A train moving at 108 km/hr crosses a platform in 30 seconds. Then it crosses a man running at 12 km/hr in the same direction to train in 9 seconds. What is the length of train and platform in m?
Two trains are moving towards each other with speeds 50 km/hr and 55 km/hr from different stations R and S. While they meet, the second train from station S has covered 20 km more distance than the first train which starts from station R. What is the distance between the two stations?
Distances are proportional to speeds. Ratio $= 50:55 = 10:11$ Difference $= 1$ part $= 20$ km Total distance $= 21 imes 20 = 420$ km Hence, the distance is 420 km.
Anish and Bala can do a work in 8 days, Bala and Cynthia can do the same work in 12 days. Anish, Bala and Cynthia finish it together in 6 days. How many days A and C will together do it?
Reena and Shaloo are partners in a business. Reena invests Rs.35,000 for 8 months and Shaloo invests Rs.42,000 for 10 months. Out of profit of Rs.31,570, Reena’s share is
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profit at the end of the year is divided equally?
A, B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After 4 months, A increases his share by 50%. If the total profit at the end of one year is Rs.21,600 then B’s share is
Find the maximum number of students among whom 1001 pens and 910 pencils can be distributed such that each student gets the same number of pens and same number of pencils
A trader mixes 26 kg of rice at Rs.20 per kg with 30 kg of rice of other variety at Rs.36 per kg and sells the mixture at Rs.30 per kg. His profit percent is
Tarun got 30% concession on the labelled price of an article and sold it for Rs.8,750 with 25% profit on the price he bought. What was the labelled price?
Two pipes can fill a cistern in 14 hour and 16 hour respectively. The pipes are opened simultaneously and due to leakage it took extra time. When full, in what time will leak empty it?
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Pipes A and B can fill a tank in 5 and 6 hour respectively. Pipe C can empty it in 12 hour. If all three pipes are opened together then the tank will be filled in
Sita, Rita, Gita and Latha are 4 sisters. If Sita is the oldest, Latha is not the oldest, Gita is younger to Rita and Gita is not the youngest, who is the youngest?
Peter sits at seat 102. Maria is 2 seats right of Peter. Tom sits left of Peter. Max sits right of Peter at 106. John is in the middle of Max and Maria. Where is John?
There are six students A, B, C, D, E, F. Each student opts two courses, 1 core and the other elective. (i) D’s elective is Maths and three other students have Maths as core. (ii) E and F have Chemistry as one of their subjects. (iii) F’s core course is Physics, which is elective for both C and E. (iv) Maths is core and English is elective for A. (v) Biology is an elective of only one of them. (vi) The only female student is the one who has Maths as elective and English as core.
There are six students A, B, C, D, E, F. Each student opts two courses, 1 core and the other elective. (i) D’s elective is Maths and three other students have Maths as core. (ii) E and F have Chemistry as one of their subjects. (iii) F’s core course is Physics, which is elective for both C and E. (iv) Maths is core and English is elective for A. (v) Biology is an elective of only one of them. (vi) The only female student is the one who has Maths as elective and English as core.
There are six students A, B, C, D, E, F. Each student opts two courses, 1 core and the other elective. (i) D’s elective is Maths and three other students have Maths as core. (ii) E and F have Chemistry as one of their subjects. (iii) F’s core course is Physics, which is elective for both C and E. (iv) Maths is core and English is elective for A. (v) Biology is an elective of only one of them. (vi) The only female student is the one who has Maths as elective and English as core.
Which of the following has same courses set as that of F?
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?
There are six students A, B, C, D, E, F. Each student opts two courses, 1 core and the other elective. (i) D’s elective is Maths and three other students have Maths as core. (ii) E and F have Chemistry as one of their subjects. (iii) F’s core course is Physics, which is elective for both C and E. (iv) Maths is core and English is elective for A. (v) Biology is an elective of only one of them. (vi) The only female student is the one who has Maths as elective and English as core.
Who among the following have Maths as the core course?
There are six students A, B, C, D, E, F. Each student opts two courses, 1 core and the other elective. (i) D’s elective is Maths and three other students have Maths as core. (ii) E and F have Chemistry as one of their subjects. (iii) F’s core course is Physics, which is elective for both C and E. (iv) Maths is core and English is elective for A. (v) Biology is an elective of only one of them. (vi) The only female student is the one who has Maths as elective and English as core.
A company has four offices numbered 1, 2, 3 and 4. Each office has exactly one computer and one printer. Each of these eight machines was bought in either 2019, 2020 or 2021. (i) In all offices, computers are bought earlier than printers or in the same year. (ii) Computer in office 2 and printer in office 1 are bought in the same year. (iii) Computer in office 3 and printer in office 4 are bought in the same year. (iv) Computer in office 2 and computer in office 3 are not purchased in the same year. (v) Computer in office 1 and printer in office 3 are purchased in the same year 2020.
If the computer in office 3 is bought earlier than the printer in the same office, then
A company has four offices numbered 1, 2, 3 and 4. Each office has exactly one computer and one printer. Each of these eight machines was bought in either 2019, 2020 or 2021. (i) In all offices, computers are bought earlier than printers or in the same year. (ii) Computer in office 2 and printer in office 1 are bought in the same year. (iii) Computer in office 3 and printer in office 4 are bought in the same year. (iv) Computer in office 2 and computer in office 3 are not purchased in the same year. (v) Computer in office 1 and printer in office 3 are purchased in the same year 2020.
If the computer in office 3 is bought earlier than the printer in the same office and printer in office 1 is bought during 2021, then printer in office 2 is bought during
A company has four offices numbered 1, 2, 3 and 4. Each office has exactly one computer and one printer. Each of these eight machines was bought in either 2019, 2020 or 2021. (i) In all offices, computers are bought earlier than printers or in the same year. (ii) Computer in office 2 and printer in office 1 are bought in the same year. (iii) Computer in office 3 and printer in office 4 are bought in the same year. (iv) Computer in office 2 and computer in office 3 are not purchased in the same year. (v) Computer in office 1 and printer in office 3 are purchased in the same year 2020.
If the computer and printer in office 3 are bought in the same year, then
A company has four offices numbered 1, 2, 3 and 4. Each office has exactly one computer and one printer. Each of these eight machines was bought in either 2019, 2020 or 2021. (i) In all offices, computers are bought earlier than printers or in the same year. (ii) Computer in office 2 and printer in office 1 are bought in the same year. (iii) Computer in office 3 and printer in office 4 are bought in the same year. (iv) Computer in office 2 and computer in office 3 are not purchased in the same year. (v) Computer in office 1 and printer in office 3 are purchased in the same year 2020.
If the computer and printer in office 3 are bought in the same year, then the computer in office 4 is bought during
The square boxes in the figures given are
to be painted with different colours such
that no two adjacent boxes (even
diagonally) have same colour. How many
minimum colours do you need in each
case?
Condition: No two adjacent boxes (including diagonally) can have the same colour.
First Figure (cross shape): Due to diagonal touching, 3 colours are not sufficient. Minimum colours required = 4
Second Figure (3×3 grid): Each box touches many others including diagonally, forming a highly connected pattern. At least 4 colours are required to avoid repetition.
Fathers are always a subset of Males, so Fathers must be completely inside Males.
Engineers can be male or female, so the Engineers circle should partly overlap with Males and may also lie partly outside Males. Also, some Fathers can be Engineers.
Since the mirror is placed on line MN, the figure will be reflected vertically downward. So the top part of the figure comes to the bottom, and the bottom part comes to the top, while left and right positions remain unchanged.
After comparing all the options carefully, the correct mirror image is Option 2.