# Recent questions tagged cat1997

41
These questions are based on the following data:A thief flees City $A$ in a car towards City $B$ on a stretch of straight road, $300$ kilometres long, at the speed of $60... 1 answer 42 In the given figure,$EADF$is a rectangle and$ABC$is a triangle whose vertices lie on the sides of$EADF$.$AE = 22,BE = 6,CF = l6$and$BF = 2$. Find the length of th... 0 answers 43 In the adjoining figure, points$A, B, C$and$D$lie on the circle.$AD = 24$and$BC =12$. What is the ratio of the area of the triangle$CBE$to that of the triangle$...
44
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for t...
45
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for t...
46
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for t...
47
At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee’s name. All other days are working...
48
At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee’s name. All other days are working...
49
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longe...
50
In a triangle $ABC$, points $P, Q$ and $R$ are the mid-points of the sides $AB, BC$ and $CA$ respectively. If the area of the triangle $ABC$ is $20$ sq units, find the ar...
51
The value of each of a set of silver coins varies as the square of its diameter if thickness remains constant, and it varies as the thickness if the diameter remains cons...
52
$A, B$ and $C$ are defined as follows:$A=(2.000004)\div [(2.000004)^{2}+(4.000008)]$$B=(3.000003)\div [(3.000003)^{2}+(9.000009)]$$C=(4.000002)\div [(4.000002)^{2}+(8.000... 1 answer 53 The adjoining figure shows a set of concentric squares.If the diagonal of the innermost square is$2$units, and if the distance between the corresponding corners of any ... 0 answers 54$ABC$is a three-digit number in which$A>O$. The value of$ABC$is equal to the sum of the factorials of its three digits. What is the value of$B$?$9$$7 4 2 1 answer 55 For these questions, the following functions have been defined:la(x,y,z) = min(x+y, y+z) le (x,y,z) = max(x–y, y–z) ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]For x ... 0 answers 56 For these questions, the following functions have been defined:la(x,y,z) = min(x+y, y+z)$$le (x,y,z) = max(x–y, y–z)$$ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]What is t... 0 answers 57 For these questions, the following functions have been defined:la(x,y,z) = min(x+y, y+z)$$le (x,y,z) = max(x–y, y–z)$$ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]Given tha... 1 answer 58 P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is three less than two times R, find the value of R.5$$7$$9$$11$1 answer 59 AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is$15$cm, AC is$12$cm and BD is$9$cm, find the area of the qua... 0 answers 60 A man earns$x$% on the first$2000$rupees and$y$% on the rest of his income. If he earns Rs$700$from Rs$4000$and Rs$900$from Rs$5000$of income, find$x$.$20$$1... 0 answers 61 A survey of 200 people in a community who watched at least one of the three channels – BBC, CNN and DD showed that 80% of the people watched DD, 22% watched BBC, ... 0 answers 62 A survey of 200 people in a community who watched at least one of the three channels – BBC, CNN and DD showed that 80% of the people watched DD, 22% watched BBC, ... 0 answers 63 A survey of 200 people in a community who watched at least one of the three channels – BBC, CNN and DD showed that 80% of the people watched DD, 22% watched BBC, an... 0 answers 64 Which of the following is true?_{7}^{3^{2}} = (7^{3})^{2}$$_{7}^{3^{2}} (7^{3})^{2}$$_{7}^{3^{2}} < (7^{3})^{2}None of these 1 answer 65 If m and n are integers divisible by 5, which of the following is not necessarily true?m–n is divisible 5.m^{2}-n^{2} is divisible by 25.m+n is divisibl... 1 answer 66 The sum of the areas of two circles which touch each other externally is 153\pi. If the sum of their radii is 15, find the ratio of the larger to the smaller radius.... 1 answer 67 If the roots, x_{1} and x_{2} of the quadratic equation x^{2}-2x+c=0 also satisfy the equation 7x_{2}-4x_{1}=47, then which of the following is true? c=-15$$x_{1...
68
The average marks of a student in ten papers are $80$. If the highest and the lowest scores are not considered, the average is $81$. If his highest score is $92$, find th...
69
$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$?$20$$65$$16$$35 1 answer 70 A candidate was asked to find 7/8th of a positive number; he found 7/18th of the same by mistake. If his answer was 770 less than the correct one, then the original... 0 answers 71 An express train moving at the rate of 80 km per hour overtakes completely a good train twice as long and moving on a parallel line in the same direction at the rate of... 0 answers 72 Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. The weight of dry grapes available from 20 kg of fresh grapes will be.2 k... 0 answers 73 A dry fruit seller purchased 3 kinds of nuts at the rate of Rs. 100/kg, Rs. 80/kg and Rs. 60/kg. He then mixed them, respectively, in the ratio 3:4:5 by weight an... 1 answer 74 How many values of the natural number n are possible so that the expression (16n^{2}+7n+6)/n is also a natural number?Infinitely many3$$4$None of thesed & c
75
After a discount of $11.11$%, a trader still makes a gain of $14.28$%. At how many percent above the cost price does he mark his goods?$28.56$% $35$%$22.22$%None of these...
76
If $\log_{2}[ \log_{7} (x^{2}-x+37)]=1$ then what could be the value of $x$?$3$$5$$4$None of these$c$
A student gets an aggregate of 60% marks in five subjects in the ratio $10:9:8:7:6$. If the passing marks are $50$% of the maximum marks and each subjects has the same ma...
There are $60$ students in a class. These students are divided into three groups $A, B$ and $C$ of $15, 20$ and $25$ students each. The groups $A$ and $C$ are combined to...
There are $60$ students in a class. These students are divided into three groups $A, B$ and $C$ of $15, 20$ and $25$ students each. The groups $A$ and $C$ are combined to...