Quant Test 117
1. How many six-digit numbers can be made by using the first 6 natural numbers such that the digit at the unit’s place is greater than the digit at the
hundred’s place and the number thus formed is a multiple of 4? (Repetition of digits is not allowed.)
96
108
114
78
120
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2. A dice is rolled three times. Find the probability of getting a larger number than previous number each time.
5/54
7/54
11/54
13/54
17/54
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3. For how many values of a natural number ‘n’, the LCM of 66, 88 and ‘n’ is 1212?
1
6
24
25
36
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4. A three-digit natural number ‘a’ when divided by another natural number N gives remainder
4. Another natural number ‘b’ when divided by N gives remainder 3. If ‘b’ is twice of ‘a’
and the remainder when (100a + 11b) is divided by 55 is 23, then find the number of possible values of ‘a’.
20
19
18
17
16
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5. The sum of two numbers (1P1.431)8 and (231.213)8 is (234.820Q125)10. What is the sum of P and Q, where P and Q are single digit numbers?
8
7
5
3
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2
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6. Consider the following system of linear equations, in variables x, y and z, where x, y and z
belong to real numbers.
2x +3y - 2z =0
4x +3y - 3z =0
14x - 6y - 5z =0
Find the number of integral values of z such that –43 <= (2z + y + x) <=15
21
22
23
20
19
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7. Assume the given sum of the series, 7.5 + 15.5 + 10.5 + 13.0 + 13.5 + 10.5....+ x – y + z is
20634, (x, y, z > 0) then what is the value of the expression (2x + 3y + 5z)?
1084
1284
1464
1684
None of these
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8. A point P is randomly chosen at a distance of 5 cm from the cent