Choose the word most similar in meaning to the given word: DECRE
They _________ for such an outcome; it indeed ____________ them by surprise.
Choose the word which gives an appropriate meaning of referendum (last line, para 5).
Rearrange the following sentences in the proper sequence to make a meaningful paragraph. (A) We even make sure to wash the car every so often. (B) It's pretty much a foregone conclusion that you'll brush your teeth tomorrow morning. (C) The same is true for showering, going to the bathroom, grooming your nails and facial hair. (D) You don't squander precious mental space evaluating whether or not brushing your teeth is worth the opportunity cost of let's say, another five minutes of sleep. (E) We clean our homes with a myriad of dust-sucking devices and chemical concoctions, or hire people to do so more thoroughly than we can.
There are two integers 34041 and 32506, when divided by a three-digit integer $n$, leave the same remainder. What is the value of $n$?
What is the remainder when $1!+2!+3!+\cdots+100!$ is divided by $7$?
If $(67^{67}+67)$ is divided by $68$, the remainder is:
Find the value of $1(1!)+2(2!)+3(3!)+\cdots+20(20!)$.
Find the remainder when \[6^{\underbrace{66\cdots6}_{100 \text{ times}}}\] is divided by 10.
Find the value of $\log_{20} 100 + \log_{20} 1000 + \log_{20} 10000 \quad \bigl[\textit{Assume that } \log 2 = 0.3\bigr].$
Find the remainder when the $41$-digit number $1234\ldots$ is divided by $8$.
In a survey of $500$ TV viewers: $285$ watch football (F), $195$ hockey (H), $115$ basketball (B); $45$ watch F&B, $70$ watch F&H, $50$ watch H&B, and $50$ watch none. How many watch exactly one of the three games?
Nine squares are chosen at random on a chessboard. What is the probability that they form a square of size $3\times 3$?
$A,B,C,D$ are four towns, any three of which are non-colinear. In how many ways can we construct three roads (each road joins a pair of towns) so that the roads do not form a triangle?
In the figure, $\triangle APB$ is formed by three tangents to a circle with centre $O$. If $\angle APB=40^\circ$, then the measure of $\angle BOA$ is
If $1+\sin^2(2A)=3\sin A\cos A$, then what are the possible values of $\tan A$?
If \[ 2\sin\alpha + 15\cos^{2}\alpha = 7, \quad 0^\circ < \alpha < 90^\circ, \] find \(\cot\alpha\).
In the given figure, $ABCD$ is a rectangle. $P$ and $Q$ are the midpoints of sides $CD$ and $BC$ respectively. Then the ratio of area of shaded portion to the area of unshaded portion is:
In the adjoining figure, points $A,B,C,D$ lie on a circle. $AD=24$ and $BC=12$. What is the ratio of the area of $\triangle CBE$ to that of $\triangle ADE$?
In $\triangle ABC$, $D$ is a point on $BC$ such that $3BD=BC$. If each side of the triangle is $12\,$cm, then $AD$ equals
World Earth Day which is annually observed worldwide wherein various events are held to demonstrate support for environmental protection is celebrated on ______________ .
Which mobile telecom company has launched the Asia-Africa-Europe (AAE-1) submarine cable system, the longest 100GBps technology-based submarine system?
Elephant has shown at Indian Museum on which day?
Which of the following animal is national animal of China?
Input: fight for all 39 62 25 today 19Which of the following steps will be step IV?
