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Q:

The reflex angle between the hands of a clock at 11:35 is ?

A) 137.5 degrees	B) 222.5 degrees
C) 192.5 degrees	D) 330 degrees

Answer & Explanation Answer: B) 222.5 degrees

Explanation:

Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.

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Filed Under: Clock puzzles
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Statement: The experts group on Technical Education has stressed that Computer Education should be provided to children from primary school itself. It should be implemented in urban and rural school, simultaneously.

Courses of action:
a) Government should issue instructions to all school for Computer Education.
b) At least one teacher of each school should be trained in Computer operations for teaching children.

A) Both a and b follows	B) Only a follows
C) Only b follows	D) Neither a nor b follows

Answer & Explanation Answer: A) Both a and b follows

Explanation:

Both are the right courses of action for effective implementation of Computer Education at primary level urban and rural schools.

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Filed Under: Statement and Courses of Action
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
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Q:

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1995. She ended counting on which finger ?

A) Thumb	B) Index finger
C) Ring finger	D) Middle finger

Answer & Explanation Answer: D) Middle finger

Explanation:

Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,.........
i.e., numbers of the form (8n + 1 ).
where n=1,2,3...
Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.

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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams , CAT
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Q:

Evaluate : $\frac{3 . 39^{2} - 2 . 61^{2}}{3.39 - 2.69}$ ?

A) 3	B) 4
C) 6	D) 1

Answer & Explanation Answer: C) 6

Explanation:

It is in the form of $\frac{a^{2} - b^{2}}{a - b} = \frac{(a + b) (a - b)}{a - b} = a + b$

Here a = 3.39 b = 2.61

= 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

A) 80 degrees	B) 60 degrees
C) 120 degrees	D) 40 degrees

Answer & Explanation Answer: B) 60 degrees

Explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GRE , TOEFL
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Q:

Statement : Let there be a signboard also indicating the directions and instructions.

Assumptions :
a) Signboard can be prepared without using any language.
b) Signboard is the only effective tool to indicate directions.

A) Both a and b are not sufficient	B) Only a is sufficient
C) Only b is sufficient	D) Both a and b are sufficient

Answer & Explanation Answer: A) Both a and b are not sufficient

Explanation:

The statement doesn't give any clue to the use of language. Hence a is not implicit.
b is also not implicit because in the sentence 'only' indicates false meaning.

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Filed Under: Statement and Assumptions
Exam Prep: AIEEE , Bank Exams , TOEFL
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Q:

Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?

A) 125	B) 155
C) 135	D) 165

Answer & Explanation Answer: D) 165

Explanation:

Ratio C1:C2 = 3:5 and C2:C3 = 7:11
So C1:C2:C3 = 21 : 35 : 55
Let the strength of three classes are 21x, 35x and 55x respectively, then
Given that 21x + 35x + 55x = 333
=> 111x = 333 or x=3
So strength of the class with highest number of students =55x = 55x3 = 165.

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

640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?

A) 360 ml	B) 320 ml
C) 310 ml	D) 330 ml

Answer & Explanation Answer: B) 320 ml

Explanation:

Here total parts of milk and water in the solution is 6+2 = 8 parts.

1part = 640/8 = 80

old mixture contains 6parts of milk and 2 parts of water(6:2).

To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same.

i.e, 4 x 80 = 320 ml.

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Filed Under: Alligation or Mixture
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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