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In a group of students, 60% can speak English and 75% can speak Hindi. If 25% of the students can speak none of the two languages, then what percent of the group can speak both languages?

Find the no. of ways in which 15 players can be equally divided into three groups

graphs will intersect in the first quadrant?

Consider a line passing through the points (0,0) and (2,2). Then the slope of this line is _____.

15 persons which include A, B and C are to speak at a function. Find the number of ways in which it can be done, if A wants to speak before B and B wants to speak before C.

राजा गुरुजी की बातों में न आता?

How many steps will be required to get the final output from the following input?

Input: 78 293 411 675 64 132 33

Which of the following will come in place of the question mark (?) in the following sequence?

6C7, 8F10, 11J14, 15O19, ?

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is

A circle of radius 3 crosses the centre of a square of side length 2. Find the approximate positive difference between the areas of the non-overlapping portions of the figures.

Square ABCD has sides of length 3. Segments CM and CN divide the square's area into three equal parts. How long is segment CM?

A certain type of fan used to be sold for 1,300 rupees resulting in 15% profit for the dealer. Find the total cost of this fan.

During winter, the dealer decided to reduce the usual price of the fan by 120 rupees. Does he have a profit or loss now? What is the percent?

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

Note: Teacher Pupil Ratio = ‘n’ implies that there is 1 teacher for every ‘n’ students on an average;

Q17. The total number of students, in 2014-15, across all the three segments is 3276. The ratio of the total students in Primary School and High School combined to that of Upper Primary school is 2:1. The ratio of number of teachers in Primary schools to High School is 3:1. What is the number of teachers in High School?

A star moving away from earth with a speed of $0.02c$, while emitting light of frequency $6\times {10}^{14}\text{Hz}$. What frequency will be observed on earth?

(Take $c=3\times {10}^8\text{m/s}$)

In a certain class of 300 students, the number of students who either do not study at home or do not attend classes is a third more than of those who either study at home or attend classes. The number of students who do not study at home but attend classes is two fifths more than those who study at home but do not attend classes, while the number of students who study at home as well as attend classes is half of those who neither study at home nor attend classes. If the number of students who only study at home or only attend classes is a third less than those who do either, then how many students who either do neither or do both?

Let A be an array of integers. A Fixed point of 'A' is an integer 'i' for which A[i] = i. The time complexity of an efficient algorithm to find any fixed point in a sorted array of n is

Consider two forces 6 N and 4 N as shown in below figure acting on an object in the opposite directions. The mass of the object is 2 kg. What is the acceleration of the object?

Find the 10th term of the sequence $\sqrt{2},\sqrt{8},\sqrt{18}$

An architecture company built 200 bridges, 400 hospitals and 600 hotels. The probabilities of damage due to an earthquake to a bridge, hospital and hotel are 0.01, 0.03 and 0.15 respectively. One of the construction gets damaged by the earthquake. What is the probability that it is a bridge?

Q. Find the ratio between the maximum and minimum number of pieces that can be obtained by cutting a cube 16 times.

Q. एक घन को 16 बार काटकर प्राप्त होने वाले अधिकतम और न्यूनतम टुकड़ों के बीच का अनुपात ज्ञात करें।

Three girls Reshma, Salma and Mandip are playing a game standing on a circle of radius $5m$ drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If distance between Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between Reshma and Mandip?

Among the employees, the Promoter Clerk-I is approximately what percent of that of Direct Recruit Clerk-I?

In a 300 m race, Abhishek runs at 24 km per hour. If Abhishek gives Kashyap a start of 12 m and still beats him by 45 seconds. What is the speed of Kashyap?

Statements

I. All boys are tall.

II.All Punjabi are tall.

Conclusions

I. All boys are Punjabi.

II. Some boys are Punjabi.

How many children does Mayank have ?

Statement I : Hema is the only daughter of Prakriti who is wife of Mayank.

Statement II : Kiran and Jayant are brothers of Mayank.

In these a question is followed by two statements (I) and (II). Choose a, if statement (I) is sufficient to answer the question asked, but statement (II) by itself is not sufficient to answer the question. Choose b, if statement (II) by itself is sufficient to answer the question, but statement (I) alone is not sufficient to answer the question. Choose c, if both the statements (I) and (II) together are sufficient to answer the question but neither statement by itself is sufficient to answer the question. Choose d, if the two statements, even when taken together, are not sufficient to answer the question.

Q8. How many students are enrolled in Ravi's music class?

I. If three more students sign up and none drop out, there will be more than 35 students in the class.

II. If four students drop out of the class and no more sign up, fewer than 30 students will be enrolled in the class.

Q6)At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and $P\left(\frac{B}{A}\right)$ = 0.6, find P(A $\cup$ B)

If two number which have least common factor 3 and 2 respectively are added Find the least common Prime factor of the new number formed

Four alphabets A, M, P, O are purchased from a warehouse. How many ordered pairs of initials can be formed using these?