# Recent questions tagged numerical-answer

1
The four sentences (labelled $1, 2, 3, 4$) given below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequence of the order of the sentences and key in the sequence of the four numbers as your answer. ... generally theorised Clock-time has been consistently represented in feminist literature as a masculine artefact representative of a time is money' perspective
2
The smallest integer $n$ such that $n^{3} - 11n^{2} + 32n - 28 >0$ is
3
Gopal borrows Rs. $X$ from Ankit at $8$% annual interest. He then adds Rs. $Y$ of his own money and lends Rs. $X+Y$ to Ishan at $10$% annual interest. At the end of the year, after returning Ankit's dues, the net interest retained by Gopal is the same ... then the net interest retained by him would have increased by Rs. $150$. If all interests are compounded annually, then find the value of $X+Y$.
4
On a triangle $ABC$, a circle with diameter $BC$ is drawn, intersecting $AB$ and $AC$ at points $P$ and $Q$, respectively. If the lengths of $AB$, $AC$, and $CP$ are $30$ cm, $25$ cm, and $20$ cm respectively, then the length of $BQ$, in cm, is
5
Let $f\left (x \right )=max\left \{5x, 52 – 2x^{2}\right \}$ , where $x$ is any positive real numbers. Then the minimum possible value of $f(x)$ is
6
On a long stretch of east-west road, $A$ and $B$ are two points such that $B$ is $350$ km west of $A$. One car starts from $A$ and another from $B$ at the same time. If they move towards each other, then they meet after $1$ hour. If they both move towards east, then they meet in $7$ hrs. The difference between their speeds, in km per hour, is
1 vote
7
A water tank has inlets of two types $A$ and $B$. All inlets of type $A$ when open, bring in water at the same rate. All inlets of type $B$, when open, bring in water at the same rate. The empty tank is completely filled in $30$ minutes if $10$ ... open. In how many minutes will the empty tank get completely filled if $7$ inlets of type $A$ and $27$ inlets of type $B$ are open?
8
If $a$ and $b$ are integers such that $2x^{2}- ax + 2 > 0$ and $x^{2}-bx+8 \geq 0$ for all real numbers $x$, then the largest possible value of $2a-6b$ is
9
In a tournament, there are $43$ junior level and $51$ senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is $153$, while the number of boy versus boy matches in senior level is $276$. The number of matches a boy plays against a girl is
10
Let $t_{1}, t_{2},\dots$ be a real numbers such that $t_{1}+t_{2}+\dots+t_{n}=2n^{2}+9n+13$, for every positive integers $n\geq2$.If $t_{k}=103$ , then $k$ equals
11
If $N$ and $x$ are positive integers such that $N^{N}=2^{160}$ and $N^{2} + 2^{N}$ is an integral multiple of $2^{x}$, then the largest possible $x$ is
12
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the minimum possible value of $x$ is
13
Points $A$ and $B$ are $150$ km apart. Cars $1$ and $2$ travel from $A$ to $B$, but car $2$ starts from $A$ when car $1$ is already $20$ km away from $A$. Each car travels at a speed of $100$ kmph for the first $50$ km, at $50$ kmph for the next $50$ km, and at $25$ kmph for the last $50$ km. The distance, in km, between car $2$ and $B$ when car $1$ reaches $B$ is
14
An agency entrusted to accredit colleges looks at four parameters: faculty quality $(F)$, reputation $(R)$. placement quality $(P)$, and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation ... $A$-one. what is the highest overall score among the eight colleges?
15
An agency entrusted to accredit colleges looks at four parameters: faculty quality $(F)$, reputation $(R)$. placement quality $(P)$, and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to ... $Ed$ is better than Cosmopolitan; and Education Aid is better than $A$-one. How many colleges receive the accreditation of $AAA$?
16
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: $140$ tickets ... Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was
17
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: $140$ tickets ... was strickly greater that the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was
18
The base exchange rate of a currency $X$ with respect to a currency $Y$ is the number of units of currency $Y$ which is equivalent in value to one unit of currency $X$. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and ... , and $51000$ units of $C$. What was the base exchange rate of currency $B$ with respect to currency $L$ on that day?
19
The base exchange rate of a currency $X$ with respect to a currency $Y$ is the number of units of currency $Y$ which is equivalent in value to one unit of currency $X$. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell ... , $4800$ units of $B$, and $51000$ units of $C$. How many units of currency A did the outlet buy on the day?
20
Fun Sports $(FS)$ provides training in three sports-Gilli-danda $(G)$, Kho-Kho $(K)$, and Ludo $(L)$. Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: The number of ... the number of students enrolled in $K$ went down by one. After the withdrawal, how many students were enrolled in both $G$ and $K$?
21
Fun Sports $(FS)$ provides training in three sports-Gilli-danda $(G)$, Kho-Kho $(K)$, and Ludo $(L)$. Currently it has an enrollment of $39$ students each of whom is enrolled in at least one of the three sports. The following details are known: The number of students ... also enrolled in at least one more sport. What is the minimum number of students enrolled in both $G$ and $L$ but not in $K$?
22
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated by doubling her marks ... s composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI? ________
23
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated by doubling her marks in ... 's. If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? _____
24
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats ... administration committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?
25
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, ... administration committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?
26
Point $P$ lies between points $A$ and $B$ such that the length of $BP$ is thrice that of $AP$. Car $1$ starts from $A$ and moves towards $B$. Simultaneously, car $2$ starts from $B$ and moves towards $A$. Car $2$ reaches $P$ one hour after car $1$ reaches $P$. If the speed of car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $P$ from $A$ is _________.
27
A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in $6$ hours when $6$ filling and $5$ draining pipes are on, ... $6$ draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
28
While multiplying three real numbers, Ashok took one of the numbers as $73$ instead of $37$. As a result, the product went up by $720$. Then the minimum possible value of the sum of squares of the other two numbers is _________
29
Each of $74$ students in a class studies at least one of the three subjects $H, E$ and $P$. Ten students study all three subjects, while twenty study $H$ and $E$, but not $P$. Every student who studies $P$ also studies $H$ or $E$ or both. If the number of students studying $H$ equals that studying $E$, then the number of students studying $H$ is _________
30
Train $T$ leaves station $X$ for station $Y$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $T$, leaves $Y$ for $X$ at $4$ pm. The two trains pass each other at a station $Z$, where the distance between $X$ and $Z$ is three-fifths of that between $X$ and $Y$. How many hours does train $T$ take for its journey from $X$ to $Y$?
31
A right circular cone, of height $12$ ft, stands on its base which has diameter $8$ ft. The tip of the cone is cut off with a plane which is parallel to the base and $9$ ft from the base. With $\pi = 22/7$, the volume, in cubic ft, of the remaining part of the cone is ________
32
A CAT aspirant appears for a certain number of tests. His average score increases by $1$ if the first $10$ tests are not considered, and decreases by $1$ if the last $10$ tests are not considered. If his average scores for the first $10$ and the last $10$ tests are $20$ and $30$, respectively, then the total number of tests taken by him is ________
33
If $f(x+2)=f(x)+f(x+1)$ for all positive integers $x$, and $f(11)=91,f(15)=617$, then $f(10)$ equals ________
34
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______
35
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
36
Let $f(x) = \text{min }\{2x^2, 52−5x\}$, where $x$ is any positive real number. Then the maximum possible value of $f(x)$ is ________
37
John borrowed Rs.$2,10,000$ from a bank at an interest rate of $10\%$ per annum, compounded annually. The loan was repaid in two equal installments, the first after one year and the second after another year. The first installment was interest of one ... principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each installment, in Rs., is ________
Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in. Translators are like bumblebees. ... continue to translate. In $1934$, the French entomologist August Magnan pronounced the flight of the bumblebee to be aerodynamically impossible.
The four sentences (labelled $1,2,3,4$) given in this question, when properly sequenced, from a coherent paragraph. Decide on the proper sequence of order of the sentences and key in this sequence of four numbers as your answer. Impartiality and ... algorithm itself, making it hard for citizens to analyze the system sensibly or fairly or be convinced of its impartiality and objectivity.
The four sentences (labeled $1,2,3$ and $4$) given in this question, when properly sequenced, from a coherent paragraph. Decide on the proper order for the sentences and key in this sequence of four numbers as your answer. The woodland's canopy receives most ... their staple diet. Hundreds of thousands of insects fly in the sunshine up above the canopy, some falling prey to swifts and swallows.