Quantitative Aptitude

Subtopic: Arithmetic & Numerical Estimation

In the sequence of tiles shown below, the missing tile indicated by the question mark should be

Subtopic: Arithmetic & Numerical Estimation

A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?

Subtopic: Arithmetic & Numerical Estimation

How many 3-digit numbers can be formed using three distinct single digit prime numbers?

Subtopic: Arithmetic & Numerical Estimation

In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____

Subtopic: Arithmetic & Numerical Estimation

Four hills H1, H^2, H^3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill. ii. Neither H2 nor H3 is the westernmost hill. iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill. iv. Two hills are located to the west of H^2. v. The southernmost hill has at least two hills to its east. The southernmost hill is ________.

Subtopic: Arithmetic & Numerical Estimation

As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T. Given r1 = 1 cm and VY̅̅̅̅ = VW̅̅̅̅̅ = 4 cm, r^2 = _____ cm.

Subtopic: Arithmetic & Numerical Estimation

A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U ≤ 4 is:

Subtopic: Arithmetic & Numerical Estimation

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. W hich one among the given options is the most appropriate combination of P, Q, and R ?

Subtopic: Arithmetic & Numerical Estimation

A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?

Subtopic: Arithmetic & Numerical Estimation

Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let a1 and a^2 (in years) denote the ages of the brothers and a1 < a^2. Which one of the following statements is correct about their age on the day when they attain the same weight?

Subtopic: Arithmetic & Numerical Estimation

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are: Note: The figure shown is representative.

Subtopic: Arithmetic & Numerical Estimation

If a real variable $x$ satisfies $3^{x^2} = 27 \times 9^x$, then the value of $\frac{2^{x^2}}{(2^x)^2}$ is:

Subtopic: Arithmetic & Numerical Estimation

The number of patients per shift ( X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(X - 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts? Note: The figure shown is representative.

Subtopic: Arithmetic & Numerical Estimation

If two distinct non-zero real variables x and y are such that (x + y) is proportional to (x - y) then the value of x y

Subtopic: Arithmetic & Numerical Estimation

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

Subtopic: Arithmetic & Numerical Estimation

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

Subtopic: Arithmetic & Numerical Estimation

For positive non-zero real variables p and q, if log (p^2 + q^2) = log p + log q + 2 log 3 , then, the value of p4+q4 p2q2 is

Subtopic: Arithmetic & Numerical Estimation

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head s (iv) his shoulders.

Subtopic: Data Interpretation

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9 The total fat (all three types), in grams, this person consumes is

Subtopic: Arithmetic & Numerical Estimation

The least number of squares to be added in the figure to make AB a line of symmetry is

Subtopic: Arithmetic & Numerical Estimation

"You are delaying the completion of the task. Send _______ contributions at the earliest."

Subtopic: Arithmetic & Numerical Estimation

In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)

Subtopic: Arithmetic & Numerical Estimation

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics. When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college. Based only on the above information, which one of the following statements can be logically inferred with certainty?

Subtopic: Arithmetic & Numerical Estimation

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement " Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty? (i) All human beings are cruel creatures. (ii) Some human beings are cruel creatures. (iii) Some creatures that are cruel are human beings. (iv) No human beings are cruel creatures.

Subtopic: Arithmetic & Numerical Estimation

Consider the following inequalities: 1. $p^2 - 4q < 4$ 2. $3p + 2q < 6$ where $p$ and $q$ are positive integers. The value of $(p + q)$ is:

Subtopic: Arithmetic & Numerical Estimation

The coefficient of x4 in the polynomial (x - 1)3(x - 2)3 is equal to _______.

Subtopic: Arithmetic & Numerical Estimation

Writing too many things on the ________ while teaching could make the students get _________.

Subtopic: Arithmetic & Numerical Estimation

Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \le -\frac{6x - 5}{3}$ on the real number line?

Subtopic: Arithmetic & Numerical Estimation

If $f(x) = 2 \ln\left(\sqrt{e^x}\right)$, what is the area bounded by $f(x)$ for the interval $[0, 2]$ on the $x$-axis?

Subtopic: Arithmetic & Numerical Estimation

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

Subtopic: Arithmetic & Numerical Estimation

Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).

Subtopic: Arithmetic & Numerical Estimation

For the past m days, the average daily production at a company was 100 units per day. If today's production of 180 units changes the average to 110 units per day, what is the value of m?

Subtopic: Arithmetic & Numerical Estimation

Consider the following functions for non-zero positive integers, $p$ and $q$: $f(p, q) = p \times p \times \cdots \times p \quad (q \text{ terms}) = p^q; \quad f(p, 1) = p$ $g(p, q) = p^{p^{p^{\cdot^{\cdot^{\cdot}}}}} \quad (\text{up to } q \text{ terms}); \quad g(p, 1) = p$ Which one of the following options is correct based on the above?

Subtopic: Arithmetic & Numerical Estimation

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train. If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

Subtopic: Arithmetic & Numerical Estimation

$\odot$ and $\bullet$ are two operators on numbers $p$ and $q$ such that $p \odot q = p - q$, and $p \bullet q = p \times q$. Then, $(9 \odot (6 \bullet 7)) \odot (7 \bullet (6 \odot 5)) =$

Subtopic: Arithmetic & Numerical Estimation

1. Some football players play cricket. 2. All cricket players play hockey. Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

Subtopic: Arithmetic & Numerical Estimation

In a square PQRS of side length $a$, the shaded portion is formed by the intersection of two circular sectors of radius $a$ with centers at diagonally opposite vertices S and Q. The probability that any point picked randomly within the square falls in the shaded area is:

Subtopic: Arithmetic & Numerical Estimation

In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer. The minimum area of the triangle PQR possible, in $\text{cm}^2$, is:

Subtopic: Arithmetic & Numerical Estimation

The untimely loss of life is a cause of serious global concern as thousands of people get killed _____ accidents every year while many others die _____ diseases like cardio vascular disease, cancer, etc.

Subtopic: Arithmetic & Numerical Estimation

He was not only accused of theft _____ of conspiracy.

Subtopic: Arithmetic & Numerical Estimation

The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting 15 seconds, as opposed to informal 5 second messages in French. The French-speaking couple were upset at:

Subtopic: Arithmetic & Numerical Estimation

A superadditive function $f(\cdot)$ satisfies the property $f(x_1 + x_2) \ge f(x_1) + f(x_2)$. Which of the following functions is a superadditive function for $x > 1$?

Subtopic: Arithmetic & Numerical Estimation

It is quarter past three in your watch. The angle between the hour hand and the minute hand is:

Subtopic: Arithmetic & Numerical Estimation

A circle with centre O has a rectangle PQRS of maximum possible area inscribed within it. If the radius of the circle is $a$, then the area of the shaded portion (circle area minus rectangle area) is:

Subtopic: Arithmetic & Numerical Estimation

$a, b, c$ are real numbers. The quadratic equation $a x^2 - b x + c = 0$ has equal roots, which is $\beta$. Then:

Subtopic: Arithmetic & Numerical Estimation

The data of students enrolled in 5 years (2014 to 2018) for two schools P and Q shows average enrollment for school P as 6.9 thousand and average difference between schools P and Q as 2.4 thousand. During this period, the ratio of the average number of students enrolled in school P to the average of the difference of the number of students enrolled in schools P and Q is:

Subtopic: Arithmetic & Numerical Estimation

The fishermen, government. the flood victims owed their lives, were rewarded by the

Subtopic: Arithmetic & Numerical Estimation

Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? 1. Some who were involved in the strike were students. 2. No student was involved in the strike. 3. At least one student was involved in the strike. 4. Some who were not involved in the strike were students.

Subtopic: Arithmetic & Numerical Estimation

The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is

Subtopic: Arithmetic & Numerical Estimation

Until Iran came along, India had never been in kabaddi.

Subtopic: Arithmetic & Numerical Estimation

interest rates (C) The government sometimes takes into consideration the demands of banking institutions before reducing the interest rates on small saving schemes (D) A reduction in interest rates on small saving schemes follow only after a reduction in repo rate by the Reserve Bank of India Q.7 In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?

Subtopic: Data Interpretation

The nomenclature of Hindustani music has changed over the centuries. Since the medieval period dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education the term gharana became acceptable. Gharana originally referred to hereditary musicians from a particular lineage, including disciples and grand disciples. Which one of the following pairings is NOT correct?

Subtopic: Arithmetic & Numerical Estimation

Two trains started at 7AM from the same point. The first train travelled north at a speed of 80km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is AM.

Subtopic: Data Interpretation

GATE 2019 General Aptitude (GA) Set-8 Q.10 "I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community." Based on the paragraph above, the prestige of a head-hunter depended upon

Subtopic: Arithmetic & Numerical Estimation

Find the missing group of letters in the following series: BC, FGH, LMNO, _____

Subtopic: Arithmetic & Numerical Estimation

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

Subtopic: Arithmetic & Numerical Estimation

The value of the expression $\frac{1}{1+\log_u(vw)} + \frac{1}{1+\log_v(wu)} + \frac{1}{1+\log_w(uv)}$ is _________.

Subtopic: Arithmetic & Numerical Estimation

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

Subtopic: Arithmetic & Numerical Estimation

A wire wo uld enclose an area of 1936 m^2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?

Subtopic: Arithmetic & Numerical Estimation

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five -seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

Subtopic: Arithmetic & Numerical Estimation

A house has a number which needs to be identified . The following three statements are given that can help in identifying the house number. i. If the house number is a multiple of 3, then it is a number from 50 to 59. ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. What is the house number?

Subtopic: Arithmetic & Numerical Estimation

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Subtopic: Arithmetic & Numerical Estimation

Given the vectors 01 = 1 + 31; 22 = 21 - 4] + 3k, the vector Uz that is perpendicular to both vi and Vz is given by:

Subtopic: Arithmetic & Numerical Estimation

The eigenvalues An and eigenfunctions Un (x) of the Sturm-Liouville problem d'y dx? - + k7 2y = 0, 0 < x < 1; y(0) = 0, y(1) = 0 are given by:

Subtopic: Arithmetic & Numerical Estimation

The 3-point Gaussian integration formula is given by: $\int_{-1}^{1} f(x)\,dx \approx \sum_{i=1}^3 A_i f(x_i)$ with $x_1 = 0, x_2 = -x_3 = -\sqrt{3/5}$, and $A_1 = \frac{8}{9}, A_2 = A_3 = \frac{5}{9}$. This formula exactly integrates:

Subtopic: Arithmetic & Numerical Estimation

Which one of the following statements is NOT true

Subtopic: Arithmetic & Numerical Estimation

Which one of the following statements is NOT true

Subtopic: Arithmetic & Numerical Estimation

Correct: 1 Wrong : -0.33 Consider a steady one dimensional flow of a perfect gas with heat transfer in a duct. The T-s diagram (shown below) shows both the static and the stagnation conditions at two locations. A and B, in the duct. At and By denote stagnation conditions for states A and B, respectively. It is known that (AT)a = (AT)B. Ma and Me are the Mach numbers of the flow at locations A and B. T B Which of the following statements is true about the flow.

Subtopic: Arithmetic & Numerical Estimation

To ensure only the longitudinal static stability (and not the condition for equilibrium) of a low speed aircraft, the aircraft components must be designed to satisfy which one of the following conditions:

Subtopic: Arithmetic & Numerical Estimation

Which of the following statements) is / are true about the shear centre of a cross-section: P: It is that point in the cross-section through which shear loads produce no twisting. Q: This point is also the centre of twist of sections subjected to pure torsion. R: The normal stress at this point is always zero.

Subtopic: Arithmetic & Numerical Estimation

Let Nm and No be respectively the non-dimensional locations of the stick-fixed maneuver point and stick-fixed neutral point of a low speed conventional aircraft. These distances are measured with respect to the nose of the fuselage. The numerical value of Na-No

Subtopic: Arithmetic & Numerical Estimation

The ninth and the tenth of this month are Monday and Tuesday _________.

Subtopic: Arithmetic & Numerical Estimation

It is _________ to read this year's textbook than to read last year's textbook.

Subtopic: Arithmetic & Numerical Estimation

A rule states that in order to drink beer, one must be over 18 years old. In a bar, four people are observed: P: drinking beer Q: drinking coke R: 16 years old S: 25 years old Which person(s) must be checked to confirm that the rule is not being violated?

Subtopic: Arithmetic & Numerical Estimation

Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. The direct distance (in km) from point P to point Q is _________.

Subtopic: Arithmetic & Numerical Estimation

500 students are taking one or more courses out of Chemistry, Physics, and Biology. 200 students are taking Chemistry, 220 are taking Physics, and 180 are taking Biology. 80 are taking Chemistry and Physics, 60 are taking Physics and Biology, and 50 are taking Chemistry and Biology. If 20 students are taking all three courses, how many students are taking exactly one course?

Subtopic: Arithmetic & Numerical Estimation

Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married. P and Q are married. R is the daughter of X. S is the sister of P. Which one of the following MUST be true?

Subtopic: Arithmetic & Numerical Estimation

1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women can build the same bridge in 3 weeks. How many men must be employed to build the bridge in 2 weeks with NO women working?

Subtopic: Arithmetic & Numerical Estimation

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is:

Subtopic: Arithmetic & Numerical Estimation

A contour line joins locations having the same height above the mean sea level. Two contour lines representing heights of 500 m and 550 m are separated by a horizontal distance of 2 km. The average slope (gradient) of the terrain between these two contours is:

Subtopic: Arithmetic & Numerical Estimation

With increase in airfoil thickness, the critical Mach number for an airfoil is likely to

Subtopic: Arithmetic & Numerical Estimation

Due to a body in potential flow, the velocity at a point A in the flow field is 20 m/s while the free stream velocity is only 10 m/s. The value of coefficient of pressure (C p) at the point A is _________.

Subtopic: Arithmetic & Numerical Estimation

Which of the following airfoil will have location of the maximum camber at half chord length from the leading edge?

Subtopic: Arithmetic & Numerical Estimation

For a laminar incompressible flow past a flat plate at zero angle of attack, the variation of skin friction drag coefficient  fC with Reynolds number based on the chord length  cRe can be expressed as

Subtopic: Arithmetic & Numerical Estimation

Which of the following statement is NOT TRUE across an oblique shock wave?

Subtopic: Arithmetic & Numerical Estimation

For a completely subsonic isentropic flow through a convergent nozzle, which of the following statement is TRUE?

Subtopic: Arithmetic & Numerical Estimation

Which of the following aircraft engines has the highest propulsive efficiency at a cruising Mach number of less than 0.5?

Subtopic: Arithmetic & Numerical Estimation

Air, with a Prandtl number of 0.7, flows over a flat plate at a high Reynolds number. Which of the following statement is TRUE?

Subtopic: Arithmetic & Numerical Estimation

If A and B are both non-singular n n matrices, then which of the following statement is NOT TRUE. Note: det represents the determinant of a matrix.

Subtopic: Arithmetic & Numerical Estimation

Tanya is older than Eric. Chff is older than Tanya. Eric is older than Cliff. If the first two statements are true, then the third statement is:

Subtopic: Arithmetic & Numerical Estimation

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?

Subtopic: Arithmetic & Numerical Estimation

true, decide which one logically follows. Statements: I. No manager is a leader. Il. All leaders are executives. Conclusions: I. No manager is an executive. Il. No executive is a manager.

Subtopic: Arithmetic & Numerical Estimation

Right triangle PQR is to be constructed in the xy - plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P, Q. and R are to be integers that satisfy the inequalities: -45 x≤ 5 and 6 ≤ y≤ 16. How many different triangles could be constructed with these properties?

Subtopic: Arithmetic & Numerical Estimation

A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let I be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

Subtopic: Arithmetic & Numerical Estimation

The system of equations for the variables x and y a x+by=e cx+d y= f has a unique solution only if

Subtopic: Arithmetic & Numerical Estimation

A linear mass-spring-dashpot system is over-damped. In free vibration, this system undergoes

Subtopic: Arithmetic & Numerical Estimation

For a real symmetric matrix [A], which of the following statements is true:

Subtopic: Arithmetic & Numerical Estimation

The series ( )∑ ∞ = -= 1 23 2 m m m xms converges for all x with R x≤ -2 given by

Subtopic: Arithmetic & Numerical Estimation

The function given by { 0),/ 1 sin( 0, 0 ≠ == x x xf(x) is

Subtopic: Arithmetic & Numerical Estimation

Given the boundary-value problem 1 0 , 0< < = +     xkydx dyxdx d , with 0 ) 1 ( ) 0 (= =y y . Then the solutions of the boundary-value problem for 1=k (given by 1y ) and 5=k (given by 5y ) satisfy:

Subtopic: Arithmetic & Numerical Estimation

The value of ∫= 1 0 41000 dx x I, obtained by using Simpson's rule with 2 equally spaced intervals is,

Subtopic: Arithmetic & Numerical Estimation

For a NACA 5-digit airfoil of chord c, the designed lift coefficient and location of maximum camber along the chord from the leading edge are denoted by CL and Xm respectively. For NACA12018 airfoil, which combination of CL and Xm given below are correct?

Subtopic: Arithmetic & Numerical Estimation

For inviscid, supersonic flow over a diamond shaped airfoil, shown in the figure, which statement is correct among the following?

Subtopic: Arithmetic & Numerical Estimation

Consider supersonic flow near a corner (at an angle $\theta$from the horizontal) with an attached oblique shock (at an angle $\beta$ with horizontal) as shown in figure. If Mach number M decreases gradually from a high supersonic value, which of the following statements is correct?

Subtopic: Data Interpretation

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value) (i) On average, it rains more in July than in December (ii) Every year, the amount of rainfall in August is more than that in January (iii) July rainfall can be estimated with better confidence than February rainfall (iv) In August, there is at least 500 mm of rainfall

Subtopic: Arithmetic & Numerical Estimation

The value of 5 2 4 2 42 1 x dxxx   is

Subtopic: Arithmetic & Numerical Estimation

At 0x , the function y x is

Subtopic: Arithmetic & Numerical Estimation

One of the eigenvectors of the matrix 11 0 01 1 10 1 A   is 1 1 1 v    . The corresponding eigenvalue is ____________

Subtopic: Data Interpretation

Which one of the following is the most stable configuration of an airplane in roll?

Subtopic: Arithmetic & Numerical Estimation

Which one of the following flight instruments is used on an aircraft to determine its attitude in flight?

Subtopic: Arithmetic & Numerical Estimation

A supersonic airplane is expected to fly at both subsonic and supersonic speeds during its whole flight course. Which one of the following statements is TRUE?

Subtopic: Arithmetic & Numerical Estimation

Which one of the following is favorable for an airplane operation?

Subtopic: Arithmetic & Numerical Estimation

Which one of the following is TRUE with respect to Phugoid mode of an aircraft?

Subtopic: Arithmetic & Numerical Estimation

The x and y velocity components of a two dimensional flow field are, 2222 , yx cxvyx cyu  , where c is a constant. The streamlines are a family of

Subtopic: Arithmetic & Numerical Estimation

The constraint A^2 = A on any square matrix A is satisfied for

Subtopic: Arithmetic & Numerical Estimation

The general solution of the differential equation 2 2 20dy d y ydt dt+ -= is

Subtopic: Arithmetic & Numerical Estimation

An aircraft in trimmed condition has zero pitching moment at

Subtopic: Arithmetic & Numerical Estimation

In an aircraft, constant roll rate can be produced using ailerons by applying

Subtopic: Arithmetic & Numerical Estimation

For a symmetric airfoil, the lift coefficient for zero degree angle of attack is

Subtopic: Arithmetic & Numerical Estimation

The critical Mach number of an airfoil is attained when

Subtopic: Data Interpretation

The shadowgraph flow visualization technique depends on

Subtopic: Arithmetic & Numerical Estimation

The Hohmann ellipse used as earth-Mars transfer orbit has

Subtopic: Arithmetic & Numerical Estimation

The governing equation for the static transverse deflection of a beam under an uniformly distributed load, according to Euler-Bernoulli (engineering) beam theory, is a

Subtopic: Arithmetic & Numerical Estimation

The Poisson's ratio,$\nu$ of most aircraft grade metallic alloys has values in the range:

Subtopic: Arithmetic & Numerical Estimation

Consider x,y,z to be right-handed Cartesian coordinates. A vector function is defined as v = 3x i + 3xy j - yz^2 k. The curl of v is given by:

Subtopic: Arithmetic & Numerical Estimation

Which of the following functions is periodic?

Subtopic: Arithmetic & Numerical Estimation

The function f(x1, x^2, x^3) = x1^2 + x^2^2 + x^3^2 - 2x1 - 4x2 - 6x3 + 14 has its minimum value at:

Subtopic: Arithmetic & Numerical Estimation

Two simultaneous equations given by y = 1/2 + x and y = x - 1/2 have:

Subtopic: Arithmetic & Numerical Estimation

In three-dimensional linear elastic solids, the number of non-trivial stress-strain relations, strain-displacement equations and equations of equilibrium are, respectively:

Subtopic: Arithmetic & Numerical Estimation

An Euler-Bernoulli beam in bending is assumed to satisfy:

Subtopic: Data Interpretation

A statically indeterminate frame structure has:

Subtopic: Arithmetic & Numerical Estimation

The natural frequency of a spring-mass system of stiffness k and mass m is 10 rad/s. Another single degree of freedom system has spring stiffness 2k and mass 2m. Its natural frequency is:

Subtopic: Arithmetic & Numerical Estimation

Consider a single degree of freedom spring-mass system of spring stiffness k1 and mass m which has a natural frequency of 10 rad/s. If another spring of stiffness k2 is connected in parallel, the frequency:

Subtopic: Arithmetic & Numerical Estimation

0) P. - Poss Tos + T, 02-1a P, - Pos 0.2 Two posion vectors are indiares by - fand v, (i If a +b'=1, then the operation 3= a -6) i, amouns to oblining the position vector Ve from V, by

Subtopic: Arithmetic & Numerical Estimation

An aircraft is climbing al a constant speed in a straight line at a steep angle of climb. The load factor it sustains during the climb is:

Subtopic: Arithmetic & Numerical Estimation

An aircraft is climbing at a constant speed in a straight line at a steep angle of climb. The load factor it sustains during the climb is:

Subtopic: Arithmetic & Numerical Estimation

All other factors remaining constant, if the weight of an aircraft increases by 30% then the takeoff distance increases by approximately:

Subtopic: Arithmetic & Numerical Estimation

Neglecting the effect of gravity, the rod has

Subtopic: Arithmetic & Numerical Estimation

The slones sped al wich is.

Subtopic: Arithmetic & Numerical Estimation

The eigen-values of a real symmetric matrix are always

Subtopic: Arithmetic & Numerical Estimation

The definite integral fax

Subtopic: Arithmetic & Numerical Estimation

The absolute ceiling of an aircraft is the altitude above which it:

Subtopic: Arithmetic & Numerical Estimation

For two-dimensional irrotational and incompressible flows

Subtopic: Arithmetic & Numerical Estimation

A trailing edge plain flap deflected downward increases the lift coefficient of an airfoil by

Subtopic: Arithmetic & Numerical Estimation

The ordinary differential equation ds? + ky = 0 where k is real and positive

Subtopic: Arithmetic & Numerical Estimation

A non-trivial solution to the (nXn) system of equations [A]{x} = {0}, where {0} is the null vector

Subtopic: Arithmetic & Numerical Estimation

The propulsive efficiency of a turbo-jet engine moving at velocity Uo and having exhaust velocity Ue with respect to the engine is given by

Subtopic: Arithmetic & Numerical Estimation

An aircraft is flying at M = 2 where the ambient temperature around the aircraft is 250 K. If the specific heat ratio for air y = 1.4, the stagnation temperature on the surface of the aircraft is

Subtopic: Arithmetic & Numerical Estimation

The division of feed air to an aircraft gas-turbine combustor into primary and secondary streams serves which of the following purposes ? P. a flammable mixture can be formed Q. cooling of combustor liner and flame tube can be accomplished R. specific fuel consumption can be reduced

Subtopic: Arithmetic & Numerical Estimation

The propulsive efficiency of a turbo-jet engine moving at velocity U_inf and having exhaust velocity U_e with respect to the engine is given by:

Subtopic: Arithmetic & Numerical Estimation

An unswept fixed-winged aircraft has a large roll stability if the wing is placed

Subtopic: Arithmetic & Numerical Estimation

Thrust available from a turbojet engine

Subtopic: Arithmetic & Numerical Estimation

The function defined by f(x) = sin x, x<0 = 0, x = 0 = 3х , x > 0

Subtopic: Arithmetic & Numerical Estimation

The product of the eigenvalues of the matrix [1 0 0 2 1 [1 1 -3| is

Subtopic: Arithmetic & Numerical Estimation

LINEAR ordinary differential equation?

Subtopic: Arithmetic & Numerical Estimation

To transfer a satellite from an elliptical orbit to a circular orbit having radius equal to the apogee distance of the elliptical orbit, the speed of the satellite should be

Subtopic: Arithmetic & Numerical Estimation

The service ceiling of a transport aircraft is defined as the altitude

Subtopic: Arithmetic & Numerical Estimation

The drag of an aircraft in steady climbing flight at a given forward speed is

Subtopic: Arithmetic & Numerical Estimation

In steady, level turning flight of an aircraft at a load factor 'n', the ratio of the horizontal component of lift and aircraft weight is

Subtopic: Arithmetic & Numerical Estimation

NACA 24012 airfoil is

Subtopic: Arithmetic & Numerical Estimation

An irrotational and inviscid flow can become rotational on passing through a

Subtopic: Arithmetic & Numerical Estimation

The degree of reaction of an impulse turbine is

Subtopic: Arithmetic & Numerical Estimation

Which one of the following engines should be used by a subsonic passenger transport airplane for minimum specific fuel consumption?

Subtopic: Arithmetic & Numerical Estimation

The damping of the system is given by

Subtopic: Arithmetic & Numerical Estimation

An artificial satellite remains in orbit and does not fall to the earth because

Subtopic: Arithmetic & Numerical Estimation

The number of natural frequencies of an elastic beam with cantilever boundary conditions is

Subtopic: Arithmetic & Numerical Estimation

For maximum range of a glider, which of the following flight conditions is true?

Subtopic: Arithmetic & Numerical Estimation

The longitudinal static stability of the airplane with low wing configuration will be

Subtopic: Arithmetic & Numerical Estimation

For a fixed center of gravity location of an airplane, when the propeller is mounted on the nose of the fuselage

Subtopic: Arithmetic & Numerical Estimation

A level and steady flight at a higher speed could be achieved by changing

Subtopic: Arithmetic & Numerical Estimation

For an elastic anisotropic solid, the number of independent elastic constants in its constitutive equations is

Subtopic: Arithmetic & Numerical Estimation

Total pressure at a point is defined as the pressure when the flow is brought to rest