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If 7 divides ${32}^{{32}^{32}}$ then the remainder is ___

Find the value of $\frac{1}{1+\frac{1}{3-\frac{4}{2+\frac{1}{3-\left(\frac{1}{2}\right)}}}}+\frac{3}{3-\frac{4}{3+\frac{1}{2-\left(\frac{1}{2}\right)}}}$

What will the fourth step for an input whose second step is given below?

Step: 678 42 183 289 523 78 110 350

P, Q, R take contract for a work at Rs.2200. P and Q together are to do 8/11 of the work. What is R's share?

Which of the following was the first weekly whose publication ceased following the Licensing Regulations of 1823?

If X and Y are integers such that X$\ne$Y, then is |X|Y$>$0?
(1) $|X^Y|>0$

(2) $|X{|}^Y$ is a non-zero integer

A square field has length of 4 meter. On the one corner of the square, a cow is tied with the rope length of 5 meter. The maximum area, cow can graze is ___ $m^2$ (Approximately)

In the adjoining figure ABCD, P and R are the mid-points of the sides AB and CD. ABCD is a parallelogram. What is the ratio of the shaded to the unshaded region?

In the given figure, AB || CD, $\angle ABO={40}^{\circ }$ and $\angle CDO={30}^{\circ }.$ If $\angle DOB=x,$ then find the value of x.

Study the graph and answer the question based on it.

A company’s income and expenditure year per year (in crore rupees)

Q9. What was the percentage increase in income from 1992 to 1993?

Fresh grapes contain $90\%$ water by weight while dried grapes contain $20\%$ water by weight. What is the weight of dry grapes available from $20$ kg of fresh grapes?

In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any.

Over the course of more than 500 columns and 100,000 comments / I‘ve learned a lot about how deeply we all care / about juggling work and family / but I've never learned what any of you looks like.

The number 2 represents which letter?

Box I contains 5 red and 6 black marbles. Box II contains 4 red and 5 black marbles. One marble is drawn at random from Box I and dropped into Box II. A marble is then drawn at random from Box II and dropped into Box I. A marble is now picked at random from Box I. Find the probability that the last marble drawn from Box I is red.

In which month was the rejected stock of F, higher than that of T?

If a 3 digit number 'abc' has 3 factors, how many factors does the 6-digit number 'abcabc' have?

ABCDEF is a regular hexagon, with O as the centre. There is another regular hexagon with two of the end points PQ inscribed in the above hexagon (again with centre O). Find the area of the unshaded region, given that FPQC lies on a straight line and FP=CQ=2 and $FP=\frac{1}{3}FO$.

A circle of radius 10 units that circumscribes an equilateral triangle. Find the area of the triangle.

If the units digit of a perfect square is 4, then the number is always divisible by which of the following :

Step II of an input: 18 win 71 34 now if victory 61

How many more steps will be required to complete the rearrangement?

In a certain code, `847' means `spread yellow carpet'; `863' means `dust one carpet' and `834' means `one yellow carpet'. Which digit in that code means `dust'?

5X${}^2$ - 18X + 9 = 0

20Y${}^2$ - 13Y + 2 = 0

N is a five-digit number such that all its digits are non-zero and even, and there is only a single repetition. If the repeated digits are adjacent, and N is divisible by 4, how many possible values can N take?

The sum to n terms of the series $\frac{1}{\sqrt{1}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+\cdots$ is:

The number of PhD teachers in university B is approximately what percent of the total number of teachers in the university?

$I.\frac{4}{\sqrt{x}}+\frac{7}{\sqrt{x}}=\sqrt{x}II.y^2-\frac{{11}^{\frac{5}{2}}}{\sqrt{y}}=0$

Study the following graph carefully and answer the questions that follow.

Q46. If the GDP of Brazil in 2007 is $540 bn, what was its GDP in 2010 (approximately)?

90 students represent x percent of the girls at Bangalore High School. If the girls at Bangalore High School make up 40% of the total school population of x students, what is x?

Input: ink hurry yet for the victory

Which of the following will be the last step of the above input?

If a and b are two consecutive integers such that a>b and product of the two integers is c. Then $(a+b{)}^2$ =

Manisha Patel has outstanding academic record. She had secured first class in MCom front Gujarat. She had completed PhD by 31 December 2005. She has cleared the eligibility test of Gujarat state-level accredited she did not study Hindi or Bengali up to the 10th standard.

The profit share of A after 1 year is twice more than that of B. If B joined after for 4 months, then find the ratio of the investment of A to that of B.

Find the number of different possible points scored by Peter, Thomas and Ram given that they score a total of 32 points and Peter scores a minimum of 4 points. (Note:- All points scored are whole numbers)

Which brand earned the maximum revenue after tax?

Which boy is coached by Mr. Abdul?

According to the passage what benefits did the Botigrani Yojana (JGY) bring to the rural population?

I. All households got single phase 24 x 7 electricity for domestic use

II. All farmers got 24x7 electricity at subsidized rate for agriculture

III. Farmers got three phase subsidized electricity continuously for 8 hours for agriculture

IV. For rural households load shedding became a thing of the past

What is the ratio of the total expenditure on infrastructure and transport to the total expenditure on taxes and interest on loans?

Find the sum of all two digit numbers which are multiples of 5.

In the given figure, AB || CD and AC || BD. If $\angle EAC={40}^{\circ },\angle FDG={55}^{\circ },\angle HAB=x^{\circ },$ then find the value of x.

In the given circle O is the centre of the circle and AD, AE are the two tangents. BC is also a tangent, then: