# Recent questions tagged numerical-computation

1
Find the smallest number $y$ such that $y\times 162$ ($y$ multiplied by $162$) is a perfect cube $24$ $27$ $36$ $38$
2
A student is answering a multiple choice examination with $65$ questions with a marking scheme as follows$:$ $i)$ $1$ marks for each correct answer $,ii)$ $-\frac{1}{4}$ for a wrong answer $,iii)$ $-\frac{1}{8}$ for a question that has not been attempted$.$ If the student gets $37$ marks in the test then the least possible number of questions the student has NOT answered is$:$ $6$ $5$ $7$ $4$
3
A tank has $100$ liters of water$.$ At the end of every hour, the following two operations are performed in sequence$:$ $i)$ water equal to $m\%$ of the current contents of the tank is added to the tank $, ii)$ water equal to $n\%$ of the current contents of the tank is removed ... exactly $100$ liters of water $.$ The relation between $m$ and $n$ is $:$ $m=n$ $m>n$ $m<n$ None of the previous
1 vote
4
A positive integer $m$ in base $10$ when represented in base $2$ has the representation $p$ and in base $3$ has the representation $q.$ We get $p-q=990$ where the subtraction is done in base $10.$ Which of the following is necessarily true$:$ $m\geq 14$ $9\leq m\leq 13$ $6\leq m\leq 8$ $m<6$
1 vote
5
Given two sets $X=\{1,2,3\}$ and $Y=\{2,3,4\},$ we construct a set $Z$ of all possible fractions where the numerators belong to set $X$ and the denominators belong to set $Y.$ The product of elements having minimum and maximum values in the set $Z$ is _____. $1/12$ $1/8$ $1/6$ $3/8$
6
The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$? $6$ $7$ $8$ $9.5$
1 vote
7
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
8
Let $A$ and $B$ be two containers. Container $A$ contains $50$ litres of liquid $X$ and container $B$ contains $100$ litres of liquid $Y$. Liquids $X$ and $Y$ are soluble in each other. We now take $30$ ml of liquid $X$ from container $A$ and put it into container $B$. The mixture in container $B$ is ... $V_{AY} > V_{BX}$ $V_{AY} = V_{BX}$ $V_{AY} + V_{BX}=30$ $V_{AY} + V_{BX}=20$
9
The last digit of $(2171)^{7}+(2172)^{9}+(2173)^{11}+(2174)^{13}$ is $2$ $4$ $6$ $8$
10
A house has a number which need to be identified. The following three statements are given that can help in identifying the house number? If the house number is a multiple of $3$, then it is a number from $50$ to $59$. If the house number is NOT a multiple of $4$, then it is a number ... is NOT a multiple of $6$, then it is a number from $70$ to $79$. What is the house number? $54$ $65$ $66$ $76$
1 vote
11
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number? 63 72 81 90
1 vote
12
Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)$ and $(G+H+K)$ is equal to $13$. Which integer does $E$ represent? $1$ $4$ $6$ $7$
1 vote
13
What is the sum of the missing digits in the subtraction problem below? $\begin{array}{cccccc} &5&\_&\_&\_&\_&\\ -&4&8&\_&8&9\\ \rlap{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}\\ &&1&1&1&1 \end{array}$ $8$ $10$ $11$ Cannot be determined.
14
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^3$ will have $90$ digits $91$ digits $92$ digits $93$ digits
15
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$
16
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
17
The numeral in the units position of $211^{870}+146^{127} \times 3^{424}$ is ________.
18
The sum of the digits of a two digit number is $12$. If the new number formed by reversing the digits is greater than the original number by $54$, find the original number. $39$ $57$ $66$ $93$
19
How many $0$’s are there at the end of $50!$?
20
For integer values of $n$, the expression $\frac{n(5n + 1)(10n + 1)}{6}$ Is always divisible by $5$. Is always divisible by $3$. Is always an integer. None of the above
21
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest even number?
22
Let $f(x, y) = x^{n}y^{m} = P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n - m)P$ $2(m - n)P$
23
A number is as much greater than $75$ as it is smaller than $117$. The number is: $91$ $93$ $89$ $96$
24
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
25
A value of $x$ that satisfies the equation $\log x + \log (x – 7) = \log (x + 11) + \log 2$ is $1$ $2$ $7$ $11$
26
Let $t_{n}$ be the sum of the first $n$ natural numbers, for $n > 0$. A number is called triangular if it is equal to $t_{n}$ for some $n$. Which of the following statements are true: (i) There exists three successive triangular numbers whose product is a perfect square. (ii) If the triangular ... $(i)$ only. $(ii)$ only. $(iii)$ only. All of the above. None of the above.
Let $|z| < 1$. Define $M_{n}(z)= \sum_{i=1}^{10} z^{10^{n}(i - 1)}?$ what is $\prod_{i=0}^{\infty} M_{i}(z)= M_{0}(z)\times M_{1}(z) \times M_{2}(z) \times ...?$ Can't be determined. $1/ (1 - z)$ $1/ (1 + z)$ $1 - z^{9}$ None of the above.
Consider numbers greater than one that satisfy the following properties: They have no repeated prime factors; For all primes $p \geq 2$, $p$ divides the number if and only if $p − 1$ divides the number. The number of such numbers is $0$. $5$. $100$. Infinite. None of the above.
Consider the reactions $X + 2Y \rightarrow 3Z$$2X + Z \rightarrow Y.$ Let $n_{X}$, $n_{Y}$, $n_{Z}$ denote the numbers of molecules of chemicals $X, Y, Z$ in the reaction chamber. Then which of the following is conserved by both reactions? $n_{X} + n_{Y} + n_{Z}$. $n_{X}+ 7n_{Y} + 5n_{Z}$. $2n_{X} + 9n_{Y} − 3n_{Z}$. $3n_{X} − 3n_{Y} + 13n_{Z}$. None of the above.