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Mathematics — Set 1

10 Questions with Answers & Explanations

Set 1 of 14

1

A, B, C, D लाई निश्चित रुपैयाँ ५ : २ : ४ : ३ को अनुपातमा विभाजन गर्दा C ले D भन्दा १००० रुपैयाँ वढि पायो भने B ले कति रुपैयाँ पाउला ? (A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?)

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2

तल दिइएका कुन वर्षमा दुई ओटा कम्पनीको उत्पादनमा अधिकतम फरक देखिन्छ ? In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?

Context: तलको रेखाचित्र अध्ययन गरी सोधिएका प्रश्नको उत्तर दिनुहोस् । Study the following line graph and answer the questions based on it. दुईवटा कम्पनीले दिएका वर्षमा उत्पादन गरेका सवारी साधनहरू ( हजारमा ) Number of Vehicles Manufactured by Two companies over the Years (Number in Thousands)

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3

एउटा झोलामा २ वटा राता, ३ वटा हरिया र २ वटा निला बल छन्। नछानिकन २ वटा बल झिक्दा निलो बल नआउने सम्भाव्यता कति हुन्छ, पत्ता लगाउनुहोस् : A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

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4

It is being given that (2³² + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

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5

किताबको रोयल्टीमा भएको खर्च छपाईमा भएको खर्चभन्दा कति कम हो ? / Royalty on the book is less than the printing cost by:

Context: तलको वृत्तचित्रमा पुस्तक प्रकाशन गर्दा लाग्ने खर्च उल्लेख गरिएको छ। यसका आधारमा तल सोधिएका प्रश्नको उत्तर दिनुहोस्। The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it. [Pie Chart Details: Promotion Cost 10%, Royalty 15%, Binding 20%, Paper Cost 25%, Printing Cost 20%, Transportation Cost 10%]

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6

(√625/11 × 14/√25 × 11/√196) is equal to:

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7

The square root of (7 + 3√5) (7 - 3√5) is

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8

A ले कुनै काम १५ दिनमा र B ले उक्त काम २० दिनमा गर्न सक्छ। यदि दुवै जना सँगै मिलेर ४ दिनसम्म काम गर्दा अब कति काम बाँकी रहन्छ ? A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

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9

एउटा व्यापारीले प्रति केजी रु. १५ र रु. २० पर्ने दाललाई कुन अनुपातमा मिसाउँदा उक्त मिश्रणको मूल्य प्रति केजी रु. १६.५ पर्ला ? (In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?)

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10

एउटा व्यारेकमा १५० जना मानिसलाई ४५ दिनलाई पुग्ने खाना छ, १० दिनपछि उक्त व्यारेकबाट २५ जना मानिसले छोडेर गए भने अब बाँकी मानिसलाई उक्त खाना कति दिनलाई पुग्छ ? (A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:)

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