Class 10 NTSE Delhi - Question Papers MAT 2019-20

 Page 1


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2019 – 20)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. What is sum of all positive factors of 256. 
 1. 526 2. 511 
 3.  625 4. 562 
 
2. Value of 
? ?
X X 1 1
X1 X XX1
?
? ?
? ?
 will be? 
 1. 
2
X 2. 1 
 3. X 4. 2 
 
3. Sum of sequence 5+6+7+8+…+19 will be? 
 1. 180 2. 175 
 3. 185 4. 190 
 
4. If three Numbers are in Ratio 
1 2 3
: :
2 3 4
, Difference between largest and smallest is 27 then 
numbers are 
 1. 54, 72, 81 2. 24, 45, 51 
 3. 64, 72, 91 4. 54, 65, 81 
 
5. Which of the following number will completely divide the value of 
? ?
25 26 27 28
3333 ??? ? 
 1. 35 2. 40 
 3. 50 4. 45 
 
6. Rohan’s score on the mid term exam was 75, and his score on the final exam was 90. If the 
weight of the final exam is twice that of mid term, what is Rohan’s final score in the course? 
 1. 82.5 2. 80 
 3. 85.5 4. 85 
 
7. A grandmother, mother and daughter wish to arrange themselves in a row in order to be 
photographed. How many different ways can they arrange themselves? 
 1. 6 2. 3 
 3. 18 4. 9 
 
8. At the time of marriage a man was 6 year older than his wife, but 12 year after the marriage 
his age was 
6
5
 times the age of his wife. Their ages (in years) at the time of the marriage 
were? 
 1. 26, 20 2. 24, 18 
 3. 27, 21 4. 30, 24 
 
9. If we throw a dice, what is the probability of obtaining a result that is less than 4. If we know 
that the result obtained was an even number? 
 1. 
1
2
 2. 
2
3
 
Page 2


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2019 – 20)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. What is sum of all positive factors of 256. 
 1. 526 2. 511 
 3.  625 4. 562 
 
2. Value of 
? ?
X X 1 1
X1 X XX1
?
? ?
? ?
 will be? 
 1. 
2
X 2. 1 
 3. X 4. 2 
 
3. Sum of sequence 5+6+7+8+…+19 will be? 
 1. 180 2. 175 
 3. 185 4. 190 
 
4. If three Numbers are in Ratio 
1 2 3
: :
2 3 4
, Difference between largest and smallest is 27 then 
numbers are 
 1. 54, 72, 81 2. 24, 45, 51 
 3. 64, 72, 91 4. 54, 65, 81 
 
5. Which of the following number will completely divide the value of 
? ?
25 26 27 28
3333 ??? ? 
 1. 35 2. 40 
 3. 50 4. 45 
 
6. Rohan’s score on the mid term exam was 75, and his score on the final exam was 90. If the 
weight of the final exam is twice that of mid term, what is Rohan’s final score in the course? 
 1. 82.5 2. 80 
 3. 85.5 4. 85 
 
7. A grandmother, mother and daughter wish to arrange themselves in a row in order to be 
photographed. How many different ways can they arrange themselves? 
 1. 6 2. 3 
 3. 18 4. 9 
 
8. At the time of marriage a man was 6 year older than his wife, but 12 year after the marriage 
his age was 
6
5
 times the age of his wife. Their ages (in years) at the time of the marriage 
were? 
 1. 26, 20 2. 24, 18 
 3. 27, 21 4. 30, 24 
 
9. If we throw a dice, what is the probability of obtaining a result that is less than 4. If we know 
that the result obtained was an even number? 
 1. 
1
2
 2. 
2
3
 
 
  
 
 3. 
1
3
 4. 
4
5
 
 
10. There are 10 balls in a box, 5 white and 5 black. Two balls are removed randomly from the 
box, one after another. The first ball that is removed is black and it is not returned to the box. 
What is the probability that the second ball that is removed is also black? 
 1. 
5
9
 2. 
4
9
 
 3. 
3
9
 4. 
1
2
 
 
11. Some equations are based on the basis of a certain system. Using the same pattern solve 
the unsolved equation. If 10 3 12,12 4 13,14 5 14 ?? ? ? ?? what is 16 – 6 = ? 
 1. 10 2. 15 
 3. 16 4. 18 
 
12. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. 
For how many minutes does the bus stop per hour? 
 1. 9 2. 10 
 3. 12 4. 20 
 
13. If 40% of 1620 + 30% of 960 = ?% of 5200 
 1. 12 2. 24 
 3. 5 4. 18 
 
14. In a row, 25 trees are planted at equal distance from each other. The distance between 1
st
 
and 25
th
 tree is 30m. What is the distance between 3
rd
 and 15
th
 tree? 
 1.8m 2. 15m 
 3. 16m 4. 18m 
 
15. In a school, the bell is rung once after each half an hour. The school starts at 8:00 AM and 
close at 1:30PM. The bell is rung 3 times continuously, at the time beginning, at the time of 
lunch break at 10:00 and 10:30 AM and at the end. How many times is the bell rung every 
day? 
 1. 21 2. 22 
 3. 19  4. 20 
 
16. If 80% of A = 50% of B and B = x% of A then value of x will be? 
 1. 145 2. 170 
 3. 150 4. 160 
 
17. The mean of five consecutive number is 7. Which is the highest number? 
 1. 10 2. 7 
 3. 9 4. 8 
 
18. Find the value of 
3 3 3
xyz 3xyz ? ? ? . If xyz 15 ? ? ? and 
2 2 2
x y z 51 ? ? ? 
 1. 540 2. –540 
 3. –225 4. 765 
 
19. If area of any triangle is 384 cm
2
 and its sides are in Ratio 3:4:5 then perimeter of triangle 
will be? 
 1. 60cm 2. 48cm 
 3. 64cm 4. 96cm 
 
Page 3


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2019 – 20)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. What is sum of all positive factors of 256. 
 1. 526 2. 511 
 3.  625 4. 562 
 
2. Value of 
? ?
X X 1 1
X1 X XX1
?
? ?
? ?
 will be? 
 1. 
2
X 2. 1 
 3. X 4. 2 
 
3. Sum of sequence 5+6+7+8+…+19 will be? 
 1. 180 2. 175 
 3. 185 4. 190 
 
4. If three Numbers are in Ratio 
1 2 3
: :
2 3 4
, Difference between largest and smallest is 27 then 
numbers are 
 1. 54, 72, 81 2. 24, 45, 51 
 3. 64, 72, 91 4. 54, 65, 81 
 
5. Which of the following number will completely divide the value of 
? ?
25 26 27 28
3333 ??? ? 
 1. 35 2. 40 
 3. 50 4. 45 
 
6. Rohan’s score on the mid term exam was 75, and his score on the final exam was 90. If the 
weight of the final exam is twice that of mid term, what is Rohan’s final score in the course? 
 1. 82.5 2. 80 
 3. 85.5 4. 85 
 
7. A grandmother, mother and daughter wish to arrange themselves in a row in order to be 
photographed. How many different ways can they arrange themselves? 
 1. 6 2. 3 
 3. 18 4. 9 
 
8. At the time of marriage a man was 6 year older than his wife, but 12 year after the marriage 
his age was 
6
5
 times the age of his wife. Their ages (in years) at the time of the marriage 
were? 
 1. 26, 20 2. 24, 18 
 3. 27, 21 4. 30, 24 
 
9. If we throw a dice, what is the probability of obtaining a result that is less than 4. If we know 
that the result obtained was an even number? 
 1. 
1
2
 2. 
2
3
 
 
  
 
 3. 
1
3
 4. 
4
5
 
 
10. There are 10 balls in a box, 5 white and 5 black. Two balls are removed randomly from the 
box, one after another. The first ball that is removed is black and it is not returned to the box. 
What is the probability that the second ball that is removed is also black? 
 1. 
5
9
 2. 
4
9
 
 3. 
3
9
 4. 
1
2
 
 
11. Some equations are based on the basis of a certain system. Using the same pattern solve 
the unsolved equation. If 10 3 12,12 4 13,14 5 14 ?? ? ? ?? what is 16 – 6 = ? 
 1. 10 2. 15 
 3. 16 4. 18 
 
12. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. 
For how many minutes does the bus stop per hour? 
 1. 9 2. 10 
 3. 12 4. 20 
 
13. If 40% of 1620 + 30% of 960 = ?% of 5200 
 1. 12 2. 24 
 3. 5 4. 18 
 
14. In a row, 25 trees are planted at equal distance from each other. The distance between 1
st
 
and 25
th
 tree is 30m. What is the distance between 3
rd
 and 15
th
 tree? 
 1.8m 2. 15m 
 3. 16m 4. 18m 
 
15. In a school, the bell is rung once after each half an hour. The school starts at 8:00 AM and 
close at 1:30PM. The bell is rung 3 times continuously, at the time beginning, at the time of 
lunch break at 10:00 and 10:30 AM and at the end. How many times is the bell rung every 
day? 
 1. 21 2. 22 
 3. 19  4. 20 
 
16. If 80% of A = 50% of B and B = x% of A then value of x will be? 
 1. 145 2. 170 
 3. 150 4. 160 
 
17. The mean of five consecutive number is 7. Which is the highest number? 
 1. 10 2. 7 
 3. 9 4. 8 
 
18. Find the value of 
3 3 3
xyz 3xyz ? ? ? . If xyz 15 ? ? ? and 
2 2 2
x y z 51 ? ? ? 
 1. 540 2. –540 
 3. –225 4. 765 
 
19. If area of any triangle is 384 cm
2
 and its sides are in Ratio 3:4:5 then perimeter of triangle 
will be? 
 1. 60cm 2. 48cm 
 3. 64cm 4. 96cm 
 
 
  
 
20. 
13
48
 is equal to  
 1. 
1
1
3
1
1
16
?
?
 2. 
1
1
3
1
1
1
1
8
?
?
?
 
 3. 
1
1
3
1
1
1
2
4
?
?
?
 4. 
1
1
3
1
1
8
?
?
  
 
21. If for any two numbers a and b, the operation $ is defined as follow: 
 ? ? a$b a a b ? ? ? then ? ? 2$0 S1? 
 1. 12 2. 10 
 3. 20 4. 4 
 
22. The accompanying figure shows a right + trapezoid 
? ?
AD BC Based on this information 
and the information in the figure, the area of the trapezoid (in m
2
) is 
 
 
 1. 150 2. 120 
 3. 108 4. 96 
 
Directions (23 to 25) find the missing numbers in the number series. 
 
23. 4, 8, 28, ?, 244 
 1. 69 2. 75 
 3. 80 4. 90 
 
24. 4, 7, 12, 19, 28, 39, ? 
 1. 48 2. 52 
 3. 55 4. 58 
 
25. 10080, 1680, ?, 84, 28, 14 
 1. 840 2. 168 
 3. 108 4. 336 
 
26. The compound interest on Rs. 30, 000 at 7% per annum is Rs. 4, 347. The period (in year) is 
 1. 1 2. 2 
 3. 3 4. 3.5 
 
27. Among the numbers 
3 5 4
2, 9, 16, 32 the greatest one is:  
 1. 2 2. 
3
9 
 3. 
4
16 4.
5
32 
Page 4


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2019 – 20)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. What is sum of all positive factors of 256. 
 1. 526 2. 511 
 3.  625 4. 562 
 
2. Value of 
? ?
X X 1 1
X1 X XX1
?
? ?
? ?
 will be? 
 1. 
2
X 2. 1 
 3. X 4. 2 
 
3. Sum of sequence 5+6+7+8+…+19 will be? 
 1. 180 2. 175 
 3. 185 4. 190 
 
4. If three Numbers are in Ratio 
1 2 3
: :
2 3 4
, Difference between largest and smallest is 27 then 
numbers are 
 1. 54, 72, 81 2. 24, 45, 51 
 3. 64, 72, 91 4. 54, 65, 81 
 
5. Which of the following number will completely divide the value of 
? ?
25 26 27 28
3333 ??? ? 
 1. 35 2. 40 
 3. 50 4. 45 
 
6. Rohan’s score on the mid term exam was 75, and his score on the final exam was 90. If the 
weight of the final exam is twice that of mid term, what is Rohan’s final score in the course? 
 1. 82.5 2. 80 
 3. 85.5 4. 85 
 
7. A grandmother, mother and daughter wish to arrange themselves in a row in order to be 
photographed. How many different ways can they arrange themselves? 
 1. 6 2. 3 
 3. 18 4. 9 
 
8. At the time of marriage a man was 6 year older than his wife, but 12 year after the marriage 
his age was 
6
5
 times the age of his wife. Their ages (in years) at the time of the marriage 
were? 
 1. 26, 20 2. 24, 18 
 3. 27, 21 4. 30, 24 
 
9. If we throw a dice, what is the probability of obtaining a result that is less than 4. If we know 
that the result obtained was an even number? 
 1. 
1
2
 2. 
2
3
 
 
  
 
 3. 
1
3
 4. 
4
5
 
 
10. There are 10 balls in a box, 5 white and 5 black. Two balls are removed randomly from the 
box, one after another. The first ball that is removed is black and it is not returned to the box. 
What is the probability that the second ball that is removed is also black? 
 1. 
5
9
 2. 
4
9
 
 3. 
3
9
 4. 
1
2
 
 
11. Some equations are based on the basis of a certain system. Using the same pattern solve 
the unsolved equation. If 10 3 12,12 4 13,14 5 14 ?? ? ? ?? what is 16 – 6 = ? 
 1. 10 2. 15 
 3. 16 4. 18 
 
12. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. 
For how many minutes does the bus stop per hour? 
 1. 9 2. 10 
 3. 12 4. 20 
 
13. If 40% of 1620 + 30% of 960 = ?% of 5200 
 1. 12 2. 24 
 3. 5 4. 18 
 
14. In a row, 25 trees are planted at equal distance from each other. The distance between 1
st
 
and 25
th
 tree is 30m. What is the distance between 3
rd
 and 15
th
 tree? 
 1.8m 2. 15m 
 3. 16m 4. 18m 
 
15. In a school, the bell is rung once after each half an hour. The school starts at 8:00 AM and 
close at 1:30PM. The bell is rung 3 times continuously, at the time beginning, at the time of 
lunch break at 10:00 and 10:30 AM and at the end. How many times is the bell rung every 
day? 
 1. 21 2. 22 
 3. 19  4. 20 
 
16. If 80% of A = 50% of B and B = x% of A then value of x will be? 
 1. 145 2. 170 
 3. 150 4. 160 
 
17. The mean of five consecutive number is 7. Which is the highest number? 
 1. 10 2. 7 
 3. 9 4. 8 
 
18. Find the value of 
3 3 3
xyz 3xyz ? ? ? . If xyz 15 ? ? ? and 
2 2 2
x y z 51 ? ? ? 
 1. 540 2. –540 
 3. –225 4. 765 
 
19. If area of any triangle is 384 cm
2
 and its sides are in Ratio 3:4:5 then perimeter of triangle 
will be? 
 1. 60cm 2. 48cm 
 3. 64cm 4. 96cm 
 
 
  
 
20. 
13
48
 is equal to  
 1. 
1
1
3
1
1
16
?
?
 2. 
1
1
3
1
1
1
1
8
?
?
?
 
 3. 
1
1
3
1
1
1
2
4
?
?
?
 4. 
1
1
3
1
1
8
?
?
  
 
21. If for any two numbers a and b, the operation $ is defined as follow: 
 ? ? a$b a a b ? ? ? then ? ? 2$0 S1? 
 1. 12 2. 10 
 3. 20 4. 4 
 
22. The accompanying figure shows a right + trapezoid 
? ?
AD BC Based on this information 
and the information in the figure, the area of the trapezoid (in m
2
) is 
 
 
 1. 150 2. 120 
 3. 108 4. 96 
 
Directions (23 to 25) find the missing numbers in the number series. 
 
23. 4, 8, 28, ?, 244 
 1. 69 2. 75 
 3. 80 4. 90 
 
24. 4, 7, 12, 19, 28, 39, ? 
 1. 48 2. 52 
 3. 55 4. 58 
 
25. 10080, 1680, ?, 84, 28, 14 
 1. 840 2. 168 
 3. 108 4. 336 
 
26. The compound interest on Rs. 30, 000 at 7% per annum is Rs. 4, 347. The period (in year) is 
 1. 1 2. 2 
 3. 3 4. 3.5 
 
27. Among the numbers 
3 5 4
2, 9, 16, 32 the greatest one is:  
 1. 2 2. 
3
9 
 3. 
4
16 4.
5
32 
 
  
 
 
28. If 
1
x 2
x
? ? and x is real, then the value of 
17
19
1
x
x
? is   
 1. 1 2. 0 
 3. 2 4. –2 
 
29. To win a 20 over match, the run rate is required 7.2. If in the end of 15
th
 over, the run rate is 
6. Then to win the match the required run rate is?  
 1. 1.2 2. 13.2 
 3. 10.8  4. 12 
 
30. If P and Q are HCF and LCF of two Algebric expression respectively and P + Q = x + y then 
what will be value of 
3 3
P Q ? ? 
 1. 
3 3
x y ? 2. 
3 3
x y ? 
 3. x y ? 4. x y ? 
 
31. Pipe A and B can fill a tank in 12 minutes and 16 minutes respectively. Both pipe are kept 
open for x minutes and then B is closed and A fills the rest of tank in 5 minutes. The value of 
x will be  
 1. 4 minutes  2. 6 minutes  
 3. 5 minutes  4. 7 minutes  
 
32. The accompanying figure shows right triangle ABC and isosceles triangle ABD (AB = AD) 
 
 Based on this information and the information in the figure, the value of angle ? is 
 1. 60
0
 2. 45
0
 
 3. 30
0
 4. 25
0
 
 
33. 
 
 
 The accompanying figure shows a circle whose centre is O and radius is 10cm. The shaded 
sector equal 
1
6
of the area of the circle. Based on this information and the information in 
figure the length (in cm) of the arc AQB is 
 1. 30 ? 2. 
40
3
? 
 3. 
20
3
? 4. 20 ? 
 
34. If length of a Rectangle is increased by 25% and its width decreased by 20% then of the 
following which change in the Area of Rectangle occur. 
 1. 10% increase  2. 16% increase  
Page 5


 
  
 
NTSE STAGE – I (DELHI STATE)  
05 – A (2019 – 20)  
 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
 
QUESTION PAPER 
 
1. What is sum of all positive factors of 256. 
 1. 526 2. 511 
 3.  625 4. 562 
 
2. Value of 
? ?
X X 1 1
X1 X XX1
?
? ?
? ?
 will be? 
 1. 
2
X 2. 1 
 3. X 4. 2 
 
3. Sum of sequence 5+6+7+8+…+19 will be? 
 1. 180 2. 175 
 3. 185 4. 190 
 
4. If three Numbers are in Ratio 
1 2 3
: :
2 3 4
, Difference between largest and smallest is 27 then 
numbers are 
 1. 54, 72, 81 2. 24, 45, 51 
 3. 64, 72, 91 4. 54, 65, 81 
 
5. Which of the following number will completely divide the value of 
? ?
25 26 27 28
3333 ??? ? 
 1. 35 2. 40 
 3. 50 4. 45 
 
6. Rohan’s score on the mid term exam was 75, and his score on the final exam was 90. If the 
weight of the final exam is twice that of mid term, what is Rohan’s final score in the course? 
 1. 82.5 2. 80 
 3. 85.5 4. 85 
 
7. A grandmother, mother and daughter wish to arrange themselves in a row in order to be 
photographed. How many different ways can they arrange themselves? 
 1. 6 2. 3 
 3. 18 4. 9 
 
8. At the time of marriage a man was 6 year older than his wife, but 12 year after the marriage 
his age was 
6
5
 times the age of his wife. Their ages (in years) at the time of the marriage 
were? 
 1. 26, 20 2. 24, 18 
 3. 27, 21 4. 30, 24 
 
9. If we throw a dice, what is the probability of obtaining a result that is less than 4. If we know 
that the result obtained was an even number? 
 1. 
1
2
 2. 
2
3
 
 
  
 
 3. 
1
3
 4. 
4
5
 
 
10. There are 10 balls in a box, 5 white and 5 black. Two balls are removed randomly from the 
box, one after another. The first ball that is removed is black and it is not returned to the box. 
What is the probability that the second ball that is removed is also black? 
 1. 
5
9
 2. 
4
9
 
 3. 
3
9
 4. 
1
2
 
 
11. Some equations are based on the basis of a certain system. Using the same pattern solve 
the unsolved equation. If 10 3 12,12 4 13,14 5 14 ?? ? ? ?? what is 16 – 6 = ? 
 1. 10 2. 15 
 3. 16 4. 18 
 
12. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. 
For how many minutes does the bus stop per hour? 
 1. 9 2. 10 
 3. 12 4. 20 
 
13. If 40% of 1620 + 30% of 960 = ?% of 5200 
 1. 12 2. 24 
 3. 5 4. 18 
 
14. In a row, 25 trees are planted at equal distance from each other. The distance between 1
st
 
and 25
th
 tree is 30m. What is the distance between 3
rd
 and 15
th
 tree? 
 1.8m 2. 15m 
 3. 16m 4. 18m 
 
15. In a school, the bell is rung once after each half an hour. The school starts at 8:00 AM and 
close at 1:30PM. The bell is rung 3 times continuously, at the time beginning, at the time of 
lunch break at 10:00 and 10:30 AM and at the end. How many times is the bell rung every 
day? 
 1. 21 2. 22 
 3. 19  4. 20 
 
16. If 80% of A = 50% of B and B = x% of A then value of x will be? 
 1. 145 2. 170 
 3. 150 4. 160 
 
17. The mean of five consecutive number is 7. Which is the highest number? 
 1. 10 2. 7 
 3. 9 4. 8 
 
18. Find the value of 
3 3 3
xyz 3xyz ? ? ? . If xyz 15 ? ? ? and 
2 2 2
x y z 51 ? ? ? 
 1. 540 2. –540 
 3. –225 4. 765 
 
19. If area of any triangle is 384 cm
2
 and its sides are in Ratio 3:4:5 then perimeter of triangle 
will be? 
 1. 60cm 2. 48cm 
 3. 64cm 4. 96cm 
 
 
  
 
20. 
13
48
 is equal to  
 1. 
1
1
3
1
1
16
?
?
 2. 
1
1
3
1
1
1
1
8
?
?
?
 
 3. 
1
1
3
1
1
1
2
4
?
?
?
 4. 
1
1
3
1
1
8
?
?
  
 
21. If for any two numbers a and b, the operation $ is defined as follow: 
 ? ? a$b a a b ? ? ? then ? ? 2$0 S1? 
 1. 12 2. 10 
 3. 20 4. 4 
 
22. The accompanying figure shows a right + trapezoid 
? ?
AD BC Based on this information 
and the information in the figure, the area of the trapezoid (in m
2
) is 
 
 
 1. 150 2. 120 
 3. 108 4. 96 
 
Directions (23 to 25) find the missing numbers in the number series. 
 
23. 4, 8, 28, ?, 244 
 1. 69 2. 75 
 3. 80 4. 90 
 
24. 4, 7, 12, 19, 28, 39, ? 
 1. 48 2. 52 
 3. 55 4. 58 
 
25. 10080, 1680, ?, 84, 28, 14 
 1. 840 2. 168 
 3. 108 4. 336 
 
26. The compound interest on Rs. 30, 000 at 7% per annum is Rs. 4, 347. The period (in year) is 
 1. 1 2. 2 
 3. 3 4. 3.5 
 
27. Among the numbers 
3 5 4
2, 9, 16, 32 the greatest one is:  
 1. 2 2. 
3
9 
 3. 
4
16 4.
5
32 
 
  
 
 
28. If 
1
x 2
x
? ? and x is real, then the value of 
17
19
1
x
x
? is   
 1. 1 2. 0 
 3. 2 4. –2 
 
29. To win a 20 over match, the run rate is required 7.2. If in the end of 15
th
 over, the run rate is 
6. Then to win the match the required run rate is?  
 1. 1.2 2. 13.2 
 3. 10.8  4. 12 
 
30. If P and Q are HCF and LCF of two Algebric expression respectively and P + Q = x + y then 
what will be value of 
3 3
P Q ? ? 
 1. 
3 3
x y ? 2. 
3 3
x y ? 
 3. x y ? 4. x y ? 
 
31. Pipe A and B can fill a tank in 12 minutes and 16 minutes respectively. Both pipe are kept 
open for x minutes and then B is closed and A fills the rest of tank in 5 minutes. The value of 
x will be  
 1. 4 minutes  2. 6 minutes  
 3. 5 minutes  4. 7 minutes  
 
32. The accompanying figure shows right triangle ABC and isosceles triangle ABD (AB = AD) 
 
 Based on this information and the information in the figure, the value of angle ? is 
 1. 60
0
 2. 45
0
 
 3. 30
0
 4. 25
0
 
 
33. 
 
 
 The accompanying figure shows a circle whose centre is O and radius is 10cm. The shaded 
sector equal 
1
6
of the area of the circle. Based on this information and the information in 
figure the length (in cm) of the arc AQB is 
 1. 30 ? 2. 
40
3
? 
 3. 
20
3
? 4. 20 ? 
 
34. If length of a Rectangle is increased by 25% and its width decreased by 20% then of the 
following which change in the Area of Rectangle occur. 
 1. 10% increase  2. 16% increase  
 
  
 
 3. 5% decrease  4. No change  
35. An official meeting is attended by 130 department employees of them 66 drink tea, 56 drink 
coffee and 63 drink juice, 27 can drink either tea or coffee, 25 can drink coffee or juice and 
23 can drink juice and tea. 5 employees can drink any of the three. How many dirnk only tea. 
 1. 21 2. 22 
 3. 18 4. 20 
 
36. Of the three number, the sum of first two is 55, third is 65, and sum of third with thrice of the 
first is 110. The third number is? 
 1. 25 2. 30 
 3. 35 4. 28 
 
Directions : (37 to 40) Study the following table and answer questions given below: 
 
EMPLOYEES SOURCE OF INCOME (Rs) 
 K L M N O 
Salary 12000 6000 21000 9000 12000 
Bonus 2400 1200 4500 2400 3000 
Overtime 5400 2100 6000 5100 6000 
Arrers 6000 5400 12000 4200 7500 
Miscellaneous 1200 300 1500 300 1500 
Total  27000 15000 45000 21000 30000 
 
37. The employee who has minimum ratio of income from arrear to income from salary is 
 1. K 2. L 
 3. M 4. N 
 
38. The employee who earns maximum bonus in comparison to his total income? 
 1. M 2. N 
 3. L 4. K 
 
39. The employee who has maximum percentage of his salary out of the income? 
 1. K 2. L 
 3. M 4. O 
 
40. The income from overtime is what percentage of the income from the arrears in case of 
employee in category O? 
 1. 80 2. 75 
 3. 25  4. 20 
 
41. The ratio of the present ages of Mohan and Suresh is 4:5. Five year ago, the ratio of their 
ages was 7:9. Their present ages (in year) are: 
 1. 40, 50 2. 18, 25 
 3. 40, 60 4. 20, 25 
 
42. For a business lunch in a certain restaurant, you many choose one of 3 different first courses 
and one of 4 different main course. In addition to first course and the main courses, you 
have a choice of a soup or dessert. How many different combinations of three course 
business lunch does this restaurant offer? 
 1. 12 2. 14 
 3. 18 4. 24 
 
43. If the length of a rectangular plot of land is increased by 
1
12 %
2
 and the breadth is 
decreased by 10%, its area is -- 
 1. Decreased by 1.25% 2. Decreased by 2.5% 
 3. Increased by 2.5% 4. Increased by 1.25%