1.
If the price of an item is decreased by 10% and then increased by 10%, the net effect on the price of the item is:
Correct Answer
B. 1% decrease
Explanation
When the price of an item is decreased by 10%, it means that the price is reduced by 10% of its original value. However, when the price is increased by 10% after the decrease, it means that the price is increased by 10% of the reduced value. Since increasing and then decreasing by the same percentage does not result in the original value, the net effect is a decrease. In this case, the net effect is a 1% decrease in the price of the item.
2.
A dishonest shopkeeper sells his goods at the cost price but packs only 600 grams for every 900 grams bag. What is his profit percentage?
Correct Answer
C. 50
Explanation
The shopkeeper is selling goods at the cost price, but he is only packing 600 grams in a 900 grams bag. This means that he is effectively selling only 2/3rd of the actual quantity. To calculate the profit percentage, we need to find the difference between the cost price and the selling price, divided by the cost price and multiplied by 100. Since the selling price is the same as the cost price, the profit percentage is 1/3, which is equal to 33.33%. Therefore, the answer is 33.33.
3.
A man sells 2 watches for Rs.3200 each. On one he gains 50% and on others, he lost 50%. Find his gain or loss percentage on the whole transaction?
Correct Answer
A. 25% loss
Explanation
The man sells 2 watches for Rs.3200 each. On one watch, he gains 50%, which means he sells it for Rs.3200 + 50% of Rs.3200 = Rs.4800. On the other watch, he loses 50%, which means he sells it for Rs.3200 - 50% of Rs.3200 = Rs.1600. In total, he sells the watches for Rs.4800 + Rs.1600 = Rs.6400. However, his total cost for the watches is Rs.3200 + Rs.3200 = Rs.6400. Therefore, he neither gains nor loses any money, resulting in a 0% gain or loss. Since the answer given is a 25% loss, it is incorrect.
4.
The length of a rectangle decreases by 20%. Find the percentage increase the length of the rectangle if the area remains constant?
Correct Answer
B. 25%
Explanation
When the length of a rectangle decreases by 20%, the width must increase by the same percentage in order to maintain the same area. Let's assume the original length is 100 units and the original width is 10 units, resulting in an area of 1000 square units. After the length decreases by 20% to 80 units, the width must increase by 25% (20 units) to 30 units in order to keep the area constant. Therefore, the length of the rectangle increases by 25%, which is the correct answer.
5.
One morning Megha and Sonam were talking to each other in a park. They were standing face to face. If Sonam's shadow fell exactly to the right of Megha, then in which direction was Megha facing?
Correct Answer
B. South
Explanation
If Sonam's shadow fell exactly to the right of Megha, it means that the sun was shining from the left side of Megha. In order for a shadow to fall to the right, the person casting the shadow must be facing south. Therefore, Megha was facing South.
6.
A lady travels 5 km towards south, then 4 km towards the east, then 8 km towards the north and then 2 km towards west. In which direction is she from her starting point?
Correct Answer
A. North-East
Explanation
The lady first travels 5 km towards the south, then 4 km towards the east, then 8 km towards the north, and finally 2 km towards the west. If we draw a diagram, we can see that she has moved 1 km to the east (4 km east - 2 km west), and 3 km to the north (8 km north - 5 km south). Therefore, she is located in the North-East direction from her starting point.
7.
A man is facing North. He turns 270° in the anticlockwise direction and then 45° in the clockwise direction and then another 135° in the anticlockwise direction. Which direction is he facing now?
Correct Answer
C. North
Explanation
The man initially faces North. When he turns 270° in the anticlockwise direction, he ends up facing West. Then, when he turns 45° in the clockwise direction, he adjusts his position slightly towards the North-West. Finally, when he turns another 135° in the anticlockwise direction, he adjusts his position further towards the North. Therefore, the man is facing North now.
8.
Length, Breadth, and Height of a cuboid are in the ratio 1:3:7. The volume of the cuboid is 27 m^{3}. If the length is doubled and Breadth & Height are halved, then what is the change in the volume of the cuboid?
Correct Answer
D. -50%
9.
B has a sister A. B is the daughter of C. C's father is P. How is A related to P?
Correct Answer
A. Grand daughter
Explanation
A is the sister of B, who is the daughter of C. C's father is P. Therefore, A is the granddaughter of P.
10.
A man marks up his goods by 25%. If he still incurs a loss of 20%, what percentage discount has he given to his customers?
Correct Answer
B. 36%
Explanation
If the man marks up his goods by 25% and still incurs a loss of 20%, it means that the selling price is 20% less than the marked up price. To find the percentage discount, we can calculate the difference between the marked up price and the selling price as a percentage of the marked up price. So, the percentage discount given to customers would be 20% / 25% = 80% of the marked up price. This is equivalent to a discount of 100% - 80% = 20%. Therefore, the man has given a discount of 20% to his customers, which is equal to 36% of the original price.
11.
Pointing to a girl in the photograph, Arun said, "Her mother's brother is the only son of my mother's father." How is the girl's mother related to Arun?
Correct Answer
E. Mother or Aunt
Explanation
Arun is saying that the girl's mother's brother is the only son of his mother's father. This means that the girl's mother's brother is Arun's uncle. Since the girl's mother is the sister of Arun's uncle, she can either be Arun's mother or his aunt.
12.
Use the relations defined below and answer the question that follows.
A + B means A is the mother of B
A – B means A is the sister of B
A × B means A is the father of B
A ÷ B means A is the son of B
A = B means A is the brother of B
A ≠ B means A is the daughter of B
Question: Which of the following means P is the aunt of Q?
Correct Answer
E. P– R + Q
Explanation
P– R + Q means P is the sister of R and R is the mother of Q. Therefore, P is the aunt of Q.