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21). In the following question three squares A, B and C are given which contain four figures/ numbers related to each other. The figures / numbers in the first two squares are given as examples and bear a certain relationship to each other within the square. This relationship can be established /calculated vertically, horizontally or diagonally. Depending on this relationship between the figures/numbers in the first two squares, find out what should come in place of the question mark in the third square - C.
A). 48
B). 36
C). 24
D). 52
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Correct Answer:
48
\( \Large \ Square \ A => 9 \times 5 = 45 \) ;
\( \Large 180 \times 3 = 540 \)
\( \Large 100 \times 3 = 300 \)
\( \Large \ Square \ C => 2.4 \times 5 = 12 \)
\( \Large ? = \frac{144}{3} = 48 \)
22). In the following question three squares A, B and C are given which contain four figures/ numbers related to each other. The figures / numbers in the first two squares are given as examples and bear a certain relationship to each other within the square. This relationship can be established /calculated vertically, horizontally or diagonally. Depending on this relationship between the figures/numbers in the first two squares, find out what should come in place of the question mark in the third square - C.
A). 4
B). 5
C). 5.5
D). 6.5
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Correct Answer:
5
\( \Large \ Square \ A => 6 \times 8 = 48 \)
\( \Large 12 \times 2 = 24 \)
\( \Large \ Square \ B => 4 \times 8 = 32 \);
\( \Large 8 \times 2 = 16 \)
\( \Large \ Square \ C => 2.5 \times 8 = 20 \)
\( \Large ? = \frac{10}{2} = 5 \)
23). Rachita enters a shop to buy ice creams, cookies and pastries. She has to buy at least 9 units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of 32 items. How many cookies does she buy?
A). Either 12 or 13
B). Either 11 or 12
C). Either 10 or 11
D). Either 9 or 11
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Either 10 or 11
Look:
Ice-creams + Cookies + Pastries = 32
=> 9 + 11 + 12 = 32
or, 9 + 10 + 13 = 32
\( \Large 10 + 11 + 12 \neq 32 \)
24). The fare of a bus is Rs. x for the first five kilometres and Rs. 13 per kilometres thereafter. If a passenger pays Rs. 2,402 for a journey of 187 kilometres, what is the value of X ?
A). Rs. 29
B). Rs. 39
C). Rs. 36
D). Rs. 31
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Correct Answer:
Rs. 36
According to the question.
\( \Large x + 182 \times 13 = 2402 \)
=> x + 2366 = 2402
=> x = 2402 - 2366
x = Rs. 36
25). Varun got a monthly increment of 12 percent of Puja's monthly salary. Puja's monthly salary is Rs. 7800. Varun's monthly salary before increment was Rs. 6400. What amount will he earn in four months after his increment ?
A). Rs. 29344
B). Rs. 29434
C). Rs. 28434
D). Rs. 28344
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Correct Answer:
Rs. 29344
Monthly increase in salary of Varun
\( \Large \frac{7800 \times 12}{100} = Rs. 936 \)
\( \Large \therefore \ New \ monthly \ salary \ of \ Varun = 6400 + 936 \)
\( \Large = Rs. 7336 \)
\( \Large \ Required \ income = 4 \times 7336 = Rs. 29344 \)
26). In a school some sweets were to be distributed among 420 children on the occasion of Teacher's day. But 140 children remained absent on that particular day and hence each child got one sweet extra. How many sweets each child would have got originally ?
A). Cannot be determined
B). 2
C). 5
D). 4
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2
If the number of all sweets be x, then
\( \Large \frac{x}{280} - \frac{x}{420} = 1 \)
=> \( \Large \frac{3x - 2x}{840} = 1 \)
=> x = 840
\( \Large \therefore \ Required \ answer = \frac{840}{420} = 2 \)
27). The cost of 14 keyboards and 8 mouse-pads is Rs. 26,240. What is the cost of 35 keyboards and 20 mouse-pads ?
A). Rs. 65,600
B). Rs. 58,800
C). Rs. 76,550
D). Cannot be determined
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Correct Answer:
Rs. 65,600
Let C.P. of 1 key board = Rs. x
C.P. of 1 mouse pad = Rs. y.
\( \Large \therefore 14x + 8y = 26240 \)
Dividing both sides by 2,
\( \Large 7x + 4y = 13120 \)
Multiplying both sides by 5,
\( \Large 35x + 20y = 65600 \)
28). A boat covers 20 km in 4 hours along the current and 9 km in 3 hours against the current. What is the speed of the current ?
A). 2 kmph
B). 1 kmph
C). 1.5 kmph
D). 1.75 kmph
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Correct Answer:
1 kmph
Rate downstream
= \( \Large \frac{20}{4} = 5 kmph \)
Rate upstream
\( \Large \frac{9}{3} = 3 kmph \)
\( \Large \therefore \) Speed of current
= \( \Large \frac{1}{2} (5 - 3) = 1 kmph \)
29). A pump can fill a tank with water in 2 hours. Because of a leak, it took \( \Large 2 \frac{1}{3} \ hours \) to fill the tank. The leak can drain all the water of the tank in
A). \( \Large 4 \frac{1}{3} \ hours \)
B). 7 hours
C). 8 hours
D). 14 hours
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14 hours
Part of tank emptied in 1 hour by the leak
= \( \Large \frac{1}{2} - \frac{3}{7} = \frac{1}{14} \)
The leak will empty the tank in 14 hours.
30). Pipe A can fill a tank in 30 minutes while pipe B can fill it in 45 minutes. Another pipe C can empty a full tank in 60 minutes. If all three pipes are opened simultaneously, the empty tank will be filled in
A). \( \Large \frac{2}{7} \ hour \)
B). \( \Large \frac{3}{7} \ hour \)
C). \( \Large \frac{4}{7} \ hour \)
D). \( \Large \frac{5}{7} \ hour \)
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\( \Large \frac{3}{7} \ hour \)
Part of tank filled by all three pipes in 1 minute
= \( \Large \frac{1}{30} + \frac{1}{45} - \frac{1}{60} = \frac{6 + 4 - 3}{180} \)
= \( \Large \frac{7}{180} \)
= \( \Large \therefore Time taken = \frac{180}{7} minutes \)
= \( \Large \frac{180}{7 \times 60} = \frac{3}{7} hour \)
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