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If 8 pencils cost ₹24, a dozen of them will cost ___.

The sum of two numbers is 20 and their difference is 6. Find the numbers.

Journalise the following in the books of Neelam:

(i) Neelam acceptance to Dinesh for 2;000 renewed at 3 months together with interest 18% per annum.

(ii) Ranjan requests Neelam to renew her acceptance. for 1,500 for two months. Neelam agrees to it provided interest. is paid to her 20% per annum in cash.

(iii) Neelam's acceptance in favour of Guddi for 15,000 dishonoured and noting charges paid by Guddi 20, which was paid by cheque later on.

Express $\frac{1}{9}{x}^2-\frac{1}{16}{y}^2$ as a product of binomials and find the value if x = 3 and y = 4.

From a set of 17 cards, numbered 1, 2, ..., 17, one is drawn. What is the probability that the number is multiple of 3 or 7?

The square root of 1.44 equals to

In a marathon of 5.75 km, a runner took a break after covering 2.8 km, and another after covering 1300 m. How much distance is yet to go (in kms)?

What has to be added to $(a+b)$ to get $(3a+2b)$?

A, B and C are partners in a firm sharing profits and losses in the ratio of $\frac{1}{2}:\frac{1}{3}:\frac{1}{6}.$ On 31st March, 2014 their balance sheet was as follows :

$\begin{array}{cccccc}\text{Capital and Liabilities}& & \text{Amount (Rs.)}& \text{Assets}& & \text{Amount (Rs.)}\\ \text{Sundry Creditors}& & 24,500& \text{Plant}& & 50,000\\ \text{Mrs. C's Loan}& & 20,000& \text{Freehold Property}& & 1,12,000\\ \text{Workmen Compensation Reserve}& & 12,000& \text{Patents}& & 6,000\\ \text{Capital Accounts :}& & & \text{Stock}& & 40,000\\ \text{A}& 1,00,000& & \text{Sundry Debtors}& 40,000& \\ \text{B}& 80,000& & \text{Less : Provision}& \underset{–}{1,500}& 38,500\\ \text{C}& \underset{–}{40,000}& 2,20,000& \text{Prepaid Expenses}& & 2,000\\ & & & \text{Cash at Bank}& & 28,000\\ & & \overline{\underset{–}{\underset{–}{2,76,500}}}& & & \overline{\underset{–}{\underset{–}{2,76,500}}}\end{array}$

It was decided to dissolve the firm, A agreeing to take over the business (except cash at bank) at the following valuations :

Plant at a depreciation of 20%; Freehold Property at Rs 1,50,000; Goodwill at Rs 10,000; Patents at book value; Sundry Debtors at Rs 35,000(Net); Half the Stock at 30% more than its book value and the remaining half at 50% less than the book value.

Mrs. C's loan was to be repaid and the Creditors were proved at Rs 22,000 and were taken over by A. Expenses of dissolution came to Rs 1,000.

Close the books of the firm and prepare the realisaion account

Line AB of 4 cm is drawn. Another line CD which is congruent and perpendicular to AB is drawn. Length of CD is

Evaluate the exponential expression $x^5\times x^4$, for $x=2$

Question 10

Simplify the expression and find its value when a = 5 and b = - 3.
$2(a^2+ab)+3-ab$

The temperature of 4 cities are given in the table below.

Which city has the maximum temperature?

define exponent

In the figure given below, identify the exterior angles.

The lowest form of $\frac{63}{70}$ is

Edge of the following cube is:

If a, b, x, y are positive, then (ab + xy) (ax + by) is

Two athletes are running from the same place at speed of 6km/hr and 4km/hr.Find the distance between them after 10 minutes, if they move in same direction.(in meters)

The number obtained after increasing 100 by 30% is:

The mean of the following distribution is:

$\begin{array}{cccccc}x:& 10& 12& 20& 25& 35\\ f:& 3& 10& 15& 7& 5\end{array}$

What has to be added to $x^2+3x-8$ to get $x^2+x+6$?

A playground is rectangular in shape. If its length is 60 m and breadth is 50 m, find the cost of fencing it at the rate of ₹ 2.50/metre.

The product of $7x-4y$ and $3x-7y$ is

Question 23

The percent that represents the shaded region in the figure, is

(a) 36 %
(b) 64 %
(c) 27 %
(d) 48 %

The ratio of number of lemons to number of cups of water to be mixed to prepare lemon juice is 3:5. For 12 lemons what is the number of cups of water required?

Identify the monomial.

Question 78

In the given figure$l||m||n.\angle QPS={35}^{\circ }and\angle QRT={55}^{\circ }.$ Find $\angle PQR$.

6 added to 5 times a variable $p$ is equal to 16 can be written mathematically as

Question 58 (d)

Subtract:

$x^4+3x^3{y}^3+5y^4$ from $2x^4-x^3{y}^3+7y^4.$

Evaluate 0.6 of 36 - 0.5 of 25

Arrange the given heights of 20 students in grouped distribution with a class interval of 5. The number of students above the height of 169cm is

Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Question 85 (c)

Evaluate
$\frac{125\times 5^2\times a^7}{{10}^3\times a^4}$

A mobile whose cost price is Rs 2400 is sold for Rs 2800. Find the profit percent.

Represent the following rational numbers on a number line.

$\frac{3}{8},\frac{-7}{8},\frac{22}{-6}$

Question 66

In questions 60 to 79, state whether the statements are True or False.
12 % of 120 is 100.

Question 76 (a)

Express the following in exponential form.
$3\times 3\times 3\times a\times a\times a\times a$

Question 90:

If $2^{n+2}-2^{n+1}+2^n=C\times 2^n,thenfindC.$

If the mean of the given data is 25, then find the value of p.

$\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 0-10& 10\\ 10-20& 9\\ 20-30& 8\\ 30-40& p\\ 40-50& 6\end{array}$ [2 MARKS]

A steel cable with a radius of 2 cm supports a chairlift. If the maximum stress is not to exceed $8\times {10}^{7}N/m^2$, what is the maximum load the cable can support?

Which among the following is a terminating decimal :

The reflection of the point (2,3) in the Origin is ___

The quotient when $6ab-b^2+12ac-2bc$ is divided by (61-b) is: