If a and b are positive integers and $\frac{ a - b }{6.25}=\frac{8}{2.5}$
- Ab $>$ a
- ✓b $<$ a
- Cb $=$ a
- Db $\geq$ a
Answer: B.
View full solution →Question types
Numbers and Quantification question types
115 questions across 5 question groups — pick any mix to generate a Applied Maths paper with step-by-step answer keys.
115
Questions
5
Question groups
5
Question types
01
MCQ
5 Q→022 Marks Questions
68 Q→033 Marks Question
26 Q→045 Marks Questions
8 Q→054 Marks Question
8 Q→Sample Questions
Numbers and Quantification questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If p > q and r < 0, then which of the following is true?
- ✓pr $<$ qr
- Bp $-$ r $<$ q $-$ r
- Cp $+$ r $<$ q $+$ r
- DNone of these
Answer: A.
View full solution →Which of the following is false about SJF?
S1: It causes minimum average waiting time
S2: It can cause starvation
S1: It causes minimum average waiting time
S2: It can cause starvation
- AOnly S1
- BOnly S2
- CBoth S1 and S2
- DNeither S1 nor S2
If 0 < x <1, which of the following is greatest?
- A$x$
- B$x^{2}$
- C$\frac{1}{x}$
- ✓$\frac{1}{x^{2}}$
Answer: D.
View full solution →If B > A, then which expression will have the highest value, given that A and B are positive integers:
- AA - B
- BA $\times$ B
- CA + B
- ✓can't say
Answer: D.
View full solution →Show that the numbers 16 and 4 , satisfy the numerical inequality $AM \geq GM$.
View full solution →Solve: $4 x-2<8$, when $x \in Z$
View full solution →Two players: Player A and Player B are playing a game by rolling a dice. They decided that the player who will get the higher total will be the winner. In total they rolled the dice three times and the observations were recorded as follows:
Answer the following questions on the basis of the information given above:
a) Who is winner of the game.
b) Represent the above information as numerical inequality.
Answer the following questions on the basis of the information given above:
a) Who is winner of the game.
b) Represent the above information as numerical inequality.
Mr. X and Mr. Y have net worth of 1.93 crores INR and -0.22 crores INR. Represent the above information in the form of inequality.
What is the relationship between arrival time, burst time, completion time and waiting time?
Insert the appropriate sign of inequality:
$
\sqrt{3}(\sqrt{50}-\sqrt{32})
$ __________ $3 \sqrt{54}+2 \sqrt{24}$
View full solution →$
\sqrt{3}(\sqrt{50}-\sqrt{32})
$ __________ $3 \sqrt{54}+2 \sqrt{24}$
Satyarth and Swarit are brothers, Satyarth owns a house which is worth a farmhouse which is worth ₹ 2.75 crores. But Satyarth has a debt of their properties then which of the following statement(s) holds true to mathematically: ₹ 3 crores and Swarit owns ₹ 55 lakhs, if they both sell represent the above data
a) Satyarth's net worth is more than Swarit's net worth.
b) Swarit's net worth is more than Satyarth's net worth.
c) 2.55 < 2.75
a) Satyarth's net worth is more than Swarit's net worth.
b) Swarit's net worth is more than Satyarth's net worth.
c) 2.55 < 2.75
Arun started a business investing ₹ 38000. After 5 months Bakul joined him with a capital of ₹ 55000. At the end of the year the total profit was ₹ 22000. What is the approximate Activate difference between the shares of Arun and Bakul?
Rahul got ₹ 5000 as his share out of the total profit of ₹ 9000. Ramesh had invested ₹ 3000 for 6 months, while Rahul invested for the whole year. Find the amount invested by Rahul.
A,B and C enter into a partnership. B contributes 1/3 of the capital, while A contributes as much as B and C together contribute. Find the ratio of their capitals.
Prove that the following inequality holds true:
$
\sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2}
$
View full solution →$
\sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2}
$
Solve the following inequality:
(i) $(-2 z-6)<10$
(ii) $2 a < a -4 \leq 3 a +8$
(iii) $\frac{(y-1)}{3}+4<\frac{(y-5)}{5}-2$
View full solution →(i) $(-2 z-6)<10$
(ii) $2 a < a -4 \leq 3 a +8$
(iii) $\frac{(y-1)}{3}+4<\frac{(y-5)}{5}-2$
Nikhil, Priyesh and Ritik took a house on rent for ₹ 13824. They remained together for 4 months and then Ritik left the house. After 5 more months, Priyesh also left the house. How much rent should each pay?
If n = 2p and p is an odd prime number less than 14, then:
i) Evaluate $\varphi(n), \tau(n), \sigma(n)$ and represent the results in tabular form.
ii) Verify the relation $n+\varphi(n)+\tau(n)=\sigma(n)$.
View full solution →i) Evaluate $\varphi(n), \tau(n), \sigma(n)$ and represent the results in tabular form.
ii) Verify the relation $n+\varphi(n)+\tau(n)=\sigma(n)$.
If p is a prime then $\varphi(p)+\tau(p)=\sigma(p)$, Using the information complete the following table:
View full solution →Consider the available processes given below in the ready queue for execution and with given burst time.
a) What is the time at which all the processes get executed?
b) Find the average waiting time and average turnaround time using the non- pre-emptive SJF
scheduling algorithm.
a) What is the time at which all the processes get executed?
b) Find the average waiting time and average turnaround time using the non- pre-emptive SJF
scheduling algorithm.
Consider the available processes given below in the ready queue for execution and with given burst time.
a) What is the time at which all the processes get executed?
b) Find the average turnaround time using the non- pre-emptive FCFS scheduling algorithm
a) What is the time at which all the processes get executed?
b) Find the average turnaround time using the non- pre-emptive FCFS scheduling algorithm
Consider the available processes given below in the ready queue for execution, with arrival time as 0 for
all and given burst time. Find the average waiting time using the SJF scheduling algorithm.
all and given burst time. Find the average waiting time using the SJF scheduling algorithm.
A tank is fitted with 3 taps $A, B$ and $C$. All the three taps, if opened together, can drain the full tank in $11 / 2$ minutes. Taps $B$ and $C$ together take 2 minutes to drain the tank while $A$ and $C$ together take $2 \frac{4}{13}$ minutes to drain it. How long will taps $A$ and $B$ together take to drain the tank?
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