Official Quant thread for CAT 2013

(1) question can be answered from statement A alone but not by using the statement B alone.(2) question can be answered from statement B alone but not by using the statement A alone.(3) question can be answered by using either of the statements alone.(4) question can be answered by using both the statements but not by either of the statements alone.(5) question cannot be answered on the basis of the two statements.

In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank?

A. Kumar was among the top 25% of the boys merit list in the class in which 60% were boys.

B. There were three boys among the top five rank holders and three girls among the top ten rank holders. (CAT 2004)

(1) question can be answered from statement A alone but not by using the statement B alone.(2) question can be answered from statement B alone but not by using the statement A alone.(3) question can be answered by using either of the statements alone.(4) question can be answered by using both the statements but not by either of the statements alone.(5) question cannot be answered on the basis of the two statements.

Zakib spends 30% of his income on his children's education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%. Who spends more on children's education?

A. Zakib spends more on recreation than Supriyo.

B. Supriyo spends more on healthcare than Zakib. (CAT 2004)

can any one tell the short cut to 3 digit multiplication

In a triangle ABC, median AM is drawn such that it divides angle BAC in the ratio 1:2. AM is extended to D such that angle ABD=90. Given AC=12, find AD
a)8 b)12 c)16 d) 24


a toy train produces at least 10 diffrnt tunes wen it moves around a circular toy track of radius 5 meters : at 10 meters per minute. However, the toy train is defective and it now produces only two diffrnt tunes at random. What are the odds that the toy train produces 5 consecutive music tunes of d same type?

The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them twoyears after their marriage. The present average age of all three of them is 24 years. How many years is it since thecouple got married?

(A) 5 yrs (B) 6 yrs (C) 8yrs (D) 9 yrs

total area by the graph : |3x+y| +|x-2y| =14 ???

Find the least value of xΒ² + 4yΒ² + 9zΒ², if x + y + z = 14


Find the remainder if 17+17^2+17^3+.........+17^17 is divided by 34?

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Three numbers are selected from first 9 natural numbers. What is the probability that the product of the numbers is divisible by 10?

Four distinct coins are placed into one or more of five different boxes randomly. Find the probability that exactly 3 boxes will have at least one coin.
options:

3/25

72/125 -- ans.

16/25

8/75

how to solve this ,can anyone explain in detail..?

Q. (Kindly share the approach)
ABCDEF is a 6-digit no. divisible by 13. Which of the following no.s is necessarily divisible by 13?

a) 5(A-D) + 2(B-E) - 2(C-F)
b) 4(A-D) + 5(B-E) - (C-F)
c) 4(A-D) + 2(B-E) - 5(C-F)
d) NOT
embarrased

A and B sell pens at the same selling price. A calculates his profit percentage on his selling price, whereas B calculates his profit percentage on the cost price. Both of them found their calculated profit percentage to be 12.5%. If the difference of the profits earned by the two of them is ΰ€°42.50, then the selling price of the pens is

ΰ€°3400

ΰ€°3060 -- ans

ΰ€°3750

ΰ€°4010


need explanation....!!!

A blind man rolls a fair dice marked β€œ1”, β€œ2”, β€œ3”, β€œ4”, β€œ5” and β€œ6” on its six faces. After the first rolling, he erases the number on one of the six faces of the dice and marks it with β€œ1”. He rolls the dice again and erases the number on one of the faces and marks it with β€œ2”. He repeats this exercise four more times and marks β€œ3”, β€œ4”, β€œ5” and β€œ6” on faces of the dice in the subsequent trials. What is the probability that the face initially marked with β€œ3”on the fair dice, still has β€œ3” marked on it, after the sixth rolling?



In a group, there are 15 men and 12 women. The men exchange roses among themselves, and the women also do the same. (An exchange is one person giving another a rose, and the other then giving another rose to the first person.) Further, each woman gives one rose to only one man, and each man gives one rose to only one woman. How many roses are exchanged?


pls share approach.
ans is 369


ABCD is a rectangle with AD =10 . P is the point on BC such that angle APD= 45 degree . How many possible value of AB? a. 9.5 , b. 10.2 , c. 11.4 , d. 12.3

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Outside of circle Ξ“, point A is chosen. Tangents AB and AC to Ξ“ are drawn, with B,C on the circumference of Ξ“. On the extension of AB, D is a point such that B is between A and D, and ∠ADC=25∘. The circumcircle of ADC intersects Ξ“again at E (different from point C ). F is the foot of the perpendicular from B to DC. What is the measure (in degrees) of ∠DEF?



Is there a method to find number of integral solutions for equations like this : a+2b+3c=21

[Edited]

€‹1) All positive solutions

2) All non-negative solutions

computer awareness izz back








πŸ‘ΌπŸ‘ΌπŸ‘ΌπŸ‘Ό

How can 10 identical balls be distributed among 6 children?