# Recent questions and answers in Quantitative Aptitude

1
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched. INFER Dictionary ... C-H, D-F A-F, B-H, C-E, D-G A-H, B-G, C-E, D-F A-E, B-F, C-G, D-H
2
A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
3
What was the largest number of students in any year that went on to further study? 561 576 585 592 Can't Say What was the decrease in the number of graduates in employment between 2002 and 2004? 125 135 140 180 Can't Say In 2004 how many social science students were in employment after graduating? 260 272 284 290 Can't Say
4
Choose the word or set of words for each blank that best fits the meaning of sentence as whole. The actual ___________ of Wilson's position was always ___________ by his refusal to compromise after having initially agreed to negotiate a settlement. Outcome, foreshadowed Logic, enhanced Rigidity, betrayed Uncertainty, alleviated Cowardice, highlighted.
5
In the given figure, $∠BAC = 120º$ and $AD$ is the bisector of $∠BAC$. If $\frac{(AD)(AB)}{BD} = \frac{AE}{EC}( AE + EC )$ and $∠EDC = ∠ECD$, what is the ratio of $∠B$ and $∠C$? 1 : 1 1 : 2 2 : 3 5 : 6
6
In a section of a timber mill, cylindrical logs of wood, all of uniform dimensions, arrive as the input and are cut into smaller cylindrical pieces of the same radius using manual and mechanical saws. To operate a manual saw four workers are needed and to operate a ... logs into four equal pieces each, if they have two mechanized saws and two manual saws? 40 hours 80 hours 120 hours 60 hours
7
There are 150 students in a class. The number of students who play Cricket, Hockey, and Basketball are 125, 130, 135 respectively. If 5 students do not play any of the three games, the number of students playing all the three games must be at least 90 95 100 105
1 vote
8
Rohan and Sohan start simultaneously from a point A on a circular track and run in the same direction. The speed of Rohan is nine times the speed of Sohan. How many times are they diametrically opposite to each other by the time Sohan completes three complete rounds on the track? 27 23 48 24
9
If x1/5 > x1/3 , then how many of the following statements are definitely true about x? x2 > x3 x1/3 > x4 1 > x1/3 > x-3 x-1/3 > x3 1 2 3 4
10
If f (x) = minimum of (3x + 5, 10 - 2x), what is the maximum possible value of f (x)? 1 3 6 8
1 vote
11
Let M be the set of all even numbers from 1 to 25 and all the odd numbers between 26 and 200. If all the elements of M are multiplied, find the number of zeroes at the end of this product. 22 18 23 21
12
A rectangle of the largest possible area is cut out from a semi-circle of perimeter 72 cm. What is the area of the rectangle cut out? ( Take n = 22 / 7 ) 196 cm 2 156.8 cm 2 210 cm 2 528 cm 2
1 vote
13
In a class of 51 students, the difference between the highest mark and the least mark is 70. If the average score is calculated without considering the student who got the highest mark, then the average score decreases by 1%. If the average score is calculated without ... least mark, then the average score increases by 1.33%. What is the original average score of the class? 60 70 80 40
14
What is the least number of cuts required to cut a cube into 84 identical pieces, assuming all cuts are made parallel to the faces of the cube? 11 12 13 10
1 vote
15
Ganesh and Sarath were given a quadratic equation in x to solve. Ganesh made a mistake in copying the constant term of the equation and got a root as 12. Sarath made a mistake in copying the coefficient of x as well as the constant term and got a root ... they committed were only in copying the signs. The difference between the roots of the original equation is 2 10 4 Cannot be determined.
16
Three friends - A, B and C - go boating in a stream and decide to play a game. B and C are at a point X at time t =0 seconds. B is on a boat which is floating with the stream and C is on a boat which is anchored at X. Both B and C release paper boats at ... water is thrice the speed of the stream. Find the total number of paper boats collected by A, if B reaches Y at t = 132 seconds. 26 23 24 21
1 vote
17
A is a non-empty set having n elements. P and Q are two subsets of A, such that P is a subset of Q. Find the number of ways of choosing the subsets P and Q. 4 n 3 n 2 n n 2
1 vote
18
Had a trader bought an item at 10% less and sold it at 10% more, he would have doubled his profit percentage. What was the original profit percentage?
19
A rectangle MNOQ is drawn and length 'NO' is extended to a point R and a triangle QPR is drawn, with Angle ORP = 45º and side S and T are the midpoints of sides QR and PR respectively. If ST = 6 units, the area ( in sq.cm) of the rectangle is 112 144 288 256
1 vote
20
In a casino, there were three different coloured tokens - Red, Green, and Blue - with face values of Rs.20, Rs.50 and Rs.100 respectively. The total worth of all the tokens in the casino was Rs.18,500. On a busy day, when the tokens were not sufficient, all ... number of tokens per colour is equal to the number of Green tokens, then find the total number of tokens in the casino. 150 180 270 288
21
If x and y are positive integers less than 8, how many distinct values can the expression ( 3x + 7y ) take? 49 28 21 36
1 vote
22
What was the approximate range in CPI values in 2001? 8 9 10 11 12 What was the mean percentage change in CPI for all countries from the previous year in 1998? 3 4 5 6 7 If the printer cost 200 US Dollars in 1996 how much would it cost in 2000 assuming the price grew in line with US changes in CPI? 216 219 222 225 228
23
What was the percentage increase in the price of oil between 1998 and 2006? 4.83% 48.3% 51.3% 4.13% 5.13% If the total oil supply had grown at the same rate as the former USSR oil supply between 2000 and 2006 how much would this have exceeded the ... was the largest combined change in supply from the previous year for OPEC, the former USSR and other Non-OECD countries? 2000 2003 2004 2005 2006
1 vote
24
How many Dollars was one Euro worth in may? 1.15 1.20 1.25 1.30 1.35 What was the percentage drop in the value of the pound compared to the Euro over the year? 6 8 10 12 14 If u converted 67 Euros to pounds in February, how many Dollars (to the nearest Dollar) would this be worth in November? 87 89 91 93 95
1 vote
25
If between 1987 and 2007 the trend for fashion ties had been the same as for cravats, how many fashion ties would have been sold in 2007? 72600 72100 71300 70500 69200 For all types of tie together, what is the percentage decline between 2002 and 2007? (to nearest five ... 5% what was the total value of silk Ties sold in 2002? ( to nearest £1000) £372,000 £382,000 £392,000 £402,000 £412.000
1 vote
26
What was the population of Botsibia (millions) in 2006? 14.5 15.5 16.5 17.5 18.5 How many million cars were there in Korgolia in 2001? 9.2 9.7 10.2 10.7 11.2 Which country had the greatest percentage change in the numbers of cars per person between 2001 and 2006? ... person in Velumbia had been the same as that of Normark, how many cars would there be in Velumbia? 6.65M 6.75M 6.85M 6.95M 7.05M
1 vote
27
Which month showed the largest total decrease in PC sales over the previous month? March April May June July What percentage of manufacturer 2' s sales were made in April ( to the nearest percent) 16 22 27 33 38 If the average profit made on each PC sold by manufacturer 3 ... the total profit in pounds on all sales in this period by that manufacturer? 650,400 820,700 980,300 1,095,600 1,177,800
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31
Answer the following questions based on the information given below. The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below. Manasa would like to minimize the fuel consumption for the trip by driving at the ... . How should she change the speed? Increase the speed Decrease the speed Maintain the speed at $60$ km/hour Cannot be determined
32
The batting average $\text{(BA)}$ of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following manner: $r_1$ = number of runs scored in completed innings; $n_1$ = number of completed innings $r_2$ = ... $\text{MBA}_1$ and $\text{MBA}_2$ None of these
33
The figure shows the rectangle $\text{ABCD}$ with a semicircle and a circle inscribed inside in it as shown. What is the ratio of the area of the circle to that of the semicircle? $\left ( \sqrt{2}-1 \right )^{2}:1$ $2\left ( \sqrt{2}-1 \right )^{2}:1$ $\left ( \sqrt{2}-1 \right )^{2}:2$ None of these
34
The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weight in the ratio $1: 2 : 3: 4.$ When the pieces were sold, the merchant got $\text{Rs. 70,000}$ less. Find the original price of the diamond _____________
35
$\text{PQRS}$ is a square. $\text{SR}$ is a tangent (at point $\text{S})$ to the circle with centre $\text{O}$ and $\text{TR = OS}$. Then the ratio of area of the circle to the area of the square is $\pi /3$ $11/7$ $3 /\pi$ $7/11$
36
$\text{ABCD}$ is a square of area $4$ with diagonals $\text{AC}$ and $\text{BD}$, dividing square into $4$ congruent triangles. Figure looks like four non-over lapping triangles. Then the sum of the perimeters of the triangles is $8\left ( 2+\sqrt{2} \right )$ $8\left ( 1+\sqrt{2} \right )$ $4\left ( 1+\sqrt{2} \right )$ $4\left ( 2+\sqrt{2} \right )$
37
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other words, the string s length is ... , not drawn to scale). How is $h$ related to $n?$ $h=\sqrt{2}n$ $h=\sqrt{17}n$ $h=n$ $h=\sqrt{13}n$
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of $n$ turns (in other words, the string ... see figure, not drawn to scale). The length of the string, in cms, is $\sqrt{2}n$ $\sqrt{12}n$ $n$ $\sqrt{13}n$
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle? $2 : 3$ $3 : 4$ $1 : 4$ $1 : 2$
Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function given by $f(x)=x^{2}$ is even, while the function given by $f(x)=x^{3}$ is odd. Using this definition, answer the following questions. The function given by $f(x) = |x|^{3}$ even odd neither both