GRE Practice Question and Answer
8Q: a) In a family of 6 persons, there are two couples. b) The lawyer is the head of the family and has only two sons- Suresh and Rajesh- both teachers. c) Mrs. Veena and her mother-in-law both are lawyers. d) Suresh's wife is a Doctor and they have a son, Ankith. 1) What is the profession of Rajesh's wife ? 2) What is Ankith's grandfather's occupation ? 2631 05b5cc72ce4d2b4197774f778
5b5cc72ce4d2b4197774f778- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer :
Explanation :
Answer: 1) Rajesh's wife is Mrs. Veena and she is a lawyer. Answer: 2) The family doesn't have Ankith's grandfather. So, we can't determine.
Q: Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ? 2170 05b5cc72ce4d2b4197774f773
5b5cc72ce4d2b4197774f773- 132 yearsfalse
- 248 yearsfalse
- 362 yearsfalse
- 450 yearstrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "50 years"
Explanation :
Answer: D) 50 years Explanation: Let Rajan's present age be 'x' years.=> Then his daughter's present age is = x/3 years.His mother's present age = 13x/9 yearsNow, according to the question,x + x/3 + 13x/9 = 125=> x = 125x9/25 = 45Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9=> 10 x 45/9 = 50 years.
Q: The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ? 1256 05b5cc72ce4d2b4197774f76e
5b5cc72ce4d2b4197774f76e- 114:9false
- 213:12false
- 316:5true
- 417:13false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "16:5"
Explanation :
Answer: C) 16:5 Explanation: Area of a square SxS = 1024 => S = 32 cmLength of the rectangle = 32x2 cm = 64 cmBreadth of the rectangle = 32 - 12 = 20 cmRequired ratio = 64 : 20 = 16 : 5
Q: The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ? 1851 05b5cc72ce4d2b4197774f764
5b5cc72ce4d2b4197774f764- 180 degreesfalse
- 260 degreestrue
- 3120 degreesfalse
- 440 degreesfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "60 degrees"
Explanation :
Answer: B) 60 degrees Explanation: Given the angles of a quadrilateral are in the ratio of 2:4:7:5Let the angles of a quadrilateral are 2x, 4x, 7x, 5xBut we know that sum of the angles = 360 degrees.=> 2x + 4x + 7x + 5x = 360=> x = 20Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.One of the angle of the triangle = 2 x 40 = 80 degreesThe other angle is 180 - (40 + 80) = 60 degrees. Hence the second largest angle of the triangle is 60 degrees.
Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 916 05b5cc72ce4d2b4197774f75f
5b5cc72ce4d2b4197774f75f- 160 mtsfalse
- 2120 mtsfalse
- 3240 mtsfalse
- 4360 mtstrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "360 mts"
Explanation :
Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.
Q: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 1378 05b5cc72ce4d2b4197774f746
5b5cc72ce4d2b4197774f746- 115,000false
- 236,000false
- 324,000true
- 412,500false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "24,000"
Explanation :
Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000
Q: In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ? 4424 05b5cc728e4d2b4197774f737
5b5cc728e4d2b4197774f737- 138false
- 239false
- 340true
- 441false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "40"
Explanation :
Answer: C) 40 Explanation: Given M.P=45,S.P=42, Profit = 0.05 Let C.P=x , Then Profit = (42-x)/x = 0.05=> x = 40.
Q: One lady has 2 children, one of her child is boy, what is the probability of having both are boys ? 1297 05b5cc728e4d2b4197774f72d
5b5cc728e4d2b4197774f72d- 11/3true
- 21/2false
- 32/3false
- 42/5false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "1/3"
Explanation :
Answer: A) 1/3 Explanation: In a family with 2 children there are four possibilities:1) the first child is a boy and the second child is a boy (bb)2) the first child is a boy and the second child is a girl (bg)3) the first child is a girl and the second child is a boy (gb)4) the first child is a girl and the second child is a girl (gg) But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).n(E)= both are boys=BB=1n(S)= 3Required probability P = n(E)/n(S) = 1/3.