Practice Questions Chat

PS Question 1 - May 19

Two couples and one single person are seated at random in a row of five chairs. What is the probability that neither of the couples sit together in adjacent chairs?

A. 1/5
B. 1/4
C. 3/8
D. 2/5
E. 1/2

Source: Other | Difficulty: Hard

DS Question 1 - May 19

In the standard (x,y) coordinate plane, what is the slope of the line containing the distinct points P and Q ?

(1) Both P and Q lie on the graph of |x| + |y| = 1.
(2) Both P and Q lie on the graph of |x + y| = 1.

Source: Official Guide | Difficulty: Hard

I change my answer , its A

Only the houses of Fred and Joe have a computer. Fred, John, Garth and Joe own their own houses. Fred and John have single-storey properties while the houses of the others are on two floors. John and Joe have gardens while the others do not.
Who has neither a garden nor a computer?

(A) Fred (c) John (E) None of the above (B) Joe (D) Garth

This is not a GMAT question. Request you to refrain from posting non-GMAT Question on the forum. Thanks !

-1 , where is the option for this question?

This is a data-sufficiency question. The options are always the same. Here are options if that helps -

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Thanks for clarifying.

Nice Question !
Total Arrangements for 5 people=5!
Arrangements for No Couple together= 5! - (A+B-AB)
A - arrangement for 1st Couple always together
B - arrangement for 2nd Couple always together
AB - arrangement for bath Couple always together
=> 5!-(4!*2! + 4!*2! - 3!*2!*2!) = 48
Probability = 48/120 = 2/5

Answer : D

E

The results of two recent unrelated studies support the idea that dolphins may
share certain cognitive abilities with humans and great apes; the studies indicate
dolphins as capable of recognizing themselves in mirrors—an ability that is often
considered a sign of self-awareness—and to grasp spontaneously the mood or
intention of humans.
(A) dolphins as capable of recognizing themselves in mirrors—an ability that
is often considered a sign of self-awareness—and to grasp spontaneously
(B) dolphins’ ability to recognize themselves in mirrors—an ability that is
often considered as a sign of self-awareness—and of spontaneously grasping
(C) dolphins to be capable of recognizing themselves in mirrors—an ability
that is often considered a sign of self-awareness—and to grasp
spontaneously
(D) that dolphins have the ability of recognizing themselves in mirrors—an
ability that is often considered as a sign of self-awareness—and
spontaneously grasping
(E) that dolphins are capable of recognizing themselves in mirrors—an
ability that is often considered a sign of self-awareness—and of
spontaneously grasping

DS Question 1 - May 20

Is the product of two positive numbers x and y greater than their sum?

(1) x and y are integers.

(2) y > x > 1

Source: GMAT Club Tests | Difficulty: Medium

PS Question 1 - May 20

Each stroke of a hammer inserts 30% of the nail, out of the wood, into the wood. How many strokes are needed to push 80% of a nail into the wood?

A. 3
B. 4
C. 5
D. 6
E. 7

Source: Expert’s Global | Difficulty: Hard

Each stroke of a hammer inserts 30% of the nail, out of the wood, into the wood. How many strokes are needed to push 80% of a nail into the wood?

A. 3
B. 4
C. 5
D. 6
E. 7

C

PS Question 1 - May 22

Of the four-digit positive integers that are greater than 4000, how many have three digits that are equal to each other and one digit that is not equal to the other three?

A. 162
B. 215
C. 216
D. 240
E. 324

Source: GMATNinja | Difficulty: Medium

DS Question 1 - May 22

If x is an integer, is 3^x less than 500?

(1) 4^(x–1) < 4^x – 120

(2) x^2 = 36

Source: Manhattan | Difficulty: Hard

B
Numbers of the form "aaab *4!/3!" are needed, We will have 3 cases:
Case 1 - a(4-9)b(4-9)=5*6*4!/3! = 120
Case 2 - b(4-9)a(0-3)=6*4*1=24
Case 3 - a(4-9)b(0-3)=6*4*3(b can have only 3 positions)=72
Total=216-(1 case for "4000")=215

C
stmt1: x>=4
stmt2: x= 6 or -6

say a four digit number 4 _ _ _

the blanks can’t have all zeros (otherwise number will be Equal to 4000) and can’t have all digits as 4s, so there are a total of 8 equal numbers that can fill the blanks if all contraints are taken into consideration.

say a four digit number 5 _ _ _

note that here, although we can’t have all 5s, we can have rest all 9 possibilites

same goes for numbers starting with 6,7,8 and 9

so total numbers we collected so far = 8 + 9*5 = 53

UP next...

we can again have a four digit number say 4 _ _ _
but here, we can repeat the digit 4 three times and leave one blank with any of the remaining 9 possibilites. since the one unequal number can rotate between 3 blank spaces, we can say 9*3 ways we can fill in the blanks

and this remains true for numbers starting with 5,6,7,8,9.

hence total possibilities in this scenario = 9*3 * 6 = 162


Therefore, total four digit numbers = 53 + 162 = 215
option B

PS Question 1 - May 23

A shopkeeper buys rice at $B per kg and sells it for $S per kg. He cheats while selling rice and gives 20% less than the actual weight. If he makes a profit of 30% in a transaction, then find the ratio of B to S.

A. 8:13

B. 10:13

C. 25:26

D. 26:25

E. 13:8

Source: GMATWhiz | Difficulty: Medium

DS Question 1 - May 23

Is quadrilateral ABCD a rectangle?

(1) Line segments AC and BD bisect one another.
(2) Angle ABC is a right angle.

Source: Manhattan | Difficulty: Medium

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