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Q:

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

A) (6/11, 9/11) B) (6/7, 9/7)
C) (6/11, -9/11) D) (-6/7, 9/7)
 
Answer & Explanation Answer: A) (6/11, 9/11)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

Q:

Find co-ordinates of the mid point of the segment joining points C (3,-5) and D (-7,3).

A) (-2, -1) B) (5, -4)
C) (-5, 4) D) (2, 1)
 
Answer & Explanation Answer: A) (-2, -1)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

Q:

4 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

A) 48 km/hr B) 57.6 km/hr
C) 72 km/hr D) 38.4 km/hr
 
Answer & Explanation Answer: A) 48 km/hr

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT

Q:

If sinC + sinD =X, then the value of X is?

A) 2cos[(C+D)/2]sin[(C-D)/2] B) 2sin[(C+D)/2]cos[(C-D)/2]
C) 2cos[(C+D)/2]cos[(C-D)/2] D) 2sin[(C+D)/2]sin[(D-C)/2]
 
Answer & Explanation Answer: B) 2sin[(C+D)/2]cos[(C-D)/2]

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

Q:

The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is

A) 78 B) 49
C) 72 D) 90
 
Answer & Explanation Answer: B) 49

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT

Q:

Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 92 B) 29
C) 36 D) 63
 
Answer & Explanation Answer: B) 29

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT

Q:

If sin 30° + cos 45° = X, then the value of X.

A) (2√2-√3)/2 B) 4/√3
C) (1-√3)/√3 D) (1+√2)/2
 
Answer & Explanation Answer: D) (1+√2)/2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A) 6160 B) 1540
C) 3080 D) 9240
 
Answer & Explanation Answer: C) 3080

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT