Important Mathematics Questions for MPTET 2020 : 27th January 2020

Maths Questions

Q1. 11² + 12² + 13² ……. + 20² =?
(a) 2400
(b) 2485
(c) 2870
(d) 2165

Q2. 16 kg of sugar costing 24 per kg is mixed with 8 kg of sugar costing 30 per kg. What is the average price of the mixture?
24 रुपये प्रति किलो वाली 16 किलो चीनी को 30 रुपये प्रति किलो वाली 8 किलो चीनी के साथ मिलाया जाता है. इस मिश्रण का औसत मूल्य क्या होगा?
(a) Rs. 28
(b) Rs. 26
(c) Rs. 32
(d) Rs. 29

Q3. What is the unit digit in 6432 × 1767 × 6265 × 3155 × 2341 × 2676?
6432 × 1767 × 6265 × 3155 × 2341 × 2676 में इकाई अंक क्या होगा?
(a) 0
(b) 2
(c) 4
(d) 6

Q4. x and y are two taps, which can fill a tank individually in 20 minutes and 30 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 60 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?
x और y दो नल हैं, जो क्रमशः 20 मिनट और 30 मिनट में एक टैंक भर सकते हैं. हालांकि, टैंक में  नीचे एक रिसाव है जो 60 मिनट में एक भरा हुआ टैंक खाली कर सकता है. यदि टैंक शुरू में खाली है, तो दोनों नलों को टैंक भरने में कितना समय लगेगा (रिसाव अभी भी है)?
(a) 12 day/ 12 दिन
(b) 15 day/ 15 दिन
(c) 16 days/ 16 दिन
(d) 20 days/ 20 दिन

Q5. Volume of a cube whose total surface area is 0.375 cm²?
एक घन का आयतन क्या होगा जिसका कुल पृष्ठीय क्षेत्रफल 0.375 सेमी² है?

Q6. Three cubes with sides in ratio 4 : 5 : 6 are melted to form a single cube whose diagonal is 24√3 cm. The sides of the cubes are
4: 5: 6 के अनुपात की भुजाओं वाले तीन घनों को एक घन बनाने के लिए पिघलाया जाता है जिसका विकर्ण 24√3 सेमी है. घन की भुजाएं होंगी:
(a) 16, 20, 24
(b) 8, 10, 12
(c) 4, 5, 6
(d) None of these

Q7. The area of a rectangle is 378 cm² and length and breadth are in Ratio 7 : 6 respectively what is its perimeter?
एक आयत का क्षेत्रफल 378 सेमी² है और लंबाई व चौड़ाई क्रमशः 7: 6 के अनुपात में है. इसकी परिधि क्या होगी?
(a) 78
(b) 76
(c) 74
(d) 72

Q8. The hypotenuse of a right-angled isosceles triangle is 8cm. The area of triangle is?
समकोण समद्विबाहु त्रिभुज का कर्ण 8 सेमी है. त्रिभुज का क्षेत्रफल होगा?
(a) 16√2 cm²
(b) 32√2 cm²
(c) 16 cm²
(d) 32 cm²

Q9. A sum of Rs. 16,000 deposited at compound interest becomes double in 8 years. After 40 years, it will become:
चक्रवृद्धि ब्याज पर जमा की गई 16,000 रु की राशि 8 वर्षों में दोगुनी हो जाती है. 40 वर्षों के बाद यह बन जाएगी:
(a) 5,12,000
(b) 3,32,000
(c) 2,56,000
(d) None of these/ इनमें से कोई नहीं

(a) 2.15
(b) 1.98
(c) 2.98
(d) 3.98

Solutions

S3. Ans.(a)
Sol. unit digit of 6432 × 1767 + 6265 × 3155 × 2341 × 2676
= 2 × 7 × 5 × 5 × 1 × 6 = 0

S6. Ans.(a)
Sol. Volume of 3 cubes = (4x)³ + (5x)³ + (6x)³
= 64x³ + 125x³ + 216x³
= 405x³
Diagonal of cube = 6√3 x
6√3 x=24√3
x = 4
side of each cube = 16, 20, 24

S7. Ans.(a)
Sol. Area of Rectangle = l × b
378 = 7x × 6x
9 = x²
x = 3
L = 7 × 3 = 21
B = 6 × 3 = 18
Perimeter = 2(l + b)
= 2(21 + 18)
= 2 × 39 ⇒ 78cm

 
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