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Q:

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 98 B) 89
C) 78 D) 87
 
Answer & Explanation Answer: B) 89

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

Q:

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 454 km B) 567 km
C) 302 km D) 378 km
 
Answer & Explanation Answer: D) 378 km

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT

Q:

If x - y = -9 and xy = -20, then find x2 + y2 ?

A) 61 B) 41
C) 81 D) 51
 
Answer & Explanation Answer: B) 41

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

Q:

At 15% discount the selling price of a microwave oven is Rs 34000, what is the selling price if the discount is 37.5%?

A) Rs 25000 B) Rs 15625
C) Rs 17968.75 D) Rs 29218.75
 
Answer & Explanation Answer: A) Rs 25000

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

Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of Δ APQ is 8 sq cm, what is the area of trapezium PQCB?

A) 50 sq cm B) 18 sq cm
C) 42 sq cm D) 14 sq cm
 
Answer & Explanation Answer: C) 42 sq cm

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams

Q:

If a cylinder of radius 4 cm and height 8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

A) 48 cm B) 24 cm
C) 36 cm D) 12 cm
 
Answer & Explanation Answer: B) 24 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If (secA - tanA)2 = x, then the value of x is

A) (1 + sinA)/(1 - sinA) B) √[(1 - sinA)/(1 + sinA)]
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: C) (1 - sinA)/(1 + sinA)

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Q:

If tan(A/2) = x, then the value of x is

A) (1 - cosA)/sinA B) (1 + cosA)/sinA
C) √[(1 - cosA)/sinA] D) √[(1 + cosA)/sinA]
 
Answer & Explanation Answer: A) (1 - cosA)/sinA

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