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GATE Civil Engineering · Probability & Stats (CE) · 2018-2026
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All concepts →Based on the relationship between each polygon and the number inside it, the value of 'X' is
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively? N U F (i) 2...
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about a...
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of $\frac{2\pi}{n}$ is identical to the original. Which one of the following objects exhi...
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts requir...
Rohit goes to a restaurant for lunch at about 1 PM . When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about...
An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consu...
Consider a five-digit number PQRST that has distinct digits P, Q, R, S and T, and satisfies the following conditions: $$ \begin{aligned} & P P > T \\ & R If integers 1 through 5 ar...
A business person buys potatoes of two different varieties $P$ and $Q$, mixes them in a certain ratio and sells them at ₹192 per kg. The cost of the variety P is $Rs\,800$ for 5 kg...
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of $\frac{2 \pi}{n}$, is identical to the original. Which one of the following objects ex...
Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
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 hours?
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,
Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
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 hours?
Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes....
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 percentage error in the student...
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many...
A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Furt...
A duck named Donald Duck says “All ducks always lie.” Based only on the information above, which one of the following statements can be logically inferred with certainty?
Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logically inferred with certainty?
Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: log a c, log c a, log b a, log a b Which one of the following inequalities is CORRECT?
The line ran _______ the page, right through the centre, and divided the page into two.
Kind : ________ :: Often : Seldom (By word meaning)
There are 4 red, 5 green, and 6 blue balls inside a box. If 𝑁 number of balls are picked simultaneously, what is the smallest value of 𝑁 that guarantees there will be at least tw...
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many...
If p : q = 1 : 2 q : r = 4 : 3 r : s = 4 : 5 and u is 50% more than s, what is the ratio p : u?
A survey of 450 students about their subjects of interest resulted in the following outcome. * 150 students are interested in Mathematics. * 200 students are interested in Physics....
If p : q = 1 : 2 q : r = 4 : 3 r : s = 4 : 5 and u is 50% more than s, what is the ratio p : u?
P invested Rs.5000 per month for 6 months of a year and Q invested Rs. x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the tot...
A survey of 450 students about their subjects of interest resulted in the following outcome. $$\bullet$$ 150 students are interested in Mathematics. $$\bullet$$ 200 students are in...
$$x:y:z = {1 \over 2}:{1 \over 3}:{1 \over 4}$$ What is the value of $${{x + z - y} \over y}$$ = ?
Both the numerator and the denominator of $${3 \over 4}$$ are increased by a positive $${15 \over 17}$$ integer, x, and those of _____ are decreased by the same integer. This opera...
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sal...
Given below are two statements and four conclusions drawn based on the statements. Statement 1 : Some soaps are clean. Statement 2 : All clean objects are wet. Conclusion I : Some...
Getting to the top is ___________ than staying on top.
A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?
Hema's age is 5 years more than twice Hari's age. Suresh's age is 13 years less than 10 times Hari's age. If Suresh is 3 times as old as Hema, how old is Hema?
Given that $${{\log \,P} \over {y - z}} = {{\log \,Q} \over {z - x}} = {{\log \,R} \over {x - y}} = 10$$ for $$x \ne y \ne z$$, what is the value of the product PQR?
Consider a sequence of numbers $${a_1},{a_2},{a_3},....,{a_n}$$ where $${a_n} = {1 \over n} - {1 \over {n + 2}}$$, for each integer n > 0. What is the sum of the first 50 terms?
Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A $$ \times $$ B $$ \times $$ C), (B $$ \times $$...
For non-negative integers, a, b, c, what would be the value of a + b + c if $$$\log \,a\, + \,\log \,b\, + \,\log \,c\, = \,0?$$$
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 rope connects the top of tower...
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 time to the nearest minute whe...
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 would be the total price (in R...