CAT Practice Question and Answer
8Q: A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ? 1592 05b5cc74ae4d2b4197774fad6
5b5cc74ae4d2b4197774fad6- 1175false
- 2345false
- 3265false
- 4300true
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Answer : 4. "300"
Explanation :
Answer: D) 300 Explanation: Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.Now, n = 25 x 42 x 60 / 7 x 6 x 5 = 63000 / 210 = 300.Therefore, 300 books can be in that box.
Q: 6 boys and 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days. Find time taken by 15 boys and 20 girls to do same work ? 1533 05b5cc74ae4d2b4197774fadb
5b5cc74ae4d2b4197774fadb- 12 daysfalse
- 23 daysfalse
- 34 daystrue
- 45 daysfalse
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Answer : 3. "4 days"
Explanation :
Answer: C) 4 days Explanation: One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I) One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II) Divide both sides by 2 in (I) and then multiply both sides by 5 Now we get, 15b + 20g = 1/4. Therefore, 15 boys and 20 girls can do the same work in 4 days.
Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 1771 05b5cc74ae4d2b4197774fad1
5b5cc74ae4d2b4197774fad1- 11 : 2 : 3false
- 22 : 3 : 4true
- 33: 4 : 5false
- 44 : 5 : 6false
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Answer : 2. "2 : 3 : 4"
Explanation :
Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14 => 2:3:4.
Q: A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ? 1637 05b5cc74ae4d2b4197774facc
5b5cc74ae4d2b4197774facc- 140 kmfalse
- 230 kmfalse
- 320 kmtrue
- 410 kmfalse
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Answer : 3. "20 km"
Explanation :
Answer: C) 20 km Explanation: Average speed = 2aba+b, here a=25 b=4 = 2 x 25 x 4/(25+4) = 200/29 km/hr. Distance covered in 5 hours 48 minutes = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms. Distance of the post office from the village = (40/2) = 20 km.
Q: The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ? 2902 05b5cc74ae4d2b4197774fac7
5b5cc74ae4d2b4197774fac7- 154false
- 264false
- 368false
- 472true
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Answer : 4. "72"
Explanation :
Answer: D) 72 Explanation: If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, thenk + l + m + n = 58 x 4 = 232 ---- (i) & l + m + n + o = 60 x 4 = 240 ---- (ii)Subtracting (i) from (ii), we get o-k = 8 ---(iii)Given, k/o = 8/9 ----(iv)So from (iii) & (iv), we geta = 64, e = 72Therefore, number of visitors on 5th day is 72.
Q: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2442 15b5cc74ae4d2b4197774fabd
5b5cc74ae4d2b4197774fabd- 1Rs. 175false
- 2Rs. 325false
- 3Rs. 340true
- 4Rs. 260false
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Answer : 3. "Rs. 340"
Explanation :
Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.
Q: A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ? 2136 05b5cc74ae4d2b4197774fac2
5b5cc74ae4d2b4197774fac2- 13 daysfalse
- 226/3 daysfalse
- 313/4 daysfalse
- 424/5 daystrue
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Answer : 4. "24/5 days"
Explanation :
Answer: D) 24/5 days Explanation: we know that m1 x d1 = m2 x d2=> 4 x 6 = 5 x dwhere d = no. of days taken by 5 men to paintd = 24/5 days.
Q: What is the next number of the following sequence ? 21, 77, 165, 285, ...... 2343 05b5cc74ae4d2b4197774fab8
5b5cc74ae4d2b4197774fab8- 1404false
- 2415false
- 3426false
- 4437true
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Answer : 4. "437"
Explanation :
Answer: D) 437 Explanation: The series follow the rule, 21 = 77 = 92-4165 = 132-4285 = 172-4 5,9,13,17,21,(+4)...In the same way next no. will be 212-4 = 441 - 4 = 437