IIT JEE Practice Question and Answer
8Q: The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ? 3414 05b5cc741e4d2b4197774f9b8
5b5cc741e4d2b4197774f9b8- 127, 9, 21false
- 29, 21, 27false
- 321, 27, 9false
- 49, 27, 21true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "9, 27, 21"
Explanation :
Answer: D) 9, 27, 21 Explanation: Let Anushka age = XCharu latha 12 yrs older than Anushka so Charu latha age = x+12Kajal is thrice as old as Anushka so Kajal age = 3xThe ages of Anushka, Kajal and Charu latha together are 57 yearsi.e x + (x+12) + 3x = 57=> 5x = 45:- x = 9Anushka age = 9Kajal age = 3x = 27Charu latha age = x+12 = 21
Q: What will come in place of question mark(?) in the following number series ? 6859 5832 ? 4096 3375 3410 05b5cc6c0e4d2b4197774db1e
5b5cc6c0e4d2b4197774db1e- 14589false
- 24913true
- 35013false
- 45169false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "4913"
Explanation :
Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913
Q: Complete the next number in the given number series? 21 56 102 160 231 316 3409 05b5cc5ffe4d2b4197774b436
5b5cc5ffe4d2b4197774b436- 1416true
- 2415false
- 3414false
- 4413false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "416"
Explanation :
Answer: A) 416 Explanation: The given number series is 21 56 102 160 231 316 21 56 102 160 231 316 416 +35 +46 +58 +71 +85 +100 +11 +12 +13 +14 +15 Hence, the next number in the given number series is 316 + 100 = 416.
Q: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 3407 05b5cc7d1e4d2b41977751295
5b5cc7d1e4d2b41977751295- 1120false
- 2360true
- 3240false
- 4424false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "360"
Explanation :
Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times. Number of 7 digit numbers = 7!3!×2! = 420 But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'. =6!3!×2! = 60 Hence the required number of 7 digits numbers = 420 - 60 = 360
Q: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 3407 05b5cc6dce4d2b4197774e960
5b5cc6dce4d2b4197774e960- 15:3false
- 21:4false
- 34:1false
- 49:1true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "9:1"
Explanation :
Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters 10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters. The ratio of milk and water in the new mixture = 16:4 = 4:1 If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters. Amount of water removed = 2 liters. Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters. Now 10 lts milk is added => total milk = 18 lts The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
Q: The intersection of a column and a row 3406 05b5cc651e4d2b4197774bcdb
5b5cc651e4d2b4197774bcdb- 1Celltrue
- 2Menufalse
- 3Keyfalse
- 4Fieldfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Cell"
Explanation :
Answer: A) Cell Explanation: The intersection of a column and a row in a spread sheet is called as a cell or a bon.
Q: Count the number of triangles and squares in the given figure. 3402 05b5cc7b0e4d2b41977750826
5b5cc7b0e4d2b41977750826- 136 triangles, 7 Squaresfalse
- 238 triangles, 9 Squaresfalse
- 340 triangles, 7 Squarestrue
- 442 triangles, 9 Squaresfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "40 triangles, 7 Squares"
Explanation :
Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown Triangles : The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number. The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number. Total number of triangles in the figure = 18 + 16 + 6 =40. Squares : The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number Total number of squares in the figure = 3 + 4 =7
Q: Excretion is best described as the removal of 3400 05b5cc699e4d2b4197774c6a0
5b5cc699e4d2b4197774c6a0- 1Undigested material from the digestive tractfalse
- 2Metabolic wastes from a celltrue
- 3Toxic wastes by the process of cyclosisfalse
- 4Water molecules from dipeptide hydrolysisfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Metabolic wastes from a cell"
Explanation :
Answer: B) Metabolic wastes from a cell Explanation: Excretion is best described as the removal of Metabolic wastes from a cell.

