TANCET Quantitative Aptitude Previous Year Questions (PYQs)
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Showing 5 questions
Current age of Ritu and Rinki is in the
ratio 3:4. 6 years back, the ratio of their
ages was 2:3. What is the present age of
Ritu?
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3
4
Solution
Let their present ages be 3x and 4x.
Six years ago, their ages were (3x - 6) and (4x - 6).
So, according to the question:
Cross multiplying,
Simplifying,
Therefore, Ritu’s present age = 3x = 18 years.
Answer: 18 years
Six years ago, their ages were (3x - 6) and (4x - 6).
So, according to the question:
(3x - 6) / (4x - 6) = 2 / 3
Cross multiplying,
3(3x - 6) = 2(4x - 6)
Simplifying,
9x - 18 = 8x - 12
x = 6
Therefore, Ritu’s present age = 3x = 18 years.
Answer: 18 years
The sum of the ages of a son and father is
56 years; after four years the age of the
father will be three times that of the son.
What is the age of the father and the son,
respectively?
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2
3
4
Solution
Let the present ages be s (son) and f (father).
Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)
Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.
Answer (father, son): 44 years, 12 years
Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)
Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.
Answer (father, son): 44 years, 12 years
The speed of a motor boat in still water is
7km/hr. If the speed of the motor boat
against the stream is 5 km/hr, what is
the speed of the stream?
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4
Solution
Upstream speed = (boat in still water − stream).
5 = 7 − v ⇒ v = 2 km/hr.
Answer: 2 km/hr
5 = 7 − v ⇒ v = 2 km/hr.
Answer: 2 km/hr
Rahul can row downstream at 11 km/h
and upstream at 7 km/h. Find the speed
of Rahul in still water and speed of
current.
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4
Solution
Let speed of Rahul in still water = b km/h
and
speed of current = c km/h.
Then,
Downstream speed = b + c = 11
Upstream speed = b - c = 7
Adding both: 2b = 18
b = 9
Subtracting: 2c = 4
c = 2
✅ Rahul’s speed in still water = 9 km/h
✅ Speed of current = 2 km/h
Cynthia has borrowed Rs. 6,000 at the
rate of 7% S.I. What amount does she
need to pay after 3 years to clear the
debt?
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4
Solution
Principal (P) = 6000
Rate (R) = 7%
Time (T) = 3 years
Simple Interest (S.I.) = (P × R × T) / 100
= (6000 × 7 × 3) / 100 = 1260
Total Amount = P + S.I. = 6000 + 1260 = 7260
Answer: ₹7260
Rate (R) = 7%
Time (T) = 3 years
Simple Interest (S.I.) = (P × R × T) / 100
= (6000 × 7 × 3) / 100 = 1260
Total Amount = P + S.I. = 6000 + 1260 = 7260
Answer: ₹7260
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