Bright Zoom Maths

Aptitude Notes 1. Time & Work  ( MCQ - 1 to 4) Question  :  1 A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days? A. 3.75 days B. 4 days C. 5 days D. 6 days Answer : A. 3.75 days Explanation: 1/6 + 1/10 = 8/30 = 4/15,  15/4 = 3.75 days Question  : 2 A  B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in? A. 20 days B. 16 days C. 24 days D. 28 days Answer : C. 24 days Explanation: B = 1/8 – 1/2 = 1/24 => 24 days Question  : 3 A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? A. 10 days B. 20 days C. 5 days D. 4 days Answer : B. 20 days Explanation: C = 1/2 - 1/4 - 1/5  = 1/20 => 20 days Question  : 4 A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together fo...

 APTITUDE PART-A: VERBAL APTITUDE ANALOGY Analogy (Objects) Analogy means a degree of similarity; i.e., having similar features. Here we understand the relationship between two given objects and apply the same relationship to find what has been asked. Example:  Kite, Bird , Boat:? (a) Crow (b) Fish (c) Tiger (d) Car Here the relationship between Kite and Bird is that they both move throughair. Similarly, we can say that Boat and Fish move through water. Henceour answer is Fish. Tick the right choice. 1. Summer Cooler Winter a) Heater (b) Washing machine (c) Coat (d) Fridge 2. Water Glass Tea (a) Ten pot (b) Cup (c) Saucer (d) Tray 3. Pencil box Pencils Key chain (a) Square (b) Sphere (c) Cuboid (d) Cylinder 4. Dice Cube Match box (a) Purse (b) Shopping bag (c) Bangles (d) Keys 5. Shuttle cock Cone Globe (a) Circle (b) Cube (c) Cuboid (d) Sphere 6. Train Railway track Bus: (a) Diesel (b) Road (c) Bus-stop (d) Driver 7. Earthworm Crawl...

கணிதம் 1, 10) ஆண்கள் ஒரு நாளுக்கு 6 மணிநேரம் வேலை செய்வதால் 18 நாட்களில் ஒரு குறிப்பிட்ட வேலையை முடிக்கின்றார்கள். அதே வேலையை 15 ஆண்கள் ஒரு நாளுக்கு எத்தனை மணி நேரம் செய்தால் 12 நாட்களில் அவ்வேலையை முடிக்க முடியும்? விடை :  6மணிநேரம் விளக்கம் : ஒரு நாளில் தேவைப்படும் நேரத்தினை X எனக் கொள்வோம், ஆண்களின் எண்ணிக்கை அதிகரிக்க ஒரு நாளுக்கு தேவைப்படும் நேரத்தின் எண்ணிக்கை குறையும். நாட்களின் எண்ணிக்கை குறையும் போது, ஒரு நாளுக்கு அதிக நேரம் தேவைப்படும். ஆகவே, இவை எதிர்த்தகவில் அமைந்துள்ளது. ஆண்கள் 15 10 = நாட்கள் 12: 18: : 6 X 15 + 12 + 6 = 10 + 18 X X = (15 12 + 6) (10 + 18) X = 6 மணிநேரம் அதே வேலையை 15 ஆண்கள் ஒரு நாளுக்கு 6 மணிநேரம் செய்தால் 12 நாட்களில் அவ்வேலையை முடிக்க முடியும். 2. இரு எண்களின் கூடுதல் 216 மற்றும் அவற்றின் மீ.பெ.வ 27 எனில் அவ்விரு எண்களைக் காண்க. விடை (27, 189) விளக்கம் தேவையான எண்கள் = 27a, 27b என்க. 273 + 275 = 216 a + b = 216/27 a + b = 8 8 என்ற எண்ணின் Co prime-ல் 8 என வரும் எண்கள் (1, 7), (3, 5) தேவையான எண்கள் = 27 1, 27 7) மற்றும்...

 Aptitude Puzzle !! Answer:  2 Explanation: 1st diagram : ( 7 x 6 ) = 4 2 2nd diagram : ( 9 x 9 ) = 8 1 3rd diagram : ( 5 x 3 ) = 1 5 4th diagram : ( 6 x 2 ) = 1 2 ∴ Missing term = 2

APTITUDE TEST AND PREPARATION Aptitude Solved Problems Bright Zoom Maths, Question  : 1 A cloth merchant sold half of his cloth at 20% profit and half of the remaining cloth at 20% loss and remaining at the cost price. In total transmission what will be his gain or loss? Answer: 5% Explanation: Let CP = 100 Half of the cloth at 20% profit, SP  = 50 *120/100 = 60 Half of the remaing cloth at 20% loss, SP = 25 *80/100 = 20 Reaming cloth at CP,  Therefore SP = 25 On total transaction  SP = 60 + 20 +25 = 105 Profit% = 5% Question  : 2 The distance between two points is 36km. A boat rows in still water at 6kmph, it takes 8hr less to cover dist in downstream in comparison to that in upstream. Find the rate of stream? Answer: 3 kmph Explanation: Time = distance * speed Difference between time taken to cover upstream and downstream is 8hr ( 36 / ( 6 - x )) - ( 36 / ( 6 + x )) = 8 36 ( 6 + x ) - 36 ( 6 - x ) = 8 ( 36 - x2) 36 ( 6 + x - 6 - x ) = 8 ( 36 - x2) 9x = 36 - x...

Aptitude Solved Problems 1. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? Answer: 25200 Explanation: Number of ways of selecting 3 consonants from 7 = 7C3 Number of ways of selecting 2 vowels from 4 = 4C2 Number of ways of selecting 3 consonants from 7 and 2 vowels from 4 = 7C3 * 4C2 = ( 7 * 6 * 5 ) / ( 3 * 2 * 1 ) * ( 4 * 3) / ( 2 * 1 ) = 210 It means we can have 210 groups where each group contains total 5 letters (3 consonants and 2 vowels). Number of ways of arranging 5 letters among themselves = 5! = ( 5 * 4 * 3 * 2 * 1 ) = 120 Hence, required number of ways = ( 210 * 120 ) = 25200 ∴ Required number of ways are 25200 2. A man can row 6 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. Find the distance of the place? Answer: 5.33 km Explanation: Speed downstream = ( 6 + 2 ) km / hr = 8 km / hr Speed upstream = ( 6 - 2 ) km / hr = 4 km / ...

Aptitude Solved Problems challenge your brain in aptitude!! 1. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs 4000, the new ratio becomes 40 : 57. What is Sumit present salary. Answer: Rs. 38000 Explanation: Let the original Salaries of Ravi and Sumit is 2x and 3x. ( 2 x + 4000 ) / ( 3 x + 4000 ) = ( 40 / 57 ) 57 ( 2x + 4000 ) = 40 ( 3x + 4000) ( 114 x + 228000 ) = ( 120 x + 160000 ) ( 228000 - 160000 ) = ( 120 x - 114 x ) 6 x = 68000 3 x = 34000 Sumit Salary = ( 3x + 4000 ) = ( 34000 + 4000 ) = 38000 ∴ Sumit present salary is Rs. 38000 2. The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. In a certain month 540 units are consumed and the bill is Rs.1800. In another month 620 units are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more holidays. The bill for that month would be? Answer: Rs. 1680 Explanation: Let...