Free Practice Questions for Competitive Exams, Interviews, Certifications

Q:

Point Q(-1,b) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What is the value of a and b?

A) a = 2; b = 1	B) a = -2; b = -1
C) a = -4; b = -8	D) a = 4; b = 8

Answer & Explanation Answer: B) a = -2; b = -1

Explanation:

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

0 1158

Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres	B) 15 litres
C) 23 litres	D) 18 litres

Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

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

9 3275

Q:

A vendor buys chikoos at 15 for Rs 8 and then sells at 10 for Rs 6. What will be the result?

A) 12.5 percent loss	B) 11.11 percent gain
C) 12.5 percent gain	D) 11.1 percent loss

Answer & Explanation Answer: C) 12.5 percent gain

Explanation:

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE

4 1829

Q:

The difference between Simple Interest and Compound Interest at the rate of 12% on the same amount for 3 years is Rs. 112.32. What is the principal amount if interest is compounded annually?

A) Rs. 25000	B) Rs. 2500
C) Rs. 50000	D) Rs. 5000

Answer & Explanation Answer: B) Rs. 2500

Explanation:

Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3 years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1st year, Interest = (12/100)*x
For 2nd year, interest = (12/100)*x + (12/100)*x + (144/10000)*x
For 3rd year, interest = (12/100)*x + (12/100)*x + (12/100)*x + (144/10000)*x + (144/10000)*x + (1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way: Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value of P.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , GATE

2 2859

Q:

Ruchir walks at 20 km/hr and Rukma cycles at 25 km/hr towards each other. What was the distance between them when they started if they meet after 48 minutes?

A) 54 km	B) 48 km
C) 36 km	D) 30 km

Answer & Explanation Answer: C) 36 km

Explanation:

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

3 2046

Q:

A student multiplied a number by 4/5 instead of 5/4. What is the percentage error in the calculation?

A) 56.25 percent	B) 18 percent
C) 28.13 percent	D) 36 percent

Answer & Explanation Answer: D) 36 percent

Explanation:

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

0 2193

Q:

Chord AB of a circle when extended meets the tangent to the circle at point P. PT is the tangent touching the circle at point T. If lengths of PT and PB are 6 cm and 4 cm respectively, what is the length of PA?

A) 12 cm	B) 11 cm
C) 10 cm	D) 9 cm

Answer & Explanation Answer: D) 9 cm

Explanation:

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

6 1902

Q:

Direction: What should come in the place of question mark (?) in the following number series? 24, 25, ?, 41, -8, 73

A) 13	B) 16
C) 25	D) 43

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