IASbaba’s Daily CSAT Practice Test
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Daily CSAT Practice Test
Everyday 5 Questions from Aptitude, Logical Reasoning, and Reading Comprehension will be covered from Monday to Saturday.
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Question 1 of 5
1. Question
Pranay’s age is 1/6 th of his father’s age. Pranay’s father’s age will be twice Akshay’s age after 10 years. If Akshay’s eighth birthday was celebrated two years before, then what is Pranay’s present age?
Correct
Solution (b)
Akshay’s present age = 8+2 = 10 years
Pranay’s father’s age after 10 years = 2(10+10) = 40
Pranay’s father’s present age = 40-10 = 30
Pranay’s present age = 1/6(30) = 5 years
Incorrect
Solution (b)
Akshay’s present age = 8+2 = 10 years
Pranay’s father’s age after 10 years = 2(10+10) = 40
Pranay’s father’s present age = 40-10 = 30
Pranay’s present age = 1/6(30) = 5 years
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Question 2 of 5
2. Question
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Correct
Solution (b)
LCM of 5, 6, 7 and 8 = 840
Hence the number can be written in the form (840k + 3) which is divisible by 9.
If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9.
If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9.
Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
Incorrect
Solution (b)
LCM of 5, 6, 7 and 8 = 840
Hence the number can be written in the form (840k + 3) which is divisible by 9.
If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9.
If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9.
Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
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Question 3 of 5
3. Question
Presidents of six countries namely K, L, M, N, O and P are seated to negotiate a treaty. There are exactly six chairs evenly spaced around a circular table. The chairs are numbered 1 through 6, with successively numbered chairs next to each other and chair number 1 next to chair number 6. Each chair is occupied by exactly one of the representatives.
P sits immediately next to N.
L sits immediately next to M, N, or both.
K does not sit immediately next to M and
If O sits immediately next to P, O does not sit immediately next to M.
If L sits immediately next to P, which one of the following is a pair of representatives who must sit immediately next to each other?
Correct
Solution (a)
Using the information given in the problem
Statement 1 provides us with P and N as such a pair. Under Key Issues, we already recognized that this set isn’t concerned with who’s to the left or right of whom, so we don’t need to take that into account when symbolizing the rules. “ALWAYS PN” will serve as a reminder that these two must always sit together.
Statement 2 says that L must always sit next to M or N or both of them. Again, this set isn’t concerned with left/right, so seating arrangement will be “LM, LN, or MLN”
K and M must never be next to each other around the table. So we can write “NEVER KM” to serve as a reminder.
As per statement 4, If O is sitting next to P, and then O isn’t also next to M. We can get the contrapositive simply by reversing these terms and negating them. If O is sitting next to M, then O isn’t also next to P. “If OP, then no OM” and “If OM, then no OP”
Starting with Statement 1, the final arrangement looks like
K L M N O P
ALWAYS PN
NEVER KM
LM, LM or MLN
If OP then no OM
If OM then no OP
The question says that L sits next to P. We can simply put L and P next to each other. Now we can look for statements that have L or P in them. Statement 1 says that P must sit next to N. L is on one side of P, so N must be on the other. Statement 2 says that L must sit next to M or N or both. Here N is on one side of P with L on the other side, so M must be next to L. K and O are left to occupy the remaining adjacent chairs in between M and N. Statement 3 says that K can’t sit next to M, so K must sit next to N while O sits next to M. The complete ordering is now set, So K and O must sit next to each other.
Incorrect
Solution (a)
Using the information given in the problem
Statement 1 provides us with P and N as such a pair. Under Key Issues, we already recognized that this set isn’t concerned with who’s to the left or right of whom, so we don’t need to take that into account when symbolizing the rules. “ALWAYS PN” will serve as a reminder that these two must always sit together.
Statement 2 says that L must always sit next to M or N or both of them. Again, this set isn’t concerned with left/right, so seating arrangement will be “LM, LN, or MLN”
K and M must never be next to each other around the table. So we can write “NEVER KM” to serve as a reminder.
As per statement 4, If O is sitting next to P, and then O isn’t also next to M. We can get the contrapositive simply by reversing these terms and negating them. If O is sitting next to M, then O isn’t also next to P. “If OP, then no OM” and “If OM, then no OP”
Starting with Statement 1, the final arrangement looks like
K L M N O P
ALWAYS PN
NEVER KM
LM, LM or MLN
If OP then no OM
If OM then no OP
The question says that L sits next to P. We can simply put L and P next to each other. Now we can look for statements that have L or P in them. Statement 1 says that P must sit next to N. L is on one side of P, so N must be on the other. Statement 2 says that L must sit next to M or N or both. Here N is on one side of P with L on the other side, so M must be next to L. K and O are left to occupy the remaining adjacent chairs in between M and N. Statement 3 says that K can’t sit next to M, so K must sit next to N while O sits next to M. The complete ordering is now set, So K and O must sit next to each other.
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Question 4 of 5
4. Question
Presidents of six countries namely K, L, M, N, O and P are seated to negotiate a treaty. There are exactly six chairs evenly spaced around a circular table. The chairs are numbered 1 through 6, with successively numbered chairs next to each other and chair number 1 next to chair number 6. Each chair is occupied by exactly one of the representatives.
P sits immediately next to N.
L sits immediately next to M, N, or both.
K does not sit immediately next to M and
If O sits immediately next to P, O does not sit immediately next to M.
If K sits directly between L and P, then M must sit directly between
Correct
Solution (b)
We can put K between L and P. Now look for statements with K, L, or P. statement 1 says that P and N must always sit next to each other. K is next to P on one side, so N must be on the other side of P. New sketch clearly shows that L and N aren’t next to each other, which means it’s time to enact statement 2: L must have M beside her. Only one entity and one slot remain, so O will fill in the chair between M and N. So the new arrangement will be
It is clear that that M sits between L and O.
Incorrect
Solution (b)
We can put K between L and P. Now look for statements with K, L, or P. statement 1 says that P and N must always sit next to each other. K is next to P on one side, so N must be on the other side of P. New sketch clearly shows that L and N aren’t next to each other, which means it’s time to enact statement 2: L must have M beside her. Only one entity and one slot remain, so O will fill in the chair between M and N. So the new arrangement will be
It is clear that that M sits between L and O.
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Question 5 of 5
5. Question
Presidents of six countries namely K, L, M, N, O and P are seated to negotiate a treaty. There are exactly six chairs evenly spaced around a circular table. The chairs are numbered 1 through 6, with successively numbered chairs next to each other and chair number 1 next to chair number 6. Each chair is occupied by exactly one of the representatives.
P sits immediately next to N.
L sits immediately next to M, N, or both.
K does not sit immediately next to M and
If O sits immediately next to P, O does not sit immediately next to M.
If N sits immediately next to M, then K can sit directly between
Correct
Solution (d)
N is next to M. M is on one side of N, so P must be on the other. Now we are used to placing L next to M and/or N. There’s no open chair next to N, so L must go next to M. O and K are left to fill in the two chairs between P and L, and this time nothing forbids either of these people from taking either of the remaining chairs. So the new arrangement will be
Depending on where K and O sit, K can either sit between P and O or O and L.
Incorrect
Solution (d)
N is next to M. M is on one side of N, so P must be on the other. Now we are used to placing L next to M and/or N. There’s no open chair next to N, so L must go next to M. O and K are left to fill in the two chairs between P and L, and this time nothing forbids either of these people from taking either of the remaining chairs. So the new arrangement will be
Depending on where K and O sit, K can either sit between P and O or O and L.
