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What is the difference in the number of year(s) spent by Kishore in U.P. and Maharashtra?

Q29. Consider the following Statements regarding Official Language:

1. Article 343 (1) of the Constitution provides that Hindi in Devanagari script shall be the official language of the Union.

2 Article 343 (3) empowered the Parliament to provide by law for continued use of English for official purposes even after January 25, 1965.

Which of the above statement(s) is/are correct?

Q50. Two positions of a dice are shown below. When number 1 is on the top, what number will be at the bottom?

$If\sqrt{0.03\times 0.3\times p}=0.3\times 0.03\times \sqrt{q}then\frac{p}{q}=?$

I. 2$x^2$ - 7x + 6 = 0
II. 4$y^2$ = 9

The receipts on railway travel vary as the excess of speed of the train over 30 kmph. The expenses vary as the square of that excess. What is the speed at which the profits will be greatest, if at 60 kmph the expenses are just covered?

Statements :

All oranges are apples.

Some apples are papayas.

Conclusions :

I. Some oranges are papayas

II. Some papayas are apples.

Last year, the five employees of Company X took an average of 16 vacation days each. What was the average number of vacation days taken by the same employees this year?
1) Three employees had a 50% increase in their number of vacation days, and two employees had a 50% decrease.
2) Three employees had 10 more vacation days each, and two employees had 5 fewer vacation days each.

If no of units of Brand 3 increases by 20% and there is decrease of 16.66% in its price per unit then tax collected by brand 3 will be more or less as compared to brand 1 by how much percentage approximately?

A goat is tied to two poles P and Q with 15 m ropes. P and Q are 20 m apart. What is the area the goat is likely to graze.

Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4 and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs. 19 crore more than C1, then the total profit (in Rs.) made by all five companies is

What is three – fourth of the total number of lions in the grasslands of all the four countries in the year 2000?

Percentage wise distribution of players who play six different games

Q10. What is the difference between the total number of players who play football and horse riding together and the total number of players who play swimming and tennis together?

Q55. A rectangular tabletop consists of a piece of laminated wood bordered by a thin metal strip along its four edges. The surface area of the tabletop is x square feet, and the total length of the strip before it was attached was x feet. If the tabletop is 3 feet wide, what is its approximate length, in feet?

If the binder’s charges amount to 6000, then the expenses on the cost of promotion would have been what percentage of the profit if the revenue was 300% higher than the content development cost.

What is the code for 'she' in the given code language?

I. In the code language, 'she walks fast' is written as 'ka re pa'.

II. In the code language, 'do it fast' is written as 'jo to re'.

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

If two vertices of the diagonal of a square are (3, 4) and (7, 8), find the length of the side of the square.

$(2+x+x^3{)}^5=a_0+a_{1}x+.....+a_{15}{x}^{15}$. find the value of $a_0+2a_1+a_2+2a_3....+2a_{15}$

Let $a_1,a_2\dots a_{3n}$ be an arithmetic progression with $a_1=3$ and $a_2=7$. If $a_1+a_2+\dots +a_{3n}=1830$, then what is the smallest positive integer m such that $m(a_1+a_2+\dots +a_n)>1830$?

Let AB, CD, EF, GH, and JK be five diameters of a circle with centre at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?___

Let $f\left(x\right)=x^2$ and $g\left(x\right)=2^x,$ for all real x. Then the value of f( f(g(x)+g(f(x))) at x=1 is

The total number of silver-coloured vehicles sold in Lucknow is approximately what percentage of that in Patna?

The two circular surfaces of a frustum cut out of a right circular cone have radii $2R$ and $3R$ with their centres at $A$ and $B$ respectively and height, $h=3R$. When a point charge $Q$ is placed at $A$, the flux of electric field through the circular face of radius $3R$ is ${\varphi }_1$, and when the charge $Q$ is placed at $B$ , the flux through the circular face of radius $2R$ is ${\varphi }_2$.
The ratio $\frac{{\varphi }_1}{{\varphi }_2}$ is :

The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.

The following trial balance is extracted from the books of M/s Ram on March 31, 2011. You are required to prepare Trading and Profit and Loss account and the balance sheet as on date

$\begin{array}{cccc}\text{Account Title}& \text{Amt. (Rs.)}& \text{Account Title}& \text{Amt. (Rs.)}\\ \text{Debtors}& 12,000& \text{Apprenticeship Premium}& 5,000\\ \text{Purchase}& 50,000& \text{Loan}& 10,000\\ \text{Coal, Gas and Water}& 6,000& \text{Bank Overdraft}& 1,000\\ \text{Factory Wages}& 11,000& \text{Sales}& 80,000\\ \text{Salaries}& 9,000& \text{Creditors}& 13,000\\ \text{Rent}& 4,000& \text{Capital}& 20,000\\ \text{Discount}& 3,000& & \\ \text{Advertisement}& 500& & \\ \text{Drawings}& 1,000& & \\ \text{Loan}& 6,000& & \\ \text{Petty Cash}& 500& & \\ \text{Sales Return}& 1,000& & \\ \text{Machinery}& 5,000& & \\ \text{Land and Building}& 10,000& & \\ \text{Income tax}& 100& & \\ \text{Furniture}& 9,900& & \end{array}$

Last year, the five employees of Alpha Ltd. took an average of 16 vacation days each. What was the average number of vacation days taken by the same employees this year?

(1) Three employees had a 50% increase in their number of vacation days, and two employees had a 50% decrease.

(2) Three employees had 10 more vacation days each, and two employees had 5 fewer vacation days each.

If a, b, c and d are integers such that a + b +c+ d = 30, then the minimum possible value of $(a-b{)}^2+(a-c{)}^2+(a-d{)}^2$ is___

There may not be large differences in the height of boys and girls from $2^{nd}$ to $5^{th}$ year.

Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?

For real values of x, the expression $\frac{(x-b)(x-c)}{(x-a)}$ will assume all real values provided

How many five digit number can be formed using the digits 2,3,8,7,5 exactly once such that they are divisible by 125?

An arithmetic series consists of 2n terms, and the first term equals the value of the common difference. If a new series is formed taking the 1st, 3rd, 5th,... (2n -1)th term of the old series, find the ratio of the sum of the new series to that of the sum of the terms of the old series.

If the different permutations of the word PRODIGIOUS are listed as in a dictionary, then what is the rank of the word PRODIGIOUS?

Consider the set S={2,3,4......2n+1}, where n is a positive integer larger than 2007. Define X as the average of odd integers in S and Y as the average of the even integers in S. What is the value of X-Y?

Going 50 m to the South of her house, Radhika turns left and goes another 20 m. Then turning to the North, she goes 30 m and then starts walking to her house. In which direction is she walking now?

A person can only move upwards or towards right. In how many ways can he travel from A to C via B