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If $15$ books are arranged in a row then the number of ways of choosing $4$ books such that all the four books are not together is

Which of the following is/are correct?

1. The constitution does not fix the number of members of UPSC.

2. One-half of the members of the UPSC should be person who has field office under central or state government atleast for five years.

3. The salaries and allowances of members of UPSC is determined by the parliament.

4. Tenure of chairman and members of UPSC is Five years or until they attain the age of 60 years.

5. The entire expenses of UPSC are changed on the consolidate Fund of India.

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The shortest distance of the point $(\frac{1}{2},1)$ from the curve $y=|x-1|+|x+1|$ is

Let $f\left(x\right)$ be a quadratic polynomial such that $f(-1)+f\left(2\right)=0$. If one of the roots of $f\left(x\right)=0$ is $3,$ then its other root lies in:

Ahmed and Sahil set out together on bicycle traveling at 15 and 12 kilometers per hour, respectively. After 40 minutes, Ahmed stops to fix a flat tire. If it takes Ahmed one hour to fix the flat tire and Sahil continues to ride during this time, how many hours will it take Ahmed to catch up to Sahil assuming he resumes his ride at 15 kilometers per hour? (consider Ahmed's deceleration/acceleration before/after the flat to be negligible)

If $|asi{n}^2\theta +bsin\theta cos\theta +cco{s}^2\theta -\frac{1}{2}(a+c)|\le \frac{1}{2}k,$ then $k^2$ is equal to

An unbiased die is tossed twice. Find the probability of getting a 1, 2, 3 or 4 on the first toss and a 4, 5 or 6 on the second toss.

What is the remainder when ${1202}^{12}$ is divided by 1000?

Consider the map given below indicating four places frequently figuring in the news : Which one of them is Chechenya ? Choose the correct answer.

A train met with an accident 80 km away from old Delhi railway station. It travels at ${\frac{5}{6}}^{th}$ of the usual speed and reaches the Kanpur central 1 hour 12 min late. Had the accident taken place 120 km further. It would have been only 1 hour late. What is the distance between Old Delhi Railway station and Kanpur Central?

Q45)Which of the following pairs has similar relationship as Run: Race?

Q. Find the angle between the minute hand and the hour hand of a clock when the time is $4:40$ pm.

Q. एक घड़ी के मिनट वाली सुई और घंटे वाली सुई के मध्य का कोण ज्ञात कीजिए जब घड़ी में शाम के $4:40$ बज रहे हैं।

If the price of a book is reduced by Rs 5, a person can buy 5 more books for the same amount, i.e.. Rs 300. Find the original list price of the book.

How much milk should be added to 800 dl of a 15% milk solution to make the strength 32%?

Let X be the set of first 100 natural numbers. Sets S1 and S2 are subsets of X such that each of them has more than zero elements and no common element. If the maximum number of elements in S1 = x1, in S2 = y1 and minimum no. of elements in S1 = x2, in S2 = y2 then:
If |x1 - y1| and |x2 - y2| are at their minimum possible values then which of the following is true?

The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m²).

Which of the following can be classified as the smaller angle between the hour hand and minute hand at 8 o'clock?

In how many different ways, the schedule of all exams are possible?

A box contains 9 red toys, 9 green toys and 7 blue toys. Each ball is of a different size. The probability that the red ball being selected is the smallest red toy is:

If one pipe A can fill the tank in 10 hours then 4 pipes each of efficiency 20% as that of Pipe A can fill the same tank in how many hours?

Question 97

A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %

Q10. In 2008 all of the people who applied for a job at Wipro also applied for a job at HCL. Wipro and HCL each offered jobs to half of these applicants. Therefore, every one of these applicants must have been offered a job in 2015.

The argument above is based on which of the following assumptions about these job applicants?

Q7. The height and the radius of the base of a right circular cone are 12 cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is

f(x) = |x|. If f(x) is reflected with respect to the line x -2 =0 to get g(x), then which of the following is g(x)?