CAT1991 Related Question Answers

1. Select the set in which the statements are logically related. A. Different hues are obtained from primary colours. B. A rainbow consists of several hues. C. Blue and red can give different hues. D. Red is a primary color. E. Blue can give different hues. F. Red can give different hues.

2. Is it more profitable for Company M to produce Q? I. Product R sells at a price four times that of Q II. One unit of Q requires 2 units of labour, while one unit of R requires 5 units of labour. There is a no other constraint on production.

3. A train started from Station A, developed engine trouble and reached Station B, 40 minutes late. What is the distance between Stations A and B? I. The engine trouble developed after travelling 40 km from Station A and the speed reduced to 1/4th of the original speed. II. The engine trouble developed after travelling 40 km from station A in two hours and the speed reduced to 1/4th of the original speed.

4. What is the value of prime number x? I. $$x^2 + x$$ is a two-digit number greater than 50 II. $$x^3$$ is a three digit number.

5. The average of three unequal quotations for a particular share is Rs.110. If all are quoted in integral values of rupee, does the highest quotation exceed Rs. 129? I. The lowest quotation Rs. 100. II. One of the quotations is Rs. 115.

6. How many people ( from the group surveyed ) read both Indian Express and Times of India? I. Out of total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu. II. Out of a total of 200 readers, 100 read Indian Express, 120 reads Times of India and 50 read neither.

7. X says to Y, 'I am 3 times as old as you were 3 years ago'. How old is X? I. Y's age 17 years from now is same as X.s present age. II. X's age nine years from now is 3 times Y.s present age.

8. What is the area under the line GHI-JKL in the given quadrilateral OPQR, knowing that all the small spaces are squares of the same area? I. Length ABCDEQ is greater than or equal to 60. II. Area OPQR is less than or equal to 1512.

9. What is the radius of the circle? I. Ratio of its area to circumference is > 7. II. Diameter of the circle is

10. What is the time difference between New York and London? I. The departure time at New York is exactly 9.00 a.m local time and the arrival time at London is at 10.00 a.m. local time. II. The flight time is 5 hours.

11. Mr. Murthy takes the morning train to his office from station A to station B, and his colleague Mr.Rahman joins him on the way. There are three stations C, D and E on the way not necessarily in that sequence. What is the sequence of stations? I. Mr. Rahman boards the train at D. II. Mr. Thomas, who travels between C & D has two segments of journey in common with Mr. Murthy but none with Mr. Rahman.

12. A function can sometimes reflect on itself, i.e. if y = f(x), then x = f(y). Both of them retain the same structure and form. Which of the following functions has this property?

13. What is the value of k for which the following system of equations has no solution: 2x-8y = 3 and kx +4y = 10

14. How many 3 - digit even number can you form such that if one of the digits is 5, the following digit must be 7?

15. Alord got an order from a garment manufacturer for 480 Denim Shirts. He brought 12 sewing machines and appointed some expert tailors to do the job. However, many didn't report to duty. As a result, each of those who did, had to stitch 32 more shirts than originally planned by Alord, with equal distribution of work. How many tailors had been appointed earlier and how many had not reported for work?

16. Iqbal dealt some cards to Mushtaq and himself from a full pack of playing cards and laid the rest aside. Iqbal then said to Mushtaq. "If you give me a certain number of your cards, I will have four times as many cards as you will have. If I give you the same number of cards, I will have thrice as many cards as you will have". Of the given choices, which could represent the number of cards with Iqbal?

17. Fifty college teachers are surveyed as to their possession of colour TV, VCR and tape recorder. Of them, 22 own colour TV, 15 own VCR and 14 own tape recorders. Nine of these college teachers own exactly two items out of colour TV, VCR and tape recorder; and, one college teacher owns all three. How many of the 50 teachers own none of the three, colour TV, VCR or tape recorder?

18. Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer?

19. What is the total number of ways to reach A to B in the network given, such that no node is included twice and one can only move from left to right?

20. Let the consecutive vertices of a square S be A,B,C &D. Let E,F & G be the mid-points of the sides AB, BC & AD respectively of the square. Then the ratio of the area of the quadrilateral EFDG to that of the square S is nearest to

21. $$2^{73}-2^{72}-2^{71}$$ is the same as

22. The number of integers n satisfying -n+2 ≥ 0 and 2n ≥ 4 is

23. The sum of two integers is 10 and the sum of their reciprocals is 5/12. Then the larger of these integers is

24. 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?

25. If $$y = f(x)$$ and $$f(x) = \frac{(1-x)}{(1 + x)}$$, which of the following is true?

Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use