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May 25, 2021 - CSAT Quiz
1. The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?
2. There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always 27. How many such maximum 2-digit numbers are there?
(a) 3
(b) 4
(c) 5
(d) None of the above
3. In a group of six women, there are four tennis players, four postgraduates in Sociology, one postgraduate in Commerce and three bank employees. Vimala and Kamla are the bank employees while Amala and Komala are unemployed. Komala and Nirmala are among the tennis players. Amala, Kamla, Komala and Nirmala are postgraduates in Sociology of whom two are bank employees. If Shyamala is a postgraduate in Commerce, who among the following is both a tennis player and a bank employee?
(a) Amala
(b) Komala
(c) Nirmala
(d) Shyamala
4. There are three pillars X Y and Z of different heights. Three spiders A B and C start to climb on these pillars simultaneously. In one chance A climbs on X by 6 cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars what is the height of the shortest pillar?
(a) 161 cm
(b) 163 cm
(c) 182 cm
(d) 184 cm
5. Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal’s position if he agreed?
(a) Neither loss nor gain
(b) Loss 1%
(c) Gain 1%
(d) Gain 0.5%
Answers
1 – (c)
The average rainfall in six days = 0.5 inch.
Hence, total rainfall in six days = 0.5 × 6 = 3 inch
The average rainfall in a city for the first four days = 0.4 inch
So, total rainfall in these four days = 0.4 × 4 = 1.6 inch
Hence, rainfall in the last two days = 3 – 1.6 = 1.4 inch
Now, it’s given that the rainfall on the last two days was in the ratio of 4:3.
Hence, rainfall on the fifth day = 1.4 × [4/(4 + 3)] = 1.4 × (4/7) = 0.8 inch
2 – (d)
(a) 0.60 inch
(b) 0.70 inch
(c) 0.80 inch
(d) 0.90 inch
The difference when reversed is 27.
So the digits will have a difference of 27/9 or 3.
So 14,25,36,47,58,69 are the possible pairs of digits.
The numbers are 41,52,63,74,85,96. Or total 6 pairs.
3 – (c) 4 – (b) A = 39 × 5 + 1 × 6 = 201 B = 39 × 4 + 1 × 7 = 163 C = 39 × 4.5 + 1 × 6.5 = 182 Hence, the correct option is (b). 5 – (c) Suppose Gopal got the cell phone for Rs. 100/-. He sold it to Ram at 10% profit i.e. he sold it to Ram for Rs. 110/-. Now Ram wants to sell it back to Gopal at 10% loss i.e. only for 90% of the amount for which is got it. Thus he will sell it to Gopal for Rs. 0.9 × 110 = Rs. 99/- Thus Gopal makes a profit of Rs. 1 over an initial investment of Rs. 100/- Thus the answer is (c) Gain 1%