Mistral Previous Years Solved Sample Placement Papers
- The length of a rectangle is twice its breadth. If the length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle increases by 75 sq. cm. Find the original length of the rectangle.
(A) 20 cm
(B) 24 cm
(C) 25 cm
(D) 26 cm
Ans: A
- A motorboat, whose speed is 15 km/hr in still water, goes 30 km downstream and comes back in a total of 4 hours 30 minutes. What is the speed of the stream (in km/hr)?
(A) 4
(B) 5
(C) 6
(D) 10
Ans: B
- Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe empties the tank in 20 hours. If all three pipes are operated simultaneously, in how much time will the tank be filled?
(A) 6 hrs 20 min
(B) 7 hrs 15 min
(C) 5 hrs 30 min
(D) 7 hrs 30 min
Ans: D
- 39 persons can repair a road in 12 days working 5 hours daily. In how many days will 30 persons, working 6 hours daily, complete the same work?
(A) 10
(B) 13
(C) 14
(D) 15
Ans: B
- Arrange the fractions 5/8, 7/12, 13/16, 16/29, and 3/4 in ascending order.
Ans: 16/29, 7/12, 5/8, 3/4, 13/16
- If (1 / 3.718) = 0.2689, find the value of (1 / 0.0003718).
Ans: 2689
- Today is Monday. After 61 days, it will be:
(A) Wednesday
(B) Saturday
(C) Tuesday
(D) Thursday
Ans: B
- Stewart started a business investing Rs. 45,000. After 3 months, Jackson joined him with Rs. 60,000. After 6 more months, Rooney joined with Rs. 90,000. At year's end, they made a profit of Rs. 16,500. Find their respective shares.
Ans: Rs. 6600, Rs. 6600, Rs. 3300
- Four milkmen rented a pasture. A grazed 24 cows for 3 months; B grazed 10 cows for 5 months; C grazed 35 cows for 4 months; D grazed 21 cows for 3 months. If A's rent share is Rs. 720, find the total rent of the field.
(A) Rs. 3200
(B) Rs. 3250
(C) Rs. 3210
(D) Rs. 3300
Ans: B
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The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3 is:
(A) 3
(B) 13
(C) 23
(D) 33
Answer: (C)
Explanation: L.C.M. of 5, 6, 4, and 3 = 60. On dividing 2497 by 60, the remainder is 37. ∴ Number to be added = (60 - 37) = 23.
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A rectangular court 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?
(A) 14 cm
(B) 21 cm
(C) 42 cm
(D) None of these
Answer: (D)
Explanation: Largest size of the tile = H.C.F. of 378 cm and 525 cm = 21 cm.
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January 1, 2004, was a Thursday. What day of the week lies on January 1, 2005?
(A) Monday
(B) Thursday
(C) Saturday
(D) Sunday
Answer: (C)
Explanation: The year 2004, being a leap year, has 2 odd days. So, the first day of 2005 will be 2 days beyond Thursday, and so it will be Saturday.
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Pointing to a person, Deepak said, "His only brother is the father of my daughter's father." How is the person related to Deepak?
(A) Father
(B) Grandfather
(C) Uncle
(D) Brother-in-law
Answer: (C)
Explanation: Father of Deepak's daughter's father = Deepak's father. Hence, the person is the brother of Deepak's father. Therefore, the person is the uncle of Deepak.
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A's son B is married to C, whose sister D is married to E, the brother of B. How is D related to A?
(A) Sister
(B) Daughter-in-law
(C) Sister-in-law
(D) Cousin
Answer: (B)
Explanation: Since E is the brother of B, A is the father of E. D is the wife of E. Hence, D is the daughter-in-law of A.
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125, 126, 124, 127, 123, ...?
(A) 126
(B) 129
(C) 123
(D) 128
Answer: (D)
Explanation: The sequence is +1, -2, +3, -4, +5. So, 123 + 5 = 128.
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If A, B, and D appear for the interview and D is called for an additional interview the following week, which two candidates may be asked to appear with D?
I. A
II. B
III. C
IV. E
(A) I and II
(B) I and III only
(C) II and III only
(D) III and IV only
Answer: (D)
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Which of the following correctly state(s) the procedure followed by the search committee?
I. After the second interview, all applicants have appeared at least once
II. The committee sees each applicant a second time
III. If a third session occurs, it is possible for all applicants to appear at least twice
(A) I only
(B) II only
(C) III only
(D) Both I and II
Answer: (A)
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On January 10th, with the temperature at 15°F, it snows all day. On how many lines will service be affected, including both morning and afternoon?
(A) 2
(B) 3
(C) 4
(D) 5
Answer: (D)
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On August 15th, with the temperature at 97°F, it begins to rain at 1 PM. What is the minimum number of lines on which service will be affected?
(A) 2
(B) 3
(C) 4
(D) 5
Answer: (C)
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On which of the following occasions would service on the greatest number of lines be disrupted?
(A) A snowy afternoon with the temperature at 45°F
(B) A snowy morning with the temperature at 45°F
(C) A rainy afternoon with the temperature at 45°F
(D) A rainy afternoon with the temperature at 95°F
Answer: (B)