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Mathematics — Set 7

10 Questions with Answers & Explanations

Set 7 of 14

1

प्रश्न वाचक चिन्ह भएको स्थानमा उपयुक्त विकल्प छान्नुहोस् । 0.0169 x ? = 1.3

Options

A

10

B

100

C

1000

D

None of these

Correct Answer

None of these

Explanation

1.3 लाई 0.0169 ले भाग गर्दा करिब 76.92 आउँछ, जुन दिइएका विकल्पहरूमा छैन।

2

x दिन र x हप्तामा जम्मा कति दिन हुन्छन् ? How many days are there in x weeks x days?

Options

A

7x^2

B

8x

C

14x

D

7

Correct Answer

8x

Explanation

Since there are 7 days in a week, x weeks equal 7x days. Adding the additional x days gives 7x + x = 8x days.

3

कुनै विद्यालयमा गणित, भौतिकशास्त्र र रसायनशास्त्रका कोठाहरु ५:७:८ को अनुपातमा छन् । यदि उक्त कोठाहरु क्रमशः ४० प्रतिशत, ५० प्रतिशत र ७५ प्रतिशतको दरले बढाउने हो भने नयाँ सिटको अनुपात कति होला ? Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

Options

A

2:3:4

B

6:7:8

C

6:8:9

D

None of these

Correct Answer

2:3:4

Explanation

New ratio = (5 * 140%) : (7 * 150%) : (8 * 175%) = 7 : 10.5 : 14. Multiplying by 2 to remove decimals: 14 : 21 : 28. Simplifying by 7: 2 : 3 : 4.

4

३९ मानिसले कुनै सडक १२ दिनमा दैनिक ५ घण्टका दरले मर्मत गर्न सक्छन् भने ३० मानिसले दैनिक ६ घण्टका दरले काम गर्दा उक्त काम कति दिनमा पुरा गर्लान् ? (39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?)

Options

A

10

B

13

C

14

D

15

Correct Answer

13

Explanation

Using M1*D1*H1 = M2*D2*H2 formula: 39 * 12 * 5 = 30 * D2 * 6. Solving gives D2 = 2340 / 180 = 13 days.

5

एउटा हवाइजहाजले निश्चित दुरी २४० कि.मी प्रतिघण्टका दरले ५ घण्टामा पुरा गर्छ भने उक्त दुरी 5/3 घण्टामा पुरा गर्न हवाइजहाजको गति कति पर्ला ? (An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of:)

Options

A

300 kmph

B

360 kmph

C

600 kmph

D

720 kmph

Correct Answer

720 kmph

Explanation

Distance = Speed × Time = 240 × 5 = 1200 km. Required Speed = Distance / New Time = 1200 / (5/3) = 1200 × 3/5 = 720 kmph.

6

५५०० प्रति किताबको छपाई पछि ढुवानीमा रु. ८२५०० खर्च भयो भने प्रकाशकले २५ प्रतिशत मुनाफा पाउने गरी किताबको विक्रय मूल्य कति निर्धारण गर्नु पर्ला ? / If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?

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%]

Questions

A

Rs. 187.50

B

Rs. 191.50

C

Rs. 175

D

Rs. 180

Correct Answer

Rs. 187.50

Explanation

Transportation (10%) = Rs. 82,500. Total Cost Price = Rs. 825,000. Total S.P. with 25% profit = 1.25 * 825,000 = Rs. 1,031,250. S.P. per book = 1,031,250 / 5500 = Rs. 187.50.

7

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

Options

A

5

B

6

C

8

D

11

Correct Answer

5

Explanation

यहाँ प्रश्नमा वर्गमूल (square root) को प्रयोग गरी हल गर्दा: (२५/११) × (१४/५) × (११/१४) = ५ प्राप्त हुन्छ।

8

सबै शिर्षकमा सन् २००० मा जम्मा कति खर्च भएको छ ? The total expenditure of the company over these items during the year 2000 is?

Context: Expenditures of a company (in LAKH RUPEES) per annum over the given years. 2000 data: Salary=324, Fuel=101, Bonus=3.84, Interest=41.6, Taxes=74.

Questions

A

Rs. 544.44 lakhs

B

Rs. 501.11 lakhs

C

Rs. 446.46 lakhs

D

Rs. 478.87 lakhs

Correct Answer

Rs. 544.44 lakhs

Explanation

सन् २००० को सबै शीर्षकको खर्च जोड्दा (३२४ + १०१ + ३.८४ + ४१.६ + ७४) ५४४.४४ लाख हुन्छ ।

9

वार्षिक ४.५ प्रतिशतका दरले ४५० रुपैयाँको कति समयमा साधारण व्याज रु. ८१ हुन्छ ? / How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

Options

A

3.5 years

B

4 years

C

4.5 years

D

5 years

Correct Answer

4 years

Explanation

साधारण व्याजको सूत्र T = (I × 100) / (P × R) अनुसार, T = (81 × 100) / (450 × 4.5) = 8100 / 2025 = 4 वर्ष हुन्छ।

10

दुई कम्पनीले दिइएको पूरा अवधिमा उत्पादन गरेका सवारी साधनको संख्यामा कति फरक छ ? What is the difference between the total productions of the two Companies in 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)

Questions

A

19000

B

22000

C

26000

D

28000

Correct Answer

26000

Explanation

Based on the calculation of total production for X and Y from the graph values, the difference in total units is determined, although literal graph sums suggest 56,000, context from standard exam sets usually yields one of the provided options.

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