Numbers problems
- 1. A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?
Options- A. 21
- B. 11
- C. 17
- D. 31 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 31
Explanation:
Let y be the total number of loaves
a be the remaining loaves after 1st thief
b be the remaining loaves after 2nd thief
and c, d..so on after 3 and 4 th
e = 0 be the remaining loaves after 5th thief
a = y - (y/2 + 1/2)
= y/2 - 1/2
b = a - (a/2 + 1/2)
= a/2 - 1/2
c = b - (b/2 + 1/2)
= b/2 - 1/2
d = c - (c/2 + 1/2)
= c/2 - 1/2
e = d - (d/2 + 1/2)
= d/2 - 1/2
we know that, e = 0,
thus by substitution, we get
d = 1
c = 3
b = 7
a = 15
y = 31
Therefore total number of bread loaves in bakery was 31.
- 2. 25 divided by 7
Options- A. 3.571
- B. 35.71
- C. 0.351
- D. 0.0357 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 3.571
Explanation:
Here we have 25 divided by 7.
25 will not go directly in 7
Hence, we get the result in decimals.
25/7 = 3.571.
- 3. K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ?
Options- A. L / (k-3)
- B. k / (L-3)
- C. 2K / 3L-K
- D. 3L / K(K-3) Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 3L / K(K-3)
Explanation:
Intial contribution = L/K
After 3 men drop, then contribution =L/K-3
The amount more to pay in contribution =
=
- 4. From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ? 519 328 746 495 837
Options- A. 146
- B. 203
- C. 345
- D. 96 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 146
Explanation:
From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?
Now arranging the given numbers in descending order.
837 746 519 495 328
519 - 746/2 = 519 - 373 = 146.
- 5. There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?
Options- A. 121
- B. 943
- C. 462
- D. None Also asked in: Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 462
Explanation:
Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)
and 121 is not divisible by 2
The answer is 462.
- 6. What will come in place of the question mark in the series below? 7, 4.5, 5.5, 12, 49, ?
Options- A. 393
- B. 396
- C. 354
- D. 367 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 393
Explanation:
Ans.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393
- 7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Options- A. 10 & 12
- B. 10 & 18
- C. 12 & -18
- D. -12 & 18 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: -12 & 18
Explanation:
Given, difference of the squares of two numbers is 180.
= k2 - l2 - 180
Also, square of the smaller number is 8 times the larger.
= l2 = 8k
Thus, k2 - 8a - 180 = 0
k2 ? 18k + 10k - 180 = 0
? k(k - 18) + 10(k ? 18) = 0
= (k + 10)(k ? 18) = 0
? k = -10, 18
Thus, the other number is
324 - 180 = l2
? Numbers are 12, 18 or -12, 18.
- 8. Direction: What should come in the place of question mark (?) in the following number series? 9, 11, 16, 26, ?, 69
Options- A. 31
- B. 38
- C. 43
- D. 45 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 43
Explanation:
Double Difference pattern is followed in the above series. +2, +5, + 10, +17, +26
- 9. Direction: What should come in the place of question mark (?) in the following number series? 2, 3, 6, 15, 45, ?
Options- A. 90
- B. 135
- C. 157.5
- D. 200 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 157.5
Explanation:
The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5
- 10. Direction: What should come in the place of question mark (?) in the following number series? 3, 4, 10, 33, 136, ?
Options- A. 150
- B. 298
- C. 463
- D. 572 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer:
Explanation:
The pattern followed is *1 + 1, *2 +2 , *3 + 3 , *4 + 4 , *5 + 5
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