Question 2 :
Solve for $x$:-<br/>$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$
Question 3 :
The total cost of three prizes is Rs. $2550$. If the value of second prize is $\left(\displaystyle\frac{3}{4}\right)^{th}$ of the first prize and the value of $3rd$ prize is $\displaystyle\frac{1}{2}$ of the second prize, then the value of the first prize is ___________.
Question 5 :
The numerator of a fraction is $5$ less than its denominator. If $3$ is added to the numerator and denominator both, the fraction becomes $\dfrac{4}{5}$. Find the original fraction.
Question 6 :
If $a\neq 0$ and $\dfrac{5}{x}=\dfrac{5+a}{x+a}$, what is the value of $x$?<br/>
Question 7 :
If $\sqrt {x-1}-\sqrt {x + 1} + 1= 0$, then $4x$ equals
Question 11 :
Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.
Question 12 :
A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days.At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days.What is the number of men originally employed?<span id="_wysihtml5-undo" class="_wysihtml5-temp">
Question 13 :
Ishika and her grandfather both had birthdays last week. The sum of their ages is $100$ years. Her grandfather's age is $4$ times Ishika's age. How old is Ishika?
Question 14 :
Solve the following equation: $(x\, -\, 2)^{2}\, =\, (x\, +\, 1)\, (x\, -\, 1)$
Question 15 :
The middle digit of a number between 100 and 1000 is zero, and the sum of the other digits is 11. If the digits are reversed, the number so formed exceeds the original number by 495. Find it
Question 16 :
Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$<br/>
Question 17 :
If one-third of a two digit number exceeds its one-fourth by $8$, then what is the sum of the digits of the number?
Question 19 :
Reduce the following linear equation: $6t - 1 = t - 11$<br/>
Question 20 :
Gopal is elder by $4$ years to Govind. After $16$ years Gopal will be thrice his present age and Govind will be five times of his present age. How old is "Gopal"?
Question 21 :
Solve for $x$ : $\displaystyle \sqrt{\frac{x\, -\,2}{x\, +\, 1}}\, =\, \frac{1}{2}$
Question 22 :
The length of a rectangle exceeds its breadth by $9$ cm. If the length and breadth are each increased by $3$ cm, then the area of the new rectangle will be $84 { cm }^{ 2 }$ more than that of the given rectangle. Find the length and breadth of the given rectangle.
Question 25 :
If $3^{2x + 2} = 27^{2}$, find the value of $x$.
Question 26 :
When an iron rod is cut into equal pieces of $30$ cm each, a piece of $4$ cm is left out. When cut into equal pieces of $29$ cm, a piece of $13$ cm is left out. The minimum length of rod is
Question 27 :
The solution of $3^{3x - 5} = \dfrac {1}{9^{x}}$ is __________.
Question 28 :
If $\dfrac { 17-3x }{ 5 } -\dfrac { 4x+2 }{ 3 } =5-6x+\dfrac { 7x+14 }{ 3 } $, find the value of $x$.
Question 29 :
A town's population had increased by $1200$ persons, and then its new population decreased by $11\%$. The town now has $32$ less persons than it did before the $1200$ increase. What was the original population?
Question 30 :
If $\sqrt[3]{5j - 7} = -\cfrac{1}{2}$, calculate the value of $j$.<br/>
Question 31 :
A man covers a distance of $25$ km in an hour, partly on foot at the rate of $4$ km/hr and partly on motorcycle at $32$ km/hr. Find the distance travelled on the motorcycle.
Question 33 :
Find the Solution  : $x - cy - bz = 0 $                                 $ cx - y +az = 0 $                                 $bx+ ay -z = 0 $
Question 34 :
Let $a, b$ and $c$ be non-zero numbers such that $c$ is $24$ greater than $b$ and $b$ is $24$ greater than $a$. If $\dfrac {c}{a} = 3$, then find the value of $b$.
Question 35 :
Meera bought packs of trading cards that contain $10$ cards each. She gave away $7$ cards.<br>$x=$ Number of packs oftrading cards<br>Which expression shows the number of cards left with Meera?
Question 36 :
Find the value of $x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$
Question 37 :
Four times a certain two digit number is seven times the number obtained on interchanging its digits. If the difference between the digit is $4$, find the number.
Question 38 :
$Rs.\,3900.00$ has been distributed among the students (girls/boys) in a class in such a way that the girl student should get $Rs.\,80.00$ and boy should get $Rs.\,30.00$. The number of girl students in the class will be
Question 39 :
The values of a so that the equation $\Vert x - 2\vert - 1\vert = a \vert x \vert$ does not contain any solution lying in the interval {2, 3} are
Question 43 :
If Leah is $6$ years older than Sue and John is $5$ years older than Leah and the total of their ages is $41$. Then how old is Sue?
Question 44 :
The number of solutions (x, y, z) to the system of equations $x+2y+4z=9, 4yz+2xz+xy=13, xyz=13$ such that at least two of x, y, z are integers is
Question 46 :
State true or false:The root of the equation $\dfrac{y}{2}+6 = y$ is $\dfrac{1}{\sqrt{2}}$.<br/>
Question 47 :
The number of solution of $ \left| \left[ x \right] -2x \right| =4$, where $[x]$ denotes the greatest integer less than $x$ is<br/>
Question 48 :
$R = \dfrac{F}{N+F}$<br/>A website uses the formula above to calculate a sellers rating, $R$, based on the number of favorable reviews $F$, and unfavorable reviews $N$. Which of the following expresses the number of favorable reviews in terms of the other variables?<br/>
Question 49 :
Sameera covers a distance of $85.075$ km. She travelled $32.125$ km by bus, $45.5$ km by train and rest by rickshaw. How much distance did she travel by rickshaw?
Question 50 :
The budget for the annual day function of a school was Rs. $60,000$, out of which Rs. $14,500$ was paid to the tent house, Rs. $10,400$ to the band party and Rs. $5,000$ for refreshments. How much money was left over after meeting the expenses?
Question 51 :
In a factory, the production of scooters rose to $48400$ from $40000$ in $2$ years. The rate of growth per annum is
Question 52 :
Geeta purchased a face-cream for Rs. $79.10$ including Sales Tax. If the printed price of the face-cream is Rs. $70$; find the rate of Sales Tax.
Question 54 :
In one year, the population of a village increased by 10% and on the next year, it decreased by 10%. If the end of the 2nd year, the population was 7920, what was it in the beginning?
Question 56 :
If apples are bought at the rate of $30$ for a rupee, how many apples must be sold for a Rupee so as to gain $20\%$?
Question 57 :
Tarun bought a T.V with $20\%$ discount on the labelled price. Had he bought it with $25\%$ discount he would have saved Rs. $500$. At what price did he buy the T.V?
Question 58 :
If you deposited $200 $ in an one year investment that paid interest at the rate of $12$% compounded quarterly, what amount would you have after $1$ year?
Question 59 :
A manufacturer marks an article at Rs. $5,000$. He sells this article to a wholesaler at a discount of $25\%$ on the marked price and the wholesaler sells it to a retailer at a discount of $15\%$ on its marked price. If the retailer sells the article without any discount and at each stage the sales-tax is $8\%$, calculate the amount of VAT paid by:<br/>(i) the wholesaler<br/>(ii) the retailer
Question 61 :
Ashopkeeper sells an article at its list price (Rs. 3000) and charges sales-tax at the rate of 12%. If the VAT paid by the shopkeeper is Rs. 72, at what price did the shopkeeper buy the article inclusive of sale-tax?
Question 62 :
A shopkeeper buys an article for Rs. $1,500$ and spends $20\%$ of the cost on its packing, transportation, etc. Then he marks the article at a certain price. If he sells the article for Rs. $2,452.50$ including $9\%$ Sales Tax on the price marked, find his profit as per cent.
Question 63 :
Naman purchased an old bike for Rs. $20000$. If the cost of his bike is depreciated at a rate of $5\%$ per annum, then find the cost of the bike after $2$ years?
Question 64 :
The printed price of an article is Rs. 2,500. A wholesaler sells it to a retailer at 20% discount and charges sales-tax at the rate of 10%. Now the retailer, in turn, sells the article to a customer at its list price and articles the sales-tax at the same rate. Find the VAT paid by the retailer
Question 65 :
Find the single discount equivalent to a series of discounts of $20\%, 10\%$ and $5\%$?
Question 66 :
A person incurs 5% loss by selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit?<br>
Question 67 :
A shopkeeper sells $100$ kg of sugar partly at $10\%$ profit and the remaining at $20\%$ profit. If he gains $12\%$ on the whole transaction how much sugar did he sell at $20\%$ profit?
Question 68 :
The present worth of Rs. $169$ due in $2$ years at $4\%$ per annum compounded interest is:
Question 69 :
The total cost of production of $n$ items is given by $C=7n+350$. The selling price of an item is $ $12$. Which of the following inequalities gives all possible values of $n$ company will make a profit?<br/>
Question 70 :
In how many years will a sum of Rs. $8000$ at $10\%$ per annum compounded semi-annually become Rs. $9261 $?
Question 71 :
Asum of Rs. 11000 was taken as a loan. This is to be repaid in two equal instalments. If the rate of interest be 20% compounded annually, then the value of each instalment is<br/>
Question 72 :
Calculate compound interest for Rs $10,000$ for 1 year at 8% compounded semi -annually.
Question 73 :
Choose the correct answer from the alternatives given :<br>Mr.Ram runs a clothing store. His overhead expenses are 32% and his profits are12% of his sale. At what price should he sell a raincoat which costs him Rs. 10.50?
Question 74 :
A student buys 3 pencils for Rs.4 and sells all at for Rs.5. His gain or loss % is<u> </u>
Question 75 :
How many years will it take for equipment with an initial value of Rs. $2000$ to reach its scrap value of Rs. $1000$ if depreciation is reducing-balance at $15\%$ p.a. of the current value?<br/>
Question 76 :
The compound interest on a certain sum for two years is $Rs.618$, whereas the simple interest on the same sum at the same rate for two years is $Rs.600$. The rate of interest per annum is:
Question 77 :
A man sells three articles. First article for $Rs \ 24,000$ at $20\%$ profit, second article for $Rs \ 18,900$ at $125\%$ profit and the third for $Rs 14,850.$If on the whole, he gains $\displaystyle 3\frac{1}{8}\%,$ find the cost price of the third article.
Question 78 :
Renu sold an article at a loss of $8$ percent. Had she bought it at $10$% less and sold for Rs. $36$ more; she would have gained $20$%. Find the cost price of the article.
Question 79 :
An article cost Rs $80$ to the vendor. If he marks the article for $50$% more than the cost price and sells it $25$% less than the marked price. What is his gain percentage ?
Question 80 :
The marked price of an article is Rs. 18,000 and is available in Delhi at 30% discount. A shopkeeper from Bhopal buys this article in Delhi and spends Rs. 950 on his travelling and Rs. 450 on the transportations etc. of the article. Find the profit per cent made by the shopkeeper, if he sells the article at Bhopal at 10% discount.
Question 81 :
Manoj travels from Meerut to Delhi to buy goods which he gets 10 per cent cheaper in Delhi than in Meerut. If his journey expenses are Rs. 160 and he earns Rs. 240 by selling goods at Meerut; calculate the price of the goods, he paid at Delhi.
Question 82 :
A man gave $50\%$ of his savings of $84100$ to his wife  and divided the remaining sum among his two sons $A$ and $B$ of $15$ and $13$ years of age respectively. He divided it in such a way that each of his sons, when they attain the age of $20$ years would receive the same amount at $5\%$ compound interest per annum, the share of $B$ was -
Question 83 :
Choose the correct answer from the alternatives given.<br>Theaverage age of eleven cricket players is 20 years. If the age of the coach isalso included, the average age increases by 10%. The age of the coach is
Question 84 :
If the diameter of a sphere is decreased by $25\%$, by what percent does its curved surface area decrease?
Question 85 :
At what rate per cent per annum will a sum of Rs. $7500$ amount to Rs. $8427$ in $1\dfrac{2}{2}$ years, compounded annually?<br/>
Question 86 :
The difference between the simple interest on a certain sum at the rate off $10\%$ per annum for $2$ years and compound interest which is compounded every $6$ months is Rs. $12000$. What is the principal sum?
Question 87 :
While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%; he earns 215 less as profit. The marked price of the watch is _______.
