Aptitude and Reasoning Questions

Q:

If a3+ b3 = 19 and a + b = 1, then what is the value of ab?

A) 5 B) -6
C) 7 D) -9
 
Answer & Explanation Answer: B) -6

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a wholesaler, sells a box of chocolates at Rs 960 he gains 20%. Now if he decides to sell it at Rs 1120, what is his profit percentage?

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: B) 40

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

A) 8:00 B) 4:00
C) 6:30 D) 5:30
 
Answer & Explanation Answer: C) 6:30

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question. D) The data in both the Statements I and II are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

l=60012=50 cm

Required ratio = 5024=2512=25:12

Both the statements together are sufficient.

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Q:

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

DE, HI, LM,?

A) QA B) PR
C) PQ D) PU
 
Answer & Explanation Answer: C) PQ

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Filed Under: Alphabet Test
Exam Prep: CAT , Bank Exams , AIEEE

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Q:

In ΔABC, ∠B = 70° and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

A) 125° B) 120°
C) 115° D) 110°
 
Answer & Explanation Answer: A) 125°

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Q:

Riya travels 5 km in the east direction, takes a right turn and travels another 8 km. Next, she turns left to travel 4 km and then takes another left turn to travel 8 km more. Finally, she turns towards the east and travels 5 km. How far is she now from her original position?

A) 20 km B) 14 km
C) 15 km D) 16 km
 
Answer & Explanation Answer: B) 14 km

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Filed Under: Direction Sense Test
Exam Prep: Bank Exams

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Q:

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is

A) 20 days B) 21 days
C) 22 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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