Quantitative Aptitude рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ
рдкреНрд░: P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ? 2422 05b5cc6c7e4d2b4197774de73
5b5cc6c7e4d2b4197774de73- 199true
- 2100false
- 389false
- 41false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "99"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 99 Explanation: Let, Distance between A and B = d ┬а Distance travelled by P while it meets Q = d + 11 ┬а Distance travelled by Q while it meets P = d тАУ 11 ┬а Distance travelled by Q while it meets R = d + 9 ┬а Distance travelled by R while it meets Q = d тАУ 9 ┬а Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d тАУ 11 ┬а The ratio of speeds of Q & R => SQ : SR = d + 9 : d тАУ 9 ┬а But given Ratio of speeds of P & R => P : R = 3 : 2 ┬аSPSR┬а=┬аSPSQxSQSR┬а=┬аd+11d+9d-11d-9 ┬а =>┬аd+11d+9d-11d-9┬а= 3/2 ┬а => ┬аd = 1, 99 ┬а => d = 99 satisfies. ┬а Therefore,┬аDistance between A and B = 99
рдкреНрд░: What is the remainder when┬а1523+2323┬аis divided by 19 ? 2419 05b5cc77ae4d2b4197775014c
5b5cc77ae4d2b4197775014c- 14false
- 23false
- 31false
- 40true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "0"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 0 Explanation: 1523+2323=19-423+19+423┬а┬а ┬аThe remainder on dividing by 19 will be┬а-423+423= 0.
рдкреНрд░: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2419 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "5.76 kms"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream ┬а= 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance ┬а= 2.88 x 2 = 5.76 kms
рдкреНрд░: In what time will Rs. 1860 amount to Rs. 2641.20 at simple interest 12% per annum? 2418 05b5cc6bee4d2b4197774d988
5b5cc6bee4d2b4197774d988- 12.9 yearsfalse
- 23.5 yearstrue
- 34.2 yearsfalse
- 44.7 yearsfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 2. "3.5 years"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: B) 3.5 years Explanation: Given that Rs. 1860 will become Rs. 2641.20 at 12% => Simple Interest = 2641.20 - 1860 = Rs. 781.20 We know I = PTR/100 => 781.20 x 100 = 1860 x T x 12 => T = 78120/1860x12 => T = 78120/22320 => T = 3.5 years.
рдкреНрд░: Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk? 2418 05b5cc626e4d2b4197774b82a
5b5cc626e4d2b4197774b82a- 13 : 2true
- 22 : 1false
- 31 : 2false
- 42 : 3false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "3 : 2"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 3 : 2 Explanation: % of milk in first bottle = 64% % of milk in second bottle = 100 - 26 = 74% Now, ATQ ┬а 64%┬а ┬а ┬а ┬а ┬а ┬а 74%┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а68% ┬а 6┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а 4 ┬а Hence, by using allegation method, ┬а Required ratio = 3 : 2
рдкреНрд░: What is the probability that a leap year has 53 Saturdays and 52 Sundays ? 2417 05b5cc6dfe4d2b4197774eada
5b5cc6dfe4d2b4197774eada- 11/7true
- 22/7false
- 31/2false
- 43/2false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "1/7"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 1/7 Explanation: A leap year has 52 weeks and two daysTotal number of cases = 7Number of favourable cases = 1i.e., {Friday, Saturday} Required Probability = 1/7
рдкреНрд░: A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ? 2416 05b5cc6cee4d2b4197774e208
5b5cc6cee4d2b4197774e208- 112 daysfalse
- 214 daysfalse
- 313 daystrue
- 416 daysfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "13 days"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) 13 days Explanation: Now, Total work = LCM(16, 8) = 48 A's one day work = + 48/16 = + 3 B's one day work = - 48/8 = -6 Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15 2days B joined with A in working = 2(3 - 6) = - 6 Remaining Work of building wall = 48 - (15 - 6) = 39 Now this remaining work will be done by A in = 39/3 = 13 days.
рдкреНрд░: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 2413 05b5cc741e4d2b4197774f9e5
5b5cc741e4d2b4197774f9e5- 112 pmtrue
- 21 pmfalse
- 311 amfalse
- 411:30 amfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "12 pm"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.