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Topic wise Maths Questions and Answers PDF with Solutions for competitive Exams for free download. Separate PDF for solved Mathematics Questions in Hindi and English. Important Quantitative Aptitude Questions, collected from previous year exam question paper of SSC CGL, CHSL, CPO, SSC GD, Banks, UPSSSC PET and other Competitive exams.

Subject wise maths questions and answers pdf for free download. Separate PDF for Solved Maths questions in Hindi and English. Important Quantitative Aptitude Questions, collected from previous year exam question papers of SSC CGL, CHSL, CPO, SSC GD, Bank, UPSSSC PET and other competitive exams.

### Average Questions and Solutions

Q.1: Find the average of the following set of numbers. 65, 85, 70, 90, and 105.

Solution: Given, the set of numbers is 65, 85, 70, 90, and 105.

Average = Sum of numbers/total numbers

Average = (65+85+70+90+105)/5

= 415/5

= 83

Q.2: The sum of 10 numbers is 550. Find their average number.

Solution: Given, the sum of 10 numbers is 550.

Average = Sum/Total numbers

= 550/10

= 55

Q.3: What is the average of natural numbers from 1 to 67?

Solution: Given, natural numbers 1 to 67.

Average of n natural numbers = (n+1)/2

Here, n = 67

Average = (67+1)/2 = 68/2 = 34

Q.4: The average of 7 consecutive numbers is 20. What is the largest of these numbers?

Solution: Let the 7 consecutive numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,

As per the given condition;

[x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)] / 7 = 20

⇒ 7x + 21 = 140

⇒ 7x = 119

⇒ x =17

The largest number = x + 6 = 23.

Q.5: The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?

Solution: Given,

Average of 10 numbers = 23

Sum/Total numbers = 23

Sum/10 = 23

Sum of the 10 numbers = 230

If each number is increased by 4, the total increase = 4 x 10 = 40

New sum = 230 + 40 = 270

Therefore, the new average = 270/10 = 27

Q.6: The average of 50 numbers is 20. If two numbers 37 and 43 are discarded, find the average of the remaining numbers.

Solution: Given,

Average of 50 numbers = 20

Sum of 50 numbers = 20 x 50 = 1000

Sum of discarded numbers = 37 + 43 = 80

Sum of remaining numbers = 1000 – 80 = 920

Now, total remaining numbers = 50 – 2 = 48

Average of remaining numbers = 920/48 = 19.17

Q.7: What is the average of the first six multiples of 4?

Solution: First six multiples of 4 is 4, 8, 12, 16, 20, 24

Average = (4+8+12+16+20+24)/6

= 84/6

= 14

Q.8: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?

Solution: Let the age of the youngest boy be x.

As per the question;

(3x+5x+7x)/3 = 15

3x+5x+7x = 45

15x = 45

x = 45/15

x = 3

Age of the youngest boy is: 3x = 3(3) = 9 years

Q.9: The average weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.

Solution: Average weight of 7 boys = 56 kg.

Total weight of 7 boys = (56 × 7) kg = 392 kg.

Total weight of 6 boys = (52 + 57 + 55 + 60 + 59 + 55) kg

= 338 kg.

Weight of the 7th boy = (total weight of 7 boys) – (total weight of 6 boys)

= (392 – 338) kg

= 54 kg.

Therefore, the weight of the seventh boy is 54 kg.

Q.10: The mean of 25 numbers is 36. If the mean of the first numbers is 32 and that of the last 13 numbers is 39, find the 13th number.

Solution:

Mean of the first 13 numbers = 32

Sum of the first 13 numbers = (32 × 13) = 416

Mean of the last 13 numbers = 39

Sum of the last 13 numbers = (39 × 13) = 507

Mean of 25 numbers = 36

Sum of all the 25 numbers = (36 × 25) = 900

Therefore, the 13th observation = (416 + 507 – 900) = 23

Hence, the 13th observation is 23

Q.1. निम्नलिखित में से किसकी मापक इकाई ‘थर्म’ है?

A. ऊर्जा

B. ऊष्मा

C. गति

D. विद्युत्

Q.2. निम्नलिखित में से कौन सा अंग मानव शरीर के विभिन्न भागों में ऑक्सीजन को प्रवाहित करता है?

A. लाल रक्त कोशिकाएँ

B. श्वेत रक्त कोशिकाएँ

C. प्लाज्मा

D. तंत्रिकाएँ

Q.3.  इनमें से कौन पुरुष सेक्स हार्मोन है?

A. टेस्टोस्टेरोन

B. एस्ट्रोजेन

C. एस्ट्रोजेन

D. एड्रेनालाईन

Q.4. निम्न ग्रहों में से किसे ‘पृथ्वी का जुड़वाँ’ भी कहा जाता है?

A. शुक्र

B. मंगल

C. बुध

D. यूरेनस

Q.5. यदि पृथ्वी के वायुमंडल के CO2 गायब हो जाती हैं, तो पृथ्वी की सतह का तापमान होगाॽ

A. वृद्धि होगी

B. कमी होगी

C. ऑक्सीजन एकाग्रता पर निर्भर

D. समान ही रहेगा

Q.6 निम्नलिखित प्रतिक्रिया में, रिक्त स्थान भरें

अम्ल + क्षार → _______ + पानी

A.कार्बन डाइऑक्साइड

B. धातु ऑक्साइड

C. हाइड्रोजन गैस

D. नमक

Q.7. वायुमंडल की ओज़ोन परत हमें किससे सुरक्षित करती है?

A. ब्रह्मांडीय किरणें

B. गामा किरणें

C. पराबैंगनी

D. एक्स – रे

Q.8. निम्नलिखित में से किसे कार्बोलिक एसिड के रूप में भी जाना जाता है?

A. फिनोल

B. हाइड्रोक्साइड

C. सल्फ्यूरिक एसिड

D. इथेनॉल

Q.9. ऊनी कपड़े सर्दी के मौसम में इस्तेमाल होते हैं क्योंकि ऊनी कपड़े

A. गर्मी उत्पादित करने का अच्छा स्रोत हैं

B. गर्मी को आस – पास वातावरण को अवशोषित करता है

C. गर्मी के अकुशल संवाहक हैं

D. शरीर को लगातार गर्मी प्रदान करता है

Q.10.  पशु व्यवहार के वैज्ञानिक और वस्तुनिष्ठ अध्ययन को _________ कहते हैं।

A. आचार शास्त्र

B. कीट विज्ञान

C. परिस्थिति विज्ञान

D. सुजीवन विज्ञान