Numerical Ability · General Aptitude · GATE CE

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Marks 1

GATE CE 2024 Set 2
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the p...
GATE CE 2024 Set 2
If the sum of the first 20 consecutive positive odd numbers is divided by $20^2$, the result is
GATE CE 2024 Set 2
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of studen...
GATE CE 2024 Set 1
In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from 301, wh...
GATE CE 2024 Set 1
For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1$, $\left(\frac{p}{q}\right)^\frac{p}{q}= p^{\left(\frac{p}{q}-1\right)}$. Then,
GATE CE 2024 Set 1
Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
GATE CE 2024 Set 1
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 h...
GATE CE 2018 Set 2
$$\underbrace {{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,{\rm{a}}\,{\rm{ + }}\,.......\,{\rm{ + }}\,{\rm{a}}}_{{\rm{n}}\,{\rm{times}}} = {a^2}b$$ an...
GATE CE 2018 Set 2
A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
GATE CE 2018 Set 2
For non-negative integers, a, b, c, what would be the value of a + b + c if $$$\log \,a\, + \,\log \,b\, + \,\log \,c\, = \,0?$$$
GATE CE 2018 Set 1
Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal skywalk connects the floors at 70 m in both the towers. If a taut r...
GATE CE 2018 Set 1
Hema's age is 5 years more than twice Hari's age. Suresh's age is 13 years less than 10 times Hari's age. If Suresh is 3 times as old as Hema, how old...
GATE CE 2018 Set 1
The temperature T in a room varies as a function of the outside temperature T0 and the number of persons in the room p, according to the relation $$T ...

Marks 2

GATE CE 2024 Set 2
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks ins...
GATE CE 2024 Set 2
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on th...
GATE CE 2024 Set 2
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view rem...
GATE CE 2024 Set 1
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defin...
GATE CE 2024 Set 1
The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation...
GATE CE 2024 Set 1
In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.Rule: The number...
GATE CE 2018 Set 2
In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a devi...
GATE CE 2018 Set 2
A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct ...
GATE CE 2018 Set 2
The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city...
GATE CE 2018 Set 2
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), (...
GATE CE 2018 Set 2
Given that $${{\log \,P} \over {y - z}} = {{\log \,Q} \over {z - x}} = {{\log \,R} \over {x - y}} = 10$$ for $$x \ne y \ne z$$, what is the value of t...
GATE CE 2018 Set 1
The price of a wire made of a superalloy material is proportional to the square of its length. The price of 10 m length of the wire is Rs. 1600. What ...
GATE CE 2018 Set 1
A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incur...
GATE CE 2018 Set 1
Which of the following function(s) is an accurate description of the graph for the range(s) indicated? $$\eqalign{ & (i)\,\,y = 2x + 4\,for\, -...
GATE CE 2018 Set 1
Consider a sequence of numbers $${a_1},{a_2},{a_3},....,{a_n}$$ where $${a_n} = {1 \over n} - {1 \over {n + 2}}$$, for each integer n > 0. What is ...
GATE CE 2018 Set 1
Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A $$ \times $$ B $$...
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