Q11. Aasha can do a piece of work in 12 days. Bindu can do this work in 16 days. Aasha started the work alone. After how many days should Bindu join her, so that the work is finished in 9 days?
(a) 2 days
(b) 3 days
(c) 4 days
(d) 5 days
Correct answer: (d)
Explanation:
Asha’s work in 9 days = 9/12 = 3/4. Remaining work = 1/4.
This work was done by Bindu in 1/4 × 16 = 4 days.
∴ Bindu would have joined A after 9 – 4 = 5 days.
Q12. If DJHRSGP is the code for CHENNAI, the code for MOHALI will be:
(a) NQKFPO
(b) NQKEQO
(c) NPIBMJ
(d) ORLGQP
Correct answer: (b)
Explanation:
From the question we can deduce that for CHENNAI, the given code could be obtained by- C+1, H+2, E+3, N+4, N+5, A+6, I+7
Q13. A wholesaler bought two kinds of dry fruits namely A and B. The price of A per kg was thrice that of B per kg. He then sold 8 kg of B at a profit of 10% and 16 kg of A at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of A and 3 kg of B in transit. He then mixed the remaining dry fruits and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price did the wholesaler bought A?
(a) Rs.100 per kg
(b) Rs. 150 per kg
(c) Rs. 96 per kg
(d) Rs. 125 per kg
Correct answer: (c)
Explanation:
Let the prices for wholesaler for A kind of dry fruits and B kind of dry fruits be Rs. 3x and Rs. x respectively.
He sold 8 kgs of B to the shopkeeper at 10% Profit. Cost price of the B kind of dry fruits bought by the shopkeeper = Rs. 1.1x per kg
Similarly, he sold 16 kgs of A kind of dry fruits to the shopkeeper at 20% Profit.
Cost price of the A kind of dry fruits bought by the shopkeeper = 1.2 × 3x = Rs. 3.6x per kg
Overall Cost Price = Rs. (3.6x × 16 + 1.1x × 8)
He lost 5 kgs of A kind of dry fruits and 3 kgs of B kind of dry fruits in the transit.
Remaining quantity of A kind of dry fruits = 16 – 5 = 11 kgs
Remaining quantity of B kind of dry fruits = 8 – 3 = 5 kgs
He mixes them together and sells them at Rs. 166 per kg, making an overall profit of 25%
Overall Selling Price = Rs. 16 × 166
So, Selling Price = (125/100) × Cost Price = (5/4) × Cost Price
or, (5/4) × Overall Cost Price = Overall Selling Price
or, (3.6x × 16 + 1.1x × 8) × (5/4) = 16 × 166
Solving above equation, x = (16 × 166)/83 = Rs. 32
Cost price per Kg of A kind of dry fruits for Wholesaler = Rs. 3x = 3 × 32 = Rs. 96 per kg
Q14. Kamlesh’s birthday is on 20th January and his son Kalpesh’s birthday is on 29th September. This year i.e. in 2020, Kamlesh had his birthday party on 22nd January, which was a Sunday. On what day was Kalpesh’s birthday?
(a) Saturday
(b) Monday
(c) Tuesday
(d) Wednesday
Correct answer: (a)
Explanation:
2020 was a leap year.
Odd days in completed months between January and September = 1 + 3 + 2 + 3 + 2 + 3 + 3 = 17 i.e. 3 odd days
Odd days in September up to 29th September = 1
Odd days in January will be for the duration 23rd Jan to 31st Jan i.e. 9 days or 2 odd days.
∴ Total odd days = 3 + 1 + 2 = 6
Since there are 6 odd days, 29th September will be 6 days after Sunday i.e. on a Saturday. Hence, option a.
Q15. What is the number in the unit place in (729)^59?
(a) 9
(b) 7
(c) 3
(d) 1
Correct answer: (a)
Explanation:
When 729 is multiplied twice, the number in the unit place is 1. In other words, if 729 is multiplied an even number of times, the number in the unit place will be 1. Thus, the number in the unit place in (729)58 is 1.
So, (729)59 = (728)58 X (729) = (…….1) X(729) = 9 in the unit place.
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