Searching for "If"

Q:

In each of the following questions three statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given three statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:

All books are novels.
No novel is a magazine.
All magazines are newspaper.
Conclusions: 

I.No book is a magazine.
II. Some newspaper are novels.

A) If only (I) conclusion follows B) If only (II) conclusion follows
C) If either (I) or (II) follows D) If neither (I) nor (II) follows and
 
Answer & Explanation Answer: A) If only (I) conclusion follows

Explanation:

Report Error

View Answer Report Error Discuss

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

 

 

Report Error

View Answer Report Error Discuss

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

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.

Report Error

View Answer Report Error Discuss

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

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:
Report Error

View Answer Report Error Discuss

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

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:
Report Error

View Answer Report Error Discuss

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

Q:

If tanA - cotA = x, then value of x is?

A) (1 + 2cos2A)/(sinA cosA) B) (sinA cosA)/(1 - 2cos2A)
C) (sinA cosA)/(1 + 2cos2A) D) (1 - 2cos2A)/(sinA cosA)
 
Answer & Explanation Answer: D) (1 - 2cos2A)/(sinA cosA)

Explanation:
Report Error

View Answer Report Error Discuss

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

Q:

Two items A and B have equal cost price. Item A is sold at 40% profit and item B is sold at an amount 20% less than the selling price of item A. If the total profit is 156 Rs then find the cost price of A.

A) Rs. 300 B) Rs. 350
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: A) Rs. 300

Explanation:

Let the cost price of A as well as B is 100 Rs.
Then, ATQ:
Selling Price of A = 100+40 = 140
And Selling Price of B = 140 - (140*0.2) = 140 - 28 = 112
Total selling price = 140+112 = 252 Rs.
Total Cost price = Rs. 200
So by taking cost price = 100 Rs.
Total profit = 52 Rs.
Total profit will be Rs. 156 when cost price = (100/52)*156 = Rs. 300.

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

The ratio of the speed of a boat downstream and speed of the stream is 9:1. If the speed of the current is 3 km per hr, find the distance travelled by the boat upstream in 5 hours.

A) 100 km B) 98 km
C) 109 km D) 105 km
 
Answer & Explanation Answer: D) 105 km

Explanation:

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

Report Error

View Answer Report Error Discuss

Filed Under: Boats and Streams
Exam Prep: Bank Exams