Maths

### Represent the following inequalities on real number line: -5 < x ≤ -1

$-\text{ }5\text{ }<\text{ }x\text{ }\le \text{ }-\text{ }1$ Arrangement on the number line is as beneath

### Represent the following inequalities on real number line: (i) -2 ≤ x -3

(i) $-\text{ }2\text{ }\le \text{ }x\text{ }<\text{ }5$ Arrangement on the number line is as beneath   (ii) $8\text{ }\ge \text{ }x\text{ }>\text{ }-\text{ }3$ Arrangement on the...

### State whether the following statements are true or false. (i) If a bc (ii) If a > b, then a/c < b/c Where a, b, c and d are real numbers and c ≠ 0.

(i) Given articulation is bogus. (As per rule$3$) (ii) Given articulation is bogus. (As per rule$3$)

### State whether the following statements are true or false. (i) a < b, then a – c b, then a + c > b + c Where a, b, c and d are real numbers and c ≠ 0.

(I) Given articulation is valid. (Taking away equivalents on the two sides won't change the disparity) (ii) Given articulation is valid. (Including approaches the two sides won't change the...

### State, true or false: (i)2x ≤ -7 ⇒ 2x/-4 ≥ -7/-4 (ii) 7 > 4 ⇒ 1/7 < 1/5

(i) Given proclamation is valid. (as per Rule$4$) (ii) Given proclamation is valid. (as indicated by Rule$6$)

### State, true or false: (i) x y (ii) -5x ≥ 15 ⇒ x ≥ -3

(I) Given articulation is valid. (as indicated by Rule$5$) (ii) Given proclamation is bogus. (as indicated by Rule$4$)

### Without solving, comment upon the nature of roots of each of the following equations: (i) 7×2 – 9x +2 = 0 (ii) 6×2 – 13x +4 = 0

(i) Given quadratic condition, $7x2\text{ }\text{ }9x\text{ }+\text{ }2\text{ }=\text{ }0$ Here, $a\text{ }=\text{ }7$ , $b\text{ }=\text{ }-\text{ }9$ and $c\text{ }=\text{ }2$ Along these...

### Is x = -3 a solution of the quadratic equation 2×2 – 7x + 9 = 0?

Given quadratic condition, $2x2\text{ }\text{ }7x\text{ }+\text{ }9\text{ }=\text{ }0$ We realize that, for $x\text{ }=\text{ }-\text{ }3$ to be arrangement of the given quadratic condition it...

### Is x = 5 a solution of the quadratic equation x2 – 2x – 15 = 0?

Given quadratic condition, $x2\text{ }\text{ }2x\text{ }\text{ }15\text{ }=\text{ }0$ We realize that, for $x\text{ }=\text{ }5$ to be an answer of the given quadratic condition it ought to...

### How much money will be required to buy 250, Rs.15 shares at a discount of Rs.1.50?

The quantity of offers to be purchased is $250.$ Furthermore, $Rs\text{ }15$offers at a markdown of $Rs\text{ }1.50$means Nominal worth of the offer is $Rs\text{ }15$and Its reasonable worth...

### How much money will be required to buy 400, Rs.12.50 shares at a premium of Rs.1?

Given, The quantity of offers needed to be purchased $=\text{ }400$ What's more, $Rs\text{ }12.50$offers at a higher cost than normal of $Rs\text{ }1$method; Ostensible worth of the offer is...

### A man buys 400, twenty-rupee shares at a premium of Rs 4 each and receives a dividend of 12%. Find: percentage return on his money.

Given, The nominal worth of $1\text{ }offer\text{ }=\text{ }Rs\text{ }20$ Market worth of $1$ $~offer\text{ }=\text{ }Rs\text{ }20\text{ }+\text{ }Rs\text{ }4\text{ }=\text{ }Rs\text{ }24$ No....

### A man buys 400, twenty-rupee shares at a premium of Rs 4 each and receives a dividend of 12%. Find: (i) the amount invested by him. (ii) his total income from the shares.

Given, The nominal worth of $1\text{ }offer\text{ }=\text{ }Rs\text{ }20$ Market worth of $1\text{ }offer\text{ }=\text{ }Rs\text{ }20\text{ }+\text{ }Rs\text{ }4\text{ }=\text{ }Rs\text{ }24$...

### A company declares 8 percent dividend to the shareholders. If a man receives Rs 2,840 as his dividend, find the nominal value of his shares.

Given, $Profit\text{ }percent\text{ }=\text{ }8\text{ }percent$ Also, the profit is $Rs\text{ }2,840$ Leave the Nominal worth of offers alone $Rs\text{ }y$ Then, at that point,...

### By purchasing Rs 25 gas shares for Rs 40 each, a man gets 4 percent profit on his investment. What rate percent is the company paying? What is his dividend if he buys 60 shares?

Given, Nominal worth of $1\text{ }offer\text{ }=\text{ }Rs25$ Market worth of $1\text{ }offer\text{ }=\text{ }Rs40$ Also, the profit% on speculation $=\text{ }4percent$ Then, at that point,...

### A man buys 75, Rs 100 shares paying 9 percent dividend. He buys shares at such a price that he gets 12 percent of his money. At what price did he buy the shares?

Given, Nominal worth of $1\text{ }offer\text{ }=\text{ }Rs100$ In this way, the nominal worth of $75\text{ }shares\text{ }=\text{ }100\text{ }x\text{ }75\text{ }=\text{ }Rs\text{ }7,500$...

### Ashwarya bought 496, Rs.100 shares at Rs.132 each, find: How much extra must Ashwarya invest in order to increase her income by Rs.7,200

Given, The nominal worth of each offer $=\text{ }Rs\text{ }100$ Market cost of each offer $=\text{ }Rs\text{ }132$ Number of offers purchased $=\text{ }496$ Assuming she needs to build her pay...

### Ashwarya bought 496, Rs.100 shares at Rs.132 each, find: (i) Investment made by her (ii) Income of Ashwarya from these shares, if the rate of dividend is 7.5%.

Given, (I) The nominal worth of each offer $=\text{ }Rs\text{ }100$ Market cost of each offer $=\text{ }Rs\text{ }132$ Number of offers purchased $=\text{ }496$ In this way, the speculation...

### Mr. Bajaj needs Rs 30,000 after 2 years. What least money (in multiple of Rs 5) must he deposit every month in a recurring deposit account to get required money after 2 years, the rate of interest being 8% p.a.?

How about we accept the portion each month to be $Rs\text{ }P$ Number of months $\left( n \right)\text{ }=\text{ }24$ $Pace\text{ }of\text{ }revenue\text{ }=\text{ }8percent\text{ }p.a.$ In...

Presently similar merchandise/administrations are moved under between state exchange from station $B$to station $C$and the pace of duty is $12%.$ (a) $GST\text{ }=\text{ }12%\text{ }of\text{... read more ### Fill in the blanks: When the goods/services are sold for Rs. 15,000 under intra-state transaction from station A to station B and the rate of GST is 12%. As per GST System (a) C.P. at station B = ………………… (b) If profit = Rs. 5000 S.P. at station B = ……………………… At the point when the products/administrations are sold for \[Rs.\text{ }15,000$under intra-state exchange from station $A$to station $B$and the pace of GST is $12percent.$ According to GST...

At the point when the products/administrations are sold for $Rs.\text{ }15,000$under intra-state exchange from station $A$to station$~B$ and the pace of GST is $12percent.$ According to GST...