कितने समय में खाली हो जायेगी?
भाग पानी से भरा हुआ हो और दोनों पाइप एक साथ खोल दिए जाएं तो टंकी कितने समय में खाली हो जायेगी?
(1) 20 (2) 18 (3)15 (4)12 (5) 10
Q-(6) The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm. less than the side of the square. What is the perimeter of the rectangle?
एक वर्ग का क्षेत्रफल एक आयत के क्षेत्रफल के बराबर है। आयत की लम्बाई वर्ग की भुजा की लम्बाई से 5 सेमी अधिक है और उसकी चौड़ाई वर्ग की भुजा से 3 सेमी. कम है। आयत का परिमाप क्या है?
(1) 30 (2) 32 (3) 33 (4) 34 (5) 40
Q-(7) A takes twice the time in completing a piece of work than B and C takes thrice as B. If they complete all work together in 18 days, In how many days A alone can do the work ?
एक कार्य करने के लिए A को B की तुलना में दुगना समय लगता है और C को B की तुलना में तिगुना समय लगता है यदि तीनों मिलकर काम करें तो वह कार्य 18 दिनों में पूरा हो जाएगा। तदनुसार अकेला A उस कार्य को कितने दिनो में कर सकता है?
(1) 55 (2) 58 (3) 63 (4) 66 (5) 70
Q-(8) If the circum radius of an equilateral triangle is 12 cm, then the measure of its in-radius is -
यदि समबाहु त्रिभुज की परिवृत्त 12 सेमी हो तो इसकी अन्तः त्रिज्या क्या है?
(1) 10 (2) 9 (3) 8 (4) 7 (5) 6
Q-(9) In how many different ways can 5 boys and 4 girls be arranged in a row such that all the boys stand together and all the girls stand together?
कितनी विभिन्न प्रकार से पाँच लड़के और चार लड़कियाँ एक पंक्ति में व्यवस्थित हो सकते हैं कि सभी लड़के और सभी लड़कियाँ एक साथ रहें?
(1) 5730 (2) 5740 (3) 5750 (4) 5760 (5) 5780
Q-(10) A committee of five members is to be formed out of 5 IT officers, 4 clerks and 2 peons, In how many different ways can it be done if the committee should consists of 3 IT officers, 1 clerk & 1 peon ?
5 आईटी, 4 क्लर्को और 2 चपरासियों में से 5 सदस्यों की एक समिति बनानी है। अलग-अलग कितनी तरह से यह किया जा सकता है यदि - समिति में 3 आईटी ऑफीसर, 1 क्लर्क और 1 चपरासी होना चाहिए?
(1) 64 (2) 80 (3) 90 (4) 120 (5) 130
1-Sol-(1)
Remaining work =
X=
2-Sol-(5)
Data inadequate
3-Sol-(3)
Let the no. of males and females be 8x and 5x respectively
4-Sol-(1)
Let the no of students playing both games be x
450 = 325+175 -x
x = 500 - 450 = 50
5-Sol-(5)
Time taken to empty the tank =
Time taken to empty the tank
x = 10 hours.
6-Sol-(4)
`Let the side of the square be x cm
length of rectangle = (x+5) cm
breadth of rectangle = (x-3)cm
(x+5) (x-3) = x2
x2-5x -3x - 15 = x2
2x =15
Perimeter of rectangle = 2(x+5+x–3) = 2(2x + 2)
= 2(15 + 2) = 34 cm
7-Sol-(4)
Let time taken by B to finish the work= x
Let time taken by A to finish the work= 2x
Let time taken by C to finish the work= 3x
So, time taken by (A+B+C) to finish the work
Let time by A finish the work = 2x
= 2 × 33 = 66
8-Sol-(5)
Let AB = x cm
9-Sol-(4)
Total ways = 5! 4! × 2= 120 × 24 × 2= 5760
- Sol-(2)
