Question
Evaluate: $-\frac{11}{18}+\frac{-3}{9}+\frac{2}{-3}$
✓
Answer
$\begin{aligned} & -\frac{11}{18}+\frac{-3}{9}+\frac{2}{-3} \\ & =\frac{-11}{18}+\frac{-3}{9}+\frac{-2}{3} \\ & =\frac{-11 \times 1}{18 \times 1}+\frac{-3 \times 2}{9 \times 2}+\frac{-2 \times 6}{3 \times 6} \\ & (\because \text { L.C.M. of } 3,9 \text { and } 18=18) \\ & =\frac{-11}{18}+\frac{-6}{18}+\frac{-12}{18} \\ & =\frac{-11-6-12}{18}=\frac{-29}{18}\end{aligned}$
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→The following table shows number of males and number of females of a small locality in different age groups.
If one of the persons, from this locality, is picked at random, what is the probability that
(a) the person picked is a male?
(b) the person picked is a female?
(c) the person picked is a female aged 21-50?
(d) the person is a male with age up to 50 years?
| Age in years | 10-20 | 21-50 | Above 50 |
| Male | 8 | 12 | 6 |
| female | 6 | 10 | 4 |
(a) the person picked is a male?
(b) the person picked is a female?
(c) the person picked is a female aged 21-50?
(d) the person is a male with age up to 50 years?
Tanvi had a keen interest to invest in share market. So, she took lessons from an investment coach. The coach told her to watch the fluctuations in the value of share over a period of time. She found that on April 1, the price of a share of XYZ company was ₹ 2552.
Q.1. On April 2, the price of this share changed by gaining ₹37. What was the price of each share of XYZ on April 2?
(a) ₹ 2515 (b) ₹ 2589 (c) ₹ 2562 (d) ₹ 2573
Q.2. On April 3, the price changed by losing ₹16 by 12 pm and then again losing ₹8 by the end of the day. What was the price of each share of XYZ by the end of the day on April 3?
(a) ₹ 2528 (b) ₹ 2565 (c) ₹ 2576 (d) ₹ 2603
Q.3. On April 4, the price of XYZ company's share changed by gaining ₹11 by 12 pm and then again gaining ₹14 by the end of the day. What was the price of each share of XYZ by the end of the day on April 4?
(a) ₹ 2540 (b) ₹ 2564 (c) ₹ 2590 (d) ₹ 2614
Q.4. On April 5, the price of the share changed by losing ₹13 by 12 pm and then gaining ₹4 by the end of the day. What was the price of each share of XYZ by the end of the day on April 5?
(a) ₹ 2599 (b) ₹ 2607 (c) ₹ 2612 (d) ₹ 2581
Q.1. On April 2, the price of this share changed by gaining ₹37. What was the price of each share of XYZ on April 2?
(a) ₹ 2515 (b) ₹ 2589 (c) ₹ 2562 (d) ₹ 2573
Q.2. On April 3, the price changed by losing ₹16 by 12 pm and then again losing ₹8 by the end of the day. What was the price of each share of XYZ by the end of the day on April 3?
(a) ₹ 2528 (b) ₹ 2565 (c) ₹ 2576 (d) ₹ 2603
Q.3. On April 4, the price of XYZ company's share changed by gaining ₹11 by 12 pm and then again gaining ₹14 by the end of the day. What was the price of each share of XYZ by the end of the day on April 4?
(a) ₹ 2540 (b) ₹ 2564 (c) ₹ 2590 (d) ₹ 2614
Q.4. On April 5, the price of the share changed by losing ₹13 by 12 pm and then gaining ₹4 by the end of the day. What was the price of each share of XYZ by the end of the day on April 5?
(a) ₹ 2599 (b) ₹ 2607 (c) ₹ 2612 (d) ₹ 2581
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Insert three fractions between $\frac{11}{12}$ and $\frac{2}{3}$
→The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference
(i) radius
(ii) diameters
(iii) circumference
What should be added to $-\frac{3}{6}$ to get $-\frac{11}{24} ?$
→Ram Nath sold one of his properties worth ₹ 38,00,000. He wished to divide this money between his two daughters Priya and Seema in the ratio $7: 12$. He sold another property for ₹ 60,00,000. He divided this money between Priya and Seema in the ratio $\frac{1}{5}: \frac{1}{7}$.
Q.1. What amount did Priya receive from the sale of second property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000 $\quad$$\quad$(d) ₹ 35,00,000
Q.2. What amount did Seema receive from the sale of first property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000$\quad$$\quad$ (d) ₹ 49,00,000
Q.3. The difference between the total amounts received by Priya and Seema is:
(a) ₹ 0 $\quad$$\quad$(b) ₹ 1,00,000 $\quad$$\quad$(c) ₹ 2,00,000 $\quad$$\quad$(d) ₹ 5,00,000
Q.4. The ratio between the amounts received by Seema from the sale of the first and the second properties is :
(a) $1: 1$$\quad$$\quad$ (b) $12: 7$$\quad$$\quad$ (c) $24: 25$ $\quad$$\quad$(d) $14: 35$
→Q.1. What amount did Priya receive from the sale of second property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000 $\quad$$\quad$(d) ₹ 35,00,000
Q.2. What amount did Seema receive from the sale of first property?
(a) ₹ 14,00,000 $\quad$$\quad$(b) ₹ 24,00,000$\quad$$\quad$ (c) ₹ 25,00,000$\quad$$\quad$ (d) ₹ 49,00,000
Q.3. The difference between the total amounts received by Priya and Seema is:
(a) ₹ 0 $\quad$$\quad$(b) ₹ 1,00,000 $\quad$$\quad$(c) ₹ 2,00,000 $\quad$$\quad$(d) ₹ 5,00,000
Q.4. The ratio between the amounts received by Seema from the sale of the first and the second properties is :
(a) $1: 1$$\quad$$\quad$ (b) $12: 7$$\quad$$\quad$ (c) $24: 25$ $\quad$$\quad$(d) $14: 35$
The length and breadth of a rectangular field are in the ratio 7 : 4. If its perimeter is 440 m, find its length and breadth. Also, find the cost of fencing it @ ₹150 per m.
Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:
