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Item D will be cooked between which of the following pairs?

$\text{Find the value for p, q for :}\frac{4}{p}+\frac{15}{q}=72,\frac{15}{p}-\frac{1}{q}=41$

The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

Q31. In climbing a 21 metre long round pole, a monkey climbs 6 metres in the first minute and slips 3 metres in the next minute. How many minutes would the monkey take to reach the top of the pole?

Who among them scored the $2^{nd}$ minimum in Maths?

The number of zeroes in the quotient obtained when 45! – 43! is divided by 10 is

T is slower than S. S and T each walk 48 km. The sum of their speeds is 14 kmph and the sum of their time taken is 14 hrs. Then what is S's speed?

In the given figure ADEC is a cyclic quadrilateral, CE and AD are extended to meet at B. $\angle CAD={60}^{\circ }$ and $\angle CBA={30}^{\circ }.$ BD = 6 cm and CE = $5\sqrt{3}cm,$ What is the ratio of AC : AD?

$\text{If}6ax-\frac{9ax}{5}+1=4x+89,\text{find x, when a = 2}$

How far and in which direction is point T from point N?

Find the approximate value of x, for this equation to be satisfied: $x^{x^{x^{x^x}}}-4=0$. Given that $(a^m{)}^n=a^{mn}$

Each boy in a group of boys contributed twice as many rupees as they were in number for their trip. The total collection was Rs.1682. How many boys were there in the group?

Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals.

If the side is of length a, then one which is not the vertex of square

C and D take part in 200 m race. C runs at 10 kmph. C gives D a start of 16 m and still beats him by 16 seconds. The speed of D is:

Lal is taller than Nand and Jim is taller than Harry. Who among them is the tallest?

I. Jim is taller than Nand.

II. Lal is taller than Harry.

$Findthevalueofx:\frac{1}{1+\frac{1}{1-x}}=2$

Q41. In the following number series there is a wrong number. Find out that number.

56, 72, 90, 108, 132

When Arpita was going through her address book, she glanced upon the telephone number of her old friend, Gita. However, the last two digits were erased. But being a math freak, Arpita remembered that Gita had a 6 digit telephone number starting with 2345_ _ whose digital sum =7 (digital sum is the sum of the digits of a number till a single digit number is obtained). Find the maximum number of trials till she dials the right number.

How many times do the two consecutive numbers (numbers one after the other) have a difference of 2?

In the $\Delta$ PQR, PS is the bisector of $\angle P$ and PT $\perp$ QR, then $\angle TPS$ is equal to

In case of magazine R, between which two given months was there approximately 15% rise in advertisement revenues generated (from both printed and online version together)?

$Whichofthefollowingisgreater{5}^{99}or{25}^{49}?$

Which of the following cannot be the greatest common divisor of two positive integers x and y

In order to promote off-season business, Hotel Victoria Jungfrau made the following "Frequent Special” offer to their winter guests: guests who rent a room for at least a week during the ski season can come back during the summer and get 25% off the standard summer price of any room they rent. After the summer passed, the owners of the lodge determined that the majority of their guests had taken advantage of the "Frequent Special” offer and paid the reduced rates. However, they were surprised to find they still managed to rent more rooms at full price than they did at the discount rate. Which of the following is true, most helps to explain discrepancy in the passage?

ABC is an isosceles triangle having right angle at B, and is made up of several isosceles triangles

Q18. How many rectangles of different dimensions are present in the figure?

The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches of the remaining 20 toddlers is

A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and A-M-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)

Which of the following equations will best fit for the given data?
$\begin{array}{ccccccc}x& 1& 2& 3& 4& 5& 6\\ y& 4& 8& 14& 22& 32& 44\end{array}$

Find the sum of the first 10 natural numbers.
(Use $S_{10}=1+2+3+\dots +10$ and proceed)

A triangle $ABC$ is drawn to circumscribe a circle of radius $3cm$ , such that the segments $BD$ and $DC$ are respectively of lengths $6cm$ and $9cm$ . If the area of $\Delta ABC$ is $54c{m}^2$ , find the lengths of sides $AB$ and $AC$ .

The next figure in the series 0, 2, 6, 12.... is

What is the respective ratio between the number of girls who visited Kolkata and number of boys who visited Mumbai?

A firm is considering changing its policy regarding daily working hours. Presently, the firm requires all employees to arrive at work at 9 a.m. The policy under consideration would permit each employee to decide when to arrive-from as early as 5 a.m. to as late as 12 noon.

The adoption of this policy would be most likely to decrease the productivity of employees if the their job functions required them to

In the given figure BC is parallel to DE, find the ratio of the area of $\Delta$ADE to area of $\Delta$ABC.