CAT Sample Paper 1 by www.indiaeducation.net
Quantitative Ability
DIRECTIONS for questions 1 to 7: Answer the questions independently of each other.
1. The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs.15 more than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1 sharpener exceed the cost of 6 pencils? (1) (2) (3) (4) 20 30 It does not exceed Cannot be determined
2. If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then the roots of the equation (x + a) (x + b) - 8 = 0 are (1) (2) (3) (4) 1 and 9 -4 and -6 4 and 6 Cannot be determined
3. What is the remainder when 7700 is divided by 100? (1) (2) (3) (4) 1 61 41 21
4. Balram, the local shoe shop owner, sells four types of footwear Slippers (S), Canvas Shoes (C), Leather Shoes (L) and Joggers (J). The following information is known regarding the cost prices and selling prices of these four types of footwear: (i) L sells for Rs.500 less than J, which costs Rs.300 more than S, which, in turn, sells for Rs.200 more than L. (ii) L costs Rs.300 less than C, which sells for Rs.100 more than S,
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which, in turn, costs Rs.100 less than C. If it is known that Balram never sells any item at a loss, then which of the following is true regarding the profit percentages earned by Balram on the items L, S, C and J represented by l, s, c and j respectively? (1) (2) (3) (4) l≥c≥s≥j c≥s≥l≥j l≥s≥c≥j s≥l≥j≥c
5. In the figure below, P, Q and R are points on a circle with centre O. The tangent to the circle at R intersects secant PQ at T. If QRT = 55° and QTR = 25°, find POQ.
(1)