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ABCD is a quadrilateral in which$\frac{z}{y}=\frac{y}{x}=\frac{x}{w}=k$ and k is an integer. Also {w, x} < 90 and {y, z} > 90, then the difference between the greatest angle and smallest angle (i.e., z - w) is :

Write a notice for your school bulletin board. Your notice could be an announcement of a forthcoming event, or a requirement to be fulfilled, or a rule to be followed.

Four alternative options are given for each of the following statements.

Select the correct option.

The percentage of loss, when an article worth Rs 10,000 was sold for Rs 9,000 is:

A. 10

B. 20

C. 15

D. 25

Study the following information carefully and answer the given questions:
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and the rearrangement which the machine follows. (All the numbers given in the arrangement are two digit numbers).
Input: gone over 35 69 test 72 park 27
Step I: 27 gone over 35 69 test 72 park
Step II: 27 test gone over 35 69 72 park
Step III: 27 test 35 gone over 69 72 park
Step IV: 27 test 35 park gone over 69 72
Step V: 27 test 35 park 69 gone over 72
Step VI: 27 test 35 park 69 over gone 73
Step VII: 27 test 35 park 69 over 72 gone
And Step VII is the last step of rearrangement of the above input as the desired arrangement is obtained.
As per the rules followed in the steps, find out in each of the following questions the appropriate step for the given input.

Step II of an Input: 18 win 71 34 now if victory 61
How many more steps will be required to complete the rearrangement?

What will be the value of $x^{\frac{1}{2}}.x^{\frac{1}{4}}.x^{\frac{1}{8}}...$ to infinity.

If any student gets more than 60 marks in Electric Machines and more than 75 marks in Analog Electronic, he can get 100% scholarship. How many students will get 100% scholarship?

If $a,b$ and $c$ are nonzero real numbers such that $ab=2(a+b),bc=3(b+c)$ and $ca=4(c+a)$ then the value of $5a+7b+c$ is :

A piece of paper is in the form of a right angle triangle in which the ratio of base and perpendicular is 3 : 4 and hypotenuse is 20 cm. What is the volume of the biggest cone that can be formed by taking right angle vertex of the paper as the vertex of the cone?

If $\alpha$, $\beta$, $\gamma$, $\delta$ are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive
quantity k, then the value of 4 sin $\frac{\alpha }{2}$ + 3 sin $\frac{\beta }{2}$+ 2 sin $\frac{\gamma }{2}$ + sin $\frac{\delta }{2}$ is equal to

What is the percentage increase in the number of Foreign Nationals from the category "others” over the given period?

If p is the arithmetic mean of the positive numbers a and b, and the reciprocal of the number q is the arithmetic mean of the reciprocals of a and b. Then p – q =?

At a certain rate of interest, the interest after $4$ years on $Rs.5000$ principal is $Rs.1200$. What would be the interest on $Rs.15000$ at the same rate of interest for the same period?

Two of the exams fall on

Who among them scored minimum in Science?

Two squares are chosen at random on a chessboard, the probability that they have a side in common is:

In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens? ___

I. $x^2$+ 9x + 14 = 0

II. $y^2$ + y - 2 = 0

Alex and Peter bought sugar. Sugar bag bought by Alex weighs 4 kg. but, Peter's bag weighs more. Which of the following shows the inequality for the above situation?

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re.1. The sum (in Rs.) is:

In which city is Swimming played?

In step IV of the rearrangement, if onto is related to erode and moon is related to dagger in a certain way, to which of the following would anger be related to, following the same pattern?

The number of bricks, each measuring 25 cm $\times$ 12.5 cm $\times$ 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is:

The solution set of inequality |x -1| + |x + 1| < 4 is

How many times is ‘5’ is followed by ‘9’? But in such pairs, ‘3’ should not come before ‘5’.

Draw the graphs of lines 3y = 4x − 4 and 2x = 3y + 4 and determine the point at which these lines meet.

The weight of a baby elephant was $218.99kg$. After two years, his weight increased by $128.85kg$. Find the weight of the elephant after two years.

Q. There are two vessels - A, and B. A contains water and milk in the ratio 3: 2 and vessel B contains milk and honey in the ratio 5: 4. If one takes equal quantities of solutions from vessels A and B, and pours it into vessel C, what will be the concentration of milk in the new solution?

Q. दो पात्र A और B हैं। पात्र A में 3: 2 के अनुपात में पानी और दूध है और पात्र B में 5: 4 के अनुपात में दूध और शहद है। यदि कोई व्यक्ति, पात्र A और B से समान मात्रा में मिश्रण निकालता है और इसे पात्र C में डाल देता है, तो नए मिश्रण में दूध की सांद्रता क्या होगी?

If the code of sixth batch of the day is ‘vase say clown man on farm’, which of the following batch codes would read as ‘say clown vase farm man on’?

In a group of 70 people, 37 like coffee, 52 like tea and each person like at least one of the two drinks. The number of persons liking both coffee and tea is ___.

Which of the following statement(s) is/are correct?
I. Chandan and Dinesh gave a presentation on Classroom learning vs experiential learning on Friday and Tuesday respectively.

II. Anil and Eklavya gave a presentation on Time management and The Lehmann Crash respectively on Tuesday.

Directions:- Study the following information carefully to answer the question given below.

Seven persons – A, B, C, D, E, F and G are standing in a straight line facing north at equal distances but not necessarily in the same order. Each of them is a different professional viz. Actor, Reporter, Doctor, Engineer, Teacher and Painter but not necessarily in the same order.
G is standing at the fifth position to the left of C. Reporter is standing at the third position to the right of G. F is standing at the fifth position to the right of A. E is standing second to the left of B. Engineer is standing at the second position to the left of D. Three persons are sitting between the Engineer and the Painter. The Doctor is to the immediate left of the Engineer. The Lawyer is to the immediate right of the Teacher.

How many persons are there to the left of the Reporter?

The product of three consecutive terms of a G.P.is 8, then the value of the middle term is

If the final amount of money that Ghosh Babu had with him was Rs. 100, the initial amount he had with him is___

Q4. Consider the following statements about Endo-ultrasound (EUS).

1. A new equipment, endoultrasound (EUS) has been able to identify and manage malignant tumours.

2. The EUS can be used to identify tumours starting from oesophagus.

Which of the above statements are incorrect?