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If a 3-digit number 'abc' has 2 factors, how many factors does the 6-digit number 'abcabc' have?

Find the next term in the following sequence.
U!, B, I#, P$, W%, ?

A bag contains 5 white and 3 black balls, and 4 balls are successively drawn out and not replaced. What's the chance of getting different colours alternatively?

I bought a second-hand car for Rs. 50,000, transported it for Rs. 5,000 and sold it for Rs. 59,400. What is my profit %?

The difference between $9^{th}and{19}^{th}$ term of an A.P. whose first term is a and common difference is d is

In a queue, A is 18${}^{th}$ from the front while B is 16${}^{th}$ from the back. If C is 25${}^{th}$ from the front and is exactly in the middle of A and B, then how many persons are there in the queue?

A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

If step II of an input is “car 89 38 end for 29 46 disk”

which of the following will be the last step?

Find the complete range of values of x that satisfies $|x+3|>x^2-11x+30.$

If PC and PD are tangent to the circle from point P and AB is a third tangent at point Q such that AQ = 4 cm and PC = 16 cm, then PA =?

If $\frac{3}{5}$ of a number exceeds it's $\frac{2}{7}$ by $44$. Find the number.

Find the sum of n terms of the series $S_n=1\ast 2+3\ast 2^2+5\ast 2^3+9\ast 2^4+.......$

If $ab\times cd=3337$ and $ba\times cd=799,$ find the value of $(ab+cd)$ given that ab, ba and cd are all two digit positive integers.

Prove that in a right-angled triangle, the mid-point of the hypotenuse is equidistant from the vertices.

If 3m - 5m = -1 and 2m = n-3, find the value of (3m+5n) and (m+2n).

S= {1, 2, 3, 4, 5, 6 ......n), a subset x is formed which contains all the pairs of numbers possible from S. Find the sum of, the lesser number in each pair, belonging to set x.

The remainder obtained when ${97}^7$ is divided by 7 is

For construction, a certain amount of wire was being shipped, out of which $10\%$ was stolen. After using $85\%$ of the remainder, 472.5 m of wire was left. How much wire was initially shipped?

71 24 97 blabber overarch forage 42 war

How many steps will be required to complete the re-arrangement?

Find the next term in the following sequence.
1!AZ , 2BY , 3#CX , 4$DW , ?

An elevator starts at the basement with 9 people (excluding the elevator operator) and discharges them all by the time it reaches the top floor, which is floor number 6. In now many ways could the operator have perceived the people leaving the elevator if all the people look the same? (there are totally 6 floors excluding the basement)

Find the sum of areas of POQ and ORS

Three numbers are to be selected at random without replacement from the set of numbers {1, 2, ... n}. The conditional probability that the third number lies between the first two if the first number is known to be smaller than the second is :

Which country recently launched “Petro” cryptocurrency?

Q. It is sometimes argued that the exam system acts as a custodian which doesn’t permit a vast number of children to go forward. Do exams throttle India’s education system? Critically evaluate.

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

Eight friends A, B, C, D, E, F, G and H are sitting around a circle facing the centre, but not necessarily in the same order.
• D sits third to left of A. A is an immediate neighbour of both F and H.
• Only one person sits between C and F.
• B is not an immediate neighbour of D.
• Only one person sits between B and G.

Which of the following is true with respect to the given seating arrangement?

Ajay and his wife Kajol appear in an interview for two vacancies in the same post. The probability of Ajay's selection is $\frac{1}{7}$ and that of his wife Kajol's selection is $\frac{1}{5}$. What is the probability that both of them will be selected?

I usually take 72 minutes to reach college. On one fateful day, after traveling ${\frac{1}{3}}^{rd}$ of the distance, I realized that I left my ID card at home and returned to pick it up and then went back to college. To reach on time, I increased my speed by 30 kmph from the point I turned back home till the time I reached college. Assuming that no time was lost at home, what is my usual speed?

Find the sum of the series $N=\frac{1}{3}+\frac{1}{15}+\frac{1}{35}.........100$ terms

Digit sum (DG) is defined as the sum of the digits of a number till you get a single digit number. Eg) DG(40)=4+0=4. DG(345)=DG(12)=DG(3)=3. How many positive integers (n) are there between 500 and 1500 such that DG(N)=7?

Consider the region formed by the intersections of three semi circles whose diameters, of lengths 3, 4 and 5, from a triangle. What is the area of shaded region bounded by the arcs AB, BC and AC?

Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10. Its area is 80. What is the exact length of its third side?

Study the following graph carefully and answer the questions that follow

Q69. How many more medals should India win to make the ratio of medals won by China to India as 2:3?

Doubling the perimeter of a triangle, keeping the shape the same, multiplies the area by

Q12. What is the units digit of (13)⁴(17)²(29)³?

In a line of students Madan is on 14${}^{th}$ position from the right and Dhiraj is on 19${}^{th}$ position from left. When they both interchange their positions then Madan is on 19${}^{th}$ position from the right. What will be the position of Dhiraj from left?

Which word/number would be at5${}^{th}$position from the right in Step V?

$Thevalueof\frac{P+Q}{P_Q}if\frac{P}{Q}=7is$

The quadratic function $f\left(x\right)=a{x}^2+bx+c$ is known to pass through the points (-1, 6), (7, 6), and (1, - 6). Find the smallest value of the function.

In a Degree college there are 3 branches and it is mandatory to opt for at least one branch. 70% students opted for Science, 60% students opted for commerce and 92% students opted for Arts. A student can opt more than one branch. What is the maximum and minimum number of students that can opt all three streams?