SNAP 10th Dec 2023 Quant Slot 1 (Memory Based) | Previous Year SNAP Paper
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In a decreasing arithmetic progression, the sum of all its terms, except the first term, is equal to -75. The sum of all its terms except the last term is zero and the difference of the 9th term and the 13th term is equal to -20. What is the first term of this series.
- A.
- 40
- B.
35
- C.
- 35
- D.
None of these
Answer: Option B
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Explanation :
Let the sum of all the terms of the series = S.
∴ S = T1 + (-75)
⇒ T1 = S + 75
Similarly, S = 0 + Tn
⇒ Tn = S
T13 - T9 = - 20
⇒ (T1 + 12d) - (T1 + 8d) = - 20
⇒ 4d = - 20
⇒ d = - 5
Now, Tn = T1 + (n - 1)d
⇒ S = (S + 75) + -5(n - 1)
⇒ -75 = -5(n - 1)
⇒ 15 = (n - 1)
⇒ n = 16
Now, S = n/2 × [T1 + Tn]
⇒ S = 16/2 × [S + 75 + S]
⇒ S = 8[2S + 75]
⇒ S = 16S + 8 × 75
⇒ 15S = - 8 × 75
⇒ S = -40
Finally, T1 = S + 75 = - 40 + 75 = 35
Hence, option (b).
Workspace:
Cost price of each item is Rs. 20 while their selling price are Rs. 2, 4, 6 and so on. If minimum profit percentage earned by selling these items is 40%, what is the minimum number of items?
- A.
25
- B.
26
- C.
27
- D.
None of these
Answer: Option C
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Explanation :
Cost price of each item is Rs. 20 while their selling price are Rs. 2, 4, 6 and so on. If minimum profit percentage earned by selling these items is 40%, what is the minimum number of items?
Let the total number of items = n
Total cost priceof these items = 20n
Now, selling price of 1st item is 2, 2nd item is 4, 3rd item is 6 and so on hence, nth item will be sold at 2n.
∴ Selling price of these items = 2 + 4 + 6 + ... + 2n
= 2(1 + 2 + 3 + ... + n)
= n(n + 1)
Since 40% profit is earned
⇒ Total Selling Price = Total Cost Price × 1.4
⇒ n(n + 1) = 20n × 1.4
⇒ (n + 1) = 20 × 1.4
⇒ n + 1 = 28
⇒ n = 27
Hence, option (c).
Workspace:
From each vertex of an equilateral triangle, corners are cut to form a regular hexagon. If area of equilateral triangle is 240, find the area of the hexagon.
- A.
160
- B.
430/3
- C.
500/3
- D.
None of these
Answer: Option A
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Explanation :
Workspace:
If log (1 + xz) = 2A and x, y and z are three consecutive numbers. Find A
- A.
1
- B.
log y
- C.
2 × log y
- D.
None of these
Answer: Option C
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Explanation :
Workspace:
An article is sold for Rs. 17,600 after giving a discount of 12% and 10% profit is earned. Find the profit percent when no discount is given.
- A.
20
- B.
22
- C.
27.5
- D.
25
Answer: Option D
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Explanation :
Workspace:
A speaks truth 6 out of 9 times. B speaks truth 3 out of 6 times. Find the probability that they contradict each other on a certain fact..
- A.
4/5
- B.
1/2
- C.
2/3
- D.
None of these
Answer: Option B
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Explanation :
Workspace:
A mixture contains 3/4th milk and rest is water. The mixture was diluted by removing some part and replacing with water. Final mixture contains equal quantity of milk and water. What fraction of the mixture was replaced.
- A.
1/2
- B.
1/4
- C.
1/5
- D.
1/3
Answer: Option D
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Explanation :
Workspace:
A and B can complete a task by working together for 5 hours per day for 2 days. B and C can complete the same task by working for 5 hours per day for 4 days. C and A can complete the same task by working for 6 hours a day for 2 days. Find the number of days taken by A working alone if he works for 5 hours per day:
- A.
5
- B.
4
- C.
3
- D.
2
Answer: Option C
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Explanation :
Workspace:
A and B have bags full of Rs. 1 coins. Total value of amount is 45. There was a hole in the bag due to which 5 one rupee coins were dropped from each bag. After this product of number of coins in the bag were 124. Find the product of number of coins in the two bags.
- A.
324
- B.
350
- C.
86
- D.
500
Answer: Option A
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Explanation :
Workspace:
In how many ways 7 different chocolates can be distributed to A, B and C such that at least one of them gets exactly 1 chocolate.
- A.
1148
- B.
1356
- C.
1218
- D.
None of these
Answer: Option C
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Explanation :
Workspace:
In how many ways letters of the word MINUTE can be arranged such that vowels occupy odd places.
- A.
360
- B.
36
- C.
120
- D.
None of these
Answer: Option B
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Explanation :
Workspace:
If two types of rice A and B are mixed and sold at Rs. 40 per kg. If they are mixed in the ratio 3 : 2, the profit is 10%, instead if they are mixed in the ratio of 2 : 3, the profit is 5%. Find the ratio of cost price of both types of rice.
- A.
1 : 1
- B.
24 : 19
- C.
19 : 24
- D.
None of these
Answer: Option C
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Explanation :
Workspace:
1240 apples are distributed among men and women such that each man gets 7 apples while each woman gets 12 apples. If there are total 160 men and women, find the number of women?
- A.
24
- B.
36
- C.
60
- D.
100
Answer: Option A
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Explanation :
Workspace:
Three friends Sonu, Monu and Romu play cricket. They scored 342 runs in total. If the ratio of runs scored by Sonu and Monu is 3 : 2 and the ratio of runs scored by Monu and Romu is also 3 : 2, then find the number of runs scored by Romu?
- A.
96
- B.
64
- C.
72
- D.
None of these
Answer: Option C
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Explanation :
Workspace:
Angle of depression of two points (on the same side) 500 meters apart from top of a building are 30° and 75°. Find the height of the building.
- A.
- B.
- C.
- D.
None of these
Answer: Option C
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Explanation :
Workspace:
Four different natural numbers are written in descending order. 1/4th the average of these numbers is 24 less than the largest number. The average of first three numbers is 32. Find the largest number.
- A.
32
- B.
36
- C.
48
- D.
44
Answer: Option A
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Explanation :
Workspace:
There are 3 groups X, Y and Z. Group X has 3 girls and 2 boys, group Y has 3 girls and 4 boys, group Z has 4 girls and 5 boys. An unbiased dice is rolled to choose one of the three groups. If the dice shows 1, group X is chosen. If the dice shows 2 or 3, group Y is chosen. If the dice shows 4 or 5 or 6, group Z is chosen. The dice is rolled a group is chosen. If a girl is chosen, find the probability that it is chosen from group Y?
- A.
63/293
- B.
90/293
- C.
7/90
- D.
None of these
Answer: Option B
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Explanation :
Workspace:
Three flower fields have lengths of 125, 175 and 65 square meters of width 3 meters each. If the farmer wants to grow flower beds of equal area then what is maximum length of each flower bed?
- A.
4
- B.
5
- C.
6
- D.
7
Answer: Option B
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Explanation :
Workspace:
Answer the following questions based on the information given in the table below:
If male population above Education Index for UP is 1.6 lakhs, then find the total population of UP in lakhs (approximately)?
- A.
2.28
- B.
2.96
- C.
3.67
- D.
3.69
Answer: Option A
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Explanation :
Workspace:
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