1. Find the sum of the first 91 even numbers?
A) 8235 B) 8372 C) 8575 D) 8976
Sol: Sum of first 'n' even numbers = n(n +1)
sum of first 91 even numbers
= 91(91 + 1)
= 91 × 92 ⇒ 8372
Ans: B
2. The sum of 5 consecutive even numbers A, B, C, D and E is 220. What is the product of A and E?
A) 1920 B) 1650 C) 1230 D) 2120
Sol: Let A be x
A = x
B = x + 2
C = x + 4
D = x + 6
E = x + 8
x + x + 2 + x + 4 + x + 6 + x + 8 = 220
5x + 20 = 220
5x = 200
x = 40
A = x = 40; B = x + 8 = 48
A × B = 40 × 48 = 1920
Ans: A
3. A number divided by 368 gives 13 as remainder. If the same number is divided by 8, the remainder will be:
A) 5 B) 4 C) 9 D) 0
4. What is the smallest number by which 18144 can be divided to make it a perfect cube?
A) 81 B) 93 C) 84 D) 87
Ans: D
6. Find the maximum number of girls, among whom 2520 bags and 2970 eyeliners can be distributed in such a way that each girl gets the same number of bags and eyeliners.
A) 90 B) 110 C) 120 D) 80
7. K, L and M begin to jog around the stadium. They complete their revolutions in 66 seconds. 154 seconds and 176 seconds respectively. After how many seconds will they be together at the starting point ?
A) 3775 B) 3696 C) 3576 D) 3946
8. By how much is four - seventh of 427 greater than three-sixteenth of 144?
A) 205 B) 232 C) 245 D) 217
9. Three different containers contain different quantities of a mixture of milk and water. whose measurements are 585 kg, 663 kg and 741 kg. What biggest measure be there to measure all the different quantities exactly?
A) 37 B) 43 C) 39 D) 45
11. Find the remainder when 49 × 28 × 21 × 54 is divided by 9.
A) 4 B) 3 C) 0 D) 5
Since ‘54’ perfectly gets divided with a Remainder will be zero
Ans: C
12. Out of the three numbers, the ratio between the first and the second number is 3 : 5 and the ratio between the second and the third number is 6 : 7. If the difference between the first and the third number is 850, find the sum of all the numbers.
A) 4235 B) 4097 C) 4360 D) 4150
13. Find the greatest number which on dividing 1684 and 2903 leaves remainders 10 and 5 respectively.
A) 23 B) 11 C) 18 D) 15
14. Find the largest number of four digits exactly divisible by 11, 14, 15, 20.
A) 9240 B) 9860 C) 9560 D) 9570
Sol: The largest four digit number is 9999 Required number must be divisible by LCM
15. Find the least number which when divided by 12, 25, 33 and 40 leaves remainders 6, 19, 27 and 34 respectively.
A) 12674 B) 13194 C) 13674 D) 13545
16. Three sets of Biology, Physics and History books containing 126, 144, 198 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. The total number of stacks will be:
A) 26 B) 32 C) 22 D) 16
